alissa owns a lovely country store. she buys 6 jars of honey for $65 and the sells 5 jars for $72. how many jars would alissa have to buy and then sell to make a profit of $214 on the honey?

Answers

Answer 1

She must purchase and sell at least 61 jars to make a profit of $214.

How to determine

First, calculate the cost per jar of honey that Alissa purchased:

$65/6 jars = $10.83/jar

Then, calculate the selling price per jar of honey:

$72/5 jars = $14.40/Jar

The profit per jar of honey is the selling price minus the cost price:

$14.40 - $10.83 = $3.57/jar

To find the number of jars that Alissa needs to sell to make a profit of $214, divide the total profit by the profit per jar:

$214 ÷ $3.57/jar ≈ 60.03 jars

Since Alissa cannot sell 0.03 of a jar of honey, she must purchase and sell at least 61 jars to make a profit of $214.

Learn more about cost price at

https://brainly.com/question/29511226

#SPJ11


Related Questions

Find the missing side of the triangle below

Answers

The value of y in the given triangle is 7.44 units.

What is tangent in trigonometry?

The trigonometric ratio between the opposing and adjacent sides of a right triangle that contains an angle is its tangent. The trigonometric functions, also known as circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths. All geosciences, including navigation, solid mechanics, celestial mechanics, geodesy, and many more, utilise them extensively.

The given triangle is a right-triangle.

The trigonometric identity that gives the relationship between opposite side and adjacent side is tan.

Thus,

tan (28) = opposite / adjacent = y / 14

y = 0.53 (14)

y = 7.44

Hence, the value of y in the given triangle is 7.44 units.

Learn more about tangent function here:

https://brainly.com/question/14346186

#SPJ1

The monthly rent for a pizza parlor is $1,200. the average production cost per pizza is $6.75. the monthly expenses for the pizza parlor are given by the function E(x) = 1,200 + 6.75x, where x is the number of pizzas sold. for x pizzas sold, the pizza parlor's revenue is given by the function R(x) = 12.5x. the monthly profit of the pizza parlor is the difference between its revenue and its expenses. which function represents the monthly profit, P(x)?

Answers

The monthly profit, P(x), of a pizza parlor is given by the function P(x) = 5.75x - 1,200, where x is the number of pizzas sold, given revenue and expense functions.

The monthly profit, P(x), is the difference between the revenue and the expenses, so:

P(x) = R(x) - E(x)

From the given information:

R(x) = 12.5x (revenue per pizza is $12.5, and x is the number of pizzas sold)

E(x) = 1,200 + 6.75x (expenses, which include the monthly rent of $1,200 and the production cost of $6.75 per pizza, multiplied by the number of pizzas sold)

Substituting the values of R(x) and E(x) into the equation for P(x):

P(x) = 12.5x - (1,200 + 6.75x)

Simplifying the equation:

P(x) = 5.75x - 1,200

Therefore, the function representing the monthly profit, P(x), is P(x) = 5.75x - 1,200.

To know more about Profit:

https://brainly.com/question/1291585

#SPJ4

Answer:

P(x)= 5.75x -1,200

Step-by-step explanation:

Plato/Edmentum

Help!
I need your help.

Answers

a) 5x - 8y = -13 (x3)
2x - 3y = -4 (x8)

15x - 24y = -39 -
16x - 24y = -32
-x / = -7
x = -7/-1
x=7

Solve 2x-3y=-4 by using x=7
2x - 3y = -4
2(7) - 3y = -4
14 - 3y = -4
-3y = -4 -14
-3y = -18
y = -18/-3
y = 6

Therefore x = 7 and y = 6

find two positive real numbers such that the sum of the first number and the second number is 48 and their product is a maximum

Answers

Answer:

x = 24 and y = 24

Step-by-step explanation:

Let's use algebra to solve this optimization problem.

Let x be the first number, and y be the second number. Then we have the following two equations based on the problem statement:

x + y = 48 (sum of the two numbers is 48)

xy = ? (product of the two numbers, which we want to maximize)

To solve for x and y in terms of each other, we can use the fact that:

(x + y)^2 = x^2 + 2xy + y^2

Expanding the left side of the equation gives:

x^2 + 2xy + y^2 = 2304

And substituting xy for its value in terms of x and y gives:

x^2 + 2xy + y^2 = x^2 + 2(48 - x)y + y^2 = 2304

Simplifying this equation gives:

2y^2 - 96y + x^2 - 2304 = 0

To maximize the product xy, we need to maximize the value of xy = x(48 - x) = 48x - x^2. This function is a quadratic that opens downwards, and therefore, its maximum value occurs at the vertex of the parabola, which is located at x = -b/2a = -48/(2*-1) = 24.

Thus, the two positive real numbers that sum up to 48 and their product is a maximum are x = 24 and y = 24.

Emma and Cooper went to Tico’s tacos for lunch. Emma ordered three tacos and one burrito and Cooper ordered one taco and two burritos Emmas order total was $3.65 and Cooper’s bill was $3.30. Write and solve a system of equations to model the situation above. Explain the solution in the context of this problem. Explain, or show your work in the box below.

Answers

In the given system of equations one taco costs $0.80 and one burrito costs $0.72.

What is a system of equations?

An equation system is a finite collection of equations for which we searched for the common solutions. It is sometimes referred to as a set of simultaneous equations or an equation set. The classification of a system of equations is similar to that of a single equation. In modelling issues where the unknown values may be expressed in the form of variables, a system of equations finds use in everyday life.

Let us suppose the cost of one taco = x.

Let us suppose the cost of one burrito = y.

Then, for Emma we have:

3x + y = 3.65

For Cooper we have:

x + 2y = 3.30

Using elimination, multiply the first equation by 2 and subtract it from the second equation:

(2)(3x + y = 3.65)

6x + 2y = 7.30

x + 2y = 3.30

-5x = -4

x = 4/5

Substituting this value of x into either equation:

3(4/5) + y = 3.65

y = 2.15/3 ≈ 0.72

Therefore, one taco costs $0.80 and one burrito costs $0.72.

Learn more about system of equations here:

https://brainly.com/question/13760328

#SPJ1

2x^3+15x^2+24x+k has 3 linear factors, two of which are identical. find k, and hence factorise the cubic

Answers

The value of k in the cubic equation is 2 and factorization of the equation is 2(x-1)^2(x+1)

What is the value of k?

If 2x^3 + 15x^2 + 24x + k has three linear factors, then it must be in the form:

[tex]2x^3 + 15x^2 + 24x + k = a(x-b)(x-c)^2[/tex]

where a, b, and c are constants, and (x-c)^2 means that (x-c) is a repeated factor.

Expanding the right side, we get:

[tex]2x^3 + 15x^2 + 24x + k = a(x^3 - 2cx^2 + cx^2 - 2cx + c^2x - c^2)[/tex]

Simplifying, we get:

[tex]2x^3 + 15x^2 + 24x + k = ax^3 - 2acx^2 + ac^2x - 2acx + ac^2 + a(-c^2)\\2x^3 + 15x^2 + 24x + k = ax^3 + (-2ac + ac^2)x^2 + (-2ac + ac^2)x - ac^2[/tex]

Equating the coefficients of each power of x on both sides, we get:

[tex]a = 2\\-2ac + ac^2 = 15\\-2ac + ac^2 = 24\\-ac^2 = k\\\\[/tex]

From the second and third equations, we can see that -2ac + ac^2 = 15 and -2ac + ac^2 = 24. These equations are equivalent, so we can set them equal to each other:

[tex]-2ac + ac^2 = 15 = 24[/tex]

Simplifying, we get:

ac^2 - 2ac + 9 = 0

This is a quadratic equation in ac. Solving for ac using the quadratic formula, we get:

[tex]ac = [2 \± \sqrt(4 - 4(1)(9))] / 2[/tex]

[tex]ac = 1 \± \sqrt(-5)[/tex]

Since ac is the product of two real numbers (b and c), we know that the square root of -5 must cancel out. This is only possible if ac = 1 and c = -1. Therefore, b = -c = 1, and we can find k by setting ac^2 = -k:

[tex]1 = 2a\\15 = -2ac + ac^2 = -2a + a^2\\24 = -2ac + ac^2 = -2a + a^2\\-k = -ac^2 = 2(-1)^2 = 2\\[/tex]

Therefore, k = -2, and the factorization of 2x^3 + 15x^2 + 24x - 2 is:

2x^3 + 15x^2 + 24x - 2 = 2(x-1)^2(x+1)

Learn more on cubic equations here;

https://brainly.com/question/20896994

#SPJ1

PLEASE HELP ME
(Answer these four questions please)

Answers

3. The statement is true,  the correlation coefficient is close to -1. 4. temperature for a city with a latitude of 48 is 43. 5. The statement is false. 6. cannot make a reasonable estimate

Describe Equation?

Equations can be used to model real-world situations and solve problems in many fields, including science, engineering, finance, and more. They are an essential tool in mathematics and are used extensively in algebra, calculus, and other advanced branches of math.

Equations can involve various mathematical operations such as addition, subtraction, multiplication, division, exponentiation, and others.

Question 3:

The statement is true. We can check this by calculating the correlation coefficient between the latitude and temperature data points, which should be close to -1. The calculated line of best fit is also consistent with the given data.

Question 4:

To estimate the temperature for a city with a latitude of 48, we can use the equation of the line of best fit:

y = -1.07x + 92.87

Substituting x = 48, we get:

y = -1.07(48) + 92.87

y = 42.79

Rounding to the nearest whole number, the estimated temperature for a city with a latitude of 48 is 43.

Question 5:

The statement is false. We can check this by calculating the correlation coefficient between the passengers and suitcases data points, which should be close to 1. The given line of best fit has a negative slope, which is inconsistent with the positive correlation between the variables.

Question 6:

To estimate the number of suitcases for a flight carrying 250 people, we can use the equation of the line of best fit:

y = -1.98x + 7.97

Substituting x = 250, we get:

y = -1.98(250) + 7.97

y = -485.03

However, it does not make sense for the number of suitcases to be negative. Therefore, we cannot make a reasonable estimate for the number of suitcases on a flight carrying 250 people using this line of best fit.

To know more about correlation visit:

https://brainly.com/question/15269042

#SPJ1

in a heptagon, the degree measures of the interior angles are $x, ~x, ~x-2, ~x-2, ~x 2, ~x 2$ and $x 4$ degrees. what is the degree measure of the largest interior angle?

Answers

The degree measure of the largest interior angle of the given heptagon is 132.57 degrees.

The largest interior angle of the given heptagon. The degree measures of the interior angles of a heptagon are 7, with 7 sides or vertices, are $x, ~x, ~x-2, ~x-2, ~x+2, ~x+2,$ and $x+4$ degrees.

The sum of the degree measures of the interior angles of a polygon with n sides is given by $S = (n-2) \c dot 180^\circ$. The sum of the interior angles of a heptagon is given by $S = (7-2) \cdot 180^\circ = 900^\circ$.

The sum of the degree measures of the interior angles of the heptagon is equal to $x+x+x-2+x-2+x+2+x+2+x+4 = 7x+4$. To find the value of x, we will set this equation equal to the total sum of the interior angles:$7x+4 = 900^\circ$. Solving for x, we get$x = 128.57$

We may now substitute the value of x to get the degree measures of each of the angles in the heptagon:$x = 128.57^\circ$$x = 128.57^\circ$$x - 2 = 126.57^\circ$$x - 2 = 126.57^\circ$$x + 2 = 130.57^\circ$$x + 2 = 130.57^\circ$$x + 4 = 132.57^\circ$

To find the degree measure of the largest interior angle, we must look for the angle with the largest value. We can see that the largest angle measures $132.57^\circ$.

Learn more about Heptagon

brainly.com/question/12630702

#SPJ11

17 Troy scored 945 points playing 3 games of pinball. He scored
312 points in the first game and 356 points in the second game.
How many points did Troy score in the third game?

Answers

Answer:

Troy scored 277 points in the third game of pinball.

Step-by-step explanation:

Let x be the number of points Troy scored in the third game.

We know that Troy scored a total of 945 points in 3 games, so we can set up an equation:

312 + 356 + x = 945

Simplifying this equation, we get:

668 + x = 945

Subtracting 668 from both sides, we get:

x = 277

Therefore, Troy scored 277 points in the third game of pinball.

A right triangle is describe as having an angle of measure six less than negative two times a number, another angle measure that is three less than negative one-fourth the number, and a right angle. What are the measure of the angles in degree

Answers

The angles measure 90°, -2x - 6, and -1/x - 3. ⇒ x = -44. Therefore, the required measures of the angles are 90°, 82°, and 8° in the given triangle.

A right triangle is a type of triangle where one of the angles measures exactly 90 degrees. This angle is known as the right angle, and it is formed by the intersection of the two sides of the triangle that are perpendicular to each other. The other two angles of the right triangle are acute angles, meaning they measure less than 90 degrees.

The side opposite the right angle is called the hypotenuse, and it is always the longest side of the right triangle. The other two sides are called legs, and they can be of different lengths. This theorem is one of the most important and useful tools in geometry, and it allows us to solve many practical problems involving right triangles, such as finding the height of a building.

To learn more about Right triangle visit here:

brainly.com/question/26834721

#SPJ4

What x-values are a solution to the System?

Select EACH correct answer.

Question 2 options:

x = -2


x = -1


x = 0


x = 1


x = 2

Answers

The solutions to the system equations are x = -1 and x = 0.

What is a system of equations?

When two or more variables are related to one another and equations are constructed to determine each variable's value, the result is a system of equations. an equation is a balance scale, and for the equation to stay true, both sides must be equal.

Given equations are:

[tex]y=2^x - 1\\y=\frac{1}{2} x[/tex]

The solutions of the system for which; [tex]y_{1} =y_{2}[/tex]

According to the given table, the solutions to the system of both equations at x = -1 and x = 0.

To know more about equations, visit:

https://brainly.com/question/2228446

#SPJ1

Write an equation for an ellipse centered at the origin, which has foci at (\pm\sqrt{12},0)(± 12 ​ ,0)left parenthesis, plus minus, square root of, 12, end square root, comma, 0, right parenthesis and vertices at (\pm\sqrt{37},0)(± 37 ​ ,0)left parenthesis, plus minus, square root of, 37, end square root, comma, 0, right parenthesis

Answers

The equation for the ellipse is: [tex]$\frac{x^2}{37}[/tex] + [tex]$\frac{y^2}{25}[/tex] [tex]= 1$$[/tex]

The standard equation for an ellipse centered at the origin is:

[tex]$\frac{x^2}{a^2}[/tex] + [tex]$\frac{y^2}{b^2}[/tex] [tex]= 1$$[/tex]

where a is the distance from the center to a vertex, and b is the distance from the center to a co-vertex.

In this case, the vertices are located at [tex]$(\pm\sqrt{37}, 0)$[/tex], which means [tex]$a=\sqrt{37}$[/tex]. The distance between the foci is [tex]$2c=2\sqrt{12}=2\sqrt{3\times 4}=2\sqrt{3}\times 2=4\sqrt{3}$[/tex], which means [tex]$c=2\sqrt{3}$[/tex].

The value of b can be found using the relationship between a, b, and c in an ellipse:

[tex]$$a^2 = b^2 + c^2$$[/tex]

Substituting the values we know, we get:

[tex]$$37 = b^2 + (2\sqrt{3})^2$$[/tex]

Simplifying:

[tex]$$37 = b^2 + 12$$[/tex]

[tex]$$b^2 = 37 - 12 = 25$$[/tex]

Taking the square root of both sides, we get:

[tex]$$b = \pm 5$$[/tex]

Since the co-vertices are located at [tex]$(0,\pm b)$[/tex], we can see that [tex]$b=5$[/tex] (and not -5, since the ellipse is centered at the origin).

Therefore, the equation for the ellipse is:

[tex]$\frac{x^2}{37}[/tex] + [tex]$\frac{y^2}{25}[/tex] [tex]$ = 1$$[/tex]

To learn more about standard equations:

https://brainly.com/question/2892729

#SPJ4

A 10 kilogram object suspended from the end of a vertically hanging spring stretches the spring 9.8 centimeters. At time t = 0, the resulting mass-spring system is disturbed from its rest state by the force F(t) = 100cos(8t). The force F(t) is expressed in Newtons and is positive in the downward direction, and time is measured in seconds.
Determine the spring constant k.
k = ? Newtons / meter
Formulate the initial value problem for y(t), where y(t) is the displacement of the object from its equilibrium rest state, measured positive in the downward direction. (Give your answer in terms of y,y′,y′′,t.)
Differential equation: ?
Initial conditions: y(0) = ? and y′(0) = ?
Solve the initial value problem for y(t).
y(t) = ?
Plot the solution and determine the maximum excursion from equilibrium made by the object on the time interval 0 ≤ t < [infinity]. If there is no such maximum, enter NONE.
maximum excursion = ? meters

Answers

Using Hooke's law the maximum value of |cos(8t)| is 1, so the maximum excursion is 1/6 meters.

To find the spring constant k, we use Hooke's law:

F = -ky

where F is the weight of the object, and y is the distance it is stretched from its rest position. At equilibrium, F = mg = 10 × 9.81 = 98.1 N. Thus,

98.1 = -k × 0.098

k = -1000 N/m

The equation of motion for the system is given by:

my'' + ky = F(t)

Substituting the given values, we get:

10y'' + (-1000)y = 100cos(8t)

y'' - 100y = 10cos(8t)

with initial conditions y(0) = 0 and y'(0) = 0.

The characteristic equation is r² - 100 = 0, with roots r = ±10i. The complementary solution is therefore y_c(t) = c1cos(10t) + c2sin(10t).

For the particular solution, we assume a form of yp(t) = Acos(8t) + Bsin(8t), and substitute it in the differential equation to get:

-64Acos(8t) - 64Bsin(8t) - 100(Acos(8t) + Bsin(8t)) = 10cos(8t)

Solving for A and B, we get A = -1/6 and B = 0. Thus, the particular solution is yp(t) = (-1/6) × cos(8t).

The general solution is therefore y(t) = c1cos(10t) + c2sin(10t) - (1/6)*cos(8t). Applying the initial conditions, we get c1 = 0 and c2 = 0, so the particular solution is simply y(t) = (-1/6) × cos(8t).

The maximum excursion from equilibrium can be found by taking the absolute value of y(t) and finding its maximum value. We have:

|y(t)| = (1/6) × |cos(8t)|

The maximum value of |cos(8t)| is 1, so the maximum excursion is 1/6 meters.

Learn more about Hooke's law at

https://brainly.com/question/29126957

#SPJ4

In an introductory psychology class with n = 50 students, there are 9 freshman males, 15 freshman females, 8 sophomore males, 12 sophomore females, and 6 junior females. A random sample of n = 2 students is selected from the class. If the first student in the sample is a male, what is the probability that the second student will also be a male?
a. 8/14
b. 12/20
c. 20/44
d. 20/50

Answers

Answer: Total number of males= C

Step-by-step explanation:

*9. The consultancy Imagination Inc. Is working with its manufacturing client Parts-R-Us to improve their on-time

performance. The firm can earn a bonus of up to $1,000,000 based on how much the on-time performance actually

improves. It's current (baseline) on-time performance is 90%.

The company typically completes approximately 1,000 orders per month, with approximately 100 orders delayed. The

bonus payment is prorated according to the following criteria:

• The on-time performance improvement is calculated based on a reduction in late events or an improvement in on-

time performance.

• No bonus is earned for the first 25% reduction in late events, say from 100 to 75. Maximum bonus is earned once

Parts-R-Us achieves 95% on-time performance.

Please answer the following:

Write down a formula to

determine the total bonus

amount to be received

Using your formula, show

how much bonus would be

paid if Parts-R-Us achieves

94% on-time performance

Answers

Parts-R-Us could be eligible for a $0 bonus if it achieves an on-time performance rate of 94% or more.

The company would have to maintain an order delivery rate of 95% in order to qualify for the bonus. If achieved, the bonus would be as follows: Bonus = 94% * (1 - 100).

The following is the calculation for the bonus:

Bonus = P * (1 - D)

Where:

P represents the proportion of orders that are delivered on time.

D represents the total number of orders placed late.

In the event that Parts-R-Us achieves an on-time performance rate of 94%, the bonus would be as follows:

Bonus = 94% * (1 - 100)

Bonus = $0

If the company only managed to complete its tasks 94% of the time, it will not be eligible for a bonus.

In order to qualify for the maximum bonus, Parts-R-Us would have to maintain an on-time delivery rate of 95%.

Learn more about Bonus here: brainly.com/question/29846468

#SPJ4

seven less than the product of a number n and 1/4 is no more than 95

Answers

[tex]\frac{1}{4} n - 7 \leq 95[/tex]

what is the area of the parallelogram​

Answers

The area of the parallelogram is 324 square yards.

What is a parallelogram ?

A parallelogram is a four-sided geometric shape that has two pairs of parallel sides. It isdefined by its four vertices, four sides, and two diagonals that intersect at their midpoint. The opposite sides of a parallelogram are congruent, and the opposite angles are also congruent. The adjacent angles are supplementary and add up to 180 degrees.

To find the area of a parallelogram, we need to multiply the length of the base by the height, which is the perpendicular distance from the base to the opposite side. This formula is similar to finding the area of a rectangle, where the base is one side of the rectangle and the height is the distance from that side to the opposite side.

Calculating the area of the given parallelogram :

The area of a parallelogram is  A = bh, where b is the base and h is the height.

Given the height of the parallelogram is 12 yards and the base is 27 yards. Using the formula for the area of a parallelogram, we can calculate the area as follows:

A = bh

A = 27 yards × 12 yards

A = 324 square yards

Therefore, the area of the parallelogram is 324 square yards.

To know more about parallelogram visit :

brainly.com/question/29147156

#SPJ1

Kids's Kingdom, a retail toy chain, placed a seasonal order for stuffed animals from Stuffed Stuff, a distributor. Large animals cost $20, and small ones cost $14.
If the total cost of the order was $7,320 for 450 pieces, how many of each size were ordered? What was the dollar amount of each size ordered?

Answers

Answer:

Kids's Kingdom ordered 170 large stuffed animals and 280 small stuffed animals. The dollar amount of each size ordered was $3,400 for the large stuffed animals and $3,920 for the small stuffed animals.

Step-by-step explanation:

Let's use the following variables:

L for the number of large stuffed animals

S for the number of small stuffed animals

We can set up a system of two equations to represent the given information:

L + S = 450 (equation 1)

20L + 14S = 7320 (equation 2)

We can solve this system of equations using substitution or elimination. Let's use substitution.

From equation 1, we can solve for L:

L = 450 - S

Substitute this expression for L into equation 2:

20(450 - S) + 14S = 7320

Distribute the 20:

9000 - 20S + 14S = 7320

Simplify and solve for S:

6S = 1680

S = 280

So, Kids's Kingdom ordered 280 small stuffed animals. We can use equation 1 to find the number of large stuffed animals:

L + 280 = 450

L = 170

Therefore, Kids's Kingdom ordered 170 large stuffed animals.

To find the dollar amount of each size ordered, we can multiply the number of each size by the cost per item:

170 large stuffed animals at $20 each: 170 * $20 = $3,400

280 small stuffed animals at $14 each: 280 * $14 = $3,920

So, Kids's Kingdom spent $3,400 on large stuffed animals and $3,920 on small stuffed animals for a total cost of $7,320.

indicate the method you would use to prove the two triangles ~=. if no method applies, enter none

Answers

The method we would be using here to prove the triangle's congruency is LA, the leg-acute theorem.

Define congruency?

The dimensions of the sides and angles of two or more triangles determine whether they are congruent or not. A triangle's size and shape are determined by its three sides and three angles, respectively. If pairings of corresponding sides and corresponding angles are equal, two triangles are said to be congruent. They are the exact same size and form.

Here in the given figures, we can use the LA theorem also known as leg acute. It says that a right triangle is congruent if its leg and any acute angle are congruent with the corresponding leg and any acute angle of another right triangle.

The hypotenuse of the first triangle is corresponding to the hypotenuse of the second triangle.

The angle opposite to the right angle in both the triangles are corresponding to each other.

So as per the LA theorem we can prove that the triangle is congruent.

To know more about congruency, visit:

https://brainly.com/question/6976551

#SPJ1

Drag the correct equation for each graph into the blank spaces. Remember you should convert to slope intercept
form first!

Answers

In both cases, the slope (m) is the coefficient of the x-variable, and the y-intercept (b) is the constant. In the first equation, the slope (m) is 2, and the y-intercept (b) is -3. In the second equation, the slope (m) is 3, and the y-intercept (b) is 6.

What is graph?

Graph is a data structure that consists of nodes (vertices) and edges (connections between nodes). Graphs are used to represent networks, such as social networks, transportation networks, and communication networks. Graphs provide a way to visualize relationships between data points and can be used to discover patterns in data and make predictions. Graphs are a powerful tool in data science and can be used to analyze complex systems.

This is happening because the equations represent the linear relationships between the variables of the graphs. The first equation is in slope-intercept form, and can be used to calculate the y-value of a given x-value. The equation for the second graph is also in slope-intercept form, and can be used to calculate the y-value of a given x-value.

In both cases, the slope (m) is the coefficient of the x-variable, and the y-intercept (b) is the constant. In the first equation, the slope (m) is 2, and the y-intercept (b) is -3. In the second equation, the slope (m) is 3, and the y-intercept (b) is 6.

These equations represent the linear relationships between the variables of the graphs. The slope of the line is the rate of change between the x- and y-values, while the y-intercept is the starting point of the line. By using the equations, we can calculate the y-value of any given x-value on the graph, and thus accurately represent the linear relationships between the variables.

The diagram is given below.

To know more about graph click-
https://brainly.com/question/19040584
#SPJ1

Complete questions as follows-

a red cap fire hydrant provides 1700 liters per minute of water. how long (in minutes to the nearest minute) will it take to fill a water truck with a tank of the following dimensions: 68 inches diameter and 24 feet long? when the tank is full of water, how heavy will the water load be in pounds (lbm) to the nearest pound?

Answers

It will take approximately 8 minutes to fill the water truck, and the weight of the water load will be approximately 30,296 pounds.

How to find out how long it will take to fill the tank.

First, we need to convert the dimensions of the tank from inches to feet:

68 inches diameter = 68/12 feet = 5.67 feet diameter

24 feet long = 24 feet long

Next, we can calculate the volume of the tank in cubic feet:

Volume = [tex]pi x (diameter/2)^2 x length[/tex]Volume = [tex]3.14 x (5.67/2)^2 x 24[/tex]Volume = [tex]485.15 cubic feet[/tex]

Since 1 cubic foot of water weighs 62.4 pounds, we can calculate the weight of the water in the tank in pounds:

Weight = Volume x DensityWeight = 485.15 x 62.4Weight = 30,296.16 pounds

To find out how long it will take to fill the tank, we can use the flow rate of the fire hydrant:

Flow rate = 1700 liters per minute1 liter = 0.264172 gallonsFlow rate = 1700 x 0.264172 = 449.10 gallons per minute1 gallon = 0.133681 cubic feetFlow rate = 449.10 x 0.133681 = 60.05 cubic feet per minute

Finally, we can divide the volume of the tank by the flow rate to find out how long it will take to fill the tank:

Time = Volume / Flow rateTime = 485.15 / 60.05Time = 8.08 minutes

Therefore, it will take approximately 8 minutes to fill the water truck, and the weight of the water load will be approximately 30,296 pounds.

Learn more about feet here : brainly.com/question/29793314

#SPJ1

PLEASE HELP MARKING BRAINLEIST JUST ANSWER ASAP

Answers

Answer: it’s B i think Explanation: it has a greater figure

Answer:

The pink triangle

Step-by-step explanation:

IMPORTANT NOTE: Make sure all the units are the same and consistent

Perimeter of a figure = Total length of the outer boundary

Shape of each figure in this question = Isosceles Triangle


Perimeter of triangle = Sum of all three sides


Perimeter of pink triangle = 36m + 36m + 20m

                                             = 92m

Perimeter of green triangle = 25m + 25m + 35m

                                             = 85m


∴Comparing the two values calculated above, it can be observed that the pink triangle has a greater perimeter

a pastry chef accidentally inoculated a cream pie with six s. aureus cells. if s. aureus has a generation time of 60 minutes, how many cells would be in the cream pie after 7 hours?

Answers

After the time of seven hours, the cream pie would have approximately 768 S. aureus cells after 7 hours with a generation time of 60 minutes.

How many cells would be in the cream pie after 7 hours?

Six S. aureus cells have been accidentally inoculated into a cream pie. S. aureus has a generation time of 60 minutes. S. aureus is a pathogenic bacterium found in the environment, as well as on the skin, and in the upper respiratory tract.

The generation time of this bacterium is 60 minutes, meaning that a single bacterium can produce two new cells in 60 minutes.

If there are 6 S. aureus cells in a cream pie, the number of bacteria will continue to increase as time passes.

The number of generations (n) in seven hours is calculated as:

n = t/g

n = 7 hours × 60 minutes/hour/60 minutes/generation = 7 generations

The number of cells in the cream pie after 7 hours is calculated as :

N = N₀ × 2ⁿ

N = 6 cells × 2⁷

N = 768 cells

Therefore, after seven hours, the cream pie would have approximately 768 S. aureus cells.

Learn more about Number of generations here:

https://brainly.com/question/17045618

#SPJ11

1. Find the length of an arc of a circle with radius 21 m that subtends a central angle of 15°

Answers

The length of the arc is approximately 5.51 meters when a circle with a radius of 21 meters is subtended by a central angle of 15 degrees.

The length of an arc of a circle with radius 21m that subtends a central angle of 15° can be calculated using the formula:

Arc length = (central angle/360°) x 2πr

where r is the radius of the circle, and π is the mathematical constant pi.

Substituting the given values, we get:

Arc length = (15/360) x 2π x 21

Arc length = (1/24) x 2 x 3.14 x 21

Arc length = (1/12) x 3.14 x 21

Arc length = 5.51 meters (rounded to two decimal places).

Find out more about Arc length

brainly.com/question/4868115

#SPJ4

We need to apply the  formula to determine the length of a circle's arc: (Central angle / 360°) x (2 x x radius) is the formula for arc length. the radius is  distance from the circle center to any point on its perimeter,

and the central angle is the angle subtended by the arc at its center. The radius in this instance is stated as 21 meters, while the arc's center angle is provided as 15 degrees. When these values are added to the formula, we obtain: arc length is equal to (15°/360°) x (2x x 21m) 3.68 m. As a result, the arc measures around 3.68 meters in length. As a result, the radius is the distance from the circle's center to any point on its perimeter, if we were to sketch an arc of The arc's length would be around 3.68 meters for a circle with a radius of 21 meters and a center angle of 15 degrees.

learn more about  circle here:

https://brainly.com/question/29142813

#SPJ4

Can anyone solve this ???

Answers

The result (recurrent value), A = sum j=1 to 89 ln(j), is true for every n. This is the desired result.

How do you depict a relationship of recurrence?

As in T(n) = T(n/2) + n, T(0) = T(1) = 1, a recurrence or recurrence relation specifies an infinite sequence by explaining how to calculate the nth element of the sequence given the values of smaller members.

We can start by proving the base case in order to demonstrate the first portion through recurrence. Let n = 1. Next, we have:

Being true, ln(a1) = ln(a1). If n = k, let's suppose the formula is accurate:

Sum j=1 to k ln = ln(prod j=1 to k aj) (aj)

Prod j=1 to k aj * ak+1 = ln(prod j=1 to k+1 aj)

(Using the logarithmic scale) = ln(prod j=1 to k aj) + ln(ak+1)

Using the inductive hypothesis, the property ln(ab) = ln(a) + ln(b)) = sum j=1 to k ln(aj) + ln(ak+1) = sum j=1 to k+1 ln (aj)

(b), we can use the just-proven formula:

A = ln(1, 2,...) + ln + ln (89)

= ln(j=1 to 89) prod

sum j=1 to 89 ln = ln(prod j=1 to 89 j) (j).

To know more about hypothesis visit:-

https://brainly.com/question/29519577

#SPJ1

Grace wants to buy a jump rope that costs $7, a board game that costs $10, and a playground ball that costs $4. She has saved $10 from her allowance, and her uncle gave her $3. How much more money does Grace need to buy the jump rope, the game, and the ball?

Answers

Grace need to buy the jump rope, the game, and the ball $8.

$7 will get you a jump rope.

$10 will get you a board game.

$4 will get you a playground ball.

total amount to be spent: $7 + $10 + $4 = $21

She has ten dollars.

$3 was all her uncle gave her.

13 dollars are all she has.

She needed $8, therefore 21 - 13 = $8.

a sum of money awarded as compensation, a bounty, or to cover costs. a wage that comes with a cost-of-living supplement. especially: a regular amount set aside for household or personal costs.

To know more about cost-of-living, click the below link

https://brainly.com/question/22665912

#SPJ4

You pick a card at random. 1 2 3 What is P(not even)?

Answers

An 1 οr perhaps an even integer will be drawn back 75% οf the times frοm the set οf 1, 2, 3 and 4. Thus, Prοbability P(nοt even) is 75%.

Hοw simple is prοbability?  

Prοbability is the likelihοοd that sοmething will οccur οr the prοbability that sοmething will happen. Prοbability is the measure οf hοw prοbable it is that a cοin will land heads up after being tοssed intο the air.

As prοbabilistic arguments sοmetimes prοduce οutcοmes that appear cοntradictοry οr illοgical, prοbability is usually regarded as amοng the mοst challenging tοpics οf mathematics.

P(1) = 1/4(there is one card with a 1)

P(even) = 2/4 = 1/2 (there are 2 cards with even numbers out of 4)

Therefore,

P( 1 or even) =P(1) + P(even)

= 1/4 + 1/2

= 3/4

To express the answer as a percentage, we can multiply by 100:

P(1 or even) = 3/4 × 100%

=> 75%

To know more about probability visit:

brainly.com/question/30034780

#SPJ1

You pick a card at random. card 1, card 2 and card 3

What is P(not even)?

Write your answer as a fraction or percentage.

A triangle has a base that measures 6.4 feet. Its height measures 5 feet. How many square feet is the area of the triangle?

Answers

Answer:

16 feet

Step-by-step explanation:

Area of triangle = 1/2(a x b)

A = 1/2(6.4 x 5)

A = 32/2

A = 16 feet

If John had 3 apples then Droped 2 then found 4 then gave one to his friend how many apples does he have now​

Answers

Answer:

4 apples

Step-by-step explanation:

We know

John had 3 apples, then Dropped 2, found 4, then gave 1 to his friend.

How many apples does he have now​?

3 - 2 + 4 - 1 = 4 apples

So, he has 4 apples now.

Answer:

4 apples

Step-by-step explanation:

We know that John had 3 apples

but then he had dropped 2 of them

he then found 4

then he gave 1 to his friend

3-2=1

1+4=5

5-1=4

The answer is 4

Hope this helps!

What is the perimeter of the trapezoid below?

Answers

Answer:

82

Step-by-step explanation:

divide this shape into a triangle and rectangle and use 24 as the base of the triangle using the Pythagoras theorem you get that the perpendicular is 7 and since 13 is also parallel to that side, 13+7=20 so one side equals 20 one side equals 25 one side equals 24 and one side equals 13 now add all of these to get 82

Step-by-step explanation:

See image below ..... perimeter = 25 + 13 + 24 + 13 + x

  x is found using pythagorean theorem for right triangles

x = 7 units

total perimeter is then 82 units

Other Questions
which of the following contributed to population migration from the yellow river basin south to the yangzi river? This shape is made up of one half-circle attached to an equilateral triangle with side lengths 20 inches. You can use 3. 14 as an approximation for Why do grade 11s may already start making themselves more eligible for bursaries a microwave is stolen. it cost $300 two years ago and has an expected life of six years. a comparable microwave costs $400 today. what amount will the insurance company pay? a saturated a g c l solution was analyzed and found to contain 1.25 x 10-5 m a g ions. use this value to calculate the k s p of a g c l . Write a loop that computes and displays the sum of the Unicode values of the characters in a string variable named name. Provide your own string to store in name. Create a string called movie and store the title of a movie in it. Pick a movie whose title contains at least 5 characters. Using a for-loop and an if-statement, count and display the number of lowercase vowels in the movie title. (Hint: suppose ch stores a particular character from a string. The Boolean condition ch in 'aeiou' evaluates to True when ch stores a vowel.) in a group of 100 students 50 like online class and 70 loke physical class .represent in venn diagram and how many students like bith type pf classes standards promulgated by the fasb are most likely to be adhered to by which of the following governmental units? The data below represent a demand schedule. Product Price Quantity Demanded$30 1025 2020 3015 4010 50Using the midpoint approach, determine the price elasticity of demand between each of the following prices:Instructions: Round your answers to two decimal places. Enter your answers as a positive value (absolute value). a. Between P1 = $30 and P2 = $25, Ed= b. Between P1 = $25 and P2 = $20, Ed=c. Between P1 = $20 and P2 = $15, Ed= d. Between P1 = $15 and P2 = $10, Ed= | What impact did the Rodney king arrest have on society (a) Show that if is an eigenvalue of A, then is an eigenvalue of [tex]A^{T}[/tex]. Show with an example that the eigenvectors of A and [tex]A^{T}[/tex] are not the same.(b) Show that if is an eigenvalue of A, and A is invertible, then ^-1 is an eigenvalue of A^-1. Think about Marlene's relationship with her father and what it reveals about the story's theme. You should identify at least three moments in the story that reveal the theme and support your claim with textual evidence using in-text citation (page numbers--not lines) pleaseee im begging anyone for the steps of these questions i need them so urgently right now, i have the answer but not the steps pls anyone Imagine the following ten-person society featuring the threshold sequenceAlpha = {0, 1, 2, 4, 4, 5, 6, 7, 8, 10}.What would happen in this society? NEED HELP ASAP!!!Which polynomial best represents the scenario below? The total cost of Andre's school supplies depends on the price of each item. Each notebook (n) is $5, each folder (f) is $4, and each backpack (b) is $15. The following table represents the highest educational attainment of all adultresidents in a certain town. If a resident who is 40 or older is chosen at random, whatis the probability that they have only completed high school? Round your answer tothe nearest thousandth.High school onlySome collegeBachelor's degreeMaster's degreeTotalAge 20-29 Age 30-39 Age 40-49 Age 50 & over Total1567107856647185026132443035501713900969514910776151108525332519421980206251364975394243718521 Do you agree with the sentiments expressed in this speech? Explain. (3-4 sentences) Classify each titration curve as representing a strong acid titrated with a strong base, a strong base titrated with a strong acid, a weak acid titrated with a strong base, a weak basetaed with a strong acid, or a polyprotic acid titrated with a strong base. Strong acid/Strong base/ strong base Weak acid strong base Weak base Polyprotic acid strong acid strong acid strong base mL of titrant mL of titrant mL of titrant mL of titrant mL of titrant Cari owns a horse farm and a horse trailer that cantransport up to 8, 000 pounds of livestock and tack. Shetravels with 5 horses whose combined weight is 6, 240pounds. Let t represent the average weight of tack perhorse. Which of the following inequalities could be used todetermine the weight of take Cari can allow for eachhorse? O 6240 +t 8000O 8000 6240tO 6240 + 5t 8000O 8000 +6240 < 5tO 8000 6240 > 5twhat would the answer be, its multiply chose Part B why does kennedy include the allusion it allusions from part A in his speech