For two numbers to be proportional, they need to be directly increasing or decreasing in a constant ratio.
If Donny makes $9.75 per lawn, we can make a table that looks like this:
1 Lawn = $9.95
2 Lawns = $19.90
3 Lawns = $29.85...
And so on.
You can see this is proportional because it has a constant ratio between both elements.
(1 to 9.95)
So, it is proportional.
Joe painted 3/4 of a bedroom in 1/2 of a day. How many days will it take for Joe to paint one bedroom?
Answer:
3/4
Step-by-step explanation:
Answer:
2/3 of a day
Step-by-step explanation:
3/4 : 1/2 = 1 : X
X=2/3
A high school has a population of 2,035 students and is increasing by 3% each year.
Write an exponential function to model the student population in terms of the number of years from now.
Predict the number of students that will be in the school after five years. Show all of your work.
The student population in the school can be modeled using an exponential function of the form:
P(t) = 2,035 * 1.03^t
where P(t) is the student population t years from now, and 1.03 is the factor by which the population increases each year.
To predict the number of students in the school after five years, we can substitute t = 5 into the function:
P(5) = 2,035 * 1.03^5
= 2,035 * 1.1895
= 2,408.76
Thus, there will be approximately 2,408.76 students in the school after five years.
please help me. I figured out my last question but i really need help!!! please
The area of the figure is 51.63 m²
How determine area of the composite figure?
A composite figure is figure that is made up of two or more different shapes.
The composite figure in the given image is made up of a rectangle, semicircle and a triangle. Therefore, the area of the composite figure will be the sum of the areas of the shape it is made of. Thus:
Area of figure = area if rectangle + area of semicircle + area of triangle
Area of figure = LW + 1/2πr² + 1/2bh
Area of figure = (6 × 5) + (1/2 × 3.14 × 3²) + (1/2 × 3 × 5)
Area of figure = 30 + 14.13 + 7.5
Area of figure = 51.63 m²
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how many integer between 20 and 40 divisable by 3
Answer:
4 prime numbers all divisible by 3
Step-by-step explanation:
there are 4 prime numbers between 20 and 40 23, 29, 31, 37 all divisible by 3
Answer:
7 integers
Step-by-step explanation:
We can find how many integers between 20 and 40 are divisible by 3 by looking at the multiples of 3 that lie between 20 and 40.
1: 3 * 7 = 21
2: 3 * 8 =24
3: 3 * 9 = 27
4: 3 * 10 = 30
5: 3 * 11 = 33
6: 3 * 12 = 36
7: 3 * 13 = 39
MUST ANSWER QUESTION!
A palindrome is a number that is read the same backwards as forwards, for instance 12321. How many 5-digit palindromes with different neighboring digits are there? (Note that 01210 is not considered a 5-digit number and the palindrome 52525 has different neighboring digits. )
There are 24 ,5-digit palindromes with different neighboring .
Define probability.A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Can probability be greater than 1?No, it is always between 0 t0 1.
Such a palindromic number should be abcba
2a+2b+c=14
Thus c has to be even and we need
a+b=14−c/2 and we can choose for a any value from 1 to (14−c)/2
Thus the number of such palindromic numbers is
7+6+5+4+3=25
starting from c=0 up to c=8
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-1.8 × (-9.3)
How do I find this with the whole equation written out show your work of how you do this please
Answer:
16.74
Step-by-step explanation:
-1.8 times -9.3 will have a positive answer because 2 negative numbers will have a positive sum
-1.8
x -9.3
---------
5 4
1 6 2 0
---------
1 6 7 4 ||| add two decimal spaces
16.74
Shoes and hats are on sale. The expression 1/4(s + 24. 80) can be used to determine the discount when you buy shoes with a retail price of s dollars and hats with a total retail price of $24. 80. Write another expression that can be used to determine the discount
The expression (1/4)(s + 24.80) is used to determine the discount when you buy shoes with a retail price of s dollars and hats with a total retail price of $24.80. The expression calculates the discount as a quarter of the total retail price of the shoes and hats. So another expression is 0.25s + 6.20.
Another expression that can be used to determine the discount would be to calculate the discount as a percentage of the total retail price of the shoes and hats. For example, if the discount is 25%, the expression would be:
Discount = 0.25 × (s + 24.80)
This expression calculates the discount as 25% of the total retail price of the shoes and hats.
Another expression can be :
Discount = 0.25×s + 6.2
This expression calculates the discount as 25% of the shoes price and $6.2 for hats.
It is important to note that the specific expression used to determine the discount will depend on the details of the sale and how the discount is being offered. The above expressions are just examples of how the discount can be calculated using different methods.
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On Tuesday Leah bought four hats. On Wednesday half of all the hats that she had were destroyed. On Thursday there were only 13 left. How many did she have on Monday? W: 22 hats N: 20 hats M: 10 hats O: 5 hrs
The number of hats that Leah had on Monday, given that half the hats were destroyed and four hats were bought, was, A. 22 hats.
How to find the number of hats ?If half the hats that Leah owns were destroyed on Wednesday such that only 13 hats were left, then it means that the total hats before the destruction, was :
= 13 hats x 2
= 26 hats
Seeing as Leah bought four hats on Tuesday, this means that the hats she had on Monday were :
= Total hats - Hats purchased on Tuesday
= 26 - 4
= 22 hats
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Clare made an error when solving -4x+3<23−4x+3<23.
The solution of the inequality is,
⇒ x > - 5
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The inequality is,
⇒ - 4x + 3 < 23
Now,
Since, The inequality is,
⇒ - 4x + 3 < 23
Solve as;
⇒ - 4x < 23 - 3
⇒ - 4x < 20
⇒ - x < 5
⇒ x > - 5
Thus, The solution is,
⇒ x > - 5
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Adrian and Rory started comic book collections at the same time. Adrian started with 12 comic books and buys 4 more each month. Will they ever have the same number of comic books ? If so after how many months ? Use an equation to justify your answer
No, Both will not have the same amount of comic books because they add the same number each month.
What is an Equations?Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.
Adrian started with 12 comic books and buys 4 more each month.
Rory started with 8 comic books and buys 4 more each month.
let x be the number of books.
A(x) = 4x+12
Rory starts with 8 comic books and add 4 comic books each month.
R(x) = 4x+8
Hence, Both will not have the same amount of comic books because they add the same number each month. There will be 4 additional comic books for Adrian.
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fill in the following statements with sometimes, always, or never in order to the statements true
Perfect squares NEVER be irrational numbers.
Repeating decimals will ALWAYS be rational numbers.
Irrational numbers will NEVER be able to be written as fractions.
What is a perfect square?A square number, also known as a perfect square, is an integer that is the square of another integer, or the result of multiplying another integer by itself. For instance, 9 is a square number since it equals 3² and is represented by the symbols 3 × 3.
A number whose decimal representation eventually becomes periodic is known as a repeating decimal, also known as a recurring decimal.
All real numbers that are not rational are considered irrational numbers. In other words, it is impossible to express an irrational number as the ratio of two integers.
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Complete question
Fill in the following statements with either "sometimes ", "always ", or "never " in order to make it a true statement.
Perfect squares _______be irrational numbers
Repeating decimals will_____be rational numbers
Irrational numbers will____ be able to be written as fractions
How do you tell if a system of equations has no solution or infinitely many?
If you solve the equation and get the same number as yourself, there are infinite solutions, and if you get the wrong equation, there is no solution.
Without graphing, how can you determine if a system of equations has one solution or an infinite number of solutions?You can see that both slopes are the same (-3). This shows that the lines are parallel without creating a graph. Therefore, the system of equations cannot be solved.
What distinguishes infinitely many solutions from zero? If the equation is wrong, the system has no solution. If the equation statement is true, there are infinitely many solutions.
A linear algebra problem is a linear system of n equations with n unknown variables. A system may have one solution, no solution, or an infinite number of solutions.
solution - all linear equations intersect or intersect at some point in space
No Solution - System is inconsistent and not all linear equations intersect or intersect.
Infinitely many solutions - some linear equations are the same line in space, some variables are unbounded.
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What is the coefficient of x² in 3x 5?
The coefficient of the variable x² in the expression 3x+5 is 0
Given that,
The expression is 3x+5
To find : The coefficient of the variable x² in the expression
Coefficient is the number that is beside the variable in the equation.
The coefficient of x in 3x+5 is 0
A number multiplied by a variable is referred to as the coefficient of a number. For instance, the x2 coefficient in the formula 6x2+99 is 6
As we can see that the term that is in multiplication with x² is 3.
Hence, the coefficient of x² in the equation 3x+5 is 0.
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Is horizontal the Y?
Yes, if the value of y = 0 then it makes the horizontal line.
The term horizontal line is defined as one that goes from left to right.
And here we also know that they are parallel to the x –axis in the coordinate plane.
And the horizontal line has a slope of zero.
While we looking into the move along the right of the line, then it does not rise or fall at all.
Here we have to the that the following factors are also included in feature:
In as the horizontal line is parallel to the x-axis and it is parallel to the horizon.
Where as the horizontal line is a sleeping line and it is also defined as can be a sleeping, standing, or a slanting line.
Where the horizontal line is perpendicular to the y-axis.
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X + 15 _> 64.5 in inequality from
Answer:
X ≥ 49.5
Step-by-step explanation:
X + 15 ≥ 64.5
Subtract 15 from both sides
X ≥ 49.5
So, the answer is X ≥ 49.5
Right triangle $ABC$ has one leg of length 6 cm, one leg of length 8 cm and a right angle at $A$. A square has one side on the hypotenuse of triangle $ABC$ and a vertex on each of the two legs of triangle $ABC$. What is the length of one side of the square, in cm
One side of the square has a length of 10 cm.
The triangle $ABC$ is a right triangle and it has one leg of length 6 cm and one leg of length 8 cm. Using the Pythagorean theorem, we can find the length of the hypotenuse:
c^2 = a^2 + b^2
c = √(a^2 + b^2)
c = √(6^2 + 8^2)
c = √(36 + 64)
c = √(100)
c = 10
So the hypotenuse of triangle $ABC$ has a length of 10 cm.
The square has one side on the hypotenuse of the triangle $ABC$ and a vertex on each of the two legs of the triangle $ABC$. Since the square is on the hypotenuse of the triangle, one side of the square has the same length as the hypotenuse of the triangle, which is 10 cm.
Therefore, one side of the square has a length of 10 cm.
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The two congruent angles of an isosceles triangle are called _____ angles.
Answer:
isosceles triangles have two congruent acute angles
Look at the graph, then select the correct answer.
Which distribution has the greatest spread?
A. Distribution 1
B. Distribution 2
C. Distribution 3
D. Distribution 4
The distribution has the greatest spread is
C. Distribution 3What is standard deviation?The term standard deviation refers to a measurement of the data's dispersion or spread from the mean.
A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed or spread out.
In the given problem the distribution that has a higher value of standard deviation is the one that has the highest spread spread
This is distribution 3 with a standard deviation of 7.2
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Makea is making smoothies. For every 4 cups of orange juice, she uses 3 tablespoons of yogurt. Which ratio of orange juice to yogurt is NOT equivalent to the ratio she wants to use in the recipe?
A-40:30
B-19:9
C-15:20
D-8:6
Answer: A ratio is a comparison of two or more values. To compare the ratios of orange juice to yogurt, we want to ensure that the proportion of orange juice to yogurt is the same in each ratio.
Option A is 40:30. To compare this ratio to the original ratio, we can convert the amounts in cups to tablespoons. 40 cups is equal to 320 tablespoons and 30 tablespoons of yogurt. The proportion of orange juice to yogurt is not the same as the original ratio since 320 is not equivalent to 3.
Option B is 19:9. To compare this ratio, we convert the amount in cups to tablespoons. 19 cups is equal to 152 tablespoons of orange juice and 9 tablespoons of yogurt. The proportion of orange juice to yogurt is not the same as the original ratio since 4 cups of orange juice is not equal to 19 cups.
Option C is 15:20. To compare this ratio, we convert the amount in cups to tablespoons. 15 cups is equal to 120 tablespoons of orange juice and 20 tablespoons of yogurt. The proportion of orange juice to yogurt is not the same as the original ratio since 4 cups of orange juice is not equal to 15 cups.
Option D is 8:6. To compare this ratio, we convert the amount in cups to tablespoons. 8 cups is equal to 64
Step-by-step explanation:
Tina's favorite shade of teal is made with 777 milliliters of blue paint for every 555 milliliters of green paint. Tyler's favorite shade of teal is made with 555 milliliters of blue paint for every 777 milliliters of green paint. How does Tina's favorite shade of teal compare to Tyler's favorite shade of teal
Comparing the volume of the paints used and analyzing the proportions, The answer is Tina's shade is more blueish and Tyler's shade is more greenish.
What do you mean by ratio?A ratio is a way to compare two or more numbers or amounts. It tells you how much bigger or smaller one number is compared to the other. It is often written as two or more numbers separated by a colon, such as "3:5" or "2:4:6". For example, if a recipe calls for 2 cups of sugar to 4 cups of flour, the ratio would be 2:4. This means for every 2 cups of sugar, there are 4 cups of flour. It's a way to express a relationship between values or quantities and it helps to understand the proportion of one value to the other values.
What do you mean by proportions?Proportion is a relationship between two or more values or quantities that compares their sizes. It's a way of saying that two or more values are equal in some way. It can be written as an equation, such as "a/b = c/d", which means that the ratio of a to b is equal to the ratio of c to d. In other words, the proportion states that two or more ratios are equal to each other. For example, if a cake recipe calls for 2 cups of sugar to 4 cups of flour, the proportion would be 2/4 = 1/2. This means that for every 2 parts of sugar, there are 4 parts of flour, which can be written as a ratio 2:4 .
Tina's ratio of blue paint to green paint = 777:555
Tyler's favorite shade has a ratio = 555:777.
The ratio for Tina's shade is greater than 1 .
while the ratio for Tyler's shade is less than 1.
So Tina's shade is more blueish and Tyler's shade is more greenish.
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What is the coefficient of y in the expression 2y 5?
The coefficient of Y is 10 in 2y 5.
Any integer or symbol that multiplies the variable of a single term or the terms of a polynomial to represent a constant value is known as a coefficient in mathematics. In some phrases, a letter might be substituted for the usual number. For example, x is the variable and a and b are the coefficients in the formula: ax2 + bx + c.
What is a coefficient?
A coefficient is a quantity or number that is coupled with a variable. Frequently, an integer is multiplied by the variable and written next to it. The variables that don't have a corresponding number are presumed to have a coefficient of 1.
10 is the Y coefficient in 2y 5.
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Why is halting problem undecidable?
Therefore , the solution of the given problem of tractable problem comes out to be the halting problem is undecidable for Turing machines.
Tractable problem: what is it?a process that completes a manageable task in a polynomial amount of time. The polynomial upper bound is used. If an issue cannot be resolved in a polynomial amount of time, it is referred to as being intractable. The bound's minimum is exponential.
Here,
Alan Turing proved in 1936 that a general algorithm running on a Turing
machine that solves the halting problem for all possible program-input
pairs necessarily cannot exist.
the halting problem is undecidable for Turing machines.
Therefore , the solution of the given problem of probability comes out to be the halting problem is undecidable for Turing machines.
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These two figures are similar. Find the length of side x
Answer:
probably 21
Step-by-step explanation:
What is the value of x in 2 5 )= 14?
The value of x in 2(5x)=14 is 1 2/5.
Define mixed fraction.A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.
How to convert mixed fraction to improper fraction?When converting a mixed fraction to an improper fraction, the denominator and the whole number are multiplied, the product is added to the numerator, and the sum is written as the numerator and denominator.
2(5x) = 14
10x = 14
x = 14/10
Simplify the fraction, by turning it into a mixed number.
x = 1 4/10
Simplify the equation by dividing it by 2, so that it is in simplest form.
x = 1 2/5
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one leg of a right triangle is 8 cm what could the other length be justify your answer
Answer:
6-L2
10-hypotenuse
Step-by-step explanation:
Pythagorean theorem
What is y 0 on a graph?
y=0 is the linear equation to denote the x - axis, as all the points on the x- axis, have their y co-ordinate =0.
What is linear equation ?
A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.
Because the equation y=0 has a slope of 0, the resulting graph must be a straight horizontal line. This is true for all equations with a slope of 0.
Hence , y=0 is the linear equation to denote the x - axis, as all the points on the x- axis, have their y co-ordinate =0.
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sutton is listing the prime factorazation for 220 what is the last factor she needs 2 square root of 5
Answer:
4.472135955
Step-by-step explanation:
A line has a slope of 2 and a y-intercept of 0. What is its equation in slope-intercept form
Answer:
y = 2x
Step-by-step explanation:
y = mx + b
m = 2
y-intercept = b = 0
y = 2x + 0
y = 2x
The equation of line R, shown below, can be
written in the form y = mx + c.
What are the values of m and c?
Give each of your answers as an integer or
as a fraction in its simplest form.
Straight line has the equation is, y = 5x - 4.
What is a straight line's mathematical equation?An endless number of points that are connected on both sides of the point make up a straight line.
The slope of a straight line, "m," is determined by:
m = y2 - y1 / x2 - x1
A linear equation has the expression y = mx + b in slope-intercept form. X and Y are the variables in the equation. The numbers m and b stand for the line's slope (m) and the value of y at x = 0.
The graph's acquired points are (0,-4) and (1,1)
The slope is ,
m = 1-(-4) / 1-0
= 5/1
= 5
The line's equation will be as follows since it crosses the y-axis at its intersection point, where C = -4.
⇒ y = mx + c
⇒ y = 5x + (-4)
⇒ y = 5x - 4
As a result, y = 5x - 4 is the equation for the straight line depicted below.
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Which expression is the factored form of 2x^2 7x 3?
The factored form of quadratic equation 2x² + 7x + 3 is 2(x + 1/2) (x + 3)
A quadratic equation can be expressed in:
- Standard form: y = ax² + bx + c
- factored form: y = a(x - x₁) (x - x₂)
Here, x₁ and x₂ are the roots of the given function.
Suppose we are given a quadratic equation:
y = ax² + bx + c
To find the factored form, use the following properties:
x₁ . x₂ = c/a
x₁ + x₂ = - b/a
In this case, the quadratic function is:
y = 2x² + 7x + 3
We have to find x₁ and x₂ such that:
x₁ . x₂ = 3/2
x₁ + x₂ = - 7/2
Hence,
x₁ = - 1/2
x₂ = - 3
Therefore the factored form is:
y = 2(x + 1/2) (x + 3)
Your question is incomplete, but most probably your question was:
Which expression is the factored form of 2x² + 7x + 3?
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