[tex]15.99 + 0.74(m)[/tex]
[tex]15.99 + 0.74(m) = 166.95[/tex]
[tex]15.99 - 15.99 + 0.74(m) = 166.95 - 15.99[/tex]
[tex]0.74m = 150.96[/tex]
[tex] \frac{0.74m}{0.74} = \frac{150.96}{0.74} [/tex]
[tex]m = 204[/tex]
He drove 204 miles.
HELP ME ASP PLEASE thank you
What are the 4 different types of bar graphs?
The four types of bar graphs as follows:
Vertical Bar Graph.
Horizontal Bar Graph.
Grouped Bar Graph.
Stacked Bar Graph.
Rectangular bars are used in the particular type of data visualisation known as a bar graph, with the length of each bar matching to the value it represents. With the aid of rectangular bars that display the data's measure, the provided data is shown vertically in a graph or chart in a vertical bar graph. These graphs are referred to as horizontal bar graphs when the offered data is shown horizontally using rectangular bars that display the data's measure. These graphs are referred to as horizontal bar graphs when the offered data is shown horizontally using rectangular bars that display the data's measure.
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What are dilation rules?
Dilation rules refer to the mathematical rules and formulas used to calculate the image of a point, shape, or figure after it has undergone a dilation transformation.
Here are some of the most common dilation rules:
Scale Factor: The scale factor is the ratio of the length of a line segment in the image to the length of the corresponding line segment in the pre-image. For example, a dilation with a scale factor of 2 will double the length of the line segment.Center of Dilation: The center of dilation is a fixed point in the plane that remains the same distance from all points on the image and the pre-image. The center of dilation is used as a reference point to determine the new coordinates of the image. Distance Formula: To find the image of a point after dilation, the distance formula can be used. The distance formula calculates the distance between two points in the plane. Ratio: The ratio of the distance between two points on the pre-image to the distance between the corresponding points on the image is equal to the scale factor.Similarity: When dilation is done with a scale factor greater than 1, the image and pre-image figures are similar. Congruence: When dilation is done with a scale factor equal to 1, the image and pre-image figures are congruent.It's important to note that, the rules mentioned above are general rules of dilation and they might vary depending on the specific dilation transformation.
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What happens when we decrease the exponent of 10 by 1?
When we decrease the exponent of 10 by 1, the number becomes one-tenth of the previous number.
For the fixed base(10), if the exponent decrease by 1, the number will becomes one-tenth of the previous number.
What are the rules of exponents?The Power Rule for Exponents is (a^m)^n = a^m*n. To increase a number with an exponent to a power, we need to multiply the exponent times the power. Negative Exponent Rule is x^-n = 1/x^n. We need to invert the base to change a negative exponent into a positive.
Exponents are used to represent repeated multiplication of a number by itself. For example, 7 * 7 * 7 can be showed as 73. Here, the exponent is 3 that stands for the number of times the number 7 is multiplied. The base here is 7 that is the actual number which is getting multiplied. So, initially exponents or powers shows the number of times a number can be multiplied. If the power is 2, it means the base number is multiplied two times with itself.
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Translate into a mathematical expression:
15 more than the sum of 5 and a number
15+(5-n)
(5+n)+15
(5-n) +15
15+5n
The statement '15 more than the sum of 5 and a number' is equivalent to the mathematical expression (5+n)+15.
Therefore the answer is (5+n)+15.
The statement "15 more than the sum of 5 and a number" is asking for an expression that represents the value that is 15 greater than the result of adding 5 and a number together. The mathematical way to express this is:
15 + (5 + n)
Where n is the number that we are adding to 5.
15 is being added to the sum of 5 and n. The parentheses around the 5 and n indicate that those two values are being added together before the 15 is added to them.
In other forms of representation
15+(5-n) or (5+n)+15 or (5-n) +15 or 15+5n does not convey the meaning you want it to convey as these forms does not represent "15 more than the sum of 5 and a number"
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Raymond owns a used pickup truck that he wants to sell. A use-vehicle guide shows that its average retail value is $17,600. He adds $1,700 for 4-wheel drive, $475 for an entertainment system, $800 for a special trim package, and $225 for power locks. He also adds $125 for a sliding rear window, $325 for a towing package, $250 for power windows, and $3,125 for a diesel engine. He deducts $675 for having a manual transmission. He adds $450 for having less than the expected mileage. What is the average retail price of Raymond's vehicle?
The average retail price of Raymond's vehicle is $24,400.
What is Average Retail Price?
Average price is a measure of a range of prices. It is calculated by taking the sum of the values and dividing it by the number of prices being examined. The average price reduces the range into a single value, which can then be compared to any other point to determine if the value is higher or lower than what would be expected.
average retail value = $17,600
All the additions to the average retail value are;
$1,700 for 4-wheel drive
$475 for an entertainment system
$800 for a special trim package
$225 for power locks
$125 for a sliding rear window
$325 for a towing package
$250 for power windows
$3,125 for a diesel engine
$450 for less than expected mileage
Deductions
$675 for having a manual transmission
Average retail price = Average retail value + additions - deductions
Average retail price = $17,600 + ($1,700+$475+$800+$225+$125+$325+$250+$3,125+$450) - $675
Average retail price = $17,600 + $7,475 - $675
Average retail price = $24,400
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What is the relationship used and solve for the variable
Answer:
y = 43, x = 23
Step-by-step explanation:
[tex]180 - 63 = 3y - 12\\117 = 3y - 12\\129 = 3y\\y = 43[/tex]
Supplementary angles add up to 180 and alternative angles (Z-pattern) are the same
[tex]180 - 63 = 5x + 2\\117 = 5x + 2\\115 = 5x\\x = 23[/tex]
What is the exponential of 2?
Answer:
2^2 would be 4
Step-by-step explanation:
y
.x
Slope(m):
2
y-intercept(b):
yom
wall Equation:
A.
Y
When the slope is given as 2, the result of the slope intercept form is y = 2x + c where m stands for the slope and c for the y-intercept .
what is slope intercept ?The intersection point is the location on the y-axis where the slope of the line crosses. where the y-axis crosses that point on a line or curve. By using y = mx+c as the equation for the straight line, where m stands for the slope and c for the y-intercept, this is proven. The slope (m) and y-intercept (b) of the line are denoted in the intercept form of the equation. For equations of the intercept form (y=mx+b), the slope and y-intercept, respectively, are m and b. Furthermore, some equations may be rewritten to appear as slope intercepts. For instance, the slope and y-intercept change to 1 and 0 respectively when y=x is represented as y=1x+0.
given
slope ( m ) = 2
= y = 2x + c
When the slope is given as 2, the result of the slope intercept form is y = 2x + c.
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What is an example of an acute triangle?
An acute triangle is a triangle with all three angles less than 90 degrees.
An example of an acute triangle is a triangle with angles measuring 30 degrees, 55 degrees, and 95 degrees. Using the Law of Cosines, we can calculate the side lengths of this triangle. The side opposite the 30 degree angle is 4.8, the side opposite the 55 degree angle is 5.2, and the side opposite the 95 degree angle is 8. The Law of Cosines states that the following equation must be true: a2 = b2 + c2 - 2bc Cos A. In this case, a2 = 82, b2 = 52, and c2 = 42. We can then solve for the sides of the triangle by plugging in the values for a2, b2, and c2 into the equation. The result is that the side lengths of this triangle are 4.8, 5.2, and 8.
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A computer coast $800 it loses 1/5 of its value every year after it’s purchased complete the table after how many years will the computer be worth less than $100 _____ years write an equation representing the value v of the computer t years after it was purchased
On solving the provided question, we can say that equation for the question will be (n - 1) x 3/4
What is equation?A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.
equation for the question will be
(n - 1) x 3/4
Value of the computer
at time 0 = $800
at time 1 = $800 x (3/4) x 1 = $600
at time 2 = $600 x 3/4 = $450
Value of the computer at time 3 = $450 x 3/4 = $337.50
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what is the two digit 2 in the number 45.52 as a fraction
Answer:
Step-by-step explanation:
To write 45.52 as a fraction you have to write 45.52 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
45.52 = 45.52/1 = 455.2/10 = 4552/100
And finally we have:
45.52 as a fraction equals 4552/100
If AD = 4 cm and AB = 6 cm, what is the perimeter of WXYZ?
Answer:
Step-by-step explanation:
no way to answer
4.6.3 Test (CST): Undoing Functions and Moving Them Around
What is g(x)?
A. g(x)=-2*
B. g(x) = -x2²
C. g(x) = -x
DE
PREVIOUS
The polynomial function in given graph for g(x) is
g(x)= -x^2.
What are polynomial functions?
Polynomial is made up of two words, poly and nomial. "Poly" means many, and "nomial" means the term, and hence when they are combined, we can say that polynomials are "algebraic expressions with many terms"
Polynomial functions are expressions that may contain variables of varying degrees, coefficients, positive exponents, and constants. for e.g.
f(x) = 3x^2 - 5.
Types of Polynomial Function:
Constant Polynomial Function - A constant polynomial function is a function whose value does not change. It remains the same and also it does not include any variables.
Zero Polynomial Function - Polynomial functions with a degree of 0 are known as zero Polynomial functions.
Linear Polynomial Function - Polynomial functions with a degree of 1 are known as Linear Polynomial functions.
Quadratic Polynomial Function - Polynomial functions with a degree of 2 are known as Quadratic Polynomial functions.
Cubic Polynomial Function - Polynomial functions with a degree of 3 are known as Cubic Polynomial functions.
Quartic Polynomial Function - Polynomial functions with a degree of 4 are known as Quartic Polynomial functions.
Now,
In given graph, We fill find g(x) by putting value of x and seeing the corresponding result of y.
As for x y is
1 -1
2 -4
3 -9
-1 -1
-2 -4
Therefore, from given values we can conclude that polynomial function for g(x)= -x^2.
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ertwertewrtwetteryerty
Can you please solve it
The average rate of change of the given function is 20.
What is the average rate of change of the function?It quantifies how much the function changed per unit on average throughout that time interval. The slope of the straight line connecting the interval's ends on the function's graph is used to calculate it.
The average rate of change of a function f(x) over the interval [a,b] is given by the formula:
(f(b) - f(a)) / (b - a)
So, for the function f(x) = x² + 2 as x changes from 5 to 15, we can plug in the values to find the average rate of change:
(f(15) - f(5)) / (15 - 5) = (15² + 2 - 5² - 2) / (15 - 5) = (225 - 25) / 10 = 200 / 10 = 20
So the average rate of change of the function is 20.
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What is common segment theorem?
According to the Common Segments Theorem, if a segment is merged with two congruent segments, the subsequent segments will also be congruent
what is segment ?a piece removed from a geometric form by one or more points, lines, or planes. Examples include the region of a circle enclosed by its chord and arc, or the portion of a sphere enclosed by two parallel planes. Segment is a service that makes it easier to acquire and use data from users of your digital domains because it is a customer data platform (CDP) (websites, apps, etc). Your first-party customer data may be gathered, transformed, sent, and archived using Segment. between two points on a line or curve; a segment. a segment of a solid figure or plane that is removed by an intersecting line.
given
According to the Common Segments Theorem, if a segment is merged with two congruent segments, the subsequent segments will also be congruent.
The overlapping segments that result are congruent if two collinear segments that are next to a common segment are also congruent. Intermingling Angle Theorem.
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How many solutions does this system of equations have? Explain how you know.
(y + 2/3x =4
2x = 12-3y
On solving the provided question, we can say that the - by solving algebraic equation x= 0 and y= 4.
What do basic algebraic equations entail?A mathematical statement in which two expressions are rendered equal to one another is known as an algebraic equation. A variable, coefficients, and constants make up an algebraic equation in most cases. Check out algebraic expressions as well. Equations, or the equal sign, simply indicate equality. With mathematics, and algebraic expression is one that is constructed using variables, constant algebraic numbers, and algebraic operations. An algebraic expression is, for instance, 3x2 2xy + c.
y+ (2/3)x = 4
12—3y
3y +6x 12
2x+3y=12
by subtracting2frorn1.
4x=o
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I NEED URGENT HELP! 15 POINTS!
Jane had 27 stickers two weeks ago. Then she bought the same numbers of stickers each day for two weeks. Now she has 237 stickers. How many stickers did Jane buy each day?
If The Robotic team ordered 4 pizza and only 5 member how up , how much pizza will each member receive if hared equally
Each member would receive 0.8 pizza.we divided the number of pizzas (400) by the number of members (5) to get 8.
1. Divide the number of pizzas (4) by the number of members (5): 4 ÷ 5 = 0.8
2. Each member would receive 0.8 pizza.
Each member would receive 8 pizza.
1. Multiply the number of pizzas (4) by the number of members (100): 4 x 100 = 400
2. Divide the number of pizzas (400) by the number of members (5): 400 ÷ 5 = 8
3. Each member would receive 8 pizza.
If The Robotic team ordered 4 pizza and only 100 members showed up, each member would receive 8 pizza if the pizzas are shared equally. To calculate this, we first multiplied the number of pizzas (4) by the number of members (100) to get 400. Then, we divided the number of pizzas (400) by the number of members (5) to get 8. Therefore, each member would receive 8 pizza.
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PLS HELP LINE OF BEST FIT
From the linear function, at 50 degrees, the seller will sell 58 hot dogs, at 114 degrees, she will sell 35 hot dogs and from the line of best fit she will sell 3 hot dogs at every 10 degrees rise in temperature
What is Linear FunctionWhen plotted, a linear function is a sort of mathematical function that visually displays a straight line. A formula of the form y = mx + c, where m is the line's slope and c is its y-intercept, is used to describe it.
The linear function given is;
y = (3/10)x + 8
Where;
x = Temperature y = number of hot dogs solda) At 50 degrees, the number of hot dogs
Substituting the values into linear function;
y = 3/10(50) + 8
y = 150 / 3 + 8
y = 50 + 8
y = 58
The seller will sell 58 hot dogs at 50 degree
b) The temperature at which they will sell 35 hot dogs is;
y = (3/10)x + 8
35 = 3/10(x) + 8
35 * 10 = 3x + 8
350 = 3x + 8
3x = 350 - 8
3x = 342
x = 342 / 3
x = 114
The temperature at which they'll sell 35 hot dogs is 114 degrees
c) Based on the line of best-fit, for every 10 degree rise in temperature, she will sell 3 hot dogs.
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There are 3 pieces of fabric. Each piece of fabric is the same length. The total length of the pieces of fabric is 2 1/4 yards. How long is each piece of fabric?
The length of each piece of fabric is, 3/4 yards.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
There are 3 pieces of fabric.
And, The total length of the pieces of fabric is 2 1/4 yards.
Here, Each piece of fabric is the same length.
Hence, The length of each piece of fabric is,
⇒ 2 1/4 ÷ 3
⇒ 9/4 × 1/3
⇒ 3/4 yards
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Convert 100 in. to yards, feet, and inches.
Answer: 2.78 Yards, 8.33 ft,
Step-by-step explanation:
Answer:
100 in. = 100 inches, 8 feet 4 inches, or 2.77777777778 yards.
Step-by-step explanation:
t^2-4k+1=5
Solve by completing the square.
The solution of the quadratic equation k² - 4k + 1 = 5 will be 2.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The equation is given below.
k² - 4k + 1 = 5
Simplify the equation, then we have
k² - 4k + 1 = 5
k² - 4k - 4 = 0
Factorize the equation, then we have
k² - 4k - 4 = 0
k² - 2k - 2k - 4 = 0
k(k - 2) - 2(k - 2) = 0
(k - 2)(k - 2) = 0
k = 2, 2
The solution of the quadratic equation k² - 4k + 1 = 5 will be 2.
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The correct equation is given as,k² - 4k + 1 = 5
Write an equation of the line that passes through the given point and is parallel to the given line
The equation of the line that is parallel to 3y - x = - 12 and passes through (18, 2) will be 3y - x + 12 = 0.
What is the equation of a parallel line?Let the equation of the line be ax + by + c = 0. Then the equation of the parallel line that is parallel to the line ax + by + c = 0 is given as ax + by + d = 0.
The equation is given below.
3y - x = - 12
The equation of the line that is parallel to the given line is given as,
3y - x + d = 0
The equation that passes through (18, 2) will be given as,
3(2) - 18 + d = 0
6 - 18 + d = 0
d = 18 - 6
d = 12
Then the equation of the parallel line will be 3y - x + 12 = 0.
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Represent using Rational Algebraic expressions:
Rashid travels 240km from Abu Dhabi to Sharjah driving 120km/h for 2 hours. His parents strongly suggest he slow down by v km/h, even though it will take him t hours longer to make the trip, or he will lose his driving privilege. Which relation shows time, t, it will now take Rashid to make the trip relative to the speed, v with which he slows down?
The expression that shows time, t, it will now take Rashid to make the trip relative to the speed, v with which he slows down is t = (240 - (v/120) * 240) / (120 - v)
How to illustrate the speed?Speed is the rate at which an object's location changes in a particular direction. The distance traveled on relation changes to a particular direction. The distance in relation to the time it took to travel the distance is the speed. It's a scalar quantity.
The relation between time, t, and the speed at which Rashid slows down, v, is given by the formula:
t = (240 - (v/120) * 240) / (120 - v)
t = time
v= speed.
This formula can be derived by using the distance formula (distance = speed x time) and the fact that the distance traveled is constant (240 km).
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Another one of Carla’s friends suggests that she make the sample larger and survey 100 students. Which sample size is more likely to represent the population? Explain.
In general, a larger sample size is more likely to represent the population than a smaller sample size. This is because a larger sample size increases the chances that the sample will be representative of the population.
what is sample size?When the sample size is that larger, there is a lower chance of getting a skewed or biased sample. A larger sample size also tends to have less variability in the sample statistics, making it more likely to provide accurate estimates of population parameters.
However, it is important to note that increasing the sample size does not guarantee that the sample is representative of the population. The sampling method used, and the way the sample is selected, can also have an impact on the representativeness of the sample.
Hence, surveying 100 students is more likely to represent the population than surveying a smaller sample size like 10 students, but it does not guarantee a perfect representation of the population.
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101
Which expression can be rewritten as (x+7)(x - 1)?
(x+3)² - 10(x+ 3) - 2(x + 3) + 20
A.
B.
C.
D.
(x - 1)(x² - 6x-7)
(x + 1)
(x+3)²-16
(x+7)(x² + 4x + 3)
(x+3)
The expression which can be rewritten as (x+7)(x - 1) as required in the task content is; Choice C; (x+3)²-16.
Identifying the equivalent expression.It follows from the task content that the expression which can be rewritten as ( x + 7 ) ( x - 1 ) be determined.
By polynomial expansion, the expression (x+7)(x - 1) can be written as;
x² + 7x - x - 7
= x² + 6x - 7.
By observation, it follows that the expression which seems to have a degree of 2 is; (x + 3)² - 16.
On this note, by checking; we have;
x² + 6x + 9 - 16
= x² + 6x - 7
Ultimately, the expression which could be rewritten as (x+7)(x - 1) and is to be identified is; Choice C; (x + 3)² - 16.
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two sides of a triangle are 11 centimeters and 14 centimeters . What are all possible values for the length x of the third side?
The range of possible values of the third side of the triangle is 3 < x < 25. That is, the possible whole number values are 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, and 24.
Calculating the possible length of a side of a triangleFrom the given information, we are to determine all possible values for the length x of the third side of the given triangle
From the given information,
One of the sides of the triangle is 11 centimeters in length
and
The length of the other side is 14 centimeters
From one of the properties of a triangle,
The third of a triangle is greater than the positive difference of the other two sides and the third side is lesser than the sum of the other two sides.
if the third side of the triangle is x
Then,
x < 14 + 11
x < 25
and
x > 14 - 11
x > 3
Thus,
x > 3 and x < 25
3 < x and x < 25
3 < x < 25
Thus, the range of possible values is 3 < x < 25.
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You buy 1 bag of cat litter and 4 bags of
treats online for a total of $21. A few weeks later, you buy 2 bags of the same
cat litter and 8 bags of the same treats for a total of $42. Find the price of
each bag of litter and each bag of treats.