Given:
There are given that the number of people who said yes is 191 and who said no is 485.
Explanation:
According to the given question:
The total number of people is:
[tex]191+485=676[/tex]That means the total outcome is 676.
Now,
The probability that the person is chosen own dog is:
[tex]P=\frac{The\text{ number of people who have their own dog}}{\text{Total number of outcomes}}[/tex]So,
[tex]P=\frac{191}{\text{6}76}[/tex]Final answer:
Hence, the correct option is C.
Answer:
191/676.
Step-by-step explanation:
The total number of people asked is 191 + 485
= 676.
So. the required probability
= number of people owning a dog/ total number of people
= 191/676.
Solve for x: -3x-6= -7x+34
Answer:
x = 10
Step-by-step explanation:
-3x - 6 = -7x + 34
+7x
4x - 6 = 34
+6
4x = 40
/4
x = 10
Answer:
x = 10
Step-by-step explanation:
-3x - 6 = -7x + 34 Add 7x to both sides
4x - 6 = 34 Add 6 to both sides
4x = 40 Divide both sides by 4
x = 10
The school play sells children's
tickets for $3 each and adult
tickets for $5 each. They sold $340
worth of tickets The total number
of tickets sold was 80 How many
aduit tickets were sold?
Taking into account the definition of a system of linear equations, the number of adult tickets sold was 50.
System of linear equationsA system of linear equations is a set of linear equations in which two or more variables are related.
In the systems of equations, the values of the unknowns must be found, with which when replacing, they must give the solution proposed in the equations.
Amount of adults tickets soldIn this case, a system of linear equations must be proposed taking into account that:
"a" is the amount of adults tickets sold."c" is the amount of childrens tickets sold.You know:
The school play sells children's tickets for $3 each and adult tickets for $5 each. They sold $340 worth of tickets.The total number of tickets sold was 80.The system of equations to be solved is
3c + 5a= 340
c + a= 80
From the several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.
In this case, isolating the variable "c" from the second equation:
c= 80- a
Replacing this expression in the first equation:
3×(80- a) + 5a= 340
Solving:
3×80- 3a + 5a= 340
3×80- 3a + 5a= 340
240- 3a + 5a= 340
- 3a + 5a= 340- 240
2a= 100
a=100÷ 2
a= 50
Finally, 50 adult tickets were sold.
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Please answer fast
The boxplot displays the arm spans for 44 students.
Which of the following is not a true statement?
There are no outliers in this distribution.
The shape of the boxplot is fairly symmetric.
The range of the distribution is around 60 cm.
The center of the distribution is around 180 cm.
The statements The range of the distribution is around 60 cm and
the center of the distribution is around 180 cm are true.
What is statistics?Statistics is the study and manipulation of data, including ways to gather, review, analyze, and draw conclusions from data.
In the given statements
There are no outliers in this distribution.
The shape of the boxplot is fairly symmetric.
The range of the distribution is around 60 cm.
The center of the distribution is around 180 cm.
The statement "The range of the distribution is around 60 cm" is true.
The range is the spread of your data from the lowest to the highest value in the distribution.
In the given graph
Range=200-140
=60
So it is true.
The center of the distribution is around 180 cm is also true.
Hence the statements The range of the distribution is around 60 cm and
the center of the distribution is around 180 cm are true.
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PLSS HELP I DO NOT UNDERSTAND THIS PLSSS bc
Average rate of change is calculated using the slope of the line linking the interval's ends on the graph of the function. The average rate of change, in simplest form, is -1/6.
What is meant by average rate of change?It is the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function.
The formula for calculating the gradient of a function exists expressed as:
[tex]$m=\frac{d y}{d x}=\frac{y_2-y_1}{x_2-x_1}[/tex]
Using the coordinate points from the table (6, 53) and (24, 50).
Substitute the coordinate into the expression:
[tex]$m=\frac{50-53}{24-6} \\[/tex]
[tex]$&m=\frac{-1}{6} \\[/tex]
Therefore, the average rate of change, in simplest form is -1/6.
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darnel is the executive chef at a mediterranean restaurant famous for its spicy tomato sauce. every week, he takes inventory and then places an order for what he needs. since his spicy tomato sauce is so popular, darnel needs to order more tomatoes every week. there is a proportional relationship between the amount of tomatoes he orders (in pounds), x, and their cost (in dollars), y. x (pounds) y (dollars) 22 $88 23 $92 24 $96 25 $100 what is the constant of proportionality? write your answer as a whole number or decimal. dollars per pound
The constant of proportionality between the amount of tomatoes he orders (in pounds), and their cost (in dollars) is: 4 dollars per pound
To solve this problem we must perform the following algebraic operations with the given information
Information about the problem:
pounds , dollars
22, $8823, $9224, $9625, $100Calculating the proportion of the amount of tomatoes he orders and their cost we get:
Proportion dollars per pound = Dollars / pound
Proportion dollars per pound = $88/ 22 pounds = 4 $/pound
Proportion dollars per pound = $92/ 23 pounds = 4 $/pound
Proportion dollars per pound = $96/ 24 pounds = 4 $/pound
Proportion dollars per pound = $100/ 25pounds = 4 $/pound
As we could get the constant of proportionality is 4 $/pound
What are algebraic operations?They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
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how to find the inverse of f(x) = 3x - 7
To get the inverse of this function you need two steps. First, we leave the variable [tex]x[/tex] alone in the function. Finally, write [tex]f^{-1}(x)[/tex] where you see the letter [tex]x[/tex] and [tex]x[/tex] where you see the letter [tex]y[/tex].
First step:Leave the variable [tex]x[/tex] alone.
[tex]y=3x-7[/tex][tex]y+7=3x[/tex][tex]\frac{y+7}{3}=x[/tex]Last step:Make lettering according to the rule above.
[tex]\frac{x+7}{3} =f^{-1}(x)[/tex]yeaa pls help this is past due
Answer: When you graph part a, it has a negative slope.
Step-by-step explanation:
Is 4 a factor of 64? How do you know?
Answer: yes
Step-by-step explanation: 64 is a factor of 4 because you can multiply it by 16 to get 64. Remember if you divide and get a whole number it is a factor .
PLEASE HELP RIGHT NOW, THIS IS SUPER URGENT
The graph shows the proportional relationship between the number of gems collected and the number of levels that have been completed in a video game.
Graph with x axis labeled game levels and y axis labeled gems collected. A line begins at 0 comma 0 and goes through points 6 comma 450 and 8 comma 600.
Determine the constant of proportionality for the relationship.
p equals 2 over 150
p = 0.0133
p = 75
p = 150
The constant of proportionality for the graph will be P=75. The correct option is C.
What is a slope?Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.
The proportionality of the constant determines the linear relation between two variables. as one increases the another also increases with the same factor.
To calculate the constant of proportionality for the given graph finds the slope of the graph with the points.
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 600 - 450 ) / ( 8 - 6 )
Slope = ( 150 / 2
Slope= 75
Therefore, the constant of proportionality for the graph will be P=75. The correct option is C.
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PLSS HELP I DO NOT UNDERSTAND THIS PLSSS
The rate of change is 18 units and 24 ≤ x ≤ 96 is 24 < 42, 60, 78 < 96.
What is the rate of change?The rate at which a variable alters over a predetermined amount of time. It is frequently used when discussing momentum and is typically expressed as a ratio of one variable's change to another's corresponding change. This ratio is graphically represented by a line's slope.So, the rate of change in column 'x':
24 - 6 = 18The rate of change per unit is 18.
Now, 24 ≤ x ≤ 96.
Between 24 and 96, there are three values given in the column which are:
426078So, x can be 42, 60, and 78.
Therefore, the rate of change is 18 units and 24 ≤ x ≤ 96 is 24 < 42, 60, 78 < 96.
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sketch the graph or the inverse of the function pictured
Step 1:
Draw the table for the input x and output y.
Step 2:
From the table, we can see that the function is an exponential function.
[tex]\begin{gathered} y=x^2 \\ \text{for x = 0, y = 0} \\ \text{for x = 1, y = 1} \\ \text{for x = 2, y = 4} \\ \text{for x = 3, y = 9} \\ \text{Hence, y = x}^2 \end{gathered}[/tex]Step 2:
Find the inverse of the function.
[tex]\begin{gathered} y=x^2 \\ \text{The inverse of } \\ y=x^2 \\ is \\ y\text{ = }\pm\sqrt[]{x} \end{gathered}[/tex]Step 3:
The two graphs below, show the graph of the inverse for both negative and positive square roots of x.
[tex]\text{The blue graph above shows the graph for y = +}\sqrt[]{x}[/tex][tex]\text{The blue graph above shows the graph of y = -}\sqrt[]{x}[/tex]Final answer
The blue graph is the inverse of the red graph.
Rewrite without parentheses.
(4x²z² − 6x³)(-8xz¹)
-
Simplify your answer as much as possible
Answer:
Step-by-step explanation:-32x³z³+48x∧4z
Write the equation in standard form for the hyperbola with vertices (-2,0) and (2,0) and a conjugate axis of length 14
Solution
- The equation of a hyperbola is given s:
[tex]\begin{gathered} \frac{(x-h)^2}{a}-\frac{(y-k)^2}{b}=1 \\ \\ where, \\ coordinates\text{ of the vertices}=(h\pm a,k) \\ Length\text{ of conjugate axis}=2b \end{gathered}[/tex]- Thus, we can find that:
[tex]\begin{gathered} (\pm2,0)=(h\pm a,k) \\ \\ k=0 \\ \therefore h+a=2 \\ h-a=-2 \\ \text{ Subtract both equations, we have:} \\ 2a=4 \\ a=\frac{4}{2}=2 \\ \\ h+a=2 \\ h+2=2 \\ h=2-2=0 \\ \\ \text{ Thus, we have that the center of the hyperbola is: }(h,k)=(0,0) \\ \\ 2b=14 \\ \text{ Divide both sides by 2} \\ b=\frac{14}{2}=7 \end{gathered}[/tex]Final Answer
The equation of the parabola is:
[tex]\frac{x^2}{2^2}-\frac{y^2}{7^2}=1[/tex]in the long-run we can expect the population mean or proportion/percentage to occur. explain what is mean by the phrase in the long run? hint: imagine if we repeatedly took samples from the population. what would the average of the sample means be equal to?
The Central Limit Theorem states that over a large number of samples, the sampling average of the sample means would be closer to the population mean.
What does the Central Limit Theorem state?The Central Limit Theorem states that for a random variable X, with mean given by [tex]\mu[/tex] and standard deviation given by [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
This means that over a large number of trials, i.e., of samples from the population, the mean of the sample means will be close to the population mean, with a small standard error, as the standard error is inversely proportional to the square root of the sample size.
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Give an example of a percent problem involving the simple interest formula. Then solve your problem.
The example of the simple interest problem is: What will be the simple interest on $2500 invested at an interest rate of 6% for 2 years?
What is simple interest?
Calculating the amount of interest that will be owed on a sum of money at a certain rate and for a specific period of time is possible using simple interest. Contrary to compound interest, where we add the interest of one year's principal to the next year's principal to compute interest, the principal amount under simple interest remains constant.
Solution for the above problem is:
The formula to calculate simple interest is:
[tex]S.I. = P \times I \times T[/tex]
Here, S.I. is simple interest, P = principal amount, I = interest rate, T = time
Given in the question:
P = $2500
I = 6% = 0.06 (in decimals)
T = 2
Putting the value in the question:
S.I. = 2500(0.06)(2)
S.I. = 300
Therefore, the simple interest is $300.
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The first three terms of an arithmetic sequence are as follows 33,25,17 what’s the next two terms of this sequence
The next two terms of the given given sequence are 9, 1 if the first three terms of arithmetic sequence are 33, 25, 17.
An arithmetic sequence has a constant difference (d) and is defined by
a(n) = a(1) + (n-1)d ----------- (1)
Here a(1) = 33, a(2) = 25, a(3) = 17
d = a(2) - a(1)
d = 25 - 33 = -8
Substitute the values in (1)
a(n) = 33 + (n-1)(-8)
a(n) = 33 - 8n + 8
a(n) = -8n + 41 ------------- (2)
We have to find a(4) and a(5)
Substitute n = 4 in (2), we get
a(4) = -8(4) + 41 = -32 + 41 = 9
Substitute n = 5 in (2), we get
a(5) = -8(5) + 41 = -40 + 41 = 1
Hence the next two terms are 9, 1.
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what is (9x10^4) (6x10^-7)
The simplified form of the expression ( 9 × 10⁴ ) × ( 6 × 10⁻⁷ ) in scientific notation form is 5.4 × 10⁻²
How to multiply numbers in scientific form?The scientific notation form is simply a method of presenting larger or smaller numbers in a more simple way.
Given the data in the question;
( 9 × 10⁴ ) × ( 6 × 10⁻⁷ )
First, multiply 9 and 6
( 9 × 10⁴ ) × ( 6 × 10⁻⁷ )
9 × 6 ( 10⁴ × 10⁻⁷ )
54( 10⁴ × 10⁻⁷ )
Next, multiply 10⁴ × 10⁻⁷ by adding the exponents.
Using power rule mᵃ × mᵇ = mᵃ ⁺ ᵇ
54( 10⁴ × 10⁻⁷ )
54( 10⁴ ⁺ ⁻⁷ )
54( 10⁴ ⁻⁷ )
Subtract 7 from 4
54 × 10⁻³
Move the decimal point in 54 to the left by place and increase the power of 10⁻³ by 1
5.4 × 10⁻³ ⁺ ¹
5.4 × 10⁻²
Therefore, the simplified form is 5.4 × 10⁻².
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A segment is m units long. Find the distance between the midpoints of the first and last parts if the segment is divided into 5 equal parts.
The midpoints of the first and last parts are 4/5m units apart
How to determine the distance between the midpoints?The length of the line segment is given as
Length = m units
From the question, the number of partitions is given as
Partition = 5
So, the length of each partition is
Each partition = Length/Partition
This gives
Each partition = m/5
The midpoint of a partition is
Partition midpoint = m/5 x 1/2
Evaluate
Partition midpoint = m/10
The distance between the midpoints of the first and last segments is then calculated as
Distance = Length - 2 x Partition midpoint
So, we have
Distance = m - 2 x m/10
Evaluate
Distance = m - m/5
This gives
Distance = 4/5m
Hence, the distance is 4/5m units
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Find y please help me !
Answer:
y = 5
Step-by-step explanation:
since the triangles are congruent then corresponding sides are congruent, so
AB = CD , that is
7y = 3y + 20 ( subtract 3y from both sides )
4y = 20 ( divide both sides by 4 )
y = 5
If Susie's age is 8 less than 3 times her brother's age, and Susie is 13. How old is her brother?
Answer:
correct me if im wrong but my answer is x=7, or in other words, 7.
Step-by-step explanation:
Answer:
7 years old
Step-by-step explanation:
You would start by going backward. If 13 is 8 less, then you would first add 8. You would have 21. Now all you have to do is divide by three. So your answer would be 7. If you would want to check you could plug it back in. 7 multiplied by 3 is 21. 21 - 8=13
The Answer, 7 years old
A pack of paper costs $1.75, including tax. Mr. Valentino wants to purchase packs of paper for his class and has a $25 budget. Write and solve an inequality to solve for the number of packs of paper Mr. Valentino can purchase, and describe the graph of the solution.
The inequality according to the the cost of pack of paper can be written as x ≤ 14.28 and Mr. Valentino can purchase a maximum of 14 packs of paper.
What is inequality?
A connection that compares two numbers or other mathematical expressions inequitably is known as an inequality in mathematics. The majority of the time, size comparisons between two numbers on the number line are made. The two most common notations for representing various forms of inequalities are as follows:
The symbol a < b indicates that a is smaller than b.
The symbol a > b indicates that a is bigger than b.
Let's assume he can buy x pack of paper.
Cost of x pack of paper will be equal to the x times cost of 1 pack of paper
i.e. Total cost = 1.75x
Now, Mr. Valentino has $25
Therefore,
1.75x ≤ 25
Inequality is ⇒ x ≤ 14.28
It tells us that Mr. Valentino can purchase only 14 packs of paper.
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Write a linear equation to represent the given problem and then solve the problem.
The perimeter of a college basketball court is 96 meters and the length is 14 meters more than the width. What are the dimensions?
Perimeter = 2 x Length + 2 x Width
Answer:
Step-by-step explanation:
Let L be the length and W the width
Perimeter of a rectangle is P = 2L + 2W
We are told that L = W + 14 (m) [the length is 14 meters more than the width]
Area of a rectangle is A = L*W
We learn that A = 96 m^2
L*W = 96
Since L = W + 14, we can substitute:
L*W = 96
(W + 14)*W = 96 m^2
W^2 + 14W = 96
W^2 + 14W - 96 = 0
The solution to W in the above equation is 5.04 m
This means L = 5.04 m + 14 m
L = 19.04 meters
Perimeter = 2W + 2L
Perimeter = 2(5.04) + 2(19.04) = 96 m^2
NOBODY IS ANSWERING!! I WILL GIVE BRAINLIEST!! PLS HELP!!
if the scale in the drawing is 1/4inch=3miles, what is the distance, in miles between Hawthorne an Doylestown?(help)
We will investigate how to use ratios to determine the actual distance between cities as per defined scale.
We are given a scale conversion ( ratio ) at which distances are scaled down:
[tex]\begin{gathered} \text{Scale : Actual} \\ \frac{3}{4}\text{ in : }3\text{ miles} \end{gathered}[/tex]We will use the given scale ratio to determine the actual distance between two citites. The scale distance between Hawthorne and Doyelstown can be read.
[tex]\text{Scale distance = 1.75 in}[/tex]Now utilize the scale conversion ratio to determine the actual distance:
[tex]\begin{gathered} \text{Scale : Actual } \\ \frac{3}{4}in\text{ : 3 miles} \\ \\ 1.75\text{ in: x} \\ ======= \\ \\ \frac{3}{4}\cdot x\text{ = 3}\cdot1.75 \\ \\ x\text{ = }\frac{3\cdot1.75\cdot4}{3} \\ \\ x\text{ = 7 miles} \end{gathered}[/tex]Therefore, the distance between Hawthorne and Doylestown is:
[tex]7\text{ miles}[/tex]
Courtney used 1650 inches of ribbon to make 300 hair bows all the same size. how many inches of ribbon does she need to make 1 bow?
Answer:
5.5 inches
Step-by-step explanation: if you divide it, u will get 5.5 inches
Berti is the Shape Factory's top employee. She has received awards every month for having the top sales
figures so far for the year. If she stays on top, she will receive a $5000 bonus for excellence. She currently has
sold 16, 250 shapes and continues to sell 340 per month.
EMPL
Since there are eight months left in the sales year, Sarita is working hard to catch up. While she has only sold
8,830 shapes, she is working overtime and on weekends so that she can sell 1, 082 per month. Will Sarita
catch up with Berti before the end of the sales year? If so, when?
No, Sarita will not be able to catch up with Berti before the end of the sales year.
Berti currently has sold 16, 250 shapes
She continues to sell 340 per month.
In eight months she will be able to sell
16250 + 8 x 340
= 16250 + 2720
= 18970
Sharita has only sold 8,830 shapes
Working overtime and on weekends so that she can sell 1, 082 per month
In eight months she will be able to sell
8830 + 8 x 1082
8830 + 8656
17486
No, Sarita will not be able to catch up with Berti before the end of the sales year.
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all you need is in the photo PLEASE DON'T DO STEP BY STEP BECAUSE IS SO CONFUSING PUT ONLY THE ANSWER
A) The ball in the ground is represented by h(t)=0, that is, the height is equal to 0, the reference level.
Then, we can find for which values of t we have h(t).
We equal h(t) to 0 and calculate t as:
[tex]\begin{gathered} h(t)=-16t^2+64t=0 \\ 64t-16t^2=0 \\ 16t(\frac{64}{16}-t)=0 \\ t_1=0\text{ (first solution)} \\ t_2=\frac{64}{16}=4\text{ (second solution)} \end{gathered}[/tex]The ball is in the ground at time t=0 (an instant before it is kicked) and then again at time t=4, that is the value we are looking for: the ball landed again in the ground 4 seconds after kicked.
B) The maximum height can be find in two ways:
- By finding the t-value of the vertex, that in this case will be correspond to the maximum height as this is a concave down parabola with only one extreme point.
- Deriving the function and equaling to 0 and finding t.
If we apply the first method, we have:
[tex]\begin{gathered} h(t)=-16t^2+64x=-16(x^2-4x) \\ -16(x^2-4x) \\ -16(x^2-4x+4-4) \\ -16((x-2)^2-4) \\ -16(x-2)^2+64\longrightarrow\text{Vertex:}(2,64) \end{gathered}[/tex]As the vertex is at time t=2 seconds, the maximum height happens at t=2.
Answer: A) t = 4 seconds B) t = 2 seconds
NOTE for Part B:
If we derive the expression, we get:
[tex]undefined[/tex]Silvia has 20 tomato plants and 30 bean plants. She wants to put the plants in rows so that each row has the same number of tomato plants and the same number of bean plants. What is the greatest number of rows Silvia can plant?
The greatest number of rows Silvia can plant as per given number of plants and condition is equal to 10.
As given in the question,
Silvia is going to plant 20 tomato plants and 30 bean plants.
Total tomato plants = 20
Total bean plants = 30
If Silvia would like to plant, the plants in rows where each row has the same number of tomato plants and each row has the same number of bean plants.
Then, the greatest number of rows Silvia can plant is equal to greatest common factor of 20 and 30.
20 = 2×2×5
30 = 2×3×5
Greatest common factor of 20 and 30 = 2×5 = 10
Therefore, the greatest number of rows Silvia can plant as per given number of plants and condition is equal to 10.
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30 POINTS!!! PLEASE ANSWER ASAP!!!
Caroline is going to drive from her house to City A without stopping. Caroline plans to drive at a speed of 50 miles per hour and her house is 200 miles from City A. Make a table of values and then write an equation for D, in terms of t, representing Caroline’s distance from City A t hours after leaving her house.
Please also provide what t equals. Thank you
Answer:
0, 150, 100, 50 | T=200-50x
Step-by-step explanation:
So you start with 200 miles to go and you are going 50 miles per hour. In the first hour, 50 miles would have been completed meaning that you subtract 50 miles from the remaining distance. Same with the other hours.
To put that in an equation, You would start with 200 and for every hour(x)you would subtract 50.
Cole is investing the relationship between the number of hours he tutors and the amount he is paid in dollars.He made the graph shown to model the relationshipChoose the incorrect statement based on the data shown in Cole’s graph.A) If Cole tutors 5 hours,he will be paid $40B) If Cole tutors 3 hours he will be paid $24C) If Cole tutors 7 hours he will be paid $64D) If Cole tutors 4 hours he will be paid $32
Verify each statement
A) If Cole tutors 5 hours,he will be paid $40------>
B) If Cole tutors 3 hours he will be paid $24
C) If Cole tutors 7 hours he will be paid $64
D) If Cole tutors 4 hours he will be paid $32