A question on a test asks students to find the speed at which a car travels. The graph shows a proportional relationship between the distance traveled in miles and time in hours. Billy incorrectly says that the speed of the car is 1/60 mile per hour. What is the speed of the car? What error might Billy have made?​

A Question On A Test Asks Students To Find The Speed At Which A Car Travels. The Graph Shows A Proportional

Answers

Answer 1

Answer:

Step-by-step explanation:

Since, speed of a car = [tex]\frac{\text{Distance traveled}}{\text{Time taken}}[/tex]

From  the graph attached,

A point (1, 60) lies on the line shown in graph.

At this point speed of the car = [tex]\frac{\triangle y}{\triangle x}[/tex]

                                                [tex]=\frac{60-0}{1-0}[/tex]

                                                = 60 miles per hour

But Billy says the speed of the car is [tex]\frac{1}{60}[/tex] miles per hour.

So the error in the Billy's answer is that he has used the wrong formula to calculate the speed.

(As per Billy, speed = [tex]\frac{\text{Time taken}}{\text{Distance covered}}[/tex])


Related Questions

Solve the equation 4x-6= 34. Write a reason for each numbered step.

Answers

Answer:

Steps:

4x - 6 = 34

Add 6 to both sides

4x - 6 + 6 = 34 + 6

Simplify:

4x = 40

Divide both sides by 4

4x/4 = 40/4

Simplify:

x = 10

PLEASE HELP ME!!! Point Q is located at (-4, 6) Point R is located at (8, 6)
what is the distance from point Q to point R?

Answers

Q = (-4, 6)
R = (8, 6)

You can work out the distance between the points by doing the following formula:


√(x₂ - x₁)² + (y₂ - y₁)²

Factor in our points:

√(8 - -4)² + (6 - 6)²

Solve the brackets (remember a negative and a negative make a positive):

√(12)² + (0)²

= √144 + 0

= √144

Solve this expression to get your final answer of the distance between two points:

√144 = 12

I hope this helps. If it does then a Thanks or a Brainliest would mean a lot! :)

PLEASEEEEEEEE HELP ME I NEED TO TURN THIS IN

Answers

Answer:

102 degrees

Step-by-step explanation:

Since the two angles are same side interior that would mean they sum up to 180 degrees.

180-78=102 degrees

hoped this helped :)

Simplify: (just give the answer)
6²+4²

Answers

Answer:

10 squared

Step-by-step explanation:

Answer: 52

Step-by-step explanation:

6*6 = 36 4*4 = 16

36+16=52

He ran 10 meters in 2.7 seconds. Priya ran 10 meters in 2.4 seconds. who ran faster?

Answers

Answer:

Priya

Step-by-step explanation:

Priya ran faster by .3 seconds

will give brainliest!

which one is it. plz help ​

Answers

Answer:

A.

Step-by-step explanation:

Answer:

The answer is the first option.

Step-by-step explanation:

PLS SOLVE QUICKLY:

u/p +u/q = m, if, p is not equal to -q

Answers

Answer:

4n r+

Step-by-step explanation:

Try using calculator cause I seen this before.

(y - 2)2 = y2 – 6y + 4
Is this statement true or false?

Answers

Answer: False

==============================================

Explanation:

I'm assuming you meant to type out

(y-2)^2 = y^2-6y+4

This equation is not true for all real numbers because the left hand side expands out like so

(y-2)^2

(y-2)(y-2)

x(y-2) .... let x = y-2

xy-2x

y(x)-2(x)

y(y-2)-2(y-2) ... replace x with y-2

y^2-2y-2y+4

y^2-4y+4

So if the claim was (y-2)^2 = y^2-4y+4, then the claim would be true. However, the right hand side we're given doesn't match up with y^2-4y+4

--------------------------

Another approach is to pick some y value such as y = 2 to find that

(y-2)^2 = y^2-6y+4

(2-2)^2 = 2^2 - 6(2) + 4 .... plug in y = 2

0^2 = 2^2 - 6(2) + 4

0 = 4 - 6(2) + 4

0 = 4 - 12 + 4

0 = -4

We get a false statement. This is one counterexample showing the given equation is not true for all values of y.

It is false. Expand the left term, then check if both sides are equal

BRAINLIEST

If point B has coordinates (-8,1), what are the coordinates of the point when it is
reflected across the y axis?

Answers

Answer:

it is (8;1)

Step-by-step explanation:

Answer:

(8, 1)

Step-by-step explanation:

When a point undergoes a reflection across the y-axis, it follows the following transformation:

(x, y) --> (-x, y)

(8, 1) --> (-8, 1)

Katie say whaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaatttttttttttttttttttt

Answers

Answer:

fr

Step-by-step explanation:

what is proportional to 35/80​

Answers

Answer:

nhi pta... pdhai dhang se kiya kro

find the slope of the line that passes through 4,3 and 2,7

Answers

Answer: -2

Step-by-step explanation:

Write the following linear function in slope intercept form.

Group of answer choices
y=-x+3
y=-5x-16
y=-3x+1
y=3x-1

Answers

Answer:

Step-by-step explanation:

my guessing skills be like y=-3x+1

13. What is the cube root of 217 to the nearest
integer?
A. 6
B. 15
C. 72
D. 109
86
Math Aca

Answers

Answer:

A

Step-by-step explanation:

Answer:

The answer is

A.6

Find the slope of the line. (-3/2, -3/2) (3/2, 3/2)

Answers

Answer:

1

Step-by-step explanation:

1st way: We can find the slope of the line by plugging the two points into the slope formula. If you do, slope would be (-3/2-3/2)/(-3/2-3/2) which simplifies to -3/-3 which is 1. The slope is 1.

2nd way: You can just use logic to figure it out because since the x and y in both of the points are equal to each other, we know that the slope has to be 1.

Answer:

It is 1. You would put one in the positive section of the line graph, and put 1 in the negative section of the line graph.  ≥ × ≤`

Step-by-step explanation:

≥ × ≤`

The points (5, n) and (4, -4) fall on a line with a slope of 7. What is the value of n?
n =
Submit
Work it out

Answers

Answer:

Step-by-step explanation:

The slope of a line can be calculated:

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\[/tex]

We know that the slope is 7, so we want to solve for [tex]y_2[/tex]

[tex]\frac{n-(-4)}{5-4} = 7\\\frac{n+4}{1} = 7\\n+4 = 7\\n = 3[/tex]


D =
R =
Function?
Find the domain and range of each relation. Then, determine if the relation is a function.

Answers

The domain of this relation is [-2,5].

The range of this relation is [-2,4].

This relation is NOT a function. In order for a relation to be a function, each x-value needs to result in a singular y-value and pass the vertical line test. Since this is not true, the relation is not a function.

Please help me answer this question

Answers

Answer:

x = 90 degrees and y = 43 degrees

Step-by-step explanation:

We have an isosceles triangle here, since the length of AB equals the length of AC.

That also means that angle ABC equals angle ACD = 47 degrees.

The sum of the interior angles of a triangle equals 180.

47 + 47 + 2y = 180

94 + 2y = 180

2y = 86

y = 43 degrees

x + 43 + 47 = 180

x + 90 = 180

x = 90

Find the length of the diagonal of a square with perimeter 56

Answers

Answer:

About 19.8

Step-by-step explanation:

First find the side lengths. In this example, 56/4=14

Next use the Pythagorean theorem, to us it, here's the formula a squared plus b squared equals c squared. For this example use 14 squared plus 14 squared which equals 392.

Finally take the square root of 392 because we still need to take the squared out in c. The square root of 392 rounded to the nearest tenth is 19.8.

.
Choose the correct answer to 318 x 6.
1,808
1,906
1,918
1,908

Answers

Answer:

1,908

Step-by-step explanation:

1,908 u know u can calculate that.

Anybody know this I’ll give you 25 points and the answer is not D

Answers

Answer:

Most likely D, not sure if I am correct, this might not help

Step-by-step explanation:

In order to find the inverse of an equation, we first swap x and y. Then, we solve for y in the new equation.

[tex]y=x^2-5\\x=y^2-5\\x+5=y^2\\±\sqrt{x+5} =y[/tex]

Ignore the A with a caret above it in the front, I don't know why it is there. I am not sure if I am correct, as I have only just completed Algebra 1 so I do not have good knowledge on mathematics.

HELPPPPPP
Question 8 of 10
If a country wants to decrease its national debt as quickly as possible, what
kind of budget will it most likely create?
O A. One that increases taxes and increases spending
B. One that decreases taxes and decreases spending
Ο Ο Ο
C. One that decreases taxes and increases spending
D. One that increases taxes and decreases spending
SUBMIT

Answers

The answer is most likely to be D.

look at picture for the question
I will make brainiest whoever has the correct answer!

Answers

Answer:

D. all real numbers

HELP ANSWER THIS QUESTION ​

Answers

Answer:

f^-1(x) = (x+2)/3

Step-by-step explanation:

F(x) = 3x-2

substitute x for y, and f(x) for x:  x = 3y - 2

Solve for y:  x + 2 = 3y

y = f^-1(x) = (x+2)/3

please help me with this​

Answers

Answer: C is no and the others are yes.

Step-by-step explanation:

given the function g(x)=x^2+5x-2 determine the average rate of change of the function over the interval -9 ≤ x ≤ 3​

Answers

The average rate of change over an interval is the same as the slope between those two values.  The formulate for slope is:

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

You are given the x values: x2=3 and x1=-9.  Plug in these x values to g(x) find the y values:

g(3)=3^2+5(3)-2=9+15-2=22

g(-9)=(-9)^2+5(-9)-2=81-45-2=34

Now, you can solve for m:

m=(22-34)/(3--9)

m=-12/12

m=1

Hope this helps!!

the  average rate of change of the function over the interval -9 ≤ x ≤ 3​ is -1

The average rate is the change of expression with respect to time.

Given the expression g(x)=x^2+5x-2 within the interval -9 ≤ x ≤ 3​

At the lower interval x = -9

g(-9) = (-9)²+5(-9)-2

g(-9)= 81-45-2

g(-9) = 34

At the upper interval x = 3

g(3) = (3)²+5(3)-2

g(3)= 9+15-2

g(3) = 22

The average change of the function will be expressed as:

[tex]\frac{\triangle y}{\triangle x} =\dfrac{g(b)-g(a)}{b-a}\\ \frac{\triangle y}{\triangle x} =\dfrac{g(3)-g(-9)}{3-(-9)}\\\frac{\triangle y}{\triangle x} =\dfrac{22-34}{12}\\\\\frac{\triangle y}{\triangle x} =\dfrac{-12}{12} \\\frac{\triangle y}{\triangle x} =-1[/tex]

Hence the  average rate of change of the function over the interval -9 ≤ x ≤ 3​ is -1

Learn more here: https://brainly.com/question/7590674

Twice a number n decreased by seven (ez points for ez question so answer )

Answers

2n-7
good luck :)))
-☺️

At the same time a 15-foot pole casts a 7.5-foot shadow; a nearby tree casts a 24-foot
shadow. How tall is the tree?

Answers

Answer:

12-foot shadow

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest

sorry if im wrong

Kate ran 4 miles. How far did she run in kilometers?

Answers

Answer:

About 6.44 kilometers

Step-by-step explanation:

I mile is approximately 1.61 kilometers, so 4 miles would be 1.61 · 4 = 6.44 kilometers.

Hope this helps!

Enter a value that is a solution the equation(x + 7^2)=169

Answers

[tex]\huge\text{Hey there!}[/tex]


[tex]\mathsf{(x + 7^2) = 169}[/tex]

[tex]\mathsf{x + 7^2 = 169}[/tex]

[tex]\mathsf{x + 7\times 7 = 169}[/tex]

[tex]\mathsf{x + 49 = 169}[/tex]

[tex]\text{Subtract 49 to both sides}\downarrow[/tex]

[tex]\mathsf{x + 49 - 49 = 169 - 49}[/tex]

[tex]\text{Simplify it}\downarrow[/tex]

[tex]\mathsf{x = 169 - 49}[/tex]

[tex]\mathsf{x = 120}[/tex]


[tex]\large\text{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf x = \frak{120}}\huge\checkmark[/tex]



[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

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