Written Portion
The graph below shows the relationship between time and distance traveled
by a race car moving at a constant rate and at its maximum speed. How long
did it take the race car to travel 480 miles?
Race Car Data
Distance (miles)
800
700
600
500
8400
300
200
100
0.5 1.5 2.5 3.5 4.5 5.5 6.5
Time (hours)

Answers

Answer 1

Answer:

2.4 hours

Step-by-step explanation:

The graph is a straight line graph. A straight line graph is used to represent a linear equation. A linear equation is represented by the equation: y = mx + c, where y is the dependent variable, x is the independent variable, m is the slope (rate of change) and c is the intercept.

A line passing through the point [tex](x_1,y_1)\ and\ (x_2,y_2)\[/tex] can be represented by the equation:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]

Let y represent the distance in miles and x represent the time in hours. From the graph, the line pass through (0.5, 100) and (3.5, 700). Hence using:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-100=\frac{700-100}{3.5-0.5} (x-0.5)\\\\y-100=200(x-0.5)\\\\y-100=200x-100\\\\y=200x-100+100\\\\y=200x\\\\To\ travel\ 480 \ miles,we\ substitute\ y=480\ and\ find\ x\\\\480=200x\\\\x=480/200\\\\x=2.4\ hours[/tex]

Written PortionThe Graph Below Shows The Relationship Between Time And Distance Traveledby A Race Car

Related Questions

what is the answer to 20x+7=4+6?

Answers

Answer:

Step-by-step explanation:

Answer:

0.15

Step-by-step explanation:

20x+7=10

20x=10-7

20x=3

x=3/20

x=0.15

Find the value of x for which d ||m.

Answers

Answer :

A and B are alternate interior angles[tex].[/tex]

∠A = ∠B

➠ (2x - 20)° = 90°

➠ 2x = 90° + 20°

➠ 2x = 110°

➠ x = 110°/2

x = 55°

Hope It Helps!

The value of x for which d || m is 35° and their alternate angles are of equal measure.

What is a transversal line?

A transversal is a line that intersects two lines on the same plane at two different points. When those two intersected lines are parallel their alternate angles, interior angles and exterior angles are equal and the converse of this statement is also true.

We know when two parallel lines are intersected by a transversal their interior alternate angles are equal.

∴ (2x - 20)° = 90°

2x = (90 - 20)°.

2x = 70°.

x = 35°.

learn more about transversal here :

https://brainly.com/question/17432060

#SPJ2

What is the y-intercept of the graph shown?
A)3
B)-5/2
C)1
D)5/2

Answers

Answer:

A

Step-by-step explanation:

A dot has a x - intercept and a y - intercept.

When looking for a y - intercept, you look at the y line in the graph. Where does the graph cross it?

The answer (in this case) is 3, because it's right in the middle between 2 and 4

Simplify the expression -3÷(-2/5)

Answers

Answer:

15/2 would be the simplified answer

Step-by-step explanation:

Answer:

15/2

(Decimal: 7.5)

Step-by-step explanation:

4000+600+7 standard form

Answers

Answer:

Your answer if 4607

Step-by-step explanation:

4000 + 600 + 7 = 4607

Answer:

I think the answer is 4607

Please help me with this answer

Answers

Answer: -15a^3b^4

Step-by-step explanation: combine like terms and multiply and stuff

Answer:

-15a³b⁴

Step-by-step explanation:

you have to add the exponents when you multiply them and just multiply the numbers

If 5/x = 15/x+20, what is the value of x/5?

Answers

Answer:

c) 2

Step-by-step explanation:

here you can use cross multiplication. that's where you turn the fraction into an equation. ( there's videos about it, I'm not very good at explaining )

so you can turn

[tex]\frac{5}{x} = \frac{15}{x + 20}[/tex]

into

5(x + 20) = 15x

5x + 100 = 15x

subtract 5x from both sides

100 = 10x

x = 10.

the value of x/5 would be 2, since 10/5 is 2.

Since x/5 is the reciprocal of 5/x, we know that we can flip the fraction on the right hand side will be flipped.

Thus, x/5 = (x + 20)/15

Now we cross multiply, 15x = 5(x + 20)

Simplify: 15x = 5x + 100

Subtract 5x from each side: 10x = 100

Divide 10: x = 10

Now plug 10 back into the right hand side: (10 + 20)/15

So, the answer is 2.


19
1 point
17) For each of the following, identify the type of angle pair, and solve for 'x'.
(12x-3)
(7x+12)

Answers

x=3
12x-3=7x+12= (x=3)
explanation: isolate the variables

What is the equation of the line that passes through the point (8,1) and has a slope of -3/4 PLEASE HELP

Answers

Answer:

y = -3/4x + 7

Step-by-step explanation:

Given: m = -3/4

y = mx + b

(1) = -3/4(8) + b

1 = -6 + b

b = 7

Use m and b to form equation of line:

y = mx + b

y = -3/4x + 7

Answer: y = 7 over 10 x -8

Step-by-step explanation:The point we are given  (0,−8) is the y-intercept (c). The clue for this is that the x-value is 0, which means the point lies on the y-axis.

A factory produces 70 toys per hour. The relationship between the number of toys produced, t, and the number of hours elapsed, h, is proportional. Which equation shows this relationship?

A. h = 70t
B. t=70h
C. h=70 + t
D. t = 70 - h

Answers

B) t = 70 h

A factory produces 70 toys per hour. The relationship between the number of toys produced, t, and the number of hours elapsed, h, is proportional.

I really need some help with this

Answers

Answer:

4

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ 0, 4 ] , thus

f(b) = f(4) = - 4² + 8(4) - 4 = - 16 + 32 - 4 = 12

f(a) = f(0) = - 4 , then

average rate of change = [tex]\frac{12-(-4)}{4-0}[/tex] = [tex]\frac{12+4}{4}[/tex] = [tex]\frac{16}{4}[/tex] = 4

help me please i dont get it

Answers

Answer:

b

Step-by-step explanation:

b

Answer:6/12

Step-by-step explanation: you find the common denominator (12 in this case) and multiply 3 by 4 to get that,then you multiply one to get 4.And finally you can add (terrible explanation)

how to you find the simplest interest

Answers

Answer:

hahahahawe fiefu3j4ion31pigjp 34gn4j32ogfp34 ijg3 4g1i34onglm3go 314go34n1go31lg 34ogp13m4ogfp123g 34p1gfoi32jmfop23f 31ogi3j4go

Step-by-step explanation:

Simple Interest

Simple interest represents a fee you pay on a loan or income you earn on deposits.

When borrowing money: You must repay the amount you borrowed and make extra payments for interest, which represents the cost of borrowing.

When lending money: You typically set a rate and earn interest income in exchange for making your money available to other people.

When depositing money: Interest-bearing accounts such as savings accounts pay interest income because you are making money available to the bank to lend to others.

 

How to Calculate It

In the following example, the term "simple" means you're working with the simplest way of calculating interest. Once you understand how to calculate simple interest, you can move on to other calculations, such as annual percentage yield (APY), annual percentage rate (APR), and compound interest.

Hope this helps! <3

Dilations increase the measure of angles. true or false

Answers

False.

Dialtions change the size of the figure but does not change the angles

Answer:

i think it is false

Step-by-step explanation:

What is equivalent to (2.0x10^3)(2.0x10^4)

Answers

Answer:

40,000,000

Step-by-step explanation:

ILL GIVE U A BRAINLIEST IF U GET IT RIGHT

(if you spam some random words just to get points, imma report ur comment so you dont get them)

Answers

Answer:

This ladder will be long enough because the top of the roof is 15ft 9in and that's < 25

Step-by-step explanation:

Answer:

This ladder will be long enough because the top of the roof is 15ft 9in and that's < 25

explanation:

11. Six times a certain number less 31 is the same as 10 subtracted from
Ehree times the number. Write the equation and find the number.

Answers

Answer:

            The number is 7

Step-by-step explanation:

x       - a certain number

6x  -  - six times the number

6x-31    - six times the number less 31

3x        - three times the number

3x-10    -  10 subtracted from  three times the number

so the equation:

6x - 31 = 3x - 10

    +31       +31

 6x  =  3x + 21

 -3x     - 3x

3x  = 21  

 ÷3     ÷3

 x = 7

Check:  6•7-31=42-31=11;   3•7-10=21-10=11  

HURRY !!!
Translate each expression or equation into a verbal phrase.
21) 2 (5+t) = 8

Answers

Two times five is 10 and two times t is 2t. These added together is 12t . Explanation:none

Three train cars can carry 48 cargo boxes. What is the greatest number of cargo boxes that can be carried by 32 train cars?
A.
512
B.
768
C.
1,024
D.
192

Answers

A. 512

48 divided by 3 = 16

16•32=512

The area of a circle is 452.39 square yards. Find the radius of the circle

Answers

Answer:

12

Step-by-step explanation:

Using the formula

A=πr^2

Solving for r

r=A

π=452.39

π≈12.00001

Answer:

The radius is equal to 12 yards

Use the distributive property to write an equivalent expression -3(-5x+7)

Answers

Answer:

15x - 21

Step-by-step explanation:

-3(-5x+7)

you sidtribute the 3 to both numbers by multiplying both the -5 and the 7 by -3

-3 x -5x = 15x (remember, a negative times a negative equals a positive)

-3 x 7 = -21 (A negative times a positive equals a negative)

15x - 21

please help me i’m being timed

Answers

Answer:

top l) -4[tex]\frac{4}{5}[/tex]

top r)-7.5

bottom l) 1.5

bottom r)-2[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

What is the x-intercept of the slope of -2 and a y-intercept of 0, 6

Answers

Answer:

x- intercept = 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 2 and c = 6 , thus

y = - 2x + 6 ← is the equation of the line

To find the x- intercept, let y = 0 in the equation and solve for x

- 2x + 6 = 0 ( subtract 6 from both sides )

- 2x = - 6 ( divide both sides by - 2 )

x = 3 ← x- intercept or (3, 0 )

X-incterpret=3 is the answer you’re look for

Can someone solve for x

Answers

Answer:

x = -5

Step-by-step explanation:

77+66+x+42 = 180

x + 185 =180

x = -5

What is the volume of the cylinder with height 8m and radius of 5m

Answers

Question :-

What is the volume of a cylinder with a radius of 5 m and a height of 8 m?

Answer :-

The volume of a cylinder is 628 m³.

[tex] \rule{180pt}{4pt}[/tex]

Diagram :-

[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{5 \: m}}\put(9,17.5){\sf{8 \: m}}\end{picture}[/tex]

Solution :-

As per provided information in the given question, we have been given that the Radius of a cylinder is 5 meters. The height of a cylinder is 8 meters. We have been asked to find the volume of a cylinder.

To calculate the volume of a cylinder, we will apply the formula below :-

[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: Volume_{(Cylinder)} = \pi r^2 h \: \: }}[/tex]

Substitute the given values into the above formula and solve for Volume :-

[tex]\sf:\implies Volume_{(Cylinder)} = \pi r^2 h[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(5 \: m)^2(8 \: m)[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(25 \:m^2)(8 \: m)[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = (78.5 \:m^2)(8 \:m)[/tex]

[tex]\sf:\implies\bold{Volume_{(Cylinder)} = 628 \: m^3}[/tex]

Therefore :-

The volume of a cylinder is 628 m³.

[tex]\\[/tex]

Learn more about the Volume of a Cylinder at https://brainly.com/question/15197979

Have a great day! <33

Write the prime factorization of 36. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).

Answers

Answer:

                                 36

                        2        x       18

                  2      x       2       x   9

             2   x     2    x    2     x      3

Step-by-step explanation:

Katy and Matt are playing a card game.
Katy has 6 cards. Matt has 5 more cards than Katy.
How many cards does Matt have?
cards

Answers

Matt has 11 cards my guy

Answer:

11 cards

Step-by-step explanation:

add them

Help me help me !!!!!

Answers

Answer:

Step-by-step explanation:

a contractor is purchasing stone tiles for a new patio. Each tile cost $3, and he wants to spend between $600 and $900 inclusive. Write an inequality that represents the number of tiles he can purchase and then figure out the possible number of tiles he can purchase

Answers

Answer:

600 ≤ 3x ≤ 900

Can purchase between 200 to 300 tiles.

Step-by-step explanation:

600 ≤ 3x ≤ 900

600 ≤ 3x and 3x ≤ 900

x ≥ 200 and x ≤ 300

Write an expression that is equivalent to three over four (5z+ 16).

Answers

15 over fourz +12

Using the distributive property, 3/4 • 5z equals 15/4z, which can't be simplified. Then 3/4 of 16 is 12. If you divide 16 by 4 (the denominator) and then multiply by 3 (the numerator) that yields your answer.

Answer:

15/4 z + 12

Step-by-step explanation:

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