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
400
300
200
100
0
0.5 1.5 2.5 3.5 4.5 5.5 6.5
Time (hours)

Answer:

not enough information

Answer:4

Step-by-step explanation:

This is a fraction equal to

64 miles ÷ 16 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 16

Let numerator of fraction be x and denominator be y.

∴ Fraction = x/y

★ Part - A :

[tex]:\implies\tt\:\dfrac{x\times 4}{y-2}=2[/tex]

[tex]:\implies\tt\:4x=2(y-2)[/tex]

[tex]:\implies\tt\:4x=2y-4[/tex]

[tex]:\implies\tt\:2y=4x+4[/tex]

[tex]:\implies\bf\:y=2x+2\:\:\dots (1)[/tex]

★ Part - B :

[tex]:\implies\tt\:\dfrac{x+15}{2y-2}=\dfrac{9}{7}[/tex]

[tex]:\implies\tt\:7(x+15)=9(2y-2)[/tex]

[tex]:\implies\tt\:7x+105=18y-18[/tex]

From equation (1)...

[tex]:\implies\tt\:7x+105=18(2x+2)-18[/tex]

[tex]:\implies\tt\:7x+105=36x+38-18[/tex]

[tex]:\implies\tt\:29x=105-18[/tex]

[tex]:\implies\tt\:x=\dfrac{87}{29}[/tex]

[tex]:\implies\boxed{\bf{x=3}}[/tex]

[tex]:\implies\tt\:y=2x+2[/tex]

[tex]:\implies\tt\:y=2(3)+2[/tex]

[tex]:\implies\boxed{\bf{y=8}}[/tex]

∴ Fraction = x/y = 3/8

Answer:  3/8

Step-by-step explanation:

Let x represent the numerator and y represent the denominator.

Equation 1: (4x)/(y - 2) = 2

                  4x = 2(y - 2)        Cross Multiplied

                  4x = 2y - 4           Distributed

                  4x - 2y = -4          Subtracted 2y from both sides

Equation 2: (x + 15)/(2y - 2) = 9/7

                  9(2y - 2) = 7(x+15)           Cross Multiplied

                  18y - 18 = 7x + 105          Distributed

                  -7x + 18y - 18  = 105        Subtracted 7x from both sides

                  -7x + 18y = 123                Added 18 to both sides

Solve the system of equations using Elimination Method:

EQ1:    4x - 2y =  -4     →    9(4x - 2y =  -4)     →      36x - 18y =  -36

EQ2: -7x + 18y = 123   →   1(-7x + 18y = 123)  →      -7x + 18y = 123  

                                                                              29x          =  87

                                                                            ÷29              ÷29

                                                                                  x         =  3

Substitute x = 3 into either equation to solve for y:

EQ1: 4x - 2y = -4

      4(3) - 2y = -4

       12  - 2y = -4

            -2y  = -16

              y  =   8

The numerator (x) = 3

The denominator (y) = 8

The fraction is: 3/8

Answer:

It will take 12 seconds to be at same distance

The equation is;

8.8x = 6.3x + 30

Step-by-step explanation:

Let the number of seconds it will take be x

Mathematically, distance = speed * time

At x-seconds , Hudson will be at a distance of 8.8 * x = 8.8x ft

At x seconds , Knox will be at a distance of 30 ft + (6.3 * x) = 6.3x + 30feet

So the time it will take them to be at the same distance can be calculated using the equation;

6.3x + 30 = 8.8x

8.8x - 6.3x = 30

2.5x = 30

x = 30/2.5

x = 12 seconds

Answer:

Step-by-step explanation:

It will take 12 seconds to be at same distance

Answer:

Associative property of addition

Step-by-step explanation:

This is because the associative property of addition states that changing the grouping of addens does not change the sum. In other words, if you rearrange the sums of a expression, the result should remain the same.

Answer:

associatice property of addition

Step-by-step explanation:

Answer:

11 and 12

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Based on the ratio of sunny days to rainy days last month, there would have been 6 rainy days.

For every 4 sunny days, there is 1 rainy day. This means that every 5 days, one of those days will be rainy and 4 will be sunny.

We can therefore represent that as:

= 1/5 of any number of days will be rainy

If there are 30 days therefore, 1/5 of those 30 days will be rainy:

= 1/5 x 30

= 6 days

In conclusion, 6 days will be rainy out of 30 days.

Find out more at https://brainly.com/question/4656740.

Answer:

x=-1 y=-3

............

Answer:

( − 1 , − 3 ) or x= − 1 , y = − 3

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer:

Step-by-step explanation:

Greg

Distance from start line after 10 seconds:

Marti

Distance from start line after 10 seconds:

Comparing distances from the start line, 134.7 ft vs 167 ft, Marti is farthest from the start line and he is the winner.

Answer:

1: below its initial height.

2: if Jimmy has 20 balls and Chris take 15,how many balls does Jimmy have?

3: I would want Mrbeast to be the President because he would help everyone.

Answer:

Step-by-step explanation:

Equation

-18 = 10 + x → Change the x and 10, changing their sign to the opposite:

-x = 10 + 18 → Sum:

-x = 28 → Change the position of the minus sign:

x = -28

Hope this helps!

Good studies! ☺

Answer: -18 = 10 + x   |  x = - 28

Step-by-step explanation: do the inverse operation by subtracting. -28 -   -10 = -18. x = -18

Answer:

4(4+9)

Step-by-step explanation:

If you distribute(multiply) the 4 within the parentheses it'll equal 16+36.

Answer:

216.66667

Step-by-step explanation:

(0+0+150+250+400+500) / 6 = 216.66667

Answer:

EF = 58

Step-by-step explanation:

Find the diagram of the question attached.

According to the addition postulate;

DE+EF = DF

Given

DE = 47

EF = 3x+10

DF = 9x-39

Substitute into the addition postulate formula and get x

47+3x+10= 9x-39

Collect like terms

3x-9x = -39-10-47

-6x = -96

x = -96/-6

x = 16

Next is to evaluate EF:

EF = 3x+10

EF = 3(16)+10

EF = 48+10

EF = 58

Hence the measure of EF is 58

Answer:

A.  y = 7/3x + 2

Step-by-step explanation:

14x = 6y - 12

14x + 12 = 6y

y = 7/3x + 2

Answer:

-6 ≤ x < 0

Step-by-step explanation:

Subtract the 7 on both sides to get x isolated.

Answer:

-6 ≤ x < 0

Step-by-step explanation:

This is the answer because:

1) First, we have to isolate the x

2) In order to isolate the x, you have to subtract 7 from 1 and 7

1 - 7 = -6

7 - 7 = 0

Therefore, the inequality is -6 ≤ x < 0

Hope this helps! :D

Answer:

Since we can't buy 0.68 of a fish and our number must be less than 13.68, we can buy 13 fish.

Step-by-step explanation:

3.29f ≤ 45

3.29f/3.29 ≤ 45/3.29

f ≤ 13.68

Answer:

4/5

Step-by-step explanation:

If you look at the point (-2,0) you can see that it sits directly on the line above 2. If you also at the point (3,4) you can see that its also sitting directly in the middle, where the line runs through it. Using this information we can use Rise/Run.

Rise/Run = Y/X

from (-2, 0) you rise 4 and you run 5 to the right to land on (3,4).

This is one of many ways you can calculate The slope from a graph!

Hope this helps! :)

Answer:

x= 2/3

Step-by-step explanation:

hiiiiiiiiiiiiiiiiiii

Answer:c

Step-by-step explanation:

9514 1404 393

Answer:

  TR = 362.0 ft

Step-by-step explanation:

The tangent relation is useful for this.

 Tan = Opposite/Adjacent

 tan(75°) = TR/ST = TR/(97 ft)

  TR = (97 ft)(tan(75°))

  TR ≈ 362.0 ft

Answer:

9.5

Step-by-step explanation:

if you divide them

28.5÷3=9.5

38÷4=9.5

47.5÷5=9.5

57÷6=9.5

the constant proportionality is 9.5. They are equal.

Answer:

For every one inch of water the snow increases by 9.5

Step-by-step explanation:

38 - 28.5 = 9.5

57 - 47.5 = 9.5

Answer:

bruh

Step-by-step explanation:

Answer:

a. 4  b.15  c. 26.   d.30

Step-by-step explanation:

i had this problem and i have the paper and i got it right so if they are wrong then i have no clue

Answer:a. 4  b.15  c. 26.   d.30

Step-by-step explanation:

Hope it helps

Answer:

False It has to be the divisor/ the second fraction.

Step-by-step explanation:

Answer:

(x-5)^2

Step-by-step explanation:

Answer:x-9

Step-by-step explanation:

Simplifying

Solving for variable

Move all terms containing x to the left all other terms to the right

Devide each side by 16

X=9