In 2011, the winner of the Peachtree Road Race ran the 7-kilometer event in 28 minutes. What is the runner's unit rate? If the runner completed ina 14-kilometer race, what would be the expected time?

Answers

Answer 1

Answer:

unit rate= 4-kilometers/minute   expected time= 56 minutes

Step-by-step explanation:

14 kilometers x 4 kilo/minute = 56 minutes


Related Questions

-2 ( 1/4x + 2) > or equal to 5

Answers

-2(1/4x+2) >= 5
-0.5x-4 >= 5
-0.5x >= 9
x >= -18

a.What is the length of A’A?
b.What is the length of B’B
Both in units

Answers

Answer:

A'A = 18 units, B'B = 9 units

Step-by-step explanation:

Δ ACB and Δ A'CB' are similar triangles, thus the ratios of corresponding sides are equal, that is

[tex]\frac{AC}{A'C}[/tex] = [tex]\frac{AB}{A'B'}[/tex] , substitute values

[tex]\frac{AC}{12}[/tex] = [tex]\frac{20}{8}[/tex] ( cross-  multiply )

8AC = 240 ( divide both sides by 8 )

AC = 30

Thus A'A = AC - A'C = 30 - 12 = 18 units

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

and

[tex]\frac{CB}{CB'}[/tex] = [tex]\frac{AB}{A'B'}[/tex] , that is

[tex]\frac{CB}{6}[/tex] = [tex]\frac{20}{8}[/tex] ( cross- multiply )

8CB = 120 ( divide both sides by 8 )

CB = 15

Thus

B'B = CB - CB' = 15 - 6 = 9 units

12=6x+3y solve for y

Answers

Answer:

1 1/3 = y

Step-by-step explanation:

12 = 6x + 3y

12 = 9y

12/9 = y

1 1/3 = y

Hope this helped!

solve for x


-30=5(x+1)

Answers

Answer:

-7

Step-by-step explanation:

WILL GIVE BRAINLST FOR WHOEVER ANSWERS FIRST Which of the following equations is equivalent to 6(3p – 2) = 20?
Group of answer choices


9p – 4 = 20


9p – 8 = 20


18p – 12 = 20


18p – 2 = 20

Answers

It would be the 3rd option, because you multiply 6 and 3 and get 18, and then multiply 6 and 2 and get 12 so it would be 18p-12=20

Some
One help me with this

Answers

Answer:

2/3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

Slope equals rise/run. You find one perfect point  (-2,0) and another along the line (1,2)

You count how many units up (rise) from the first point to the second point, and then you go over (run) to the second point. Your rise over your run is your slope.

6(x – 1) = 9(x + 2)
Solve

Answers

Answer:

x=−8

Step-by-step explanation:

6(x−1)=9(x+2)

Step 1: Simplify both sides of the equation.

6(x−1)=9(x+2)

(6)(x)+(6)(−1)=(9)(x)+(9)(2)(Distribute)

6x+−6=9x+18

6x−6=9x+18

Step 2: Subtract 9x from both sides.

6x−6−9x=9x+18−9x

−3x−6=18

Step 3: Add 6 to both sides.

−3x−6+6=18+6

−3x=24

Step 4: Divide both sides by -3.

−3x/−3=24/−3

Which expressions are equivalent to 3x + 3(x + y)?
Choose all answers that apply:
A 6x + 3y
B 3(x + x + y)
C 3ay

Answers

3x + 3(x + y)

3x + 3x - 3y

6x - 3y

your answer would be A

Answer:

A and B

Step-by-step explanation:

3x+3(x+y)

3x+3x+3y

6x+3y

B

3(x+x+y)

3x+3x+3y

6x+3y

Is 123456789098765432172 is divisible by 18?

Answers

Answer:

123456789098765432172 is NOT divisible by 18. When it is divided out you are left with a decimal! :)

Step-by-step explanation:

12. The table shows the height in feet of a stack of medium sized moving boxes. What is the height of a stack of 14 boxes

Answers

height = 2.25 * box.

So, 14 boxes = 2.25 * 14 = 31.5.

Write the proportional equation that represents the table below.

Answers

The answer is b y=20x

The number of free spng to download is determined by usomg a ratio. When you purchase 40 songs, you get 24 free song download. How many songs must you purchase in order to get 6 free song downloads?​

Answers

Answer:

10

Step-by-step explanation:

set up a proportion, 40/24 and x/6, 6 times 40 = 240, divide by 24 to get 10

4. Write the equation of a line that passes through the point (-8, 2) and is parallel to the
line 3x – 2y = 12.​

Answers

Answer:

3x - 2y = - 28

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 )

Given

3x - 2y = 12 ( subtract 3x from both sides )

- 2y = - 3x + 12 ( divide all terms by - 2 )

y = [tex]\frac{3}{2}[/tex] x - 6 ← in slope- intercept form

with slope m = [tex]\frac{3}{2}[/tex]

Parallel lines have equal slopes, thus

y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

To find c substitute (- 8, 2) into the partial equation

2 = - 12 + c ⇒ c = 2 + 12 = 14

y = [tex]\frac{3}{2}[/tex] x + 14 ← equation in slope- intercept form

Multiply through by 2

2y = 3x + 28  ( subtract 2y from both sides )

0 = 3x - 2y + 28 ( subtract 28 from both sides )

- 28 = 3x - 2y , that is

3x - 2y = - 28 ← equation in standard form

-3 = 1 3/5 + m .
what is m

Answers

Answer:

m = -4 3/5   or   -4.6

Step-by-step explanation:

First, we need to isolate the variable, m. We subtract 1 3/5 on both sides of the equation, and then we should get -4 3/5 = m.

hope this helped !! :D

Please help, this is my first time! Here is the question: Maria earned a total of $504 the last two days. She worked 8 hours the first day, 4 hours the second day. How much did Maria earn every hour? Please show how you did it, this is my first time, so please help.

Answers

Answer:

$42 per hour

Step-by-step explanation:

Well,

She got $504 in total

8 + 4 = 12 (the total number of hours worked)

To find out how much she earned per hour you'll need to divide.

$504 ÷ 12

which equals $42

Answer:

Maria earned $42 per hour.

Step-by-step explanation:

First, we need to add the total amount of hours she worked.

8 + 4 = 12

Next, we need to divide 504 and 12 to see how much she earned per hour.

504 ÷ 12 = 42.

So, Maria earned $42 per hour.

I hope this helps you! Welcome to Brainly. Good luck and have a great day. :)

Math I need help 8th grade

Answers

Answer:

Part A x=60

Step-by-step explanation:

68+52= 120

180-120=60

So x=60

Which Is The Correct Classification And Decimal Expansion of 3/8

Answers

Answer:

3/8 = 0.375

Step-by-step explanation:

I used a calculator

for the graph of g(x) pictured below, over which of the following intervals is g(x) only decreasing?

Answers

Answer:

2. -8 < x < -2

Step-by-step explanation:

The x-values of the line where the line slants downwards before it begins to slant upwards to the right, is the interval at which g(x) is decreasing only.

From the graph, at x = -8, y = -2. When x = -2, y = -5.

Between the intervals of x = -8 and x = -2, g(x) decreased from -2 to -5.

Therefore, the answer is: 2. -8 < x < -2

Marge's plan costs .14 cents per minute plus a monthly fee of $24. Dan's plan costs .12 cents per minute plus a monthly fee of $28. How many minutes (m) are required for both plans to cost the same for the month?

Answers

Answer:

6 min for Marge's and 7 for Dan's plan

Step-by-step explanation:

0.14x6=0.84

0.12x7=0.84

Guys pls answer this for me in a minute it is really hard

Answers

The answer to the question is B
The answer is B... hope it helps

help me!!!!!!! I need help​

Answers

Answer:

the  answer is 8

Step-by-step explanation:

BC

Answer:

8

Step-by-step explanation:

18-inches is 1.5 feet.

What is 13 / 143 as a unit fraction

Answers

Answer:1/11

Just got it using some brain cells >:)

Answer:

1/11

Step-by-step explanation:

13/143=1/11

GIVING BRAINLIEST!!! A student observes a beaker of room temperature water resting on a table. She states that the beaker of water does not have any energy. Which statement below is accurate regarding her observation?
a. She is correct because the beaker of water is not moving.


b. She is incorrect because the beaker of water has thermal energy.


c. She is incorrect because all water contains hydrogen and oxygen.


d. She is correct because the beaker of water is at room temperature.

Answers

Answer:

b

Step-by-step explanation:

need these 3 problems answered
1.(2x-3)^2+24=0
2.(3x+1)^2-49=0
3.3x^2-12x=-45

Answers

Answer:

ummm ................

Check all fractions equivalent to 2⁄8.
Check all that are true.

1⁄2

1⁄6

4⁄16

1⁄4

4⁄12

Answers

1/4 and 4/16 are equivalent to 2/8

i will mark you as brainliest please help!!

Answers

Answer:

y=x

Step-by-step explanation:

y1 is -4 and x1 is -4 so I think that's the amswer

The Rock Zoo nurses 37 species of big cats. Recently, a few species of big cats were sponsored to other zoos around the country. The zoo now nurses only 25 species. How many species of big cats were sponsored to other zoos?

Write the equation to be used to solve this equation.

Answers

Answer:

12 species

Step-by-step explanation:

37-N=25

working backwards

25-37=N

=25-37=12

A bus and a truck leave a gas station at the same time and are headed to the same destination. If the bus traveled 110 miles in 2 hours, and the truck traveled 180 miles in 3 hours, who is on pace to reach the destination first?

Answers

Answer:

The truck is on pace.

Step-by-step explanation:

To find which truck will arrive first, you need to find each vehicle's mph. To get the mph of each vehicle you just need to divide the distance by time.

Bus: 110 (miles) ÷ 2 (hours) = 55 (miles per hour)

Truck: 180 (miles) ÷ 3 (hours) = 60 (miles per hour)

When you do this you can see the mph of the bus is < the mph of the truck.

If you have any questions please leave them in the comments.

A school has $15,000 to spend on computer monitors. The school plans to purchase 200 monitors for $89 each. A teacher completes the calculations below and concludes that the school has enough money to buy the monitors. 200 × 89 = (200 × 8) + (200 × 9) = 1,600 + 1,800 = 3,400

Answers

Answer:

Since the budget of the school is $15,000, the school does not have enough money to buy the monitors

Step-by-step explanation:

The school plans to purchase 200 monitors for $89 each.

This is the calculation of the teacher

200 × 89 = (200 × 8) + (200 × 9) = 1,600 + 1,800 = 3,400

The teacher's calculation is wrong

The correct calculation using Distributive property is

a(b + c) = ab + ac

200 × 89 = 200(80) + 200(9)

Because 80 + 9 = 89

Hence,

200 × $89 = 16000 + 1800

= $17,800

Since the budget of the school is $15,000, the school does not have enough money to buy the monitors

$17, 800 ≠ $15,000

Given f(x) = -x + 3, solve for x when f(x) = 4.

Answers

Answer:

x=-1

Step-by-step explanation:

f(x)=f(x)

-x+3=4

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