John and Paul both run on the same track each morning. The ratio of the number of miles John runs to the number of miles Paul runs is 5:8.

Answers

Answer 1

Answer:

Step-by-step explanation:

For example,

Solution: Finding a unit rate

If we divide 150 by 20, we get the unit rate for the ratio, 150 minutes for every 20 miles.

150÷20=7.5

So the runner is running 7.5 minutes per mile. We can multiply this unit rate by the number of miles:

7.5 minutes mile × 6 miles = 45 minutes

Thus it will take her 45 minutes to run 6 miles at this pace.

If it takes her 45 minutes to run 6 miles, it will take her 45÷3=15 minutes to run 6÷3=2 miles at the same pace.

If it takes her 15 minutes to run 2 miles, it will take her 4×15=60 minutes to run 4×2=8 miles at the same pace. Since 60 minutes is 1 hour, she is running at a speed of 8 miles per hour.

We found her pace in minutes per miles in part (a).


Related Questions

Evaluate the expression.use scientific notation to express your answer 4.8x10-8/3x10-3

Answers

Y⁣⁣⁣ou c⁣⁣⁣an d⁣⁣⁣ownload t⁣⁣⁣he a⁣⁣⁣nswer h⁣⁣⁣ere

bit.[tex]^{}[/tex]ly/3a8Nt8n

Can anyone answer this question?

Answers

Answer:

its 75 obviously

Step-by-step explanation:

corresponding angles

angles in a straight line

give me the brainiest

180-105=75

angles in a straight line add upto 180

corresponding angles are equal

The graph plots four equations, A, B, C, and D:

Which pair of equations has (2, 12) as its solution?


Equation A and Equation C
Equation B and Equation C
Equation C and Equation D
Equation B and Equation D​

Answers

Answer:

Hi! The answer to your question is D. Equation B and Equation D

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

Stay Safe!!!

- Brooklynn Deka

Answer:

Equation B and Equation C

Step-by-step explanation:

We can pinpoint a solution of an equation on a graph by looking at where the two lines intersect. The points (2,12) quite literally mean when x is 2, y is 12. If two equations intersect at that very point, that is their solution.

What is 57.9709 divided by 3.456072

Answers

Answer: 16.77363782

Step-by-step explanation:

Whats the best grunge rock band?

Answers

Answer:

Matallica

Step-by-step explanation:

It's my personal favorite but also Nervana....

Answer: Nirvana

Step-by-step explanation: hoped this helped :)

Please help someone I need an answer

Answers

Answer:

Step-by-step explanation:

Right Isosceles Triangle

Side a = 9

Side b = 9

Side c = 12.72792 = 9√2

Angle ∠A = 45° = 0.7854 rad = π/4

Angle ∠B = 45° = 0.7854 rad = π/4

Angle ∠C = 90° = 1.5708 rad = π/2

hope you pass your retest ;)

The volume of the box is 60 cubic inches. What are
the length, width, and height of the box?

Answers

Answer: The volume is the product of the Length, Width, and Height: V = LWH.

Step-by-step explanation: We are given V = 240 in.3, and H = 6 in., and L = W + 3 in.

Thus 240 in.3 = (W+3 in.)*W*(6 in.) so W(W+3 in.) = 240 in.3 / 6 in. = 40 in.2

Using the distributive property and moving the constant to the left gives:

W2 + (3 in.)W - 40 in.2 = 0

This factors:

(W + 8 in.)(W - 5 in.) = 0

The first factor gives W = -8 in. which is nonsense because it is negative.

The second factor gives a valid answer of W = 5 in.

Plz Help!! NO LINK or REPORTED

Answers

I don’t know for sure but please let me know :)

HELP ASAP!!

Ariel is emptying the water from a 10 gallon cooler. The graph shows the
water level in the cooler as she empties it. Which best describes the rate of
change shown in the graph?

DO NOT PUT YOU FAKE FILES HERE !

Answers

Answer:

Step-by-step explanation:

The water level decreases 2 gallons every 3 seconds describes the rate of change shown in the grap

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given that Ariel is emptying the water from a 10 gallon cooler.

The graph shows the water level in the cooler as she empties it

Rate of change is change in water to change in time

(3, 8) and (0, 10) are the points from graph

Rate of change  = 10-8/0-3

=-2/3

The minus sign is showing that is is decreasing

The water level decreases 2 gallons every 3 seconds

Hence, the water level decreases 2 gallons every 3 seconds describes the rate of change shown in the graph.

To learn more on Graph click:

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Graph y = - 2x + 5 will give brainilist if correct

Answers

Answer:

Step-by-step explanation:

That's the graph. The slope is -2 and 5 means where the y intersects.

Consider the equation: X^2+16x-2=11 1) Rewrite the equation by completing the square

Answers

Answer:

[tex](x+8)^{2}[/tex] =77

x= -8 +/- [tex]\sqrt\\ 77[/tex]

From Khan Academy

decide if these are equivalent ratios by simplifying. 12/27 and 20/36​

Answers

Answer:

they are not equivalent

Step-by-step explanation:

12/27 reduces to 4/9 if you divide by 3

20/36 reduces to 5/9 if you divide by 4

4/9 ≠ 5/9

Step-by-step explanation:

Get your answer by reducing them:

12/27=4/9 ( in the table of 3)

20/36=5/9 ( in the table of 4)

hope it helps

A farmer had a total of 995 horses and cows. After selling some of the horses and cows, he had 510 horses and 390 cows left. How many horses and cows did he sell altogether?
a =
horses and cows

Answers

the farmer sold a total of 95 horses and cowshed

I need help with this!

Answers

Answer:

Step-by-step explanation:

What is the question?

Given that 3x : 8 = 9 :2 , find the value of x .

Answers

Answer:

i hope you understand this answer

[tex]3x : 8 = 9 : 2[/tex]

[tex] \frac{3x}{8} = \frac{9}{2} [/tex]

[tex]3x × 2 = 8 × 9[/tex]

[tex]3x = \frac{8 \times 9}{2} [/tex]

[tex]3x = 4 \times 9[/tex]

[tex]x = \frac{4 \times 9}{3} [/tex]

[tex]x = 4 \times 3[/tex]

[tex]x = 12[/tex]

what is the equation for the line that passes through the points (-5.5, 2.5) and (-2.5, -3.5)?​

Answers

Answer:

y=-2x-8.5

Step-by-step explanation:

y=mx+b

slope = -2

y=-2x+b

y intercept = -8.5

y = -2x-8.5

I had 3 apples. I add 2 more apples. How many apples do I have?

Answers

Answer:

5 lol

Step-by-step explanation:

Answer:

5 im so smart :)

Step-by-step explanation:

Please please please help!

Answers

Answer:

6 pounds

Step-by-step explanation:

every 16 ounces =1 pound

so 96/16 = 6

6 *1 = 6

therefour 6 pounds

Multiply the 2nd equation by -4. What value belongs in the green box?

Answers

it would be -12x, 3x(-4) = -12x.

please help!


options

A) integer

B) Real

C) Whole

D) irrational

Answers

C. Whole

#CarryOnLearning

Answer:

m

Step-by-step explanation:

Need help ASAP no fake links!!! Find the measure of angle C, and find the measure of Arc BC

Answers

Answer:

[tex]\huge \purple {\boxed { m\angle C = 47\degree}} [/tex]

[tex] \huge \red {\boxed { \widehat{BC}=96\degree}} [/tex]

Step-by-step explanation:

By inscribed angle theorem:

[tex] m\angle C = \frac{1}{2} m(\widehat{AD}) [/tex]

[tex] \therefore m\angle C = \frac{1}{2}\times 94\degree [/tex]

[tex]\huge \purple {\boxed {\therefore m\angle C = 47\degree}} [/tex]

Again by inscribed angle theorem:

[tex] m\angle A = \frac{1}{2} m(\widehat{BC}) [/tex]

[tex] \therefore 48\degree = \frac{1}{2} m(\widehat{BC}) [/tex]

[tex] \therefore 48\degree\times 2 = m(\widehat{BC}) [/tex]

[tex] \huge \red {\boxed {\therefore m(\widehat{BC}) =96\degree}} [/tex]

Sam is using the expression 8mn in class. What is the value of the expression when m = 4 a n d n = 12 ?

Answers

Answer:

8 x 4 x 12 = 384

Step-by-step explanation:

8 x 4 x 12 = 384

your answer would be 384

Step-by-step explanation:

8(4)(12)= 384

2) Find the area. Show All your work for full credit.

Answers

Answer:

35

Step-by-step explanation:

hi you would use the equation 1/2 b *h which is = to 1/2*14*5 which equals 35. Hope this helps thanks :)

Solve: 16х2 - 81 = 0. (2 points)
Ox = 4, 9
Ox= -4, -9
ООО
9
х=
О
х
81
16
16

HELP PLEASEEE

Answers

C I think I’m sorry if it’s wrong

Answer:

x=9/4,x=-9/4

Step-by-step explanation:

16x^2−81=0

Step 1: Add 81 to both sides.

16x^2−81+81=0+81

16x^2=81

Step 2: Divide both sides by 16.

16x^2/16 = 81/16

x^2 = 81/16

Step 3: Take square root.

x = ±√81/16

x=2.25,x=−2.25

Convert to fraction form.

x=9/4,x=-9/4

A bottle of cough syrup has
300 mL. If you take 5-mL
spoonfuls 3 times a day, how
many days will the cough syrup
last?

Answers

Answer:

20 days?

Step-by-step explanation:

3 times a day is 15 and 300 ÷ 15 = 20

PLSSS HELP WITH THIS IMMEDIATELY!!! i’ll give brainiest if u don’t give a link back. pls help tho and don’t skip i really need to hurry!!

Answers

Answer:

(3,5)

Step-by-step explanation:

They both start (2,2)

2+1 = 3,

2+3 = 5

(3,5)

I think 3,5, but im not sure

question on the picture

Answers

B) 48/73
hope this helps

A board game uses a fair six-sided die and a spinner with five equal-sized sections colored dark blue, green, light blue, red, and yellow. Players roll the die and then spin the spinner. Match each probability statement to its correct value. the probability of getting a 6 and any color except a shade of blue the probability of getting a 5 and a shade of blue the probability of getting an even number and a shade of blue the probability of getting at least 3 and any color except a shade of blue the probability of a getting at most 4 and yellow

Answers

The probability of getting a 6 and any color except a shade of blue is 2/15.

The probability of getting a 5 and a shade of blue is 1/30.

The probability of getting an even number and a shade of blue is 1/10.

The probability of getting at least 3 and any color except a shade of blue is 4/15.

The probability of getting at most 4 and yellow is 2/15.

We have,

The probability of getting a 6 and any color except a shade of blue:

This probability involves rolling a 6 on the die and getting any color except a shade of blue on the spinner.

Since the die has six equally likely outcomes and the spinner has four colors that are not shades of blue, the probability is (1/6) x (4/5) = 2/15.

The probability of getting a 5 and a shade of blue:

This probability involves rolling a 5 on the die and getting a shade of blue on the spinner.

Since the die has six equally likely outcomes and the spinner has one shade of blue section, the probability is (1/6) x (1/5) = 1/30.

The probability of getting an even number and a shade of blue:

This probability involves rolling an even number (2, 4, or 6) on the die and getting a shade of blue on the spinner.

Since the die has three even numbers and six equally likely outcomes, and the spinner has one shade of blue section, the probability is (3/6) x (1/5) = 1/10.

The probability of getting at least 3 and any color except a shade of blue:

This probability involves rolling a number greater than or equal to 3 on the die and getting any color except a shade of blue on the spinner.

Since the die has four outcomes (3, 4, 5, or 6) that satisfy this condition, and the spinner has four colors that are not shades of blue, the probability is (4/6) x (4/5) = 4/15.

The probability of getting at most 4 and yellow:

This probability involves rolling a number less than or equal to 4 on the die and getting yellow on the spinner.

Since the die has four outcomes (1, 2, 3, or 4) that satisfy this condition, and the spinner has one yellow section, the probability is (4/6) x (1/5) = 2/15.

Thus,

The probability of getting a 6 and any color except a shade of blue is 2/15.

The probability of getting a 5 and a shade of blue is 1/30.

The probability of getting an even number and a shade of blue is 1/10.

The probability of getting at least 3 and any color except a shade of blue is 4/15.

The probability of getting at most 4 and yellow is 2/15.

Learn more about probability here:

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Can someone help me please?

Answers

Answer:

2. 216cm3

3. 748.75

Step-by-step explanation:

Cube v=Bh

To get Base area 9cm x 4cm=36cm2

36cm2 x 6cm=216cm3

the radius of a circle is 9 meters. what is the circles area?

Answers

the rds of a c- 254.47 m2

Answer:

254.469 meters

Step-by-step explanation:

A = πr² = π · 9² ≈ 254.469

254.469 meters

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