On a 1 mile track, Runner A has made 6 laps in the time it took runner B to make 2 laps. If Runner A is running 8 mph faster than Runner B, how fast is each of them running?

Answers

Answer 1

9514 1404 393

Answer:

A: 12 mphB: 4 mph

Step-by-step explanation:

The ratio of speeds is ...

  A speed : B speed = 6 : 2

The difference is 6-2 = 4 ratio units, which corresponds to a difference of 8 mph. Then each ratio unit stands for 8/4 = 2 mph.

The ratio of speeds is then ...

  A speed : B speed = 6 : 2 = 12 mph : 4 mph

Runner A is running 12 mph; runner B is running 4 mph.


Related Questions

What is the distance between points (6, 9) and (6, −9) on a coordinate plane?

Enter your answer in the box.

Answers

Answer:

18

Step-by-step explanation:

If you go to (6, -9) and count up to (6, 9) it is exactly 18 points.

Answer:

It should be 18 units (IT MIGHT) if you count from positive 9 down to negative 9 its gonna be 18 units.

Streck
If Michael paid $48 for 8 books, how much did he pay for 1 book?

Answers

Answer:

$6

Step-by-step explanation:

if you divide 48 by the 8 books you will get the answer for how much he spent on just one

Find the dimensions of a cylinder of volume 17 m3 of minimal cost if the top and bottom are made of material that costs twice as much as the material for the side.

Answers

Answer:

The answer is below

Step-by-step explanation:

The volume of the cylinder with radius (r) and height (h) is given as:

Volume = πr²h

17 = πr²h

h = 17 / πr²

Let k represent the cost of the side and 2k the cost of the bottom.

The area of the side = 2πrh, hence the cost of the side = k(2πrh)

The area of the top and bottom = 2πr², hence the cost of the top and bottom = 2k(2πr²)

The total cost (T) = cost of side + cost of the top and bottom

T = k(2πrh) + 2k(2πr²)

T = 2kπ(rh + 2r²)

Put h = 17/πr²

T = 2kπ (r×17/πr² + 2r²)

T = 2kπ(17/πr + 2r²)

The minimal cost is at dT/dr = 0

[tex]\frac{dT}{dr} =0=\frac{d}{dr} [2k\pi(\frac{17}{\pi r} +2r^2)]\\\\4r-\frac{17}{\pi r^2} =0\\\\4r=\frac{17}{\pi r^2}\\\\r^3=\frac{17}{4\pi }=1.35\\\\r=\sqrt[3]{1.35}\\\\r=1.1\ m\\\\h=\frac{17}{\pi r^2} =\frac{17}{\pi (1.1)^2} \\\\h=4.42\ m[/tex]

2 times what equals 2/3

Answers

Answer: 1/3

Step-by-step explanation:

2 times 1/3 equals 2/3.
You can divide 2/3 by 2, which is the same as multiplying by 1/2
2/3 x 1/2 = 2/6 = 1/3

How long is 10% of a 2,000 kilometer trip

Answers

Answer:

200 kilometers

Step-by-step explanation:

10% is the same thing as 1/10 and 2000x1/10 is 200

Whoever does will get brainiest. And extra points
A person can walk at a rate of 2 ½ miles per hour. How long would it take the person to walk 10 miles? *
1 point
15 minutes
4 hours
10 hours
25 hours
2. A certain map uses a scale of 1 inch equals 25 miles. How many miles are represented by 5 inches on this map? *
1 point
5
25
50
125
3. A company makes 5 blue cars for every 3 white cars it makes. If the company makes 15 white cars in one day, how many blue cars will it make? *
1 point
9
13
17
25
4. Miranda enlarged a picture proportionally. Her original picture is 4cm wide and 6 cm long. If the new, larger picture is 10 cm wide, what is its length? *
1 point
8 cm
12 cm
15 cm
20 cm
5. The practice range at a golf course charges $4.00 for a bucket of 40 golf balls. At this rate, how much will a bucket of 100 golf balls cost? *
1 point
$10.00
$10.50
$13.50
$16.00
6. A model of a park was built on a scale of 1.5 cm to 50 m. If the distance between two trees in the park is 150m, what is this distance on the model? *
1 point
0.5 cm
4.5 cm
75 cm
225 cm
7. Jerry read a 200 page book in 10 hours. At that rate, how long will it take him to read a 320 page book? *
1 point
16 hours
18 hours
24 hours
32 hours

Answers

1.) 4hours 2.) 125 3.) 25 4.) 12cm 5.) $10.00 6.) 4.5 cm 7.) 16 hours

How do you do these questions?

Answers

Part (a)

The equilibrium price occurs at the intersection of the supply and demand curves. See the diagram below to see how this looks. Ignore the red line and green lines for now. Those will apply for part (b).

If the price was below equilibrium, then we would have a shortage and it would lead to a pressure to push prices upward. If the price was below equilibrium, then there would be a surplus or oversupply, leading to a downward pressure in prices. So inevitably the price lands on the equilibrium if given enough time and there are no external forces acting on the market.

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

Part (b)

Let's say we have two people labeled person A and person B. If person A gets a higher education, while person B does not, then person A is likely to earn more money. Person B will see this and want to may want to earn more money as well, so that makes their demand for higher education go up.  While of course this rule doesn't work for everyone, in general we'll have enough people to effectively push the demand curve to the right while the supply curve remains where it is. Check out the diagram below to see what I mean.

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

Part (c)

Refer to the diagram in part (b). We have a new demand curve which intersects the supply curve to produce a new equilibrium point with price P1 and quantity Q1. So effectively the tuition has gone up due to higher demand.

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

Part (d)

If a government provides a subsidy, then this would lower the cost of education to provide people with more opportunities to improve their earning potential. The subsidy would provide a portion of the tuition which gives the illusion of the tuition price being lowered. In a way it's like getting a grant from the government to then pay that money toward your tuition.

please give answer and show your work!! will give brainliest to correct answer w/ work if there are two or more answers!!

Answers

Answer:

The package contains 3 t-shirts and costs $18.75

$18.75/3 = unit price

Unit price = 6.25$

So, the correct answer is A.

What is the slope of the line through -1,-7 and 3,9

Answers

Answer:

The slope is 4

Step-by-step explanation:

You can find the point by doing

9+7

____

3+1

which equals 16/4 = 4

the slope is 4

The slope is 4. Slope formula : y2-y1 / x2-x1

Victoria spent one half of her birthday money on clothes. She received another $25 a week later. How much money did she get for her birthday if she ended up with $70?

Answers

Answer:

$90

Step-by-step explanation:

70-25 = 45

45x2 = 90

For the layer you selected, the temperature ranges from the temperature at Earth's surface, _______, to _______. (1 point)

Answers

25°C to  45°C

Step-by-step explanation:

Which statement correctly describes the relationship represented by the graph?
A.
The relationship is linear and proportional.

B.
The relationship is linear and non-proportional.

C.
The relationship is non-linear and proportional.

D.
The relationship is non-linear and non-proportional.

Answers

Answer: A

Step-by-step explanation: The line is linear as it changes at a constant rate which means it’s also proportional as proportional means as x changed so does y.

For Normal distribution with mean u 400
and standard deviation o = 100 find probability
that x is less than 535: P(x < 535)

Answers

Answer:

Step-by-step explanation:

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

 

Where  and

We are interested on this probability

And the best way to solve this problem is using the normal standard distribution and the z score given by:

If we apply this formula to our probability we got this:

And we can find this probability using the normal standard table or exce:

answer

math help please!!

Zach needs 5% cups of sugar to make cookies. He needs an additional 1% cup for
bread. Find the total amount of sugar that Zach needs.

Answers

Step-by-step explanation:

Zach needs 3 cups of sugar

what is 10-9x24÷8x6


Answers

Answer:-152

Step-by-step explanation:

write an expression that is equivalent to 2/3 (4x + 9)

Answers

Answer:

8x/3 + 6

Step-by-step explanation:

i need help pls i cant understand my math hw​

Answers

Answer:

Ok

Step-by-step explanation:

So what are we magically supposed to know what the equation is

Answer:

uh

Step-by-step explanation:

for us to help please write the question you are stuck on

A Salesman earns 8% commission on all the merchendise that he sells. Last month he sold $4000 worth of merchandise. How much commission ( in dollars) did he earn last month?

Answers

Answer:

$320

Step-by-step explanation:

For this question, you just need to find 8% of $4000.

1. Convert 8% to a decimal. 8% = 0.08

2. Multiply. 0.08 ($4000) = $320

What is the sum of the interior angles of a polygon that has 10 sides?

Answers

Answer:

Hope this helps :D

So, the sum of the interior angles of a decagon is 1440 degrees. All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the angles, we know that the sum of all the angles is 1440 degrees (from above)... And there are ten angles

Answer:

I think the answer is 1440

Step-by-step explanation:

A polygon with 10 sides a decagon ,and the sum of the interior angles is 1440 degrees.

how to get beter at maths

Answers

Try to understand the problem and take everything step by step

Answer:       to get better in math:-

i) listen to the math class properly

ii) practice the math works thoroughly

iii) do homeworks on time

iv) if there is any doubt still feel free to ask to the teacher

v) do revision of the taken chapters once in month

vi) If u can attend tuition classes then attend them

doing these steps I'm sure u can be better in math.

Hope it helped u, pls mark this as brainliest and put thanks for the ans

Hardest question ever what is 2 + fish =

Answers

1 fish 2 fish red fish blue fish

Identify the following numerical values:
The average height of 10 plants grown with rain water in a study of the effects of all
plants grown with rain water.

Answers

Answer:

THE CORRECT ANSWER IS STATISTIC

Step-by-step explananation:

I TRUSTED THE DUDE WHO SAID PARAMETER AND I GOT THE QUESTION WRONG

edit: im pretty sure the answer that said parameter was deleted. Nice!

If H(x) = [tex]\sqrt{r(x)}[/tex],
and r(3) = 9,
and r'(3) = -1,
What is H'(3)?

I used the chain rule but for some reason I'm still getting the wrong answer.

Answers

You should find the answer from the answers you wrote

Step-by-step explanation:

u should find the x from the answers you wrote like the r'(3) = -1

then from this answer u should think about the h'(3)' answer

Need help desperately, I dont want to fail. please answer​

Answers

pretty sure it’s (2, -2)

I NEED HELP PLEASE HELP ME

Answers

Answer:

Step-by-step explanation:

the rock has changed color due to weathering.

just by looking at it, you cant tell for sure making it an inference.

Answer:

4. the rock has changed colour due to weathering

Step-by-step explanation:

the rock's colour has changed as a result of interference

Quadratic applications??

Answers

Answer:

Step-by-step explanation:

2 l + 2w = 34 ⇔ l + w = 17 ⇒ l = 17 - w ..... (1)

l w = 66 ..... (2)

(1) ----> (2)

(17 - w) w = 66

w² - 17w + 66 = 0 ⇔ (w - 6)(w - 11) = 0

w = 6 cm

l = 11 cm


Which graph shows a function whose inverse is also a function?

Answers

Answer:

the one that i take a screen shot

Answer:

the right answer is C

Step-by-step explanation:

edge2020

Which is a way to break up the irregular figure into shapes that you have area formulas for?
A pentagon is broken into a triangle and a trapezoid.
A pentagon is broken into a triangle and a rectangle.
A pentagon is broken into a triangle and a trapezoid.
A pentagon is broken into 2 trapezoids.

Answers

Answer:

1 parallelogram and 1 rectangle

Step-by-step explanation:

its right ;) edge 2022

Answer:

D.

Step-by-step explanation:

Hope this helps you <3

What is the slope of the line through
(

5
,

10
)
(−5,−10)left parenthesis, minus, 5, comma, minus, 10, right parenthesis and
(

1
,
5
)
(−1,5)left parenthesis, minus, 1, comma, 5, right parenthesis?


tysm

Answers

Answer: y=15/4x+35/4

Step-by-step explanation:

Mrs. Yin bought 0.81 of a pound of turkey and 0.69 of a pound of chicken. Did Mrs. Yin buy more turkey or more chicken? Show how you know.

Answers

Mrs. Yin bought more turkey than chicken. I know because 0.80 is greater than 0.69
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