Suppose each runner ran at the rate given in the table above for 3.1 miles. How much time will elapse between the first place finisher and the last place finisher?

Answers

Answer 1

You didn't include the table but I found this table for the same statement, so I will answer you based on the next table:

Runner     distance       time

Arabella        7,299 feet        561 seconds
Bettina          3,425 yards     13 minutes, 12 seconds
Chandra       8,214 feet        0,195 hours
Divya            1,62 miles        732 seconds

To answer the question you must find the rate for each runner and then calculate the time to run 3.1 miles at each rate.

First you need to convert the data to obtain the rate in miles per second.

These are the main conversion identities:

1 mile = 5280 feet

1 mile = 1760 yards

1 hour = 3600 seconds

1 hour = 60 minutes

1 minute = 60 seconds

Arabella:

rate: 7,229 feet / 561 seconds * (1 mile / 5280 feet) =

= 0.00244 mile/second

Time to run 3.1 miles: V = d / t => t = d / V = 3.1 miles / 0.00244 mile/second = 1270 seconds

Bettina:

13 minutes + 12 seconds = 13*60 seconds +12 seconds = 792 seconds

rate = 3425 yards / 792 seconds * 1 mile / 1760 yards = 0.00246 mile/seconds

Time to run 3.1 miles = 3.1 miles / 0.00246 mile/second = 1260 seconds

Chandra:

rate = 8214 feet / 0.195 hours * 1 mile / 5280 feet * 1hour / 3600 seconds =

= 0.00222 seconds

Time = 3.1 mile / 0.00222 seconds = 0.389 hour = 1396 seconds

Divya:

rate = 1.62 miles / 732 seconds = 0.00221 seconds

Time = 3.1 mile / 0.00221 seconds = 1403 seconds

Now you can find the difference between fhe last and the first 1403 seconds - 1260 seconds = 143 seconds

That is equivalent to 2.38 seconds.

Related Questions

Factor the expression.

4d + 12

Answers

4d+12
Lets put out the 4 because it can also be pulled out of 12
4(d+3)

Shoutout to @Mdarrow01

Have an amazing day!

4d + 12 = 4(d+3)
I hope this helps

Light travels at 3.0 x 105 km/s. The sun is 1.5 x 108 km from Earth. How long does it take for the sun's light to reach Earth?

Answers

it takes 8 mins and 20 secs for light to travel to earth

Answer:

It takes 8 minutes and 20 seconds for the light to travel this distance

Step-by-step explanation:

Velocity is calculated as:

V= d/t (1)

Where d is distance and t is time. As we want to find time t we must simplify (1) for t

t= d/V (2)

We replacethe values given:

t=d/V=1.5*10^8/3.0*10^5=5*10^3 = 500 seconds

As there are 60 seconds in a minute we find

minutes = 500/60 = 50/6 = 25/3 = 8 2/3 or 8 minutes 20 seconds

What is the product of −2 1/2 and −3 1/2 ? Enter your answer as a mixed number, in simplified form, in the box.

Answers

8 3/4 is your answer in a mixed number form

the answer wouldbe -2 1/2

Ebert used to make a $22 an hour, but got a 10% raise. how much more will he make in a 40 hour work week with the raise?

Answers

Ebert would make $968 in 40 hours

A driveway is 40 yards long. About how many meters long is it?

Answers

About 45 meters... or 44.8

The answer to this is 36.576.

☺

Every 3 seconds , 4 cubic feet of water pass under the bridge. what is the unit rate?

Answers

12 would be the unit rate you mulitply 3 × 4

Greg builds a new pond which has a volume of 7.35 m3. It is 4.2 m long and 50 cm deep. What is the width of the pond?

Answers

volume = length x width x depth

50cm = 0.5 m

7.35 = 4.2 x 0.5 x X

7.35 = 2.1 x X

x = 7.35 / 2.1

x = 3.5

width = 3.5 meters

Answer: 3.5 meters

Step-by-step explanation:

Given : The volume of a new pond = [tex]7.35\ m^3[/tex]

The length of a new pond = 4.2 m

The depth of the pond = 50 cm =0.5 m

Let the width of the pond be 'w'.

The volume of cuboid is given by :_

[tex]V=l\times h\times w\\\\\Rightarrow\ 7.35=4.2\times0.5\times w\\\\\Rightarrow\ w=\dfrac{7.35}{0.5\times4.2}\Rightarrow\ w=3.5[/tex]

Hence, the width of the pond = 3.5 meters

negative 50 plus 300 minus 50 minus 100

Answers

I got 100. Here is what I did to solve it:

-50 + 300 - 50 - 100
250 - 50 - 100
200 - 100
100

Hey there!

-50 + 300 - 50 - 100 = ?
-50 + 300 = 250
250 - 50 = 200
200 - 100 = 100
Answer: 100

Good luck on your assignment and enjoy your day!

~MeIsKaitlyn:)

Please help

An animal shelter spends $5.50 per day to care for each cat and $8.00 per day to care for each dog. Angel noticed that the shelter spent $54.00 caring for cats and dogs on Monday. Angel found a record showing that there were a total of 8 cats and dogs on Monday. How many cats were at the shelter on Monday?

Answers

There were 4 cats and 4 dogs on Monday.
4 * 5.50 = 22
4 * 8 = 32
22 + 32 = 54

Solve the inequality 2 ways
Which is easier?

Answers

hope this help to answer you question.

In 8 months, 55.6 gallons were used. Find the unit rate.

Answers

6.95 gallons in 1 month

Answer:

6.95 gallons/month

Step-by-step explanation:

We are given that In 8 months, 55.6 gallons were used

Amount used in 8 months = 55.6 gallons

We are supposed to find amount used per month i.e. unit rate

So, Amount used in 8 months = 55.6 gallons

Amount used in 1 month = [tex]\frac{55.6}{8}[/tex] gallons

Amount used in 1 month = [tex]6.95[/tex] gallons

So, 6.95 gallons were used in 1 month

Hence the unit rate is 6.95 gallons/month

To which real number sets does the number −1.7 belong? Choose all answers that are correct. A. natural numbers B. whole numbers C. integers D. rational numbers

Answers

To which real number sets does the number −1.7 belong?

C. integers

the table shows the prices for different party toy packages from the Tomtown Toy Company.Which item costs the least per toy? Explain your reasoning

Answers

Answer:

Dominoes costs the least per toy.

Step-by-step explanation:

From the given table it is clear that

Cost of 6-pack of Dominoes = $3.98

Cost of 1-pack of Dominoes = [tex]\frac{\$3.98}{6}\approx \$0.663[/tex]

The cost of 1-pack of Dominoes is $0.663.

Cost of 12-pack of Peg Games = $9.99

Cost of 1-pack of Peg Games = [tex]\frac{\$9.99}{12}=\$0.8325[/tex]

The cost of 1-pack of Peg Games is $0.8325.

Cost of 24-pack of Mini Footballs = $17.98

Cost of 1-pack of Mini Footballs = [tex]\frac{\$17.98}{24}\approx $0.75[/tex]

The cost of 1-pack of Mini Footballs is $0.75.

$0.663 is less than $0.8325 and $0.75. It means dominoes costs the least per toy.

Can someone help me wit this please

Answers

i failed that sorry mk

To find median (Middle number) you would line all the numbers in numerical order (1,2,2,3,3,5,6) then you would pick the middle number which would be 3

what is the answer to
3(4x+6)+7x

Answers

3(4x + 6) + 7x
12x + 18 + 7x
19x + 18 <==

The simplified value of the given expression 3(4x+6)+7x, is 19x+18

What is an expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Mathematical expressions have only numbers and operators, while algebraic expressions have both numbers and variables in terms, separated by operators in between.

For example, 4m + 5 is an expression where 4m and 5 are the terms and m is the variable of the given expression separated by the arithmetic sign +.

Given that, is an expression 3(4x+6)+7x, we need to simplify it,

3(4x+6)+7x

By the Distributive property, multiplying by 3,

3(4x+6)+7x

= 12x+18+7x

Rearranging the terms,

= 12x+7x+18

Adding the like terms,

= 19x+18

Hence, the simplified value of the given expression 3(4x+6)+7x, is 19x+18

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Estimate each sum or difference 27.89-12.64

Answers

The answer to your problem is 15.25

The question asks us to estimate, so we need to round appropriately. After rounding, you get the expression 28 - 13, which equals 15. The answer to your question is 15. Hope this helps and have a fantastic day!

Graph y=− 4/7 x+1 .

Answers

y=mx+b so b is 1 which is the value of y when x is 0 first point is (0,1)
the based on the slope... above is y and below is x (on a fraction)
then you you 4 down (cause the - sign goes to 4 in this case.... in can go to 7 too) and 7 right (positive)
so the second point would be (7,-3)
and so on....

Start at (0,1) then go down four, right seven.

Tommy the Terrapin crawls 3 inches every 2 seconds.Sammy the snail crawls 5 inches every 3vseconds. The two pals have a race to see how long it will take to reach a fence 30 inches away .

Answers

tommy will take 10 sec and Sammy will do it in 15 sec hope this help can I get brainlist?

what is 10/4 as a mixed number

Answers

We have 4 parts in one whole when we split it into fourths; in other words, 4/4 = 1 whole. To convert 10/4 to a mixed number, we first need to find out how many wholes can fit into it. In this case, we can break 10/4 down into

[tex] \frac{4}{4}+ \frac{4}{4}+ \frac{2}{4} [/tex]

Giving us 2 wholes and 2 fourths, or 2 2/4 as a mixed number. Note that 2/4 is the same as 1/2, so we can write the simplified mixed number as 2 1/2

The fraction 10/4 written as a mixed number is 2 1/2

Given the improper fraction :

10/4

To convert to a mixed number ; divide Numerator by denominator and express the remainder as a fraction

10/4 = 2 2/4

Express in its simplest form:

2 2/4 = 2 1/2

Hence, the mixed number value is 2 1/2

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How many solutions does the following equation have ?

Answers

This problem has no solution. The answer is A. Hope I helped.

In the equation 4(y - 30) =4y + 12, the correct option is no solution. Therefore, option A is correct.

What is an equation?

Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation. For an unknown quantity represented by an unknown variable, equations are then solved to determine its value. It is clear that a statement is not even an equation if there is no "equal to" sign in it.

Let's solve the equation,

4(y - 30) =4y + 12

4y - 120 = 4y + 12

The value of 4y is got cancelled from both the sides, then the equation has no solution.

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Estimate each product 33.6 x 82.1

Answers

We can estimate by round those two different ways. 33.6 would round down to 30 and 82.1 to 80. So 30 x 80 = 2400. Or you can do 34 x 82 = 2788

Which is the best estimate of 28 × 0 . 64 28×0.64?

A. 10
B. 15
C. 21
D. 28

Answers

Answer:

It is 15.

Step-by-step explanation:

Because the actual answer between 28 x 0.64 is 17.92.

Final answer:

The closest estimate for the multiplication of 28 by 0.64, is approximately 19 and given the options, 15 would be the best choice.

Explanation:

The question is asking for the closest estimate for a multiplication problem, 28 times 0.64. We can convert the decimal 0.64 to a fraction which is approximately 2/3 (as 0.67 is closer to 0.64 than 0.5 - which would be 1/2). Hence, when multiplying 28 by 2/3, we get approximately 19.

Looking at the options given, 19 is not there. So, we select the nearest option to 19 which, in this case, it would be option B. 15.

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after driving 117 km 3/5 of a trip is completed how long is the total trip how many more kilometers must be driven to complete the trip simplify your answer

Answers

the trip will be completed after 195 km

If g(x)= 2x-1, and h(x)= square root of x, find (goh)(9)

Answers

(goh) = 2(x^1/2)-1
(goh)(9) = 2(9^1/2)-1
= 2(3)-1
= 6-1
= 5
(goh)(9) = 5

Answer:

The [tex](goh)(9)=5[/tex]

Step-by-step explanation:

We need to find out the [tex](goh)(9)[/tex]

Given:- [tex]g(x)=2x-1[/tex] and [tex]h(x)=\sqrt{x}[/tex]

First we need to find out the composition of (gof)(x)

Replace x in function g(x) with h(x) as;

[tex](goh)(x)=2(h(x))-1[/tex]

[tex](goh)(x)=2(\sqrt{x})-1[/tex]

Now put x=9 , in above to get the [tex](goh)(9)[/tex]

[tex](goh)(9)=2(\sqrt{9})-1[/tex]

[tex](goh)(9)=2(3)-1[/tex]

[tex](goh)(9)=6-1[/tex]

[tex](goh)(9)=5[/tex]

Therefore, [tex](goh)(9)=5[/tex]

What is the probability of guessing 3 questions correctly in a row (on a five-choice test)? A) .005 B) .16 C) .008 D) .2

Answers

I think it’s D
((: hope this helps

Convert 4500 feet per second to miles per hour.

5280 ft = 1 mi

Round to the nearest hundredth.

Enter your answer in the box.

Answers

its 400 mph 300 is the answer but if u round it its 400

If you round it, the answer is 300.

Hope this helps.

sales tax is calculated as a percentage of sales price. if sales tax is 6%, what is
the sales tax on clothing that cost $180?

Answers

$10.80 is the sales tax for clothes that are $180

The sales tax on clothing that costs $180 with a sales tax rate of 6% would be $10.80.

We have,

To calculate the sales tax on clothing that costs $180 with a sales tax rate of 6%, you can use the following formula:

Sales Tax = (Sales Price) x (Tax Rate)

Substituting the given values:

6% = 6/100 = 0,06

So,

Sales Tax = $180 x 0.06

Calculating the result:

Sales Tax = $10.80

Therefore,

The sales tax on clothing that costs $180 with a sales tax rate of 6% would be $10.80.

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Prove that ax+by+c=0 represent the eqn of straight line

Answers

If we rewrite it as y=mx+d (which can be taken from here from subtracting ax and c from both sides, then dividing b, resulting in y=(-a/b)(x)-c/b. We can then substitute -a/b for m and -c/b for d), if d=0, then we have m as a constant and as we add a specific number to y (that number being m) every time the x value increases by 1, it therefore forms a straight line. If d is not 0, then we simply add d to every single number - this is still a straight line due to that we still add a specific number to y every time x increases by 1 every single time

What is 60% out of 20

Answers

it is 20% because it is 20 out of 60%

I hope this helps you out

48 oz 1/2 gallon 3 1/2 pints 10 3/4 cups 2 1/4 quarts sort from least to greatest

Answers

1/2 gallon = 64 ounces

3 1/2 pints = 56 ounces

10 3/4 cups = 28.4 ounces

2 1/4 quarts = 72 ounces

so least to greatest:

10 3/4 cups, 48 oz., 3 1/2 pints, 1/2 gallon, 2 1/4 quarts

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