Robert runs 25 miles. His average speed is 7.4 miles per hour. He takes a break after 13.9 miles. How many more hours does he run? Show your work

Answers

Answer 1

Answer:

Answer: Robert runs for approximately 1.50 more hours after taking a break.

Step-by-step explanation:

To find out how many more hours Robert runs after taking a break, we need to determine the time it takes for him to run the remaining distance.

We know that Robert runs a total of 25 miles and his average speed is 7.4 miles per hour. To find the time it takes for him to run the entire 25 miles, we can use the formula:

Time = Distance / Speed

Time = 25 miles / 7.4 miles per hour

Time ≈ 3.38 hours

Since Robert takes a break after running 13.9 miles, we need to subtract the time it took him to run that distance from the total time.

To find the time it took him to run 13.9 miles, we can use the formula:

Time = Distance / Speed

Time = 13.9 miles / 7.4 miles per hour

Time ≈ 1.88 hours

Now, we can subtract the time for the break from the total time to find how many more hours Robert runs:

Remaining time = Total time - Time for the break

Remaining time ≈ 3.38 hours - 1.88 hours

Remaining time ≈ 1.50 hours

Therefore, Robert runs for approximately 1.50 more hours after taking a break.

Answer 2

Answer:

Answer:

1.5 hours more

Step-by-step explanation:

In order to find out how many more hours Robert runs, we need to find the total time it takes him to run 25 miles. We can do this by dividing the total distance by his average speed.

$\sf \textsf{Total time }= \frac{\textsf{Total distance }}{\textsf{ Average speed}}$

$\sf \textsf{Total time }=\frac{ 25 miles }{7.4\textsf{ miles per hour}}$

$\sf \textsf{ Total time = 3.378378378378378 hours}$

We already know that Robert takes a break after 13.9 miles. This means that he runs for:

$\sf \textsf{25 miles - 13.9 miles = 11.1 miles after his break}$

And to find out how many hours Robert runs after his break, we need to divide the distance he runs after his break by his average speed.

$\sf \textsf{Time after break } =\frac{\textsf{ Distance after break }}{\textsf{Average speed}}$

$\sf \textsf{Time after break CD call }=\frac{ 11.1 miles }{\textsf{ 7.4 miles per hour}}$

$\sf \textsf{Time after break = 1.5 hours}$

Therefore, Robert runs for 1.5 hours more after his break.

x = 5 5/6

Step-by-step explanation:

The goal in algebra is always to isolate the variable, so that its value can be determined.

Step 1: Subtract 1/6

x = 5 5/6

Step 2: Check

5 5/6 + 1/6 = 6

6 = 6 ✔

Step 3: Answer

x = 5 5/6

I'm always happy to help :)

Skate Land charges a $75 facility usage fee for a birthday party rental and $7 per person. The cake for the party has already been ordered and costs $47. The Smith family wants to spend less than $250 for the entire birthday party. Using the inequality 7p+75+47< 250, what would be the largest amount of people they could have at the party? Let p = the number of people invited.

Answers

Answer: The maximum number of people they could have at the party is 18.

Step-by-step explanation:

$250 - $75 = $175

$175 - $47 = $128

$128 / $7 = 18.28

Hope this helps:)

A) show that $n(2n + 1)(7n + 1)$ is divisible by 6 for all integers $n$.b.find all integers $n$ such that $n(2n + 1)(7n + 1)$ is divisible by 12.

Answers

Hi,

A)
$(n(2n+1)(7n+1))/(6) \n= (14n^3+9n^2+n)/(6) \n= (12n^3+6n^2)/(6) + (2n^3+3n^2+n)/(6) \n=2n^3+n^2+ (n(2n^2+3n+1))/(6) \n= 2n^3+n^2+ (n(n+1)(2n+1))/(6) \n= 2n^3+n^2+ 1^2+2^2+3^2+...+n^2\ is\ an\ integer.$

B)
Only if n=4*k or n=4*k+1 , k beeing an integer.

what is the smallest possible whole number length for the third side if the other sides are 15 and 20?

Answers

i believe 5 because you subtract 20 from 15

Find the product.
8y 3(-3y 2)

Answers

8y³(-3y²)
-24y³⁺²
-24y⁵

What is the difference of 1,289 and 943?

Answers

1289 -
943

First last number should be subtracted.
9 - 3 = 6

The second last
8 - 4 = 4

Then first number
2-9 = ?
Since it can't be divided, we have to borrow 10 from the previous number.
12-9 = 3

So the answer is,
346

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