A small plane flies 760,320 yards in 2 hours. Use the formula d = rt, where d represents distance, r represents rate, and t represents time, to answer the following questions. Show your work. Part A: Rearrange the distance formula, d = rt, to solve for rate. (2 points) Part B: Find the plane's rate in yards per hour. (3 points) Part C: Find the plane's rate in miles per hour. (3 points) Part D: Which unit, yards, or miles, makes more sense to use in this scenario, and why? (2 points) Please explain in steps

See below.

Step-by-step explanation:

So we know that a small plane flies 760,320 yards in 2 hours.

A)

The distance formula is:

To solve for the rate r, divide both sides by t:

B)

To find the rate in yards per hour, divide the amount of yards traveled by the amount of hours it took. Thus:

Divide:

So, the plane travels at a rate of 380,160 yards per hour.

C)

There are 1,760 yards in a mile.

To find the plane's rate in mile per hour, we can use dimensional analysis.

First, we know that the rate is 380,160 yards per hour:

We want to cancel out "yards" in the numerator. Thus, let's multiply by 1 mi over 1,760 yards. Thus:

The yards will cancel:

Multiply straight across:

Divide:

So, the plane's rate is 216 miles per hour.

D)

Miles make more sense in this scenario. This is because the distance covered is too vast to be appropriately conveyed using yards. 380,160 yards per hour is simply too much, while 216 miles per hour is much easier to comprehend.

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

just take the area of the square and then the area of the circle then subtract the circle area from the squares area

step-by-step explanation: