Question

who can help me with math!

Answer 1

A plane can fly 11 miles per minute. The plane will fly 6 trips, and each trip is 500 miles. How many hours will the plane fly? Show your work to receive full credit. (10 points)

Answer 2

@Vocaloid @Ultrilliam @ThisGirlPretty @theDeviliscoming

Answer 3

@Elsa213

Answer 4

Voca

Answer 5

Since the question is asking "How many hours will the plane fly," convert 11miles per minute into x miles per hour.

Answer 6

You do that by the following expression

\[\frac{ 11miles }{ minute } \times \frac{ 60minutes }{ hour } = \frac{ 660miles }{ hour }\]

Answer 7

Minutes cancel out, giving you hours.

Now we have the speed of the plane. Now lets figure out the total distance traveled.
There are 6 trips, with each trip being 500 miles each.

Total distance traveled = 6 x 500 = 3000miles

Answer 8

Now that we have the speed of the plane, and the total distance traveled, do you have an idea of how we would get the time it took for the plane to travel that distance? @cookiemonster

Answer 9

Well, for this, we can utilize an image. It illustrates the following formulas.

In order to find distance, put speed besides time

\[Distance = Speed \times Time\]

To find speed, put distance over time

\[Speed = \frac{ Distance }{ Time }\]

To find time, put distance over speed

\[Time = \frac{ Distance }{ Speed }\]

Answer 10

Here, we want to solve for time, so we put distance over speed.

Let T = time

\[T = \frac{ 3000miles }{ 660miles/hour } \]

\[T = \frac{ 3000miles }{ 1 } \times \frac{ hour }{ 660miles }\]

\[T = \frac{ 3000hours }{ 660 }\]

\[T = 4.5hours\]

Answer 11

You actually get the fraction 50/11, but I do not know what your teachers policy is for decimal places, so I went by sig figures.

Answer 12

@cookiemonster Let me know if you need help understanding anything.

Answer 13

ok i get it! let me see hold on

Answer 14

Ok