A hot air balloon festival, Mohammed’s balloon is at 40 feet and rises at a rate of 10 ft./min. dana’s balloon is at a height of 165 feet descends at a rate of 15 ft./min. In how many minutes will they be at the same height. What will that height be?

Step-by-step explanation:

After some number of minutes m, Mohammed's altitude will be ...

  40 +10m

and Dana's altitude will be ...

  165 -15m

The altitudes will be the same when ...

  40 +10m = 165 -15m

  25m = 125 . . . . . . . . . . . add 15m-40

  m = 5 . . . . . . . . . . . . . . . divide by 25

The height of the two balloons after 5 minutes will be 40+10·5 = 90 ft.

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are

10000000000000000000000000000000