Keith is in a hot air balloon that is 200 feet above the ground and 1 is ascending I feet per second. Erica is in a hot air balloon that is 548 feet above the ground and is descending if feel per second. After how many seconds will the hot air balloons be the same number of feet above the ground?

174 seconds or 2 minutes, 54 seconds

Step-by-step explanation:

you can set up a system up equations to solve this problem:

Keith:    y = 1x + 200

Erica:    y = -1x + 548

if you graph the above lines, their point of intersection is the solution

in this case, after 174 seconds both balloons will be 374 feet above the ground

77

step-by-step explanation:

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6