On a snow day, Hunter created two snowmen in his backyard. Snowman A was built to a height of 35 inches and Snowman B was built to a height of 50
inches. The next day, the temperature increased and both snowmen began to
melt. At sunrise, Snowman A's height decrease by 4 inches per hour and
Snowman B's height decreased by 7 inches per hour. Let A represent the
height of Snowman At hours after sunrise and let B represent the height of
Snowman B t hours after sunrise. Write an equation for each situation, in
terms of t, and determine how tall each snowman is when they are the same
height.

A = 35 - 4t

B = 50 - 7t

Height = 15 inches

Step-by-step explanation:

Given that:

Height of snowman A = 35 inches

Height of snowman B = 50 inches

Height decrease of snowman A = 4 inches per hour

Height decrease of snowman B = 7 inches per hour

t = number of hours

A = 35 - 4t       Eqn 1

B = 50 - 7t       Eqn 2

At same height,

Eqn 1 = Eqn 2

35 - 4t = 50 - 7t

-4t + 7t = 50 - 35

3t = 15

Dividing both sides by 3

Putting t=5 in both equations

A = 35 - 4(5) = 35 - 20 = 15 inches

B = 50 - 7(5) = 50 - 35 = 15 inches

Hence,

A = 35 - 4t

B = 50 - 7t

Height = 15 inches

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet