7.) The time needed to travel a certain distance varies inversely with the rate of speed. It takes 8 hours to travel a certain distance at 36 miles per hour. a.) Write an equation to describe the situation. (Note: the variable that represents time must be on one side by itself.)

b.) How long will it take to travel the same distance at 60 miles per hour?

t=time

v=speed

t=k/v

8hr=k/36 mi/hr

k=288 mi

t=288 mi24 mi/hr =12 hours.

The distance is 288 miles by multiplying 36 by 8.

divide that by 24 mph, and it is 12 hours.

answer: 48

just remember to use pemdas:

parentheses

expressions

multiplication

division

addition

subtraction

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it