Susie is a fast-food worker that made 28 cheeseburgers in 4 hours. a couple of days later, she made 42 cheeseburgers at the same ratio. Write an equation that represents the situation. How many hours did it take her to make 42 cheeseburgers?

It took her 6 hours

Step-by-step explanation:

28 burgers in 4 hours means 7 burgers per hour

^To do this divide 28/4 by 4/4 which equals 7/1

To find how long it took her to make 42 burgers, you must multiply both the numerator and denominator by 6(since 7*6=42)

So, 42/1 divided by 7/1 equals 6 hours

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

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2