Debra received a $80 gift card for a coffee store. She used it in buying some coffee that cost $7.41 per pound. After buying the coffee, she had $50.36 left on her card. How many pounds of coffee did she buy?

4 pounds

Step-by-step explanation:

First, find how much she spent. To find this, find the difference between the original amount on the card, and how much was left after she bought the coffee.

Originally: $80

After Purchasing: $50.36

Subtract the 2 numbers above

80-50.36=29.64

She spent $29.64 on coffee

Now, find how many pounds she bought. To do this, make a proportion

Each pound costs $7.41, and she bought x pounds for $29.64.

1/7.41=x/29.64

Cross multiply

7.41*x=29.64*1

7.41x=29.64

Divide both sides by 7.41

7.41x/7.41=29.64/7.41

x= 4

So, she bought 4 pounds of coffee

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