The students put recycling bins for cans for bottles in the cafeteria in the teachers lounge. They split them easily into 3 bags how many pounds were in each bag

There were 16.3 pounds in each of the bags

Step-by-step explanation:

The complete question is as follows;

The students put recycling bins for cans and bottles in the cafeteria and teachers lounge. At the end of last week, there was a total of 48.9 pounds of cans and bottles. They split them evenly into 3 bags. How many pounds were in each bag?

Solution;

This is a straightforward question that borders on one of the arithmetic operations which is division.

To properly understand this question, we can reframe it to mean if you have three bags containing cans and bottles with a total weight of 48.9 pounds, what is the weight of each bag if they have the same weight?

we can see we have succeeded in making the question look simpler while meaning the same thing.

To get the weight of each of the bags, what we simply do is to divide the total weight of the bags by 3

Mathematically that would be 48.9/3 = 16.3

This means that each of the bags weigh 16.3 lbs

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