PLSSS HELP AND SHOW WORK PLEASE! *Ms. Wilson ate 1/4 of a pizza in 12 minutes.*

1. If the pizza has 8 slices, how many slices will she eat in 18 minutes?

2. What fraction of the pizza will she eat in 30 minutes?

Problem 1

Explanation:

1/4 = 0.25

She eats 25% of a pizza in 12 minutes

We can form the ratio 0.25/12

This ratio is then set equal to x/18. The value of x represents what proportion of the pizza is eaten after 18 minutes.

Solve for x

0.25/12 = x/18

0.25*18 = 12x cross multiply

4.5 = 12x

12x = 4.5

x = 4.5/12

x = 0.375

x = 375/1000

x = (125*3)/(125*8)

x = 3/8

She ate 3/8 of the whole pizza in 18 minutes.

There are 8 slices in a full pizza, so (3/8)*8 = 3 means that she ate 3 slices.

Or you could say "eating 3 slices out of 8 total means she ate 3/8 of the full pizza".

Problem 2

Explanation:

We'll use the same idea as before. Though now we're setting 0.25/12 equal to x/30

Solving for x leads to...

0.25/12 = x/30

0.25*30 = 12x

7.5 = 12x

12x = 7.5

x = 7.5/12

x = 0.625

x = 625/1000

x = (125*5)/(125*8)

x = 5/8

She will eat 5/8 of the pizza in 30 minutes.

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

(23*2)-12=x     x=34

step-by-step explanation: