Machine a makes 12.75 ounces of popcorn in 3 minutes. machine b makes 18 ounces of popcorn in 4 minutes. if each machine makes popcorn for 10 minutes, will there be enough popcorn for eight 9-ounce bags?

Yes, there's enough popcorn for eight 9-ounce bags

Step-by-step explanation:

we know that

Eight 9-ounce bags is equal to

so

By proportion find the amount of popcorn made by each machine

Machine A

Machine B

so

therefore

There's enough popcorn for eight 9-ounce bags

answer: 298143

step-by-step explanation:

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584