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? Explain.

Machine A makes popcorn at a rate of 4.25 ozs per minute (12.75oz/3min).

Machine B makes popcorn at a rate of 4.5 ozs per minute (18oz/4min).

Machine A will make 4.25oz/min * 10minutes = 42.5oz of popcorn after 10 minutes

Machine B will make 4.5oz/min * 10 minutes = 45oz of popcorn after 10 minutes

After 10 minutes there will be a total of 42.5oz (Machine A) +45oz (Machine B) = 87.5oz.

So the answer is: Yes there will be (more than) enough popcorn if both machines make popcorn for 10 minutes.  

If the question is wondering how many 9oz bags they can fill: 87.5oz/9oz per bag = 9.7222 bags. The machines can fill 9, 9oz, bags with some popcorn leftover.

Step-by-step explanation:

Machine A makes popcorn at a rate of 4.25 ozs per minute (12.75oz/3min).

Machine B makes popcorn at a rate of 4.5 ozs per minute (18oz/4min).

Machine A will make 4.25oz/min * 10minutes = 42.5oz of popcorn after 10 minutes

Machine B will make 4.5oz/min * 10 minutes = 45oz of popcorn after 10 minutes

After 10 minutes there will be a total of 42.5oz (Machine A) +45oz (Machine B) = 87.5oz.

So the answer is: Yes there will be (more than) enough popcorn if both machines make popcorn for 10 minutes.  

If the question is wondering how many 9oz bags they can fill: 87.5oz/9oz per bag = 9.7222 bags. The machines can fill 9, 9oz, bags with some popcorn leftover.

Yes

Step-by-step explanation:

Divide 12.75 by 3 to get the amount Machine A makes in 1 minute, 4.25 ounces.

Divide 18 by 4 to get the amount Machine B makes in 1 minute, 4.5 ounces

Multiply 4.25 by 10 for a total from Machine A, 42.5 ounces.

Multiply 4.5 by 10 for a total from Machine B, 45 ounces.

Add 42.5 to 45 totalling 87.5

Eight 9-ounce bags require 72 ounces of popcorn. So if both Machines made a total of 87.5 ounces they would have enough popcorn.

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