Factory a can produce 45 machines in 20 minutes. factory b can produce 30 machines in 15 minutes. if both factories produce machines for 2 hours, which factory will produce more machines? how many more machines will be produced?

Factory A produces 30 more machines than factory B.

Step-by-step explanation:

The data that we have is:

Factory A produces 45 machines in 20 minutes, this is 45/20 machines per minute = 2.25 machines per minute

Factory B produces 30 machines in 15 minutes, this is 30/15 machines per minute = 2 machines per minute.

then, if both factories work for two hours (2 hours is equal to 120 minutes)

we have that factory A produces:

N = (2.25 machines per minute)*120 mins = 270 machines

and factory B produces:

M = (2 machines per minute)*120 mins = 240 machines

So factory A produce 270 - 240 = 30 more machines

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb