Answer: 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:
No, because if you add it up all together her recipe does not call for 20 cups.
Answer:
the graph will start at y1 and go down 1 and right 2 for every point.
Step-by-step explanation: since the x is negative you know that the graph is going to be negative so from left to right it will be going from top to bottom. next you look at the 1/2 which just states that every point on that line will will be 1 down and two right from the previous point. now you look at the +1 which just says that the graph will cross the y axis a 1.
Answer:
D. 
Step-by-step explanation:
To rewrite a mixed number as an improper fraction, first, multiply the whole number by the denominator.
Then, add this number to the numerator.
This number is now the numerator of the fraction. The denominator stays the same.
I hope this helps!
Step-by-step explanation:
with your square root symbol I never know what is inside the square root and what is possibly outside.
so, I can only guess and see what comes close.
f(x) = 2x² + x - 1
g(x) = sqrt(2x - 1) ??? is that so ?
h(x) = -2
2g(f(x)) + h(x)
g(f(x)) means that the whole f(x) expression is used as x in g(x).
the whole combined function is then
2×sqrt(2(2x² + x - 1) - 1) - 2
2×sqrt(4x² + 2x - 2 - 1) - 2
2×sqrt(4x² + 2x - 3) - 2
and if I am not mistaken, then this is the solution you mentioned at the beginning (if I try to read between the typos and missing info).
this is how people get to this.
do you understand it now ? or is there still something unclear ?
