Answer:
C.
15 votes
Step-by-step explanation:
B= votes Billy got
K = votes Keeton got
B = 3K
B+K =20
Substitute the first equation into the second equation
3K + K =20
Combine like terms
4K =20
Divide both sides by 4
4K/4 = 20/4
K =5
Keeton got 5 votes
B = 3*K
B = 3*5
B = 15 votes
Billy got 15 votes
F(x) = 8 - 10x
g(x) = 5x + 4
Finding (fg)(-2).
First let us find fg(x), this is the same as f(g(x))
f(g(x))
f(5x + 4)
Recall, f(x) = 8 - 10x, therefore f(5x + 4) would be such that anywhere we see x in the f(x), we replace it with 5x + 4
f(x) = 8 - 10x
f(5x +4) = 8 - 10(5x + 4)
= 8 - 50x - 40
= -50x + 8 - 40
= -50x - 32
f(g(x)) = fg(x) = -50x - 32
fg(-2) = -50*(-2) - 32 = 100 - 32 = 68
Therefore fg(-2) = 68
I hope this helped.
(40 seconds) / (2000 rotations) =
(40/2000) (seconds) / (rotation) = 0.02 second per rotation
120 people who all need 1 drink, so if each drink needs .5 cups of concentrate you will do 120d × 0.5 = 60 total cups of concentrate. if you then set up a fraction, you could cross multiply to get the answer, but I cant do fractions here so I'll say this: if every 5 cups of concentrate gives 19 cups of water, then you divide 60 cups by 5 cups to see how many "batches" of this recipie you will need, you get 12 batches, so 12 x 19 (cups of water per batch) to get 218 ( I think, check my math with a calculator
