1 gallon = 16 cups. She is making 2 gallons so needs 32 total cups.
The ratio is 4:3:1
Add the ratios: 4+ 3 + 1 = 8
Divide total cups by total ratio:
32/8 =4
Now multiply that by each portion of the ratio:
Grape juice = 4 x 4 = 16 cups
Pineapple juice = 3x4 = 12 cups
Cider = 1x 4 = 4 cups
She needs 12 cups of pineapple juice.
Answer:

Step-by-step explanation:
Given rational expression is,

x - 2) 2x² + 5x - 14(2x + 9
<u>2x² - 4x</u>
9x - 14
<u>9x - 18</u>
4
Therefore,
is the answer.
Answer: 
=========================================================
Explanation:
Use the pythagorean trig identity
and plug in the fact that 
Isolating sine leads to
. I'm skipping the steps here, but let me know if you need to see them.
The result is negative because we're in quadrant 4, when y < 0 so it's when sine is negative.
Therefore,

Answer:
73.13
Step-by-step explanation:
I think this <em><u>might</u></em><em><u> </u></em>be the right answer.