Given:
Elise is making punch for the party that requires 2 parts of fruit juice for every 5 parts of ginger ale.
To make the punch, she uses 18 ounces of fruit juice and 3 containers of ginger ale.
To find:
The number of ounces in each container of ginger ale.
Solution:
Let n be the number of ounces in each container of ginger ale.
According to the question, the ratio of fruit juice and ginger ale is 2:5. it means,




Divide both sides by 2.

So, ginger required for punch is 45 ounces.
Number of containers = 3
Number of ounces in each container of ginger ale = n
Number of ounces in 3 containers of ginger ale = 3n
Now,

Divide both sides by 3.

Therefore, 15 ounces are in each container of ginger ale.
Answer:
D
Step-by-step explanation:
If sinθ = -2/3, the hypotenuse is 3. Therefore, the answer is either C or D. Then, use the pythagorean theorem to determine the value of the last leg. And the answer is D
Answer:
(2,0) - x -intercept
(0, 1.5) - y-intercept
Step-by-step explanation:
The slope of the points can be found by writing a ratio of vertical change to horizontal change. It can be found in the table by subtracting y values from each other and subtracting x values from each other. The y values decrease by 3 each time or -6 - -3 = -6 + 3 = -3.
The x values increase by 4.
So the rate of change is -3/4.
This means if you go backwards on the table the previous point would be (2, 0). This is the x-intercept.
To find the y-intercept, you must go further back. Going back 2 more units would make the table appear as:
x y
-2 3
0 ???
2 0
6 -3
10 -6
14 -9
Since the y values decrease by 3 each time and we went back half the usual amount, then the value would be 1.5.
Answer:
Step-by-step explanation:
F(x+h)-f(x)
F×x=fx
F×h=fh
F×x=fx
Fx+fh-fx
Fx-fx+fh
=fh