Answer:

Step-by-step explanation:
Given


Required
Determine AC
Since A, B and C are collinear, then:

So, we have:

In rectangular form, we have the coordinates 
Answer:

Step-by-step explanation:
Move
to the denominator in 
using the negative exponent rule 
Answer: In the chart, put 6 in place of the question mark.
The equation should be something like w = 2/3 p
W is the number of quarts of water. P is the number of quarts of Pineapple juice.
This week they will need 3 times the previous week so 18 quarts of pineapple juice and 12 quarts of sparkling water.
Step-by-step explanation:
If the basic recipe is 2 water to 3 juice, and they used 4 quarts if water, you can see that is <u>double the amount of</u> water so you need <u>double the amount </u> of juice. 2 times 3 is 6.
<em>Unit rate</em> means for ONE quart of juice, how much sparkling water is used. that should be 1 Pineapple Juice for 2/3 Sparkling water
OR
for EACH quart of sparkling water, how much juice do you need.
that would be 1 unit of Sparkling Water for 1 1/2 units of Pineapple Juice
Use elimination method - I am eliminaing the y-variable.
1(5x + 8y = 16) → 5x + 8y = 16
4(6x - 2y = 54) → 24x - 8y = 216
Add equations: 29x = 232
Divide by 29: x = 8
Answer: x = 8