Answer:
{x,y} = {2,9}
Step-by-step explanation:
Solve equation [2] for the variable y
[2] 2y = -6x + 30
[2] y = -3x + 15
// Plug this in for variable y in equation [1]
[1] 3x + 2•(-3x+15) = 24
[1] -3x = -6
// Solve equation [1] for the variable x
[1] 3x = 6
[1] x = 2
// By now we know this much :
x = 2
y = -3x+15
// Use the x value to solve for y
y = -3(2)+15 = 9
There you go the answer key
Answer: D
Step-by-step explanation:
Formula= 2piRh +2piR^2
2pi*7*11 + 2pi*49 = 791.68 or 792
Answer:
Pool A.
Step-by-step explanation:
This can be solved through ratios. You would write it as
So,
for the first one, and
for the second. You might want to use a calculator for that part, but you could also change the gallons to cups, which gives you a much better number of 10.515. So,
, and
So, pool A is at a faster rate. If you want it in gallons per minute, it's by 0.01 (with the 1 repeating) gallons per minute. By cups, it's 0.17525 cups per minute.
(The reason I did not do this by cross multiplying and dividing ratios is because it gives you the exact same answer if you are finding it per one, as I am here with per one minute. You can do it this way, it just wastes a bit of time.)