sqrt(36/100) = +-6/10
You find the square root of the numerator and the denominator.
You would change the denominator and get the lowest common denominator. Thos would be 30. You would do 11/6 x 5/5 = 55/30. Then do 3/5 x 6/6 = 18/30. Then add 55/30 + 18/30 = 73/30 and simplify.
Answer:
This is an inverse variation, and the constant of variation is k = 2.
Step-by-step explanation:
Direct variation is something like:
y = k*x
Where k is the constant of variation.
So as x increases also increases y.
Inverse variation is something like:
y = k/x
k is the constant of variation.
In this case, if x increases, y decreases.
Now let's look at the equation:
-10 + 15*x*y = 20
Let's isolate y in one side of the equation:
15*x*y = 20 + 10 = 30
15*x*y = 30
y = 30/(15*x) = (30/15)/x = 2/x
y = 2/x
Then we can conclude that this is an inverse variation, with a constant of variation equal to 2.
Answer:
A piece of duct measures 48 inches.
In each connection, we lost 1.72 inches (it also could be 1/2 inches, but i will go with the other option)
Then:
If we have 7 pieces of duct connected we have 5 connections (the ones in the extremes are not connected between them)
So here we have 7 times 48 inches for the pieces, minus 5 times 1.72 inches for the connections, the length is:
L = 7*48in - 5*1.72in = 327.4 inches.
for the 12 pieces duct, we have 12 pieces and 10 connections, so the length is:
L = 12*48in - 10*1.72in = 558.8 in
Now, if we want to make only one duct with those two, then we must add their lengths, but if we connect them, we also need to subtract the 1.72in of the new connection:
L = 558.8 in + 327.4 in - 1.72in = 884.48 in
Answer: You and Sarah went to the gas station to get sodas. Sarah got a Dr. Pepper and it cost $2.50. You got a Sprite and it cost $3.00. You notice Sarah is short on change and want to help her. You have a $10 Bill and are going to pay for it. How much change will you get back?
Step-by-step explanation:
