SOLUTION: The variable Z is directly proportional to X, and inversely proportional to Y. When X is 12 and Y is 4, Z has the value 57.
What is the value of Z when X = 18, and Y = 10
Algebra ->
Rational-functions
-> SOLUTION: The variable Z is directly proportional to X, and inversely proportional to Y. When X is 12 and Y is 4, Z has the value 57.
What is the value of Z when X = 18, and Y = 10
Log On
Question 982018: The variable Z is directly proportional to X, and inversely proportional to Y. When X is 12 and Y is 4, Z has the value 57.
What is the value of Z when X = 18, and Y = 10 Found 2 solutions by stanbon, MathLover1:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The variable Z is directly proportional to X, and inversely proportional to Y.
Z = k*X/Y
---------------
When X is 12 and Y is 4, Z has the value 57.
Solve for "k"
57 = k*12/4
k = 19
----------------
What is the value of Z when X = 18, and Y = 10
Z = 19*X/Y
Z = 19*18/10 = 34.2
-----------------------
Cheers,
Stan H.
----------------
You can put this solution on YOUR website! if the variable is directly proportional to and inversely proportional to , then
When and ,:
Your first sentence:
solve for :
Your second sentence indicates:
since the formula for is:
then the value of, when and , will be:
(