Which is M=9pn solved for p?
A.p=M/n
B.p=M-9n
C.p=9n/M
D.p=M/9n
What is the correct answer
D. p = M/9n
To solve the equation M=9pn for p, we need to isolate the variable p on one side of the equation. Let's go through each option to see which one correctly rearranges the equation:
A. p = M/n
This is not the correct rearrangement. Dividing both sides of the equation by n will result in p = M/n^2, not p = M/n.
B. p = M-9n
This is not the correct rearrangement either. Subtracting 9n from both sides leads to p = M - 9n, not p = M/9n.
C. p = 9n/M
This is the correct rearrangement. By dividing both sides of the equation by 9n, we find p = 9n/M, which is the same as the original equation M = 9pn rewritten in terms of p.
D. p = M/9n
This is not the correct rearrangement. Dividing both sides of the equation by 9n results in p = M/(9n)^2, not p = M/9n.
Therefore, the correct answer is C.p = 9n/M.
To solve for p in the equation M=9pn, we need to isolate p on one side of the equation.
To do this, we can divide both sides of the equation by 9n:
M/9n = pn
Now, to solve for p, we can divide both sides of the equation by n:
(M/9n) / n = p
Simplifying further, we have:
M/9n^2 = p
Therefore, the correct answer is D. p = M/9n.