SOLUTION: p varies directly with q and inversely with r when p =2 ,q=10,r=25 a. the fourmular connecting p q and r b.p when q=6 and r =9 c.q when p =4 and r=1/8

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Question 1160197: p varies directly with q and inversely with r when p =2 ,q=10,r=25

a. the fourmular connecting p q and r
b.p when q=6 and r =9
c.q when p =4 and r=1/8
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

p+varies directly with q and inversely with r
a. the formula connecting p, q ,and r
p=kq%2Fr.... for some constant k
use given: +p+=2 ,q=10,r=25 to calculate the constant k
2=k%2A%2810%2F25%29
2%2F%2810%2F25%29=k
1%2F%285%2F25%29=k
25%2F5=k
k=5
so, your formula is:
p=5q%2Fr

b.
p when q=6 and r+=9
p=5%286%2F9%29
p=5%282%2F3%29
p=10%2F3

c.
q when p+=4 and r=1%2F8
4=5q%2F%281%2F8%29
4%281%2F8%29=5q
%281%2F2%29=5q
q=%281%2F2%29%2F5
q=1%2F10