SOLUTION: P varies directly as q and s but inversely as t and v. P is 360 when q=5, s=7, t=4, and v=6 k=______ p=______ Find P=______ when q=30, s=70, t=50, and v=60 Any help is appr

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: P varies directly as q and s but inversely as t and v. P is 360 when q=5, s=7, t=4, and v=6 k=______ p=______ Find P=______ when q=30, s=70, t=50, and v=60 Any help is appr      Log On

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Question 1085184: P varies directly as q and s but inversely as t and v.
P is 360 when q=5, s=7, t=4, and v=6
k=______
p=______ Find P=______ when q=30, s=70, t=50, and v=60
Any help is appreciated. Thank you very much for your time.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
P varies directly as q and s but inversely as t and v.
P = %28kqs%29%2F%28tv%29
P is 360 when q = 5, s = 7, t = 4, and v = 6
360 = %28k%2A5%2A7%29%2F%284%2A6%29
We can write it
%2835k%29%2F24 = 360
multiply both sides by 24
35k = 24*360
35k = 8640
k = 8640%2F35
k = 246.857
" Find P=______ when q=30, s=70, t=50, and v=60"
P = %28246.857%2A30%2A70%29%2F%2850%2A60%29
P = 518399.7%2F3000
P = 172.72