SOLUTION: I am having trouble with this problem. R varies inversely with S. If R is 40 when S is 2, find S when R is 16. B) How many digits does the smallest repeating block of the

Question 140286: I am having trouble with this problem.
R varies inversely with S. If R is 40 when S is 2, find S when R is 16.

B) How many digits does the smallest repeating block of the decimal expansion of 5/13 have?
thankyou for your time. Bill
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
R varies inversely with S. If R is 40 when S is 2,
:
You know that inverse means that R decreases when S increases
:
R = k/S
Find k using R=40 & S=2
40 = k/2
40*2 = k; multiply both sides by 2, therefore
k = 80
:
:
find S when R is 16, (we know k=80).
16 = 80/S
16S = 80; multiplied both sides by S
S =
S = 5
:
B) How many digits does the smallest repeating block of the decimal expansion of 5/13 have?
Just enter 5/13 on good calculator and look: 5/13 = .384615,384615; it would be 6 digits
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