document.write( "Question 140286: I am having trouble with this problem.\r
\n" ); document.write( "\n" ); document.write( "R varies inversely with S. If R is 40 when S is 2, find S when R is 16.\r
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\n" ); document.write( "\n" ); document.write( "B) How many digits does the smallest repeating block of the decimal expansion of 5/13 have? \r
\n" ); document.write( "\n" ); document.write( "thankyou for your time. Bill \n" ); document.write( "
Algebra.Com's Answer #102211 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
R varies inversely with S. If R is 40 when S is 2,
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\n" ); document.write( "You know that inverse means that R decreases when S increases
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\n" ); document.write( "R = k/S
\n" ); document.write( "Find k using R=40 & S=2
\n" ); document.write( "40 = k/2
\n" ); document.write( "40*2 = k; multiply both sides by 2, therefore
\n" ); document.write( "k = 80
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\n" ); document.write( "find S when R is 16, (we know k=80).
\n" ); document.write( "16 = 80/S
\n" ); document.write( "16S = 80; multiplied both sides by S
\n" ); document.write( "S = \"80%2F16\"
\n" ); document.write( "S = 5
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\n" ); document.write( "B) How many digits does the smallest repeating block of the decimal expansion of 5/13 have?
\n" ); document.write( "Just enter 5/13 on good calculator and look: 5/13 = .384615,384615; it would be 6 digits \n" ); document.write( "
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