document.write( "Question 627999: Solve the problem as directed.
\n" ); document.write( "If x varies inversely as y and directly as t, and x = 12 when t = 10 and y = 25, find y when x is 6 and t = 3.
\n" ); document.write( "y=
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Algebra.Com's Answer #395381 by mananth(16946)\"\" \"About 
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\"x%28alpha%29+%28t%2Fy%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x=+k%2A%28t%2Fy%29\" \r
\n" ); document.write( "\n" ); document.write( "x=12,t=10, y=25\r
\n" ); document.write( "\n" ); document.write( "substitute the values\r
\n" ); document.write( "\n" ); document.write( "\"12=k%2A%2810%2F25%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"12=+k%2A%282%2F5%29\"\r
\n" ); document.write( "\n" ); document.write( "multiply by 5
\n" ); document.write( "60 = 2k
\n" ); document.write( "k= 30\r
\n" ); document.write( "\n" ); document.write( "x=6, t=3 and we have found k =30\r
\n" ); document.write( "\n" ); document.write( "x= k * (t/y)
\n" ); document.write( "6=30*(3/y)
\n" ); document.write( "multiply equation by y
\n" ); document.write( "6y=90
\n" ); document.write( "y= 15\r
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