document.write( "Question 923884: a tank can be filled in 3 hours with a pipe.It can be filled in 5 hours with another pipe and it can be drained (if full) in 7 hrs by an emergency valve.How many hours will it take to fill the tank if both the pipes and the emergency valve are opened simultaneously?\r
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document.write( "a)4.32
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document.write( "b)3.52
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document.write( "c)2.56
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document.write( "D)none \n" );
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Algebra.Com's Answer #560431 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! rate = v/t \n" ); document.write( "--- \n" ); document.write( "x = pipe-1 rate = v/3 \n" ); document.write( "y = pipe-2 rate = v/5 \n" ); document.write( "z = drain rate = v/7 \n" ); document.write( "--- \n" ); document.write( "x + y + z = v/3 + v/5 - v/7 \n" ); document.write( "x + y + z = 5*7v/3*5*7 + 3*7v/3*5*7 - 3*5v/3*5*7 \n" ); document.write( "x + y + z = 35v/105 + 21v/105 - 15v/105 \n" ); document.write( "x + y + z = 41v/105 \n" ); document.write( "x + y + z = (41/41)v/(105/41) \n" ); document.write( "x + y + z = v/(105/41) \n" ); document.write( "x + y + z = rate = v/t = v/(105/41) \n" ); document.write( "--- \n" ); document.write( "t = 105/41 \n" ); document.write( "t = 2.561 hours \n" ); document.write( "--- \n" ); document.write( "answer: \n" ); document.write( "c)2.56 \n" ); document.write( "--- \n" ); document.write( "Solve and graph linear equations: \n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve quadratic equations, quadratic formula: \n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php \n" ); document.write( "--- \n" ); document.write( "Convert fractions, decimals, and percents: \n" ); document.write( "https://sooeet.com/math/fraction-decimal-percent.php \n" ); document.write( "--- \n" ); document.write( "Calculate and graph the linear regression of any data set: \n" ); document.write( "https://sooeet.com/math/linear-regression.php \n" ); document.write( " \n" ); document.write( " |