document.write( "Question 749386: Plz some1 help me to solve this problem:\r
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document.write( "An 8 litre cylinder contains a mixture of oxygen
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document.write( "and nitrogen, the volume of oxygen being 16% of
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document.write( "the total volume. A few litres of the mixture is
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document.write( "released and an equal amount of nitrogen is added.
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document.write( "Then the same amount of the mixture as before is
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document.write( "released and replaced by nitrogen for the second
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document.write( "time. As a result, the oxygen content becomes 9% of
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document.write( "the total volume. How many litres of mixture is
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document.write( "released each time?
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Algebra.Com's Answer #456017 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! An 8 litre cylinder contains a mixture of oxygen \n" ); document.write( "and nitrogen, the volume of oxygen being 16% of \n" ); document.write( "the total volume. A few litres of the mixture is \n" ); document.write( "released and an equal amount of nitrogen is added. \n" ); document.write( "Then the same amount of the mixture as before is \n" ); document.write( "released and replaced by nitrogen for the second \n" ); document.write( "time. As a result, the oxygen content becomes 9% of \n" ); document.write( "the total volume. How many litres of mixture is \n" ); document.write( "released each time? \n" ); document.write( ": \n" ); document.write( "let x = amt of mixture released each time, also the amt of nitrogen added \n" ); document.write( ": \n" ); document.write( "We know that if the mixture is 16% oxygen, it is 84% nitrogen \n" ); document.write( "then 9% oxygen means we have 91% nitrogen \n" ); document.write( ": \n" ); document.write( "Write the decimal equation in the terms of nitrogen \n" ); document.write( ".84(8-2x) + 2x = .91(8) \n" ); document.write( "6.72 - 1.68x + 2x = 7.28 \n" ); document.write( "-1.28x + 2x = 7.28 - 6.72 \n" ); document.write( ".32x = .56 \n" ); document.write( "x = .56/.32 \n" ); document.write( "x = 1.75 liters of the mixture is released each time. \n" ); document.write( " \n" ); document.write( " |