document.write( "Question 1208622: With each stroke, a pump removes 2/5 of the air in a container. After 3 strokes what is the fraction of the original amount of air in the container that is left? \n" ); document.write( "
Algebra.Com's Answer #846990 by ikleyn(52781)\"\" \"About 
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\n" ); document.write( "With each stroke, a pump removes 2/5 of the air in a container. After 3 strokes what is the fraction of the original amount
\n" ); document.write( "of air in the container that is left?
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document.write( "Let M be the initial mass of the air in the container.\r\n" );
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document.write( "After first stroke,  the remaining mass of the air in the container is  \"%281-2%2F5%29%2AM\" = \"%283%2F5%29M\".\r\n" );
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document.write( "Thus we see that the coefficient from the current air mass to remaining mass\r\n" );
document.write( "after the first stroke is 3/5.\r\n" );
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document.write( "    +------------------------------------------------------+\r\n" );
document.write( "    |  This coefficient remains the same at every stroke.  |\r\n" );
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document.write( "After second stroke, the remaining mass of the air in the container is  \"%283%2F5%29%2A%283%2F5%29%2AM\" = \"%283%2F5%29%5E2%2AM\".\r\n" );
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document.write( "After third stroke,  the remaining mass of the air in the container is  \"%283%2F5%29%2A%283%2F5%29%5E2%2AM\" = \"%283%2F5%29%5E3%2AM\" = \"%2827%2F125%29%2AM\".\r\n" );
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document.write( "ANSWER.   After third stroke,     the remaining mass of the air in the container is  \"%2827%2F125%29%2AM\".\r\n" );
document.write( "          The remaining fraction of the original mass is  \"27%2F125\".\r\n" );
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