document.write( "Question 1073374: Which derived unit is appropriate for the following situation?\r
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document.write( "When painting the lines on the highway, the machine operator discovered he had to refill the tank holding the liters of paint every 2 kilometers. \n" );
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Algebra.Com's Answer #688196 by Theo(13342) You can put this solution on YOUR website! i would say the base units here would be the tank itself and the length of the highway.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the derived unit could be number of kilometers per tank. \n" ); document.write( "the derived unit could be number of tanks per kilometer.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "for example, since the tank has to be refilled every 2 miles, then:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the number of kilometers per tank would be 2/1 = 2. \n" ); document.write( "the number of tanks per kilometer would 1/2 = .5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "alternatively:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the derived unit could be kilometers per liter. \n" ); document.write( "the derived unit could be number of liters per kilometer.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "for example, assuming the tank holds 5 liters of paint and has to be refilled every 2 kilometers, then:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the number of kilometers per liter of paint in the tank would be 2/5 = .4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the number of liters of paint in the tank per kilometer would 5/2 = 2.5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let's assume that you painted 10 kilometers of highway.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the number of kilometers per tank is 2, therefore the number of tanks required would be 10/2 = 5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the number of tanks per kilometer is .5, therefore the number of tanks required is 10 * .5 = 5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if the tank holds 5 liters, then:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the number of kilometers per liter is .4, therefore the number of liters of paint required is 10/.4 = 25.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the number of liters per kilometer is 2.5, therefore the number of liters of paint required is 10 * 2.5 = 25.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |