document.write( "Question 442768: a) A locomotive is 10 m long and weighs 72 tonnes. A similar model, made of the same material, is 40 cm long, find the mass of the model.
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document.write( "b) Suppose the tank of the model locomotive contains 0.85 liters of water when full, find the capacity of the tank of the locomotive.
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Algebra.Com's Answer #305521 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! a) A locomotive is 10 m long and weighs 72 tonnes. A similar model, made of the same material, is 40 cm long, find the mass of the model. \n" ); document.write( ": \n" ); document.write( "Convert 40 cm to .4 m \n" ); document.write( ": \n" ); document.write( "Use a volume proportion equation, let x = mass of the 40 cm engine \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "Cross multiply: \n" ); document.write( "1000x = 72 * .064 \n" ); document.write( "1000x = 4.608 \n" ); document.write( "x = \n" ); document.write( "x = .004608 tonnes \n" ); document.write( "change to kilograms \n" ); document.write( ".004608*1000 = 4.61 kg \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "b) Suppose the tank of the model locomotive contains 0.85 liters of water when full, find the capacity of the tank of the locomotive. \n" ); document.write( " \n" ); document.write( ".064x = 1000*.85 \n" ); document.write( ".064x = 850 \n" ); document.write( "x = \n" ); document.write( "x = 13,281.25 liters of water \n" ); document.write( " |