document.write( "Question 898882: Electricity Generated by Windmills:
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document.write( "One growing community in California currently uses 2 megawatts (MW) of electricity per year. All this electricity is generated from coal. The community plans to add x MW of windmill generation capacity to its system to meet increasing demand. How many megawatts of windmill generation capacity must be built in order that 20% of the community's total electricity usage comes from windmills?\r
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document.write( "I know the answer is supposed to be .5mw but I am stumped as to what formula to use to get that answer. \r
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document.write( "If I turn it into a sentence, I'd say \"What is 20% of 2 MW?\" That will give me a 0.4 answer though, which doesn't fit the correct answer. :( \n" );
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Algebra.Com's Answer #545025 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Present megawatt usage: 2 MW\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Future megawatt usage: 2+x (we're adding on x megawatts)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So we go from 2 to 2+x. The x megawatts added are coming from windmills and windmills alone (given in the instructions). \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So that means we have...\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(MW of windmills only)/(total megawatt usage) = percentage of windmill MW output\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "( x )/( 2 + x ) = 20%\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "( x )/( 2 + x ) = 20/100\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "( x )/( 2 + x ) = 0.20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 0.20( 2 + x )\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 0.20(2) + 0.20(x)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 0.40 + 0.20x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + 0.20x = 0.40\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "0.80x = 0.40\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 0.40/0.80\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 0.50\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So you need to add 0.50 MW from windmills alone to get to 2+0.5=2.5 MW total\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Notice how: 0.5/2.5 = 0.2 = 20%. So 20% of the energy is produced by windmills. \n" ); document.write( " |