document.write( "Question 981583: I know this is a long question. I have done the best that I could do. I am having trouble figuring out the percentages. All of the question have something in common with each other.\r
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document.write( "1. According to the U.S. Energy Information Administration (www.eia.gov) the United States consumed 4.151 trillion kWh (kilowatt-hours) of electric energy in 2010. Write this number in correct scientific notation in terms of kWh.
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document.write( "My answer:5.151 X 10^12\r
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document.write( "2. Of this electric energy, 260.2 billion kWh were produced by hydroelectric
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document.write( "sources (think water over dams – like Snoqualmie Falls) in 2010.\r
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document.write( "a) Write this number in correct scientific notation in terms of kWh.
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document.write( "my answer:2.6 X 10^11\r
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document.write( "b) What percent of the total US electric energy did hydroelectric sources
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document.write( "account for in 2010? (Round to the nearest 10th of a percent.)
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document.write( "My answer: 62%\r
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document.write( "3. Additionally, 94.7 billion kWh were produced by wind power sources.
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document.write( "a) Write this number in correct scientific notation in terms of kWh.
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document.write( "My answer: 9.47 X 10^10\r
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document.write( "b) What percent of the total US electric energy did wind power sources
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document.write( "account for in 2010? (Round to the nearest 10th of a percent.)
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document.write( "I can not figure out the percentage.\r
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document.write( "c) What percent of the total US electric energy did hydro and wind power
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document.write( "sources account for in 2010 combined?
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document.write( "I can not figure out the percentage.
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Algebra.Com's Answer #602559 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! The first is 4.151 x 10^12 \n" ); document.write( "The second is correct. \n" ); document.write( "The third is the ratio of 2.6 X10 ^11/4.51x10^12= 26X10^10/4.151x10^12 = 6.263x10^-2 \n" ); document.write( "That is 0.06263= 6.3% \n" ); document.write( "===== \n" ); document.write( "The fourth is \n" ); document.write( "9.47 x 10^10/4.151 x 10^12=2.28 x 10^-2=0.0228 or 2.3%. \n" ); document.write( "======= \n" ); document.write( "The last is 3.549X10^11/4.151 x10^12, and it should be the sum of those two percentages (maybe slightly different because of rounding). \n" ); document.write( "0.8550^10-1=8.550X10^-2, the latter being scientific notation.\r \n" ); document.write( "\n" ); document.write( "That is 0.0855=8.6%.\r \n" ); document.write( "\n" ); document.write( "Notice how 0.1 x 10^2=1 x 10^1 \n" ); document.write( "I multiply 0.1 x 10 and divide 10^2 by 10, which doesn't change anything.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |