document.write( "Question 915937: Johnny is in a hot air balloon that is at 900 feet and rising 5 ft per hour. Susie is in a hot air balloon that is 1240 feet high, falling at 12 ft per hour.
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document.write( "a) how long will it be until Johnny and Susie are at the same height?
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document.write( "900+5n=1240-12n
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document.write( "-900 +12 -900 +12
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document.write( "17n=340
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document.write( "17 17
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document.write( "n=20
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document.write( "b) Use the equation and answer from part a to determine what height they will be when they meet. ???? \n" );
document.write( "
Algebra.Com's Answer #555853 by josh_jordan(263)![]() ![]() You can put this solution on YOUR website! To solve part b, all you need to do is substitute the n in either equation for 20. So, if we use the first equation of 900 + 5n, we can replace n with 20:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "900 + 5(20) ------> 900 + 100 -----> 1000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, they will be 1000 feet when they meet. You can verify by replacing n for 20 in your second equation:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1240 - 12(20) -----> 1240 - 240 -----> 1000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Final Answer for Part b: 1000 feet \n" ); document.write( " |