document.write( "Question 362017: Through(3,4) perpendicular to y =-3x+2\r
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\n" ); document.write( "\n" ); document.write( "Dmitri needs 5 liters of a 43% solution of sulfuric acid for a research project in molecular biology. He has two supplies of sulfuric acid solution: one is an unlimited supply of the 40% solution and the other an unlimited supply of the 45% solution. How many liters of each solution should Dmitri use? \n" ); document.write( "

Algebra.Com's Answer #258038 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi
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document.write( "Through(3,4) perpendicular to y =-3x+2 
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document.write( "y = (1/3)x + b  Slopes of perpendicular lines are negative reciprocals
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document.write( "(3,4)
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document.write( "4 = 1 + b    substituting the ordered pair to solve for b
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document.write( "3 = b
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document.write( "y = (1/3)x + 3\r
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document.write( "2nd question
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document.write( "Let x represent the 45% solution, then (5-x) would represent the 40% solution
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document.write( ".40(5-x) + .45x = .43*5L
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document.write( "solving for x
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document.write( ".05x = .43*5 - .40*5L
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document.write( ".05x = .03*5 = .15L
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document.write( "x = 3 L of 45% solution and (5-3) or 2L of 40% solution
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document.write( "checking our answer
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document.write( ".40*2 + .45*3 = .08 + 1.35 = 2.15 \n" );
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