document.write( "Question 1088822: hi need answer by Thursday so please be quick. I really need someone's help.\r
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document.write( "question:\r
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document.write( "Phil is x years old. his sister's age is 1/4 of his age. Their father is 31 years older than Phil's sister. \r
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document.write( "a)If their father is 35 years old form an equation in terms of x.
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document.write( "b)Find Phil's age. \n" );
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Algebra.Com's Answer #703138 by jim_thompson5910(35256) ![]() You can put this solution on YOUR website! \n" ); document.write( "Part A)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P = phil's age \n" ); document.write( "S = sister's age \n" ); document.write( "F = father's age\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We're told that Phil is x years old, so P = x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Phil's sister is 1/4 of Phil's age, so S = (1/4)*P = (1/4)*x = 0.25x \n" ); document.write( "In short, S = 0.25x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Their father is 31 years older than Phil's sister, so F = S+31 = 0.25x+31 \n" ); document.write( "In short, F = 0.25x+31\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Replace F with 35 because we're told that the father is 35 years of age.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The answer to part A is 35 = 0.25x+31\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Note: you can use the fraction 1/4 in place of 0.25\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "--------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Part B)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solve the result found in part A for x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "35 = 0.25x+31\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "35-31 = 0.25x+31-31 ... subtact 31 from both sides\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4 = 0.25x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4/0.25 = 0.25x/0.25 ... divide both sides by 0.25\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "16 = x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 16\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Phil is 16 years old\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |