document.write( "Question 519932: Joe has scores of 94, 71, 89, 73 on his first four exams in his math class. He wants to get a final grade of B for the course. To do this, his exam average must be greater than or equal to 80 and less than 90. he has one exam remaining. What range of scores will give him a final grade of B\r
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document.write( "Show the answer mathematically.\r
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document.write( "Write the answer as a statement. \n" );
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Algebra.Com's Answer #345899 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! Let \n" ); document.write( "Socre of fifth exam = x\r \n" ); document.write( "\n" ); document.write( "Avarage for five exams = (97+71+89+73+x)/5 = (324+x)/5 \n" ); document.write( "His exam average must be greater than or equal to 80 and less than 90\r \n" ); document.write( "\n" ); document.write( "80≤(324+x)/5<90\r \n" ); document.write( "\n" ); document.write( "Now \n" ); document.write( "For 80≤(324+x)/5 \n" ); document.write( "80≤(324+x)/5 \n" ); document.write( "Multiply by 5 \n" ); document.write( "5*80≤5*(324+x)/5 \n" ); document.write( "400≤(324+x) \n" ); document.write( "400-324≤x \n" ); document.write( "76≤x\r \n" ); document.write( "\n" ); document.write( "For \n" ); document.write( "(324+x)/5<90 \n" ); document.write( "Multiply by 5 \n" ); document.write( "5*(324+x)/5<90*5 \n" ); document.write( "324+x<450 \n" ); document.write( "x<450-324 \n" ); document.write( "x<126\r \n" ); document.write( "\n" ); document.write( "Range of x \n" ); document.write( "76≤x<126\r \n" ); document.write( "\n" ); document.write( "Range of marks is between 76 and 125\r \n" ); document.write( "\n" ); document.write( "He must score marks between 76 and 125 in his fifth test to maintain an average which will give him a grade B.\r \n" ); document.write( "\n" ); document.write( "If the total marks of an exam is 100 then range must be between 76 and 100. \n" ); document.write( " \n" ); document.write( " |