document.write( "Question 935741: mai spends 7 and 3/5 hours in school each day. her lunch period is 1/2 hour long, and she spends a total of 7/10 hour switching rooms between classes, the rest of the day is spent in 6 classes that are all the same length. how long is each class? \n" ); document.write( "
Algebra.Com's Answer #569020 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! x = time per class \n" ); document.write( "y = total time in school \n" ); document.write( "z = lunch time \n" ); document.write( "w = time switching classes \n" ); document.write( "--- \n" ); document.write( "total time in school: \n" ); document.write( "y = 7 + 3/5 \n" ); document.write( "y = 35/5 + 3/5 \n" ); document.write( "y = 38/5 \n" ); document.write( "y = 2*(38/5) \n" ); document.write( "y = 76/10 \n" ); document.write( "--- \n" ); document.write( "lunch time: \n" ); document.write( "z = 1/2 \n" ); document.write( "z = 5*(1/2) \n" ); document.write( "z = 5/10 \n" ); document.write( "--- \n" ); document.write( "time switching classes: \n" ); document.write( "w = 7/10 \n" ); document.write( "--- \n" ); document.write( "y - 6x - z - w = 0 \n" ); document.write( "6x = y - z - w \n" ); document.write( "x = (y - z - w)/6 \n" ); document.write( "x = (76/10 - 5/10 - 7/10)/6 \n" ); document.write( "x = (76 - 5 - 7)/(10*6) \n" ); document.write( "x = (64)/(10*6) \n" ); document.write( "x = (2*2*2*2*2*2)/(2*5*2*3) \n" ); document.write( "x = (2*2*2*2)/(5*3) \n" ); document.write( "x = 16/15 \n" ); document.write( "x = 1.0666666666 \n" ); document.write( "--- \n" ); document.write( "check: \n" ); document.write( "y = 7 + 3/5 \n" ); document.write( "y = 7.6 \n" ); document.write( "z = 1/2 \n" ); document.write( "z = 0.5 \n" ); document.write( "w = 7/10 \n" ); document.write( "w = 0.7 \n" ); document.write( "y - 6x - z - w = 0 \n" ); document.write( "6x = y - z - w \n" ); document.write( "x = (y - z - w)/6 \n" ); document.write( "x = (7.6 - 0.5 - 0.7)/6 \n" ); document.write( "x = 1.0666666666 \n" ); document.write( "--- \n" ); document.write( "answer: \n" ); document.write( "each class is 1.07 hours \n" ); document.write( "--- \n" ); document.write( "Free algebra tutoring live chat: \n" ); document.write( "https://sooeet.com/chat.php?gn=algebra \n" ); document.write( "--- \n" ); document.write( "Solve and graph linear equations: \n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve quadratic equations with quadratic formula: \n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve systems of linear equations up to 6-equations 6-variables: \n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php \n" ); document.write( "--- \n" ); document.write( " |