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)\"\" \"About 
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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( "---
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