document.write( "Question 1012020: What time after 11:00 will the hands of the clock be in opposite directions? \n" ); document.write( "
Algebra.Com's Answer #627862 by ValorousDawn(53)\"\" \"About 
You can put this solution on YOUR website!
The answer will be 11 something, due to the wording, so we get to work solely in minutes (else wise there are a multiple number of answers).\r
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\n" ); document.write( "\n" ); document.write( "The hour hand only moves 360/12 30 degrees an hour, and since there are 60 minutes in an hour, we have 1/2 degrees per minute. \r
\n" ); document.write( "\n" ); document.write( "The minute hand, on the other hand (haha) moves at 360 degrees an hour, and since there are 60 minutes in an hour, we have 6 degrees per minute. \r
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\n" ); document.write( "\n" ); document.write( "If the two are to be on the opposite sides, they are 180 degrees apart. 11 o clock is 11/12*360=330 degrees, so the hour hand starts there. We now have an equation.\r
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\n" ); document.write( "\n" ); document.write( "330+x/2=6x+180
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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\n" ); document.write( " YOUR ANSWER\n" ); document.write( "


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  • This is an equation! Solutions: x=27.2727272727273.
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  • Graphical form: Equation \"330%2Bx%2F2=6x%2B180\" was fully solved.
  • Text form: 330+x/2=6x+180 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+330%2Bx%2F2=6x%2B180+%29\"
    For tutors: simplify_cartoon( 330+x/2=6x+180 )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at \"highlight_red%28+330+%29%2Bx%2F2=6x%2B180\".
Moved \"330\" to the right of expression
It becomes \"x%2F2%2Bhighlight_green%28+330+%29=6x%2B180\".
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Look at \"x%2F2%2B330=highlight_red%28+6%2Ax%2B180+%29\".
Moved these terms to the left \"highlight_green%28+-6%2Ax+%29\",\"highlight_green%28+-180+%29\"
It becomes \"x%2F2%2B330-highlight_green%28+6%2Ax+%29-highlight_green%28+180+%29=0\".
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Look at \"x%2F2%2Bhighlight_red%28+330+%29-6%2Ax-highlight_red%28+180+%29=0\".
Added fractions or integers together
It becomes \"x%2F2%2Bhighlight_green%28+150+%29-6%2Ax=0\".
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Look at \"x%2F2%2Bhighlight_red%28+150+%29-6%2Ax=0\".
Moved \"150\" to the right of expression
It becomes \"x%2F2-6%2Ax%2Bhighlight_green%28+150+%29=0\".
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Look at \"highlight_red%28+x%2F2+%29-highlight_red%28+6%2Ax+%29%2B150=0\".
Eliminated similar terms \"highlight_red%28+x%2F2+%29\",\"highlight_red%28+-6%2Ax+%29\" replacing them with \"highlight_green%28+%281%2F2-6%29%2Ax+%29\"
It becomes \"highlight_green%28+%281%2F2-6%29%2Ax+%29%2B150=0\".
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Look at \"%28highlight_red%28+1%2F2+%29-highlight_red%28+6+%29%29%2Ax%2B150=0\".
Added fractions or integers together
It becomes \"%28-highlight_green%28+11%2F2+%29%29%2Ax%2B150=0\".
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Look at \"highlight_red%28+%28-highlight_red%28+11%2F2+%29%29%2Ax+%29%2B150=0\".
Remove unneeded parentheses around factor \"highlight_red%28+11+%29\",\"highlight_red%28+1%2F2+%29\"
It becomes \"-highlight_green%28+11+%29%2Fhighlight_green%28+2+%29%2Ax%2B150=0\".
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Look at \"highlight_red%28+-11%2F2%2Ax%2B150+%29=0\".
Solved linear equation \"highlight_red%28+-11%2F2%2Ax%2B150=0+%29\" equivalent to -5.5*x+150 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: x=27.2727272727273.

Universal Simplifier and Solver

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Done!
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