document.write( "Question 1134560: the number of students in a lecture room is inversely proportional to the square root of the number of lectures in a class of 30 students
\n" ); document.write( "there were 25 lectures. what is the evaluation connecting the students and the lectures. find the number of lectures that will be involved when there were 50students \n" ); document.write( "

Algebra.Com's Answer #751979 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+k+\"$ = the constant of proportionality
\n" ); document.write( "Let $\"+s+\"$ = the number of students
\n" ); document.write( "Let $\"+n+\"$ = the number of lectures
\n" ); document.write( "-------------------------------------------------
\n" ); document.write( " $\"+s+=+k%2A%28+1%2Fsqrt%28n%29+%29+\"$
\n" ); document.write( " $\"+k+=+s%2Asqrt%28n%29+\"$
\n" ); document.write( " $\"+s+=+30+\"$
\n" ); document.write( " $\"+n+=+25+\"$
\n" ); document.write( " $\"+k+=+30%2Asqrt%2825%29+\"$
\n" ); document.write( " $\"+k+=+30%2A5+\"$
\n" ); document.write( " $\"+k+=+150+\"$
\n" ); document.write( "-----------------------------
\n" ); document.write( " $\"+s+=+50+\"$
\n" ); document.write( " $\"+s+=+k%2A%28+1%2Fsqrt%28n%29+%29+\"$
\n" ); document.write( " $\"50+=+150%2A%28+1%2Fsqrt%28n%29+%29+\"$
\n" ); document.write( "Multiply both sides by $\"+sqrt%28n%29+\"$
\n" ); document.write( " $\"+50%2Asqrt%28n%29+=+150+\"$
\n" ); document.write( " $\"+sqrt%28n%29+=+3+\"$
\n" ); document.write( " $\"+n+=+9+\"$
\n" ); document.write( "There are 9 lectures
\n" ); document.write( " \n" ); document.write( "

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