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3 years ago

6

In a classroom, 2/12 of students play baseball,4/12 play football,1/12 are in the chorus,and the rest participate in volunteer p

rograms.What fraction of the students participate in volunteer programs?explain your answer

1 answer:

777dan777 [17]3 years ago

8 0

12/12 would be the fraction of all students...now subtract all of the fractions that represent students not in the volunteer programs...

12/12-2/12-4/12-1/12

(12-2-4-1)/12

5/12

So 5/12 of the student participate in volunteer programs.

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$1. \: 3i$

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let's first off take a peek at those values.

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$\bf ~~~~~~~~~~~~\textit{internal division of a line segment}
\\\\\\
A(-4,-8)\qquad B(11,7)\qquad
\qquad \stackrel{\textit{ratio from A to B}}{3:7}
\\\\\\
\cfrac{A\underline{C}}{\underline{C} B} = \cfrac{3}{7}\implies \cfrac{A}{B} = \cfrac{3}{7}\implies 7A=3B\implies 7(-4,-8)=3(11,7)\\\\[-0.35em]
~\dotfill\\\\
C=\left(\frac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \frac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)\\\\[-0.35em]
~\dotfill$

$\bf C=\left(\cfrac{(7\cdot -4)+(3\cdot 11)}{3+7}\quad ,\quad \cfrac{(7\cdot -8)+(3\cdot 7)}{3+7}\right)
\\\\\\
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\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
~\hfill C=\left( \frac{1}{2}~,~-\frac{7}{2} \right)~\hfill$

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3 years ago