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Ratling [72]
3 years ago
6

1/3 n=4/5 Enter the value of the n that will make the equation true.

Mathematics
1 answer:
myrzilka [38]3 years ago
3 0

Answer:

  n = 12/5

Step-by-step explanation:

Multiply both sides of the equation by the reciprocal of the coefficient of n.

  (3/1)(1/3)n = (3/1)(4/5)

  n = 12/5

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\bf ~~~~~~~~~~~~\textit{internal division of a line segment}&#10;\\\\\\&#10;A(-4,-8)\qquad B(11,7)\qquad&#10;\qquad \stackrel{\textit{ratio from A to B}}{3:7}&#10;\\\\\\&#10;\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]&#10;~\dotfill\\\\&#10;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]&#10;~\dotfill


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