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djyliett [7]
3 years ago
12

Make x the subject of m=n + x/p

Mathematics
1 answer:
marshall27 [118]3 years ago
4 0

Answer:

\boxed{x = p(m - n)}

Step-by-step explanation:

=  > m = n +  \frac{x}{p}  \\  \\  =  > m = (n \times  \frac{p}{p} ) +  \frac{x}{p}  \\  \\  =  > m =  \frac{pn}{p}  +  \frac{x}{p}  \\  \\  =  > m =  \frac{pn + x}{p}  \\  \\  =  > mp = pn + x \\  \\  =  > x + pn = pm \\  \\  =  > x = pm - pn \\  \\  =  > x = p(m - n)

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The perimeter of a rectangular swimming pool is 154m.its length is 2m more than twice breadth . what are the length and breadth
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The breadth is x.
The length is 2 m more than twice the breadth, so it's 2x+2.
The perimeter of a rectangle is twice the sum of the length and the breadth. The perimeter is 154 m.

2(x+2x+2)=154 \\
x+2x+2=\frac{154}{2} \\
3x+2=77 \\
3x=77-2 \\
3x=75 \\
x=\frac{75}{3} \\
x=25 \Leftarrow \hbox{the breadth} \\ \\
\hbox{the length:} \\
2x+2=2 \times 25+2=50+2=52

The length of the swimming pool is 52 m, the breadth is 25 m.
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