Question

Make n the subject:
n+p/pt = 5p

Answer 1

Answer: To make n the subject of the formula n+p/pt = 5p, we can follow these steps:

Explanation:

1. Multiply both sides of the equation by pt to eliminate the fraction: npt + p = 5pt^2

2. Subtract p from both sides of the equation: npt = 5pt^2 - p

3. Divide both sides of the equation by pt: n = (5pt^2 - p) / pt

Therefore, n = (5pt^2 - p) / pt is the formula with n as the subject.

Answer 2

`n=5p^2t-p`

Explanation:

Given equation:

`(n+p)/(pt)=5p`

To make n the subject of the given equation, we can use algebraic operations to isolate n.

Multiply both sides of the equation by pt:

`(n+p)/(pt)\cdot pt=5p \cdot pt`

`n+p=5p^2t`

Subtract p from both sides of the equation:

`n+p-p=5p^2t-p`

`\large\boxed{n=5p^2t-p}`

`\hrulefill`

Additional information

If needed, we can factor the right side of the equation by factoring out the common term p:

`n=p(5pt-1)`