Respuesta :

Answer:

r = 10q/(p + 30)

so put p+30 in the blank

Step-by-step explanation:

p=10(q - 3r)/r

p = (10q - 30r)/r

pr = 10q - 30r

pr + 30r = 10q

r(p + 30) = 10q

r = 10q/(p + 30)

The expression that completes the answer is p + 30

Given the expression as shown below:

[tex]p = \frac{10(q-3r)}{r} \\[/tex]

We are to make r the subject of the formula

First, we need to cross multiply to have:

[tex]pr = 10(q-3r)\\[/tex]

Expand and simplify

[tex]pr = 10q-30r\\pr+30r=10q\\r(p+30) = 10q[/tex]

Divide both sides by p + 30

[tex]r =\frac{10q}{p+30}[/tex]

This shows that the expression that completes the answer is p + 30

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