Jamie was asked to make r the subject of the formula p=10(q-3r)/r Complete his answer

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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