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3 years ago

D= 11/5(p-15) solve for p.

Mathematics

2 answers:

Mariana [72]3 years ago

4 0

D=11/5p-33
11/5p=D+33
p=5/11D+15

Artist 52 [7]3 years ago

4 0

Answer: The required solution for p is $p=\dfrac{11+75D}{5D}.$

Step-by-step explanation: We are given to solve the following equation for the unknown variable p :

$D=\dfrac{11}{5(p-15)}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To solve the given equation for p, we must find the value of p in terms of D.

From equation (i), we have

$D=\dfrac{11}{5(p-15)}\\\\\\\Rightarrow D=\dfrac{11}{5p-75}\\\\\\\Rightarrow D(5p-75)=11\\\\\Rightarrow 5Dp-75D=11\\\\\Rightarrow 5Dp=11+75D\\\\\Rightarrow p=\dfrac{11+75D}{5D}.$

Thus, the required solution for p is $p=\dfrac{11+75D}{5D}.$

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