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 \(p=\dfrac{11+75D}{5D}.\)
