Evaluate the expression when \( a=5 \) and \( b=7 \) \( \frac{5 b+a^{2}}{a} \)

To evaluate the expression \( \frac{5b + a^{2}}{a} \) when \( a=5 \) and \( b=7 \), we start by substituting the values into the expression. First, calculate \( a^2 \): \[ a^2 = 5^2 = 25. \] Next, substitute \( b = 7 \): \[ 5b = 5 \times 7 = 35. \] Now, substitute both values into the expression: \[ 5b + a^2 = 35 + 25 = 60. \] Finally, we divide by \( a \): \[ \frac{60}{5} = 12. \] Thus, the evaluated expression is: \[ \boxed{12}. \]