To solve the inequality \(\frac{4}{5}d \leq 24\), we can follow these steps:
- Multiply both sides of the inequality by \(\frac{5}{4}\) to isolate \(d\). Since \(\frac{5}{4}\) is positive, the direction of the inequality will remain the same.
\[ d \leq 24 \cdot \frac{5}{4} \]
- Calculate \(24 \cdot \frac{5}{4}\):
\[ 24 \cdot \frac{5}{4} = 24 \cdot 1.25 = 30 \]
Therefore, the solution to the inequality is:
\[ d \leq 30 \]
So, the value of \(d\) is \(d \leq 30\).