Question

tim is filling a new sandbox with play sand. the sandbox can hold up to 25 cubic feet of sand before it’s too full. the sand tim needs comes in bags containing 0.5 cubic feet of sand. let x represent how many bags of sand tim can pour into the sandbox before it’s too full. which inequality describes the problem? 0.5x ≤ 25 0.5x ≥ 25 solve the inequality. then, complete the sentence to describe the solution. tim can pour at most bags of sand into the sandbox. submit

Explanation:

Step1: Determine the inequality

Each bag has 0.5 cubic feet, and \( x \) is the number of bags. The total sand \( 0.5x \) must be at most 25 (since it can't exceed 25). So the inequality is \( 0.5x \leq 25 \).

Step2: Solve the inequality

To solve \( 0.5x \leq 25 \), divide both sides by 0.5:
\( x \leq \frac{25}{0.5} \)
\( \frac{25}{0.5} = 50 \), so \( x \leq 50 \).

Answer:

The inequality is \( 0.5x \leq 25 \), and Tim can pour at most 50 bags of sand.