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7. Leroy packs one printer and some reams of paper into each loox for delivery to an office. Each ream of paper weighs 4.5 pounds and one printer weighs 9.5 pounds. If the moximum capacity of a box is 50 pounds. Which inequalty represents the humber of reams of paper, \( n \), Leroy can safely pack in each box? a) \( 9.5+4.5 n \leq 50 \) b) \( 9.5+4.5 n \geq 50 \) c) \( 4.5 n \geq 50 \) D) \( 9.5 n+4.5 \leq 50 \)

Ask by Owen Black. in the United States
Mar 10,2025

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Answer

The inequality is \( 9.5 + 4.5n \leq 50 \).

Solution

Given that the printer weighs \( 9.5 \) pounds and each ream of paper weighs \( 4.5 \) pounds, and the maximum capacity of the box is \( 50 \) pounds, we set up the inequality as follows: 1. The total weight in the box must be less than or equal to \( 50 \) pounds. 2. Total weight = weight of the printer + weight of the reams of paper, which is \[ 9.5 + 4.5n \] 3. The inequality becomes: \[ 9.5 + 4.5n \leq 50 \] Thus, the correct answer is: a) \( 9.5+4.5 n \leq 50 \)

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To figure out how many reams of paper Leroy can fit in a box without exceeding the weight limit, we can set up an inequality. Since each box contains one printer (9.5 pounds) and each ream of paper weighs 4.5 pounds, the combined weight must be less than or equal to the box's weight capacity of 50 pounds. This leads us to the inequality \( 9.5 + 4.5n \leq 50 \), making option a) the correct choice. Now, let's think of this in a practical context. If Leroy packs too many reams of paper, he risks exceeding the weight limit, which could lead to delivery issues or even damaging the boxes. Not only is this a weight challenge, but it also reflects the real-life importance of logistics in shipping and delivery services; knowing how to optimize space while following regulations can make or break a successful delivery!

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