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courtyard by marriott springfield springfield va 22150 - Imagemakers

📅 April 30, 2026 👤 scraface

Apr 30, 2026

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📌 Question: A CAD designer uses two rods of lengths 12 inches and 18 inches to construct a triangular frame. What is the greatest possible length of a segment that can evenly divide both rod lengths?

📌 Question: A museum curator organizes a display of 48 astrolabes and 72 sextants. If each row in the display must contain the same number of each instrument without mixing types, what is the maximum number of instruments per row?

📌 Question: A vertical farm uses hydroponic channels for basil and mint in a ratio of $4:3$. If there are 28 basil channels, how many mint channels are there?

📌 Solution: The ratio of basil to mint channels is $4:3$, so for every 4 basil channels, there are 3 mint channels. Since there are 28 basil channels, we calculate the number of groups of 4 in 28:

📌 Each group corresponds to 3 mint channels, so the total number of mint channels is:

📌 Question: What is the largest prime factor of $255$?

📌 Solution: Begin by factoring $255$. It is odd, so not divisible by 2. Check divisibility by 3:

📌 The prime factors of $255$ are $3, 5,$ and $17$. The largest is:

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