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Home » Want More Sleep? Install an Outdoor Shower Today—Here’s Why! - Feedz API

Want More Sleep? Install an Outdoor Shower Today—Here’s Why! - Feedz API

📅 May 18, 2026 👤 scraface

May 18, 2026

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📌 Question: An anthropologist studying migration patterns records three villages' population changes: $4u + 3$, $2u + 5$, and $5u + 2$. What is the arithmetic mean of these values?

📌 Solution: The arithmetic mean is the sum divided by 3:

📌 \frac{(4u + 3) + (2u + 5) + (5u + 2)}{3} = \frac{11u + 10}{3}

📌 \frac{11u + 10}{3}

📌 $\boxed{\dfrac{11u + 10}{3}}$

📌 Question: A museum curator notes that the ratio of 19th-century telescopes to 20th-century microscopes in the collection is $5:4$. If there are 15 telescopes, how many microscopes are there?

📌 Solution: Let the number of microscopes be $x$. The ratio $5:4 = 15:x$ implies:

📌 \frac{5}{4} = \frac{15}{x} \implies 5x = 60 \implies x = 12

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