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Home » Divide both sides by 100: - Dyverse

Divide both sides by 100: - Dyverse

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 The smallest number of whole non-overlapping squares needed is \(\boxed{20}\).

📌 Question:** An anthropologist is studying the relationship between community size and resource allocation. In a hypothetical community, the number of resources \( R \) is directly proportional to the square of the community size \( S \), and inversely proportional to the number of leaders \( L \). If \( R = k \cdot \frac{S^2}{L} \) where \( k \) is a constant, find \( S \) when \( R = 50 \), \( L = 5 \), and \( k = 2 \).

📌 R = k \cdot \frac{S^2}{L}

📌 Substitute the known values into the equation: \( R = 50 \), \( L = 5 \), and \( k = 2 \):

📌 = 2 \cdot \frac{S^2}{5}

📌 = \frac{2S^2}{5}

📌 Multiply both sides by 5 to eliminate the fraction:

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