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8 and 12 common multiple - Parker Core Knowledge

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 Solutions are \( n = 20 \) or \( n = -21 \).

📌 Since \( n \) must be positive, \( n = 20 \).

📌 A rectangular prism has a volume of 240 cubic units. Its length is 10 units, and its width is 6 units. What is its height?

📌 Volume is given by \( \text{length} \times \text{width} \times \text{height} = 240 \).

📌 Substitute known values: \( 10 \times 6 \times \text{height} = 240 \).

📌 Simplify: \( 60 \times \text{height} = 240 \).

📌 Solve for height: \( \text{height} = \frac{240}{60} = 4 \) units.

📌 A number is increased by 20% and then decreased by 25%. If the final result is 90, what was the original number?

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