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Home » \( r = \sqrt[3]216 = 6 \) - Midis

\( r = \sqrt[3]216 = 6 \) - Midis

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 A triangle has sides of length 7, 24, and 25 units. Is it a right triangle?

📌 Check using the Pythagorean theorem: \( 7^2 + 24^2 = 49 + 576 = 625 = 25^2 \)

📌 The cost of 5 notebooks and 3 pens is $23. The cost of 3 notebooks and 2 pens is $14. What is the cost of one notebook?

📌 Let the cost of a notebook be \( n \) and a pen be \( p \).

📌 Equations: \( 5n + 3p = 23 \) and \( 3n + 2p = 14 \)

📌 Solve the second equation for \( p \): \( 2p = 14 - 3n \) → \( p = 7 - 1.5n \)

📌 Substitute into the first equation: \( 5n + 3(7 - 1.5n) = 23 \)

📌 Simplify: \( 5n + 21 - 4.5n = 23 \) → \( 0.5n = 2 \)

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