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Home » f(3) &= 27a + 9b + 3c + d = 15 \\ - Portal da AcÃºstica

f(3) &= 27a + 9b + 3c + d = 15 \\ - Portal da AcÃºstica

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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

📌 Solve for \( n \): \( n = 4 \)

📌 A train travels 180 miles at a speed of 60 mph, then another 120 miles at 80 mph. What is the average speed for the entire journey?

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