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Home » The sum of the first \( n \) positive integers is 210. Find \( n \). - Network4

The sum of the first \( n \) positive integers is 210. Find \( n \). - Network4

📅 May 20, 2026 👤 scraface

May 20, 2026

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📌 Salt in 20% solution: \(0.20 \times 3 = 0.6\) liters.

📌 Salt in 50% solution: \(0.50 \times 2 = 1.0\) liter.

📌 Total salt: \(0.6 + 1.0 = 1.6\) liters.

📌 Total volume: \(3 + 2 = 5\) liters.

📌 Concentration: \(\frac{1.6}{5} \times 100 = 32\%\).

📌 If \(x^2 - 5x + 6 = 0\), what are the values of \(x\)?

📌 Factor the quadratic: \((x - 2)(x - 3) = 0\).

📌 So, \(x = 2\) or \(x = 3\).

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