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Home » Solving for \(x\), we find: - High Altitude Science

Solving for \(x\), we find: - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 A car travels 120 miles in 3 hours. If it continues at the same speed, how many miles will it travel in 7 hours?

📌 Speed = \( \frac{120 \text{ miles}}{3 \text{ hours}} = 40 \text{ mph} \)

📌 Distance in 7 hours: \( 40 \times 7 = 280 \) miles

📌 The sum of the squares of two consecutive integers is 145. What is the larger integer?

📌 Let the integers be \( x \) and \( x+1 \).

📌 Equation: \( x^2 + (x+1)^2 = 145 \)

📌 Expand: \( x^2 + x^2 + 2x + 1 = 145 \) → \( 2x^2 + 2x + 1 = 145 \)

📌 Subtract 145: \( 2x^2 + 2x - 144 = 0 \) → divide by 2: \( x^2 + x - 72 = 0 \)

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