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Home » \( n \equiv 2 \pmod5 \Rightarrow n^2 \equiv 4 \pmod5 \), - ClickBalance

\( n \equiv 2 \pmod5 \Rightarrow n^2 \equiv 4 \pmod5 \), - ClickBalance

📅 May 18, 2026 👤 scraface

May 18, 2026

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📌 The new total volume is \( 10 + x \) liters, and the new alcohol content is \( 4 + x \) liters.

📌 The equation is \( \frac{4 + x}{10 + x} = 0.6 \).

📌 Solving, \( 4 + x = 0.6(10 + x) \) leads to \( 4 + x = 6 + 0.6x \).

📌 Simplifying, \( 0.4x = 2 \) gives \( x = 5 \).

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

📌 A car rental company charges $50 per day plus $0.20 per mile driven. If a customer rents a car for 3 days and drives 150 miles, what is the total cost?

📌 Daily charge is \( 3 \times 50 = 150 \) dollars.

📌 Mileage charge is \( 150 \times 0.20 = 30 \) dollars.

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