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Home » Then (5 - x) = liters of 80% alcohol. - Coaching Toolbox

Then (5 - x) = liters of 80% alcohol. - Coaching Toolbox

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 A train travels 300 km in 4 hours. If it maintains the same speed, how long will it take to travel 450 km?

📌 The speed is \( \frac{300}{4} = 75 \) km/h.

📌 Time to travel 450 km is \( \frac{450}{75} = 6 \) hours.

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

📌 A box contains 5 red, 7 blue, and 8 green marbles. If a marble is drawn at random, what is the probability it is not green?

📌 Non-green marbles = 5 + 7 = 12.

📌 Probability = \( \frac{12}{20} = \frac{3}{5} \).

📌 Sum of roots = \( -\frac{b}{a} = 3 + 5 = 8 \).

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