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Home » 2y + \frac12y \geq 2\sqrt{2y \cdot \frac12y} = 2 - Baxtercollege

2y + \frac12y \geq 2\sqrt{2y \cdot \frac12y} = 2 - Baxtercollege

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 A train travels 150 miles at a speed of 50 mph and then another 200 miles at 80 mph. What is the average speed of the train for the entire journey?

📌 The time for the first part is \( \frac{150}{50} = 3 \) hours.

📌 The time for the second part is \( \frac{200}{80} = 2.5 \) hours.

📌 The total distance is \( 150 + 200 = 350 \) miles.

📌 The total time is \( 3 + 2.5 = 5.5 \) hours.

📌 The average speed is \( \frac{350}{5.5} \approx 63.64 \) mph.

📌 A box contains red, blue, and green balls. There are twice as many red balls as blue balls, and three times as many green balls as red balls. If there are 12 blue balls, how many balls are there in total?

📌 Let the number of blue balls be \( b = 12 \).

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