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Home » From Zero to Sleeper Twist: The Dream Home Hack You Need Now! - Abbey Badges

From Zero to Sleeper Twist: The Dream Home Hack You Need Now! - Abbey Badges

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 A train travels 300 miles at a speed of 60 mph, then continues for another 200 miles at 80 mph. What is the train's average speed for the entire journey?

📌 Total distance = 300 + 200 = 500 miles.

📌 Total time = 5 + 2.5 = 7.5 hours.

📌 Average speed = \( \frac{500}{7.5} \approx 66.67 \) mph.

📌 If \( \log_2(x) + \log_2(8) = 5 \), what is the value of \( x \)?

📌 Use the property: \( \log_2(x) + \log_2(8) = \log_2(8x) \).

📌 So, \( \log_2(8x) = 5 \).

📌 Convert to exponential form: \( 8x = 2^5 \).

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