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Home » So the probability is $ \boxed\frac2764 $. - Crosslake

So the probability is $ \boxed\frac2764 $. - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Correct interpretation from context: The solution is poured sequentially into new bottles, each with half the capacity of the prior used bottle. Start with full 729 ml in first bottle (capacity 729). Next bottle capacity: 364.5, then 182.25, etc.

📌 We need to find how many bottles until total volume filled does not exceed 729? But total volume is fixed.

📌 Actually: The total volume is 729 ml, and we fill progressively into successively smaller bottles.

📌 But we stop when we can't fill completely?

📌 But the question asks: "how many bottles will be needed to fill the entire solution?"

📌 Assume: We start with +729 ml in 1st bottle (capacity 729), filled to full. Then poured into next bottle of 364.5, etc., until volume is fully transferred.

📌 But 364.5 < 729 → not possible.

📌 Alternative optimal: Place all 729 ml into a sequence of bottles where capacity halves each time, minimizing number. But question says "starting with the largest".

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+ x = 120
x = 24
### Question 14
A square and a circle have the same perimeter. If the side of the squa...
Perimeter of square:
\times 10 = 40 \text{ units}
Circumference of circle:
2\pi r = 40
r = \frac{40}{2 \times 3.14} = \frac{40}{6.28} \approx 6.37
#### 6.37

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