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Home » Total salt: \(0.6 + 1.0 = 1.6\) liters. - Silent Sales Machine

Total salt: \(0.6 + 1.0 = 1.6\) liters. - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Then the length is \( 2w \).

📌 The perimeter of a rectangle is given by \( 2(\text{length} + \text{width}) \).

📌 So, \( 2(2w + w) = 60 \).

📌 Simplifying gives \( 2(3w) = 60 \) or \( 6w = 60 \).

📌 Solving for \( w \), we find \( w = 10 \).

📌 Therefore, the length is \( 2w = 20 \).

📌 The area of the rectangle is \( \text{length} \times \text{width} = 20 \times 10 = 200 \) square units.

📌 A cylindrical tank with a radius of 3 meters and a height of 5 meters is filled with water. If water is drained at a rate of 2 cubic meters per minute, how long will it take to empty the tank?

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Since \( 20 \equiv 6 \equiv -1 \pmod{7} \), we have:
b \equiv 4 \pmod{7} \Rightarrow b \equiv -4 \equiv 3 \pmod{7}
So \( b = 7c + 3 \), then:
N = 20(7c + 3) + 7 = 140c + 60 + 7 = 140c + 67
Smallest positive \( N \) when \( c = 0 \): \( N = 67 \)
Check all conditions:
\( 67 \div 4 = 16 \times 4 = 64 \), remainder 3 → ✓
\( 67 \div 5 = 13 \times 5 = 65 \), remainder 2 → ✓
\( 67 \div 7 = 9 \times 7 = 63 \), remainder 4 → ✓
Thus, the smallest such \( N \) is:

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