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A solution is made by mixing 3 liters of a 20% salt solution with 2 liters of a 50% salt solution. What is the concentration of the resulting mixture?
Salt in 20% solution: \(0.20 \times 3 = 0.6\) liters.
Salt in 50% solution: \(0.50 \times 2 = 1.0\) liter.
Total salt: \(0.6 + 1.0 = 1.6\) liters.
Total volume: \(3 + 2 = 5\) liters.
Concentration: \(\frac{1.6}{5} \times 100 = 32\%\).
If \(x^2 - 5x + 6 = 0\), what are the values of \(x\)?
Factor the quadratic: \((x - 2)(x - 3) = 0\).
So, \(x = 2\) or \(x = 3\).
A cylindrical tank with radius 3 meters and height 5 meters is filled with water. What is the volume of water in cubic meters? (Use \(\pi \approx 3.14\))