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e 4 \), invalid. - RedTag Digital

📅 May 17, 2026 👤 scraface

May 17, 2026

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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...
Volume of a cylinder: \(V = \pi r^2 h\).

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Use elimination. Multiply equation (1) by 5 and equation (2) by 4:
15x - 20y &= 60 \quad \text{(from (1))\times 5} \\
8x + 20y &= 40 \quad \text{(from (2))\times 4}
\end{aligned}
Add the equations:
Substitute \( x = \frac{100}{23} \) into equation (2):
2\left(\frac{100}{23}\right) + 5y = 10 \Rightarrow \frac{200}{23} + 5y...
\Rightarrow 5y = 10 - \frac{200}{23} = \frac{230 - 200}{23} = \frac{30...
\Rightarrow y = \frac{30}{23 \times 5} = \frac{6}{23}
The intersection point is:

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