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Home » Discover the Exact Decimal for 1/16 – You’ll Never Look at Fractions the Same Way! - AMAZONAWS

Discover the Exact Decimal for 1/16 – You’ll Never Look at Fractions the Same Way! - AMAZONAWS

📅 March 6, 2026 👤 scraface

Mar 06, 2026

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📌 5Lena, a high school student in the STEM program, is designing a circuit with three resistors in parallel. The resistances are \(12 \, \Omega\), \(6 \, \Omega\), and \(4 \, \Omega\). What is the total resistance of the circuit in ohms?

📌 The formula for total resistance \(R_{\text{total}}\) in parallel is:

📌 \frac{1}{R_{\text{total}}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3}

📌 \frac{1}{R_{\text{total}}} = \frac{1}{12} + \frac{1}{6} + \frac{1}{4}

📌 Find a common denominator (12):

📌 \frac{1}{R_{\text{total}}} = \frac{1}{12} + \frac{2}{12} + \frac{3}{12} = \frac{6}{12} = \frac{1}{2}

📌 Invert to solve:

📌 R_{\text{total}} = 2 \, \Omega

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Relative speed: \(90 - 60 = 30\) km/h
Time to catch up: \(\frac{120}{30} = 4\) hours
Total time from first train: \(2 + 4 = 6\) hours
#### 6 hours
The product of two consecutive even integers is 168. Find the smaller...
Let integers: \(x\) and \(x + 2\)
\(x(x + 2) = 168 \Rightarrow x^2 + 2x - 168 = 0\)
Discriminant: \(4 + 672 = 676 = 26^2\)
\(x = \frac{-2 \pm 26}{2} \Rightarrow x = 12\) or \(x = -14\)
Smaller: 12 (positive solution)

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