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Home » Solution: Let $ x = \sqrt7 + 2\sqrt10 + \sqrt7 - 2\sqrt10 $. We compute $ x^2 $: - Crosslake

Solution: Let $ x = \sqrt7 + 2\sqrt10 + \sqrt7 - 2\sqrt10 $. We compute $ x^2 $: - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 The balance after one year is \(1,000 + 50 = 1,050\) dollars.

📌 #### 1,050Question: A robotics engineer needs to program a robot to cut a 10-meter wire into pieces of 1.25 meters each. How many full pieces can the robot cut from the wire?

📌 Solution: To find the number of full pieces, divide the total length by the length of each piece:

📌 \frac{10}{1.25} = \frac{10 \times 100}{125} = \frac{1000}{125} = 8

📌 Thus, the robot can cut $\boxed{8}$ full pieces.

📌 Question: A soil scientist collects 3/4 of a liter of soil solution and uses 5/8 of a liter for testing. How much of the solution remains, in liters?

📌 \frac{3}{4} - \frac{5}{8} = \frac{6}{8} - \frac{5}{8} = \frac{1}{8}

📌 The remaining amount of soil solution is $\boxed{\frac{1}{8}}$ liters.

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Total de horas necesarias = \(\frac{3600}{150} = 24\) horas
Con 8 horas de producción por día, necesitan \(\frac{24}{8} = 3\) días
Cada día tienen 7 horas efectivas de producción (1 hora de descanso)
Días totales = 3, Horas totales = \(3 \times 8 = 24\) horas
Horas trabajadas = \(3 \times 7 = 21\) horas
Dado que 24 horas son requeridas y solo 21 se trabajan sin contar desc...
Horas totales tomadas = \(4 \times 8 = 32\) horas (incluyendo días de...
Un campo rectangular es 150 metros más largo que ancho. Si el perímetr...
Sea el ancho = \(w\), entonces la longitud = \(w + 150\)
Fórmula del perímetro: \(2(\text{longitud} + \text{ancho}) = 1400\)

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