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📅 May 5, 2026 👤 scraface

May 05, 2026

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📌 \frac{V_{\text{tetrahedron}}}{V_{\text{sphere}}} = \frac{\frac{\sqrt{2}}{12} s^3}{\frac{\pi \sqrt{6}}{8} s^3} = \frac{\sqrt{2}}{12} \cdot \frac{8}{\pi \sqrt{6}} = \frac{2\sqrt{3}}{9\pi}

📌 Thus, the final answer is \(\boxed{\frac{2\sqrt{3}}{9\pi}}\).Question:

📌 A science journalist is writing an article and finds that two identical microscopes cost a total of \$120. What is the cost in dollars of five such microscopes?

📌 Let the cost of one microscope be \( x \). According to the problem, two microscopes cost \$120, so we can write the equation \( 2x = 120 \). To find the cost of one microscope, solve for \( x \) by dividing both sides by 2:

📌 x = \frac{120}{2} = 60

📌 Now, to find the cost of five microscopes, multiply the cost of one microscope by 5:

📌 5x = 5 \times 60 = 300

📌 Thus, the cost of five microscopes is \(\boxed{300}\).

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