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Home » What is the value of \(x + y\)? - Baxtercollege

What is the value of \(x + y\)? - Baxtercollege

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 An angel investor plans to distribute $100,000 among 5 startups equally. If each startup then invests 60% of their share into R&D, how much money will be invested in R&D across all startups?

📌 Each startup receives \(\frac{100,000}{5} = 20,000\). Each invests 60% in R&D: \(20,000 \times 0.6 = 12,000\). Across all 5 startups: \(12,000 \times 5 = 60,000\).

📌 A patent lawyer needs to review 8 different patent documents, each with 12 pages. If he can review 4 pages per hour, how many hours will it take to review all documents?

📌 Total pages: \(8 \times 12 = 96\). Hours needed: \(\frac{96}{4} = 24\).

📌 A STEM student builds a robot with a sequence of gears. If each gear has 10 teeth and the sequence consists of 3 gears in series, how many teeth are engaged when the gears rotate together?

📌 In a series, only the first gear’s teeth engage with the second, and the second’s engage with the third. Since teeth interlock pairwise, the total engaged teeth are those of two gears: \(10 + 10 = 20\).

📌 An AI startup has 7 engineers, and the company wants to form a 4-member innovation team. If at least 2 engineers must specialize in machine learning (and there are 4 such specialists), how many valid teams can be formed?

📌 We consider cases:

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