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Distance on 15 gallons: - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 \boxed{31}

📌 A marine biotechnology researcher is analyzing the growth of microalgae in controlled conditions. The growth rates (in grams per day) over three consecutive days are represented by three consecutive integers, and their sum is 33 grams. What is the growth rate on the third day?

📌 Let the growth rates on the three consecutive days be \(x\), \(x+1\), and \(x+2\). The sum of these rates is:

📌 x + (x+1) + (x+2) = 3x + 3 = 33

📌 Solving for \(x\), we have:

📌 3x + 3 = 33 \implies 3x = 30 \implies x = 10

📌 Thus, the growth rates are \(10\), \(11\), and \(12\) grams per day. The growth rate on the third day is:

📌 \]Question: A primatologist observes that the number of vocalizations made by a troop of chimpanzees follows an arithmetic sequence over five consecutive days. If the total number of vocalizations over the five days is 120, and the difference between the number of vocalizations on the last day and the first day is 16, what is the number of vocalizations on the third day?

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