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Home » \div 7 \approx 14.2857 - Leaselab

\div 7 \approx 14.2857 - Leaselab

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 The final answer is \boxed{13}.

📌 Question: Suppose $ p $ is a positive multiple of 7. If $ p $ squared is less than 1000, what is the largest possible value of $ p $?

📌 Solution: Find the largest integer $ p $ such that $ p^2 < 1000 $ and $ p $ is a multiple of 7.

📌 \sqrt{1000} \approx 31.62 \Rightarrow p \leq 31

📌 The largest multiple of 7 ≤ 31 is 28 (since $ 7 \times 4 = 28 $, and $ 7 \times 5 = 35 > 31 $).

📌 Check $ 28^2 = 784 < 1000 $, and $ 35^2 = 1225 > 1000 $.

📌 The largest possible value is \boxed{28}.

📌 Question: Find the least common multiple of 18 and 24, representing the cycles of two recurring scientific hypotheses.

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