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sheraton north houston at george bush intercontinental - Professionaloutdoormedia

📅 May 15, 2026 👤 scraface

May 15, 2026

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📌 Thus, the number of distinct eating sequences is $ \boxed{27720} $.Question: Suppose $ v $ is a positive multiple of $ 5 $. If $ v^3 < 1700 $, what is the greatest possible value of $ v $?

📌 Solution: We are given that $ v $ is a positive multiple of $ 5 $ and $ v^3 < 1700 $. We want to find the largest such $ v $.

📌 Start by testing multiples of $ 5 $:

📌 $ v = 5 $: $ 5^3 = 125 < 1700 $

📌 $ v = 10 $: $ 10^3 = 1000 < 1700 $

📌 $ v = 15 $: $ 15^3 = 3375 > 1700 $ → Too large

📌 So $ v = 15 $ exceeds the bound. Try $ v = 14 $? But $ v $ must be a multiple of $ 5 $, so check $ v = 10 $ and $ v = 15 $.

📌 Since $ 10^3 = 1000 < 1700 $, and $ 15^3 = 3375 > 1700 $, the greatest

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