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Home » \frac108216 = \boxed{\frac12} - NBX Soluciones

\frac108216 = \boxed{\frac12} - NBX Soluciones

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 Count these divisors: there are 15 such divisors.

📌 Since \( v \) is a positive integer \(\leq 30\), there are 30 possible choices for \( v \). Therefore, the probability that \( v \) is a factor of 360 is:

📌 \frac{15}{30} = \frac{1}{2}

📌 Thus, the probability is \(\boxed{\frac{1}{2}}\).

📌 Question:** The average of \( 3v+2 \), \( 5v-1 \), and \( 4v+7 \) is required. If \( v \) is a positive integer and the average must be less than 25, what is the maximum possible value of \( v \)?

📌 First, compute the average of the three expressions:

📌 \text{Average} = \frac{(3v+2) + (5v-1) + (4v+7)}{3} = \frac{12v + 8}{3} = 4v + \frac{8}{3}

📌 We require this average to be less than 25:

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