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\textNumber of primes = 10 - AMAZONAWS
\textNumber of primes = 10 - AMAZONAWS
📅 March 6, 2026
👤 scraface
Mar 06, 2026
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📌 Substitute \(x = -\frac{4}{5}\) into \(y = 2x + 3\):
📌 and $ L $ is a multiple of 7 (since pipes are seven units long and total length is a sum of such pipes). However, note: the problem states the *total length of installed pipe* is one more than a multiple of 13âso $ L \equiv 1 \pmod{13} $, and $ L $ must be expressible as a sum of multiples of 7. But since individual pipes are 7 units, any valid total length must be a multiple of 7. So we seek the smallest two-digit number $ L $ such that:
📌 Hence, the largest possible total duration is $ oxed{39} $.
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