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Home » Convert to percent: 0.737 × 100 = 73.7%. - go-checkin.com

Convert to percent: 0.737 × 100 = <<0.737*100=73.7>>73.7%. - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 $$Question: How many of the 100 smallest positive integers are congruent to 3 modulo 7?

📌 Solution: We are asked to count how many of the first 100 positive integers satisfy the congruence:

📌 n \equiv 3 \pmod{7}

📌 This means $ n = 7k + 3 $ for some integer $ k $.

📌 We want $ 1 \leq 7k + 3 \leq 100 $.

📌 Subtracting 3 from all parts:

📌 Dividing by 7:

📌 -\frac{2}{7} \leq k \leq \frac{97}{7} \approx 13.857

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Thus, the number of unique activation sequences is $\boxed{1260}$.
\boxed{1260}
Question: A startup uses a rotation-based irrigation system activated...
Solution: We seek the number of distinct permutations of a multiset: 1...
\frac{10!}{5! \cdot 3! \cdot 2!}
Compute:
10! = 3628800,\quad 5! = 120,\quad 3! = 6,\quad 2! = 2
\frac{3628800}{120 \cdot 6 \cdot 2} = \frac{3628800}{1440} = 2520
Thus, the number of distinct activation orders is $\boxed{2520}$.
\boxed{2520}Question: An industrial designer creates a series of modul...

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