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Home » Find $ b_k $ in simplest form. - Silent Sales Machine

Find $ b_k $ in simplest form. - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 \boxed{-\frac{7}{5}}

📌 Question: One piece of thread is 3.75 inches long and another is 8.25 inches long. What is the average length, in inches, of these two pieces?

📌 Solution: The average length is calculated by adding the two lengths and dividing by 2:

📌 \text{Average} = \frac{3.75 + 8.25}{2} = \frac{12}{2} = \boxed{6}

📌 Question: What is the smallest prime factor of $ 1211 $?

📌 Solution: To find the smallest prime factor of 1211, we test divisibility by small primes. First, 1211 is odd, so not divisible by 2. The sum of the digits is $ 1 + 2 + 1 + 1 = 5 $, not divisible by 3. It doesn't end in 0 or 5, so not divisible by 5. Next, test divisibility by 7:

📌 \div 7 \approx 173 \quad \text{(not an integer)}

📌 Test divisibility by 11:

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