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Home » The distance \(d\) traveled can be calculated using: - Dyverse

The distance \(d\) traveled can be calculated using: - Dyverse

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Set equal to $ 5x - 2 $:

📌 \frac{7x + 12}{3} = 5x - 2 \implies 7x + 12 = 15x - 6 \implies -8x = -18 \implies x = \frac{9}{4}.

📌 The solution is $ \boxed{\frac{9}{4}} $.

📌 Solution: The smallest 4-digit number divisible by 11 is $ 1001 $ (since $ 1001 \div 11 = 91 $), and the largest is $ 9999 $ (since $ 9999 \div 11 = 909 $). The count is $ 909 - 91 + 1 = 819 $.

📌 The answer is $ \boxed{819} $.Question: A digital literacy advocate is organizing a workshop with 8 distinct tech tutorials and 5 community centers. How many distinct ways can the tutorials be assigned to centers if each center can receive any number of tutorials?

📌 Solution: Each of the 8 distinct tutorials can be assigned to any of the 5 centers. Since assignments are independent, the total number of ways is $5^8 = 390625$. Thus, the answer is $\boxed{390625}$.

📌 Question: A middle school student is building a model bridge with 6 unique metal rods and 3 distinct connector bars. How many distinct configurations are possible if each rod can be paired with any connector?

📌 Solution: For each of the 6 rods, there are 3 choices of connectors. The total configurations are $3^6 = 729$. Therefore, the answer is $\boxed{729}$.

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