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Home » Java DB Connector: Unlock Faster Database Access with These Hidden Tips! - Feedz API

Java DB Connector: Unlock Faster Database Access with These Hidden Tips! - Feedz API

📅 May 16, 2026 👤 scraface

May 16, 2026

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📌 Solution: To find the least common multiple (LCM) of 12 and 18, factorize both: $12 = 2^2 \cdot 3$ and $18 = 2 \cdot 3^2$. The LCM takes the highest powers of all primes: $2^2 \cdot 3^2 = 4 \cdot 9 = 36$. Thus, the LCM is $\boxed{36}$.

📌 Question: A glaciologist measures ice cores every 5 meters and every 7 meters. What is the minimum depth where both measurements align?

📌 Solution: The minimum depth where both measurements coincide is the LCM of 5 and 7. Since 5 and 7 are prime, LCM(5, 7) = $5 \cdot 7 = 35$. The answer is $\boxed{35}$.

📌 Question: A science journalist recorded 10, 14, and 16 articles published in three months. What is the average number of articles per month?

📌 Solution: The arithmetic mean is calculated by summing the values and dividing by the count: $\frac{10 + 14 + 16}{3} = \frac{40}{3} \approx 13.\overline{3}$. The exact average is $\boxed{\dfrac{40}{3}}$.

📌 Question: The average of $4y - 3$, $2y + 5$, and $y + 7$ is 10. Find $y$.

📌 Solution: Sum the expressions: $(4y - 3) + (2y + 5) + (y + 7) = 7y + 9$. Divide by 3 and set equal to 10: $\frac{7y + 9}{3} = 10$. Multiply both sides by 3: $7y + 9 = 30$. Subtract 9: $7y = 21$. Divide by 7: $y = \boxed{3}$.

📌 Question: How many whole numbers lie between $3π$ and $5π$?

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