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Home » Average speed is \(\frac3505 = 70\) km/h. - Aurero

Average speed is \(\frac3505 = 70\) km/h. - Aurero

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 The GCD is obtained by taking the minimum exponent for each common prime:

📌 \text{GCD}(48, 72) = 2^3 \times 3 = 8 \times 3 = 24

📌 Thus, the largest number of regions that can be in each group is

📌 Question: A science journalist is organizing a chart showing the number of flower species observed in 360 different samples. If each chart column represents a number of samples and the number of columns must be a multiple of both 6 and 10, what is the smallest number of samples per column possible?

📌 Solution: To find the smallest number of samples per column such that the number of columns is a multiple of both 6 and 10, we compute the least common multiple (LCM) of 6 and 10:

📌 \text{LCM}(6, 10) = \text{LCM}(2 \times 3, 2 \times 5) = 2 \times 3 \times 5 = 30

📌 So there must be at least 30 columns. To minimize the number of samples per column, we use the smallest number of columns that satisfies the condition, which is 30. Then the number of samples per column is:

📌 \div 30 = 12

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