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how to clean a water softener - Parker Core Knowledge

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 \boxed{200}

📌 An epidemiologist is modeling the spread of a disease and uses two different parameters: one cycle every 8 days and another every 12 days. What is the least common multiple of these two cycle lengths?

📌 To find the least common multiple (LCM) of 8 and 12, we first determine their prime factorizations:

📌 \[ 12 = 2^2 \times 3 \]

📌 Highest powers: \(2^3\), \(3^1\)

📌 \[ 2^3 \times 3 = 8 \times 3 = 24 \]

📌 The least common multiple of the cycle lengths is \(\boxed{24}\).**Question:

📌 A bioinformatician analyzing genetic sequences finds that the ratio of adenine (A) to thymine (T) bases in a DNA sample is $5:3$. If there are 15 adenine bases, how many thymine bases are there?

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