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Home » Kick Return Game Secrets: Secret Plays That Steal Turns Every Match! - Parker Core Knowledge

Kick Return Game Secrets: Secret Plays That Steal Turns Every Match! - Parker Core Knowledge

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 5Question: A piece of ribbon is 3.2 inches long and another is 7.8 inches long. What is the average length, in inches, of the two ribbons?

📌 Solution: To find the average length of the two ribbons, we add their lengths and divide by 2. The total length is \(3.2 + 7.8 = 11.0\) inches. Dividing by 2, we get \(\frac{11.0}{2} = 5.5\) inches. Thus, the average length is \(\boxed{5.5}\) inches.

📌 Question: How many positive four-digit numbers are divisible by 5?

📌 Solution: A four-digit number ranges from 1000 to 9999. A number is divisible by 5 if its last digit is 0 or 5. The smallest four-digit number divisible by 5 is 1000, and the largest is 9995. These form an arithmetic sequence with first term 1000, common difference 5, and last term 9995. The number of terms is given by \(\frac{9995 - 1000}{5} + 1 = \frac{8995}{5} + 1 = 1799 + 1 = 1800\). Therefore, there are \(\boxed{1800}\) four-digit numbers divisible by 5.

📌 Question: What is the greatest common factor of 68 and 102?

📌 Solution: We use the prime factorization method. \(68 = 2^2 \times 17\) and \(102 = 2 \times 3 \times 17\). The common prime factors are 2 and 17. Taking the lowest powers, we get \(2^1 \times 17^1 = 34\). Thus, the greatest common factor is \(\boxed{34}\).

📌 Question: How many whole numbers lie in the interval between \(\frac{5}{2}\) and \(3\pi\)?

📌 Solution: First, evaluate the boundary values. \(\frac{5}{2} = 2.5\). Since \(\pi \approx 3.1416\), we have \(3\pi \approx 9.4248\). We seek whole numbers \(n\) such that \(2.5 < n < 9.4248\). These are \(3, 4, 5, 6, 7, 8, 9\). Counting them, there are 7 whole numbers. Therefore, the answer is \(\boxed{7}\).

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