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Home » the college football playoff committee released its new rankings - Anadea

the college football playoff committee released its new rankings - Anadea

📅 May 17, 2026 👤 scraface

May 17, 2026

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📌 Solution: Average equation: $ \frac{(4z - 3) + (2z + 5) + (z + 1)}{3} = 6 $. Simplify numerator: $ 7z + 3 = 18 $. Subtract 3: $ 7z = 15 $. Divide: $ z = \frac{15}{7} $. \boxed{\dfrac{15}{7}}

📌 Question: A science journalist notes that 60% of their articles are about climate science. If they wrote 45 articles on climate science, how many total articles have they written?

📌 Solution: Let total articles be $ x $. $ 0.6x = 45 $. Divide: $ x = \frac{45}{0.6} = 75 $. \boxed{75}Question: If $\frac{a + b}{a - b} + \frac{a - b}{a + b} = 3$, find the value of $\frac{a^2 + b^2}{a^2 - b^2}$.

📌 \frac{a + b}{a - b} + \frac{a - b}{a + b} = 3

📌 Let’s combine the terms on the left-hand side:

📌 \frac{(a + b)^2 + (a - b)^2}{(a - b)(a + b)} = 3

📌 Expand the numerator:

📌 Adding them:

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