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Home » You Won’t Believe How Perfectly Perfect Now’s 8 Inch Cakes Are! - High Altitude Science

You Won’t Believe How Perfectly Perfect Now’s 8 Inch Cakes Are! - High Altitude Science

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 First hour: 120 widgets.

📌 Second hour: 120 + 15% of 120 = 120 + 18 = 138 widgets.

📌 Third hour: 138 + 15% of 138 = 138 + 20.7 = 158.7 widgets.

📌 #### 158.7

📌 The sum of the squares of two consecutive integers is 85. What are the integers?

📌 Let the integers be \( n \) and \( n+1 \).

📌 Equation: \( n^2 + (n+1)^2 = 85 \).

📌 Simplify: \( n^2 + n^2 + 2n + 1 = 85 \) → \( 2n^2 + 2n + 1 = 85 \) → \( 2n^2 + 2n - 84 = 0 \).

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