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Home » Samples with apple only: \( 105 - 40 = 65 \) - go-checkin.com

Samples with apple only: \( 105 - 40 = 65 \) - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 A climate risk analyst finds that the total emissions from two sectors in a city, \( x \) and \( y \), satisfy \( x + y = 100 \) tons and \( x^2 + y^2 = 5200 \) tons\(^2\). Find \( x^3 + y^3 \).

📌 We start with the given equations:

📌 x + y = 100

📌 x^2 + y^2 = 5200

📌 Plugging in the known values:

📌 100^2 = 5200 + 2xy

📌 = 5200 + 2xy

📌 2xy = 4800 \quad \Rightarrow \quad xy = 2400

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