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Home » 2x + 5y = 10 \quad \text(2) - Parker Core Knowledge

2x + 5y = 10 \quad \text(2) - Parker Core Knowledge

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 Distance in the first 20 seconds: \(5 \, \text{m/s} \times 20 \, \text{s} = 100 \, \text{m}\)

📌 Distance in the next 30 seconds: \(8 \, \text{m/s} \times 30 \, \text{s} = 240 \, \text{m}\)

📌 Total distance: \(100 \, \text{m} + 240 \, \text{m} = 340 \, \text{m}\)

📌 #### 340 m

📌 An astronomer observes two stars. The first star's brightness increases by 15% every year, starting from 200 units. The second star's brightness decreases by 10% annually, starting from 250 units. What is the combined brightness after 1 year?

📌 Brightness of first star after 1 year: \(200 \, \text{units} \times 1.15 = 230 \, \text{units}\)

📌 Brightness of second star after 1 year: \(250 \, \text{units} \times 0.90 = 225 \, \text{units}\)

📌 Combined brightness: \(230 \, \text{units} + 225 \, \text{units} = 455 \, \text{units}\)

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