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Home » 5; "New Asteroids Video Game Drops—install Now or Be Left Behind in Space Chaos!" - ToelettAPP

5; "New Asteroids Video Game Drops—install Now or Be Left Behind in Space Chaos!" - ToelettAPP

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 يحدث التضاعف كل 3 ساعات، لذا فإن عدد فترات التضاعف في 18 ساعة هو \( \frac{18}{3} = 6 \).

📌 العدد النهائي = \( 500 \times 2^6 = 500 \times 64 = 32000 \).

📌 تنتج شركة نوعين من الأدوات، أ و ب. يتطلب الجهاز أ ساعتين من العمل، بينما يتطلب الجهاز ب 3 ساعات. إذا كان إجمالي العمل المتاح 100 ساعة والشركة تنتج 10 أدوات إجمالاً، فكم عدد كل نوع تم إنتاجه؟

📌 لتكن \( x \) عدد الجهاز أ، و \( y \) عدد الجهاز ب.

📌 \( x + y = 10 \)

📌 \( 2x + 3y = 100 \)

📌 استبدال \( y = 10 - x \) في المعادلة الثانية:

📌 \( 2x + 3(10 - x) = 100 \)

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$ \Rightarrow 7a + 3b + c = -4 \quad \text{(5)} $
$ (27a + 9b + 3c + d) - (8a + 4b + 2c + d) = 5 - (-1) $
$ \Rightarrow 19a + 5b + c = 6 \quad \text{(6)} $
$ (64a + 16b + 4c + d) - (27a + 9b + 3c + d) = -7 - 5 $
$ \Rightarrow 37a + 7b + c = -12 \quad \text{(7)} $
$ (19a + 5b + c) - (7a + 3b + c) = 6 - (-4) $
$ \Rightarrow 12a + 2b = 10 \Rightarrow 6a + b = 5 \quad \text{(8)} $
$ (37a + 7b + c) - (19a + 5b + c) = -12 - 6 $
$ \Rightarrow 18a + 2b = -18 \Rightarrow 9a + b = -9 \quad \text{(9)}...
Subtract (8) from (9):

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