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Home » \( b = -8 \times 2 = -16 \). - Sterling Industries

\( b = -8 \times 2 = -16 \). - Sterling Industries

📅 April 15, 2026 👤 scraface

Apr 15, 2026

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📌 Une entreprise produit trois types de widgets : A, B et C. Si le rapport de production de A à B est de 3:2 et le rapport de production de B à C est de 4:5, quel est le rapport de production de A par rapport à C ?

📌 Soit le nombre de widgets de type A égal à \(3x\), B à \(2x\), et la production de B par rapport à C soit \(4y:5y\). Puisque B est 2x, on pose \(2x = 4y\), ce qui donne \(x = 2y\).

📌 En substituant \(x = 2y\) dans la production de A, on obtient \(A = 3x = 3(2y) = 6y\).

📌 L’production de B est \(2x = 4y\), et B par rapport à C est \(4y:5y\), donc C = \(\frac{5y}{4y} \times 4y = 5y\).

📌 Ainsi, le rapport \(A:C = 6y:5y = 6:5\).

📌 Un ballon est lancé verticalement vers le haut avec une vitesse initiale de 40 m/s. En supposant que l’accélération due à la gravité est de \(9.8 \, \text{m/s}^2\), combien de temps faudra-t-il au ballon pour atteindre son point le plus haut ?

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