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american fargo north dakota - Decision Point

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 $ -b = 2 \Rightarrow b = -2 $ (consistent).

📌 From $ b = -2 $, substitute into 2: $ c = 6 + 2a $. Let $ a $ be a free variable. Choosing $ a = 0 $, then $ c = 6 $. Thus, $ \mathbf{v} = \begin{pmatrix} 0 \\ -2 \\ 6 \end{pmatrix} $. Final answer: $ \boxed{\begin{pmatrix} 0 \\ -2 \\ 6 \end{pmatrix}} $.**Question 1:

📌 The ratio of the number of apples to oranges in a basket is 3:2. If there are 30 fruits in total, how many apples are in the basket?

📌 Let the number of apples be \(3x\) and the number of oranges be \(2x\).

📌 According to the problem, \(3x + 2x = 30\).

📌 This simplifies to \(5x = 30\).

📌 Solving for \(x\), we find \(x = 6\).

📌 Thus, the number of apples is \(3 \times 6 = 18\).

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