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kinley cincinnati downtown a tribute portfolio hotel - IQnection

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 Question: The average of \(3v+4\), \(5v-2\), and \(4v+7\) is what expression in terms of \(v\)?

📌 Solution: To find the average, sum the three expressions and divide by 3. The sum is \((3v + 4) + (5v - 2) + (4v + 7) = 3v + 5v + 4v + 4 - 2 + 7 = 12v + 9\). Dividing by 3, we get \(\frac{12v + 9}{3} = 4v + 3\). Thus, the average is \(\boxed{4v + 3}\).1. اشترت شركة مقاعد مكتبية وطاولات. كل مكتب يكلف 120 دولارًا، وكل طاولة تكلف 180 دولارًا. إذا أنفقت الشركة 7,800 دولارًا في المجموع واشترت 30 قطعة في المجموع، فكم عدد المقاعد التي اشتروها؟

📌 لتكن \( x \) عدد المكاتب و \( y \) عدد الطاولات.

📌 \( x + y = 30 \)

📌 \( 120x + 180y = 7800 \)

📌 بحل هاتين المعادلتين، استبدل \( y = 30 - x \) في المعادلة الثانية:

📌 \( 120x + 180(30 - x) = 7800 \)

📌 \( 120x + 5400 - 180x = 7800 \)

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