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5 gallon glass water jug - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 A pyramid with a square base has a base side length of 4 meters and a slant height of 5 meters. What is the lateral surface area of the pyramid?

📌 The lateral surface area of a pyramid is given by:

📌 \text{Lateral Surface Area} = \frac{1}{2} \times \text{perimeter of base} \times \text{slant height}

📌 The perimeter of the base is:

📌 \times 4 = 16 \text{ meters}

📌 \text{Lateral Surface Area} = \frac{1}{2} \times 16 \times 5 = 40 \text{ square meters}

📌 A company sells two types of laptops: Model A at $800 each and Model B at $1200 each. If the total sales revenue is $24,000 and they sold 5 more Model A laptops than Model B, how many of each model were sold?

📌 Let \( x \) be the number of Model B laptops sold. Then \( x + 5 \) is the number of Model A laptops sold. The revenue equation is:

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To solve the system of equations, we have:
\( 5h + 3k = 15 \)
\( 2h - k = 4 \)
First, solve the second equation for \( k \):
\[ k = 2h - 4 \]
Substitute \( k = 2h - 4 \) into the first equation:

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