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Home » Let \( x \) be the original weekly water usage. - Tacotoon

Let \( x \) be the original weekly water usage. - Tacotoon

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 If a car travels at an average speed of 60 miles per hour, how far will it travel in 3 hours and 45 minutes?

📌 Convert 3 hours and 45 minutes to hours: \(3 + \frac{45}{60} = 3.75\) hours. The distance traveled is \(60 \times 3.75 = 225\) miles.

📌 A square plot of land has a side length of 50 meters. If a path of 2 meters wide is built around the plot, what is the area of the path?

📌 The side length of the outer square, including the path, is \(50 + 2 \times 2 = 54\) meters. The area of the outer square is \(54^2 = 2916\) square meters. The area of the inner square is \(50^2 = 2500\) square meters. The area of the path is \(2916 - 2500 = 416\) square meters.

📌 A geometric sequence starts with 3 and has a common ratio of 4. What is the 6th term of the sequence?

📌 The \(n\)-th term of a geometric sequence is given by \(a_n = a \cdot r^{n-1}\), where \(a = 3\) and \(r = 4\). The 6th term is \(3 \times 4^{5} = 3 \times 1024 = 3072\).

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