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what water do you use for formula - Network4

📅 May 19, 2026 👤 scraface

May 19, 2026

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📌 Question: The lines $ 3x + 2y = 6 $ and $ x - y = 1 $ intersect at point $ (a, b) $. Find $ a $.

📌 Solution: Solve the system: From $ x - y = 1 $, express $ x = y + 1 $. Substitute into the first equation: $ 3(y + 1) + 2y = 6 \Rightarrow 3y + 3 + 2y = 6 \Rightarrow 5y = 3 \Rightarrow y = \frac{3}{5} $. Then $ x = \frac{3}{5} + 1 = \frac{8}{5} $. \boxed{\dfrac{8}{5}}

📌 Question: A bioinformatician analyzes a DNA sequence where the number of mutations follows $ m(n) = n^2 - 4n + 7 $. What is $ m(3) $?

📌 Solution: Substitute $ n = 3 $: $ m(3) = 3^2 - 4(3) + 7 = 9 - 12 + 7 = 4 $. \boxed{4}1. A train travels 150 miles in 3 hours at a constant speed. If it continues at the same speed, how many miles will it cover in 5 hours?

📌 Speed of the train = 150 miles / 3 hours = <<150/3=50>>50 miles per hour.

📌 Distance in 5 hours = 50 miles/hour * 5 hours = <<50*5=250>>250 miles.

📌 The sum of three consecutive even integers is 54. What is the largest integer?

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