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Home » Let \(x\) be the amount of 70% solution added. - High Altitude Science

Let \(x\) be the amount of 70% solution added. - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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🔥 Popular Posts

b_4 = \frac{904518 - 97336}{1594323} = \frac{807182}{1594323}
Thus, $ b_4 = \boxed{\dfrac{807182}{1594323}} $.
Question: A science policy analyst studying energy output models a sys...
Solution: Let $ u = \sqrt{x} $, so $ x = u^2 $, and $ P(x) = u^2 \cdot...
Set $ u^3 - 5u^2 + 6u = 0 $. Factor:
u(u^2 - 5u + 6) = 0 \Rightarrow u(u - 2)(u - 3) = 0
So $ u = 0, 2, $ or $ 3 $. Since $ x = u^2 $, the corresponding $ x $-...
$ u = 0 \Rightarrow x = 0 $
$ u = 2 \Rightarrow x = 4 $
$ u = 3 \Rightarrow x = 9 $

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New water content = \( 30 + x \) liters.
Set up the equation: \( \frac{30 + x}{50 + x} = 0.8 \).
Solving, \( 30 + x = 0.8(50 + x) \) → \( 30 + x = 40 + 0.8x \) → \( 0....
If the sum of the squares of two consecutive integers is 85, what are...
Simplifying: \( x^2 + x^2 + 2x + 1 = 85 \) → \( 2x^2 + 2x - 84 = 0 \).
Factoring: \( (x + 7)(x - 6) = 0 \).
A circle’s circumference is 31.4 meters. What is its area?
Circumference \( C = 2\pi r = 31.4 \).
Solving for \( r \): \( r = \frac{31.4}{2\pi} \approx 5 \) meters.
Area \( A = \pi r

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