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Home » The discounted price is \(200 - 30 = 170\) dollars. - Baxtercollege

The discounted price is \(200 - 30 = 170\) dollars. - Baxtercollege

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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$$ (\sqrt{3})^2 - (\sqrt{2})^2 = 3 - 2 = 1 $$
Thus, the expression becomes:
$$ \sqrt{5}(\sqrt{3} + \sqrt{2}) = \sqrt{15} + \sqrt{10} $$
The rationalized form is $ \boxed{\sqrt{15} + \sqrt{10}} $.
Question: A science journalist reports that a lab uses two reagents, A...
Solution: Let $ a $ = units of A, $ b $ = units of B.
$$ a + b = 15 $$
$$ 12a + 8b = 156 $$
From the first equation, $ b = 15 - a $. Substitute into the second:
$$ 12a + 8(15 - a) = 156 $$

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