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Natalija [7]
3 years ago
13

How much pure acid is in 440 milliliters of a 19% solution

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
7 0

Answer:

83.6 mL

Step-by-step explanation:

Given 440 mL of 19% acid solution. This means the whole volume of this acid solution is 100%. Let x mL be the volume of pure acid in this solution.

Then

440\ mL - 100\%\\ \\x\ mL - 19\%

Write a proportion:

\dfrac{440}{x}=\dfrac{100}{19}

Cross multiply:

100\cdot x=440\cdot 19\\ \\x=\dfrac{440\cdot 19}{100}\\ \\x=\dfrac{8,360}{100}\\ \\x=83.60\ mL

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When x=-4, y=-4, then the point (-4,-4) is vertex of this second parabola.

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y =-x^2 + 5x + 14=-(x^2-5x-14),\\y=-(x^2-5x+\dfrac{25}{4}-\dfrac{25}{4}-14),\\y=-((x^2-5x+\dfrac{25}{4})-\dfrac{25}{4}-14),\\y=-((x-\dfrac{5}{2})^2-\dfrac{81}{4})=-(x-\dfrac{5}{2})^2+\dfrac{81}{4}.

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y =-x^2 + 7x + 7=-(x^2-7x-7),\\y=-(x^2-7x+\dfrac{49}{4}-\dfrac{49}{4}-7),\\y=-((x^2-7x+\dfrac{49}{4})-\dfrac{49}{4}-7),\\y=-((x-\dfrac{7}{2})^2-\dfrac{77}{4})=-(x-\dfrac{7}{2})^2+\dfrac{77}{4}.

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When x=2, y=13, then the point (2,13) is vertex of this sixth parabola.

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