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julia-pushkina [17]
3 years ago
13

How many ounces of a 40%

Mathematics
1 answer:
Vinil7 [7]3 years ago
3 0

Answer:

The quantity of 40% hydrochloric acid mixed with 12 ounces of a 15%  hydrochloric acid solutions is  18 ounces

Step-by-step explanation:

Given as :

Let The quantity of 40% hydrochloric acid mixed with 12 ounces of a 15%

hydrochloric acid = x ounces

So, Total quantity becomes = ( x + 12 ) ounces

<u>Now, According to question</u>

x × 40% + 12 × 15% = (x + 12) × 30%

Or, x × \dfrac{40}{100} + 12 × \dfrac{15}{100} = (x + 12) × \dfrac{30}{100}

Or, 40 x + 12 × 15 = (x + 12) × 30

Or, 40 x + 180 = 30 x + 360

Or, 40 x - 30 x = 360 - 180

Or, 10 x = 180

∴   x = \dfrac{180}{10}

i.e x = 18 ounces

So, The quantity of 40% hydrochloric acid mixed with 12 ounces of a 15%  hydrochloric acid solutions = x = 18 ounces

Hence, The quantity of 40% hydrochloric acid mixed with 12 ounces of a 15%  hydrochloric acid solutions is  18 ounces . Answer

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fiasKO [112]
The person and his shadow make a right triangle as well as the tree and it's shadow. they will be similar right triangles containing angles that are equal. I'm in similar triangles the angles are proportional so a ratio could be used to determine the shadow length. this ratio is:
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(Notice that both the height of the person and
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The 25/5 can be reduced to 5:
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this can be checked various ways. using trigonometry we have the opposite and adjacent sides so tangent could be used to find the angle between the shadow and the hypotenuse. this is:
tan (x) = opposite/adjacent
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these equations both reduce to:
tan (x) = 1/5
And of both equations are the same then the angLee are equal creating similar triangles and a correct answer
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The completely factored equation is (a²b - 5)(4a²b - 1)

<h3>How to factor equation?</h3>

4a⁴b² - 21a²b + 5 = 0

let's expand the equation

Therefore,

4a⁴b² - 21a²b + 5 = 0

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Rearrange the equation

4a⁴b² - a²b  - 20a²b + 5 = 0

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learn more on equation here: brainly.com/question/8842252

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