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Artemon [7]
2 years ago
14

One mixture contains 6 fluid Ounces of water and 10 fluid Ounces of vinegar. A second mixture

Mathematics
1 answer:
Nadya [2.5K]2 years ago
5 0

Answer:

The mixtures are not proportional.

3 fluid ounces of vinegar has to be added in the second mixture to make it proportional to the first mixture.

its =3

Step-by-step explanation:

The one mixture contains 6 fluid ounces and 10 fluid ounces of water and vinegar respectively.

Therefore, the ratio of water to vinegar in the first mixture is 6 : 10 = 3 : 5

Now, a second mixture contains 9 fluid ounces of water and 12 fluid ounces of vinegar.

Hence, the ratio of water to vinegar in the second mixture is 9 : 12 = 3 : 4

Therefore, the mixtures are not proportional.

Therefore, we have to add x fluid ounces of vinegar to the second mixture to make it in the ratio of 3 : 5.

So,

⇒ 12 + x = 15

⇒ x = 3 fluid ounces.

Therefore, 3 fluid ounces of vinegar has to be added in the second mixture to make it proportional to the first mixture. (Answer

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Based on the calculations, the sum of this geometric series is equal to 9,990.

<h3>The standard form of a geometric series.</h3>

Mathematically, the standard form of a geometric series can be represented by the following expression:

\sum^{n-1}_{k=0}a_1(r)^k

Where:

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<h3>How to calculate the sum of a geometric series?</h3>

Also, the sum of a geometric series is given by this mathematical expression:

S=\frac{a_1(1-r^n)}{1-r}

<u>Given the following data:</u>

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Substituting the given parameters into the formula, we have;

S=\frac{9000(1-0.1^3)}{1-0.1}\\\\S=\frac{9000(1-0.001)}{1-0.1}

S = 9000(0.999)/0.9

S = 8,991/0.9

S = 9,990.

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27 minutes is 3 times as long as 9 minutes, meaning it would be 3 times as more feet. it would crawl 33 feet in 27 minutes.

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Step-by-step explanation:

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So one angle is of measurement 130 degree and the other angle is of measurement 50 degree.

<h3>What are angles?</h3>

When two rays are linked at their ends, they create an angle in geometry. The sides or arms of the angle are what are known as these rays.

When two lines meet at a point, an angle is created.

An "angle" is the measurement of the "pening" between these two rays. It is symbolized by the character. The circularity or rotation of an angle is often measured in degrees and radians.

Angles are a common occurrence in daily life.

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According to our question-

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