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ivann1987 [24]
3 years ago
7

One container is filled with a mixture that is 30% acid. A second container is filled with a mixture that is 50% acid. The secon

d container is 50% larger than the first, and the two containers are emptied into a third container. What percent of acid is the third container?
Mathematics
1 answer:
ludmilkaskok [199]3 years ago
8 0

Answer:

42% acid

Step-by-step explanation:

Suppose that these two storage containers are filled to complete capacity?

That makes the second container have 3 volume parts and the first container having 2 volume parts.

v*(1.50)= (3/2)*v

First Container     2v       30% acid

Second Container    3v       50% acid

The mixture of all of this is in the third container. Two parts plus three parts is 5 parts for the mix volume.

=(2*30+3*50)/5

=210/5

=42

So,

42 % Acid, mixture

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Represent the number 108 in expanded form and exponent
lubasha [3.4K]

<h3>108 = 3³ × 2²</h3>

<h3>Further explanation</h3>

Let's recall following formula about Exponents and Surds:

\boxed { \sqrt { x } = x ^ { \frac{1}{2} } }

\boxed { (a ^ b) ^ c = a ^ { b . c } }

\boxed {a ^ b \div a ^ c = a ^ { b - c } }

\boxed {\log a + \log b = \log (a \times b) }

\boxed {\log a - \log b = \log (a \div b) }

<em>Let us tackle the problem!</em>

\texttt{ }

108 = 54 \times 2

108 = (27 \times 2) \times 2

108 = (9 \times 3) \times 2 \times 2

108 = (3 \times 3) \times 3 \times 2 \times 2

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\texttt{ }

<h3>Conclusion:</h3>

The number 108 could be represented in expanded form and exponent as following:

\boxed{ 108 = 3^3 \times 2^2 }

\texttt{ }

<h3>Learn more</h3>
  • Coefficient of A Square Root : brainly.com/question/11337634
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  • Write 100,000 Using Exponents : brainly.com/question/2032116

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Exponents and Surds

Keywords: Power , Multiplication , Division , Exponent , Surd , Negative , Postive , Value , Equivalent , Perfect , Square , Factor.

#LearnWithBrainly

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