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Masteriza [31]
2 years ago
15

Help mee pleaaseee!!!!!

Mathematics
2 answers:
iragen [17]2 years ago
5 0
C = is the correct answer
borishaifa [10]2 years ago
3 0

Answer: C) =

Step-by-step explanation: You can convert -14/4 from a fraction into a decimal. Take the denominator, 4, how many times does it go into the numerator, 14? 4 goes into 14 exactly 3.5 times. So, that means if the fraction was -14/4, you need to take that negative sign and put it in front of your decimal. Once you do that, you see that both the first and second number turn out to be the same number, -3.5. Therefore, your answer is C, as the numbers are equal to one another.

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A boy thinks he has discovered a way to drink extra orange juice without alerting his parents. For every cup of orange juice he
mina [271]

Answer:

<em>x=4.8473 cups</em>

Step-by-step explanation:

<u>Concentration of Liquids </u>

It measures the amount of substance present in a mixture, often expressed as %. If there is an volume x of a substance in a total volume mix of y, the concentration is given by

\displaystyle C=\frac{x}{y}

It we take a sample of that mixture, we must consider that we are getting only the substance, but all the mixture (assumed it has been uniformly mixed). For example, if we take a glass of liquid from a 80% mixture of juice, the glass will also have a 80% of juice.

Let's solve the problem sequentially. At first, let's assume all the container is full of x cups of juice. Its concentration is 100%. Now let's take 1 cup of pure juice and replace it by 1 cup of pure water. The new amount of juice in the container is

x-1 cups of juice.

The new concentration is

\displaystyle \frac{x-1}{x}

The boy takes a second cup of liquid, but this time it's not pure juice, it has a mixture of juice and water with a concentration computed above. Now the amount of juice is

\displaystyle x-1-\frac{x-1}{x} cups of juice.

Simplifying, the cups of juice are

\displaystyle \frac{\left (x-1\right)^2}{x}

The new concentration is

\displaystyle \frac{\left (x-1\right)^2}{x^2}

For the third time, we now have

\displaystyle \frac{\left (x-1\right)^2}{x}-\frac{\left (x-1\right)^2}{x^2} cups of juice.

Simplifying, the final amount of juice is

\displaystyle \frac{\left (x-1\right)^3}{x^2}

And the final concentration is

\displaystyle \frac{\left (x-1\right)^3}{x^3}

According to the conditions of the question, this must be equal to 50% (0.5)

\displaystyle \frac{\left (x-1\right)^3}{x^3}=0.5

Taking cubic roots

\displaystyle \sqrt[3]{\frac{\left (x-1\right)^3}{x^3}}=\sqrt[3]{0.5}

\displaystyle \frac{\left (x-1\right)}{x}=\sqrt[3]{0.5}

Operating and joining like terms

\displaystyle x-\sqrt[3]{0.5}\ x=1

Solving for x

\displaystyle x=\frac{1}{1-\sqrt[3]{0.5}}

x=4.8473\ cups

Let's test our result

Final concentration:

\displaystyle \frac{\left (4.8473-1\right)^3}{4.8473^3}=0.5

6 0
3 years ago
WILL DO A BRAINLY! Which statement is true about this right triangle?
maria [59]

Answer:

The first one. Y^2 + Z^2 = X^2

Step-by-step explanation:

Using the Pythagorean theorem you would do a^2 + b^2= c^2 where a=y b=z and c=x.

5 0
3 years ago
С
Feliz [49]

Answer:

That's what I think the answer is

CB = CA - AB

= -8 - 29

= -37

6 0
3 years ago
Suppose we want a 90% confidence interval for the average amount spent on entertainment (movies, concerts, dates, etc.) by fresh
katovenus [111]

Answer:

609

Step-by-step explanation:

Standard deviation = \sigma = $30

Margin of error = E = $2

Confidence level = 90%

Since the distribution is said to be normal, we will use z scores to solve this problem.

The z score for 90% confidence level = z = 1.645

Sample size= n = ?

The formula to calculate the margin of error is:

E=z\frac{\sigma}{\sqrt{n}}\\\\\sqrt{n}=z\frac{\sigma}{E}\\\\n=(\frac{z\sigma}{E} )^{2}

Using the values in above equation, we get:

n=(\frac{1.645 \times 30}{2} )^{2}\\\\ n = 608.9

This means, the minimum number of observations required is 609

6 0
3 years ago
2. A printing machine makes 240 books
Marizza181 [45]

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 8 books/ hour

Explanation:

240 / 30 = 8 books/ hour

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

7 0
2 years ago
Read 2 more answers
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