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Fiesta28 [93]
3 years ago
7

If there is 1/6 of a cake and Mitchell only wants 3/12 of it. how much of the cake does he want?

Mathematics
2 answers:
kherson [118]3 years ago
8 0

he wants 1/24 of the cake

Marta_Voda [28]3 years ago
8 0

Answer:

Mitchell wants \frac{1}{24} of the cake.

Step-by-step explanation:

There is \frac{1}{6} of cake and Mitchell wants \frac{3}{12} of the cake.

<em>Observation: The word "of" means "multiply"</em>

This means, \frac{3}{12} .\frac{1}{6}

Then \frac{3}{12} .\frac{1}{6}=\frac{3}{72}

We can simplify: \frac{3}{72}=\frac{3.1}{3.24}=\frac{3}{3}.\frac{1}{24}=\frac{1}{24}

Then Mitchell wants \frac{1}{24} of the cake.

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In 2017, there were about 21 million teenagers (aged 13-17) in the United States. They each
vivado [14]

The Number of text messages sent in a month is 1.68 × 10^{(-8)}

Step-by-step explanation:

Step 1 :

Total number of teenagers in United States = 21 million

Average text messages sent per month = 800

We need to find the number of text messages sent each month

Step 2 :

The number of text messages in a month can be computed by taking the product of the total number of teenagers and average messages sent per month

Therefore

Number of text messages that is sent in a month = 21 million ×  800

                                                                      = 21 × 10^{6} × 800

                                                                     = 168  × 10^{6} = 1.68 × 10^{(-8)}

Step 3 :

Answer :

The Number of text messages that is sent in a month is 1.68 × 10^{(-8)}

5 0
3 years ago
What fraction does this number-line show? (I Put a Picture)
Rina8888 [55]

Answer:

1/2

Step-by-step explanation:

The equal distance between 0 and 1 must be one-half or 1/2.

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Please help me with this! ASAP
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The question gives you 4 different numbers that could be x, so you have to replace each x in each problem and solve. If the two answers are equivalent, that is your answer. For the first one, 6 times 2 is 12, minus 2 is 10. 5 times 2 is 10, plus 3 is 13. 10 is not equal to 13, so that is not the answer. For 5, 6 times 5 is 30, minus 2 is 28. 5 times 5 is 25, plus 3 is 28, so therefore the answer is x=5

4 0
3 years ago
Franchise Business Review stated over 50% of all food franchises earn a profit of less than $50,000 a year. In a sample of 130 c
nydimaria [60]

Answer:

We need a sample size of 564.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

\pi = \frac{81}{130} = 0.6231

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Based upon a 95% confidence interval with a desired margin of error of .04, determine a sample size for restaurants that earn less than $50,000 last year.

We need a sample size of n

n is found when M = 0.04

So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.04 = 1.96\sqrt{\frac{0.6231*0.3769}{n}}

0.04\sqrt{n} = 1.96\sqrt{0.6231*0.3769}

\sqrt{n} = \frac{1.96\sqrt{0.6231*0.3769}}{0.04}

(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.6231*0.3769}}{0.04})^{2}

n = 563.8

Rounding up

We need a sample size of 564.

4 0
3 years ago
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