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2 years ago

Find an equivalent fractions for each given fraction 60/12

Mathematics

2 answers:

evablogger [386]2 years ago

8 0

Very easy to do this.

60/12 is your fraction.

Multiply numerator and denominator by the same number.

60*2/12*2 = 120/24

120/24 = 5

You can also simplify.

60/12 = 5

12/12 = 1

5/1 = 5

60/12 = 5

IrinaK [193]2 years ago

8 0

Answer:

5/1 or 120/24 or 180/36

Step-by-step explanation:

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quester [9]

Answer:

The sample size must be approximately 1067 to get a margin of error of 0.03.

Step-by-step explanation:

We are given the following in the question:

Margin of error = 0.03

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Since, no prior proportions are given, we take

$\hat{p} = 0.5$

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Putting values, we get,

$0.03 = 1.96\sqrt{\dfrac{0.5(1-0.5)}{n}}\\\\\sqrt{n} = \dfrac{1.96\times 0.5}{0.03}\\\\\\sqrt{n} = 32.67\\n = 1067.3289\approx 1067$

Thus, the sample size must be approximately 1067 to get a margin of error of 0.03.

3 0

2 years ago

Use the equation 3m + 65 = 18 to complete the table.

Alla [95]

The answer to these blanks are :
1. 6 (m)
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3. 0 (m)
4. 4 (s)

3 0

2 years ago

Christine is making fleece blankets. 6 yards of fleece will make 2

Rzqust [24]

Answer:

3 blankets.

Step-by-step explanation:

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So there are 3 blankets for 9 yards of fleece.

5 0

2 years ago

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Given <br><img src="https://tex.z-dn.net/?f=%20log_%7B2%7D%28x%29%20%20%3D%20%20%5Cfrac%7B3%7D%7B%20log_%7Bxy%7D%282%29%20%7D%20

Naily [24]

Answer:

$\displaystyle y = x^{-\frac{2}{3}}$

Step-by-step explanation:

<u>Logarithms</u>

Some properties of logarithms will be useful to solve this problem:

1. $\log(pq)=\log p+\log q$

2. $\displaystyle \log_pq=\frac{1}{\log_qp}$

3. $\displaystyle \log p^q=q\log p$

We are given the equation:

$\displaystyle \log_{2}(x) = \frac{3}{ \log_{xy}(2) }$

Applying the second property:

$\displaystyle \log_{xy}(2)=\frac{1}{ \log_{2}(xy)}$

Substituting:

$\displaystyle \log_{2}(x) = 3\log_{2}(xy)$

Applying the first property:

$\displaystyle \log_{2}(x) = 3(\log_{2}(x)+\log_{2}(y))$

Operating:

$\displaystyle \log_{2}(x) = 3\log_{2}(x)+3\log_{2}(y)$

Rearranging:

$\displaystyle \log_{2}(x) - 3\log_{2}(x)=3\log_{2}(y)$

Simplifying:

$\displaystyle -2\log_{2}(x) =3\log_{2}(y)$

Dividing by 3:

$\displaystyle \log_{2}(y)=\frac{-2\log_{2}(x)}{3}$

Applying the third property:

$\displaystyle \log_{2}(y)=\log_{2}\left(x^{-\frac{2}{3}}\right)$

Applying inverse logs:

$\boxed{y = x^{-\frac{2}{3}}}$

7 0

2 years ago

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Alika [10]

Answer:

Step-by-step explanation:

Ejiro + her sister's age = 64

Ejiro is 8 years older so (64 - 8) ÷ 2 = 28 her sister is 28 years old and ejiro is 28 + 8 = 36 years old

8 0

2 years ago

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