3 years ago

What property is this? (3x+12y)+(10x-5y)

Mathematics

1 answer:

SpyIntel [72]3 years ago

6 0

Answer:

Assciates Property

Step-by-step explanation:

look at the picture above

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Can you help with the air freshener question?? And can you simplify the answer

n200080 [17]

It would be 3.75
I looked it up

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3 years ago

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Zalmon walked 3/4 of a mile in 3/10 of an hour. What is his speed in miles per hour

gavmur [86]

He is walking 9/40 miles per hour. But in decimal form it would be 0.225

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3 years ago

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Solve the following equation. Then place the correct number in the box provided. 3x/7-2=15

seraphim [82]

3x/7-2=15

3x/7 = 17

3x = 119

x = 39.67

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3 years ago

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:

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

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3 years ago

Is 8/9 greater than 5/10

Agata [3.3K]

Yes 8/9 is greater than 5/10

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3 years ago

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