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3 years ago

If water and oil are combined in a container, the resulting liquid is a(n)

Mathematics

1 answer:

xenn [34]3 years ago

3 0

<span>If water and oil are combined in a container, the resulting liquid is a(n) C) emulsion

Hope I helped:P</span>

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If a=2b^3 and b= -1/2c ^-2,express a in terms of c.

ElenaW [278]

Answer:

Part 1) $a=-\frac{1}{4c^6}$

Part 2) $a=-\frac{1}{4c^{-6}}$

Step-by-step explanation:

Part 1) we have

$a=2b^{3}$ ----> equation A

$b=-\frac{1}{2}c^{-2}$ ----> equation B

substitute equation B in equation A

$a=2(-\frac{1}{2}c^{-2})^{3}$

Applying property of exponents

$(x^{m})^{n}=x^{m*n}$

$x^{-m} =\frac{1}{x^{m}}$

$a=2(-\frac{1}{2}c^{-2})^{3}=2(-\frac{1}{2})^3(c^{-2})^{3}=2(-\frac{1}{8})(c^{-6})=-\frac{1}{4c^6}$

therefore

$a=-\frac{1}{4c^6}$

Part 2) we have

$a=2b^{3}$ ----> equation A

$b=-\frac{1}{2c^{-2}}=-\frac{c^{2}}{2}$ ----> equation B

substitute equation B in equation A

$a=2(-\frac{c^{2}}{2})^{3}$

Applying property of exponents

$(x^{m})^{n}=x^{m*n}$

$x^{-m} =\frac{1}{x^{m}}$

$a=2(-\frac{c^{2}}{2})^{3}=2(-\frac{c^{6}}{8})$

simplify

$a=-\frac{c^{6}}{4}$

therefore

$a=-\frac{1}{4c^{-6}}$

6 0

3 years ago

Hannah received $30 for her birthday and bought 3 shirts that were all the same price. If she had $9 left over, which equation s

Natasha2012 [34]

Money spent + money left over = total money

money spent + 9 = 30

We don't know the price of each shirt, so let x = price of 1 shirt.
Then, 3 shirts cost 3 times as much as x, or 3x.
She spent 3x.

3x + 9 = 30

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3 years ago

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Which answer is the slope-intercept form for the given equation?<br><br> 13x+2y=43

yanalaym [24]

Y=-13/2x+43/2 I hope this helped :3

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3 years ago

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Write the number represented by the base ten blocks

jekas [21]

Is there supposed to be a picture attached? Or is it asking simply what number "base 10 blocks" represents. If so, the answer would be 10. Not sure if that's what the question is asking though! Hope this helps :)

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3 years ago

Write the expression seven less than n

melamori03 [73]

Answer:

$n-7$

Step-by-step explanation:

If the expression is 'seven less than n', we are subtracting 'seven' from 'n'.

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3 years ago