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2 years ago

What is the cube root of 8x^27? A) 2x^3 B) 2x^9 C) 4x^3 D) 4x^9

Mathematics

1 answer:

Tamiku [17]2 years ago

8 0

Answer:

B) 2x^9

Step-by-step explanation:

i hope that helps

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What is the solution of ?<img src="https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D%20x-7%3D%5Cfrac%7B3%7D%7B4%7D%20x%2B14" id="Tex

Nonamiya [84]

Combine the terms by multiplying into a single fraction.

$\bf{\dfrac{5}{2}x-7=\dfrac{3}{4}x+14 }$

Find the common denominator.

$\bf{\dfrac{5x}{2}-7=\dfrac{3}{4}x+14 }$

Combine fractions with the lowest common denominator.

$\bf{\dfrac{5x(-7)}{2}=\dfrac{3}{4}x+14 }$

Multiply the numbers.

$\bf{\dfrac{5x-14}{2}=\dfrac{3}{4}x+14 }$

Combine the multiplied terms into a single fraction

$\bf{\dfrac{5x-14}{2}=\dfrac{3x}{4}+14 }$

Find the common denominator.

$\bf{\dfrac{5x-14}{2}=\dfrac{3x}{4}+\dfrac{4\cdot14}{4} }$

Combine fractions with the lowest common denominator.

$\bf{\dfrac{5x-14}{2}=\dfrac{3x+4\cdot14}{4} }$

Multiply the numbers.

$\bf{\dfrac{5x-14}{2}=\dfrac{3x+56}{4} }$

Eliminate the denominators of the fractions.

$\bf{4\cdot\dfrac{5x-14}{2}=4\cdot\dfrac{3x+56}{4} }$

Cancel the multiplied terms that are in the denominator.

$\bf{2(5x-14)=3x+56}$

To distribute.

$\bf{10x-28=3x+56 }$

Add 28 to both sides.

$\bf{10x-28+28=3x+56+28 }$

Simplify

$\bf{10x=3x+84 }$

Subtract 3x from both sides.

$\bf{10x-3x=3x+84-3x }$

Simplify

$\bf{7x=84 }$

Divide both sides by the same factor.

$\bf{x=\dfrac{84}{7} }$

Simplify

$\bf{x=12 \ \ \ === > \ \ \ Answer}$

↓

<h3>Verification</h3>

Let x=12.

$\bf{\dfrac{5}{2}\times12-7=\dfrac{3}{4}\times12+14 }$
$\bf{\dfrac{5\times12}{2}-7=\dfrac{3}{4}\times12+14 }$
$\bf{\dfrac{60}{2}-7=\dfrac{3}{4}\times12+14 }$
$\bf{30-7=\dfrac{3}{4}\times12+14 }$
$\bf{30-7=\dfrac{3\times12}{4}+14 }$
$\bf{30-7=\dfrac{36}{4}+14 }$
$\bf{30-7=9+14 }$
$\bf{23=9+14 }$
$\bf{23=23}$

Checked ✅

3 0

1 year ago

I need help with this question?????

den301095 [7]

18.84

Since the formula of circumference is C = 2 pi r or C = pi times diameter, you can conclude that the circumference is 18.84.

Assuming that pi is 3.14 in this case rather than the full pi or just in terms of pi.

Hope this helps!

8 0

2 years ago

Which expression is equivalent to 4x + ? o 1(-x+2) o 1(-2+ 3) -1(-x+ ) - (x + 2)

slavikrds [6]

Answer:

Definitely Option A.

When you expand the bracket of Option A... You have your equation

Which is

-1/4x + 1/2.

7 0

2 years ago

What’s the missing angle. Brainliest if your correct

stellarik [79]

We are given:

We know that the sum of all interior angles of a Pentagon is 540°

we are given 4 out of the 5 angles

Solving for x:

since the sum of all 5 angles is 540°:

75 + 130 + 135 + x + 90 = 540

x + 430 = 540

x = 540 - 430

x = 110°

6 0

2 years ago

Can someone give me the value of x

Diano4ka-milaya [45]

The shape has 7 sides.

The sum of the interior angles is (7-2)180 = 5 * 180 = 900 degrees.

Divide the total sum by 7:

X = 900 /7 = 128.6 degrees.

7 0

3 years ago