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2 years ago

What is the value of x 2/3x+2=4

Mathematics

1 answer:

Bad White [126]2 years ago

5 0

<h2>Solving for x in Algebraic Equations</h2>

To solve for x, we can perform inverse operations to cancel values out.

For addition, we can do subtraction.
For multiplication, we can do division.
And vise versa.

Eventually, we must isolate x to one side of the equal sign, or equation. That will give us its value.

<h2>Solving the Question</h2>

$\dfrac{2}{3}x+2=4$

⇒ First, isolate the x term by subtracting 2 from both sides:

$\dfrac{2}{3}x=2$

⇒ Now, multiply both sides by 3 to get rid of the fraction:

$2x=6$

⇒ Finally, divide both sides by 2 to isolate x:

$x=3$

<h2>Answer</h2>

$x=3$

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Solve this problem???

Svetllana [295]

The denominator of the first term is a difference of squares, such that

4a ² - b ² = (2a)² - b ² = (2a - b) (2a + b)

So you can write the fractions as

(4a ² + b ²)/((2a - b) (2a + b)) - (2a - b)/(2a + b)

Multiply through the second fraction by 2a - b to get a common denominator:

(4a ² + b ²)/((2a - b) (2a + b)) - (2a - b)²/((2a + b) (2a - b))

((4a ² + b ²) - (2a - b)²) / ((2a - b) (2a + b))

Expand the numerator:

(4a ² + b ²) - (2a - b)²

(4a ² + b ²) - (4a ² - 4ab + b ²)

4ab

So the original expression reduces to

4ab / ((2a - b) (2a + b))

4ab / (4a ² - b ²)

upon condensing the denominator again.

8 0

3 years ago

The average weight of the entire batch of the boxes of cereal filled today was 20.5 ounces. A random sample of four boxes was se

zhenek [66]

Answer:

$s= \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And replacing we got:

$s= 0.286$

And then the estimator for the standard error is given by:

$SE= \frac{0.286}{\sqrt{4}}= 0.143$

Step-by-step explanation:

For this case we have the following dataset given:

20.05, 20.56, 20.72, and 20.43

We can assume that the distribution for the sample mean is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And the standard error for this case would be:

$SE= \frac{\sigma}{\sqrt{n}}$

And we can estimate the deviation with the sample deviation:

$s= \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And replacing we got:

$s= 0.286$

And then the estimator for the standard error is given by:

$SE= \frac{0.286}{\sqrt{4}}= 0.143$

4 0

3 years ago

Theorem: A line parallel to one side of a triangle divides the other two proportionately.

Kisachek [45]

Answer:

Segment BF = 16

Step-by-step explanation:

The given theorem states that a line parallel to one side of a triangle divides the other two sides proportionately

The given theorem is the Triangle Proportionality Theorem

According to the theorem, given that segment DE is parallel to segment BC, we have;

$\dfrac{AD}{BD} = \dfrac{AE}{EC}$

Therefore;

$BD = \dfrac{AD}{\left(\dfrac{AE}{EC} \right) } = AD \times \dfrac{EC}{AE}$

Which gives;

$BD = 6 \times \dfrac{18}{12}= 9$

Similarly, given that EF is parallel to AB, we get;

$\dfrac{AE}{EC} = \dfrac{BF}{FC}$

Therefore;

$BF = FC \times \dfrac{AE}{EC}$

Which gives;

$BF = 24 \times \dfrac{12}{18} = 16$

Therefore, the statement that can be proved using the given theorem is segment BF = 16.

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3 years ago

The number of pages in the U.S. tax code exceeds the number of pages in the King James Bible by 18,528. The combined number of p

LenaWriter [7]

Make two equations. Then solve. Let t and b represent the numbers of pages in the Tax Code and Bible, respectively.
t - b = 18,528 . . . . . tax code exceeds Bible by 18,528 pages
t + b = 21,472 . . . . .together, they total 21,472 pages

Add the two equations.
2t = 40,000
t = 20,000

The number of pages in the tax code is 20,000.

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3 years ago

Read 2 more answers

Could someone please help me with this it’s due tonight please

Whitepunk [10]

Answer:

3/4 of the way from A to B = $(-\frac{7}{2}, \frac{5}{4})$ or (-3.5, 1.25)

Step-by-step explanation:

Please see attached images below for explanation:

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3 years ago