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Find the value of x.

stealth61 [152]

Answer:

Problem 6: x = 12

Problem 7: x = 10

Step-by-step explanation:

<u>Problem 6:</u>

39 + 4 + 7x + 53 = 180

39 + 4 + 7x + 53 - 39 - 4 - 53 = 180 - 39 - 4 - 53

7x / 7 = 84 / 7

x = 12

Answer: x = 12

<u>Problem 7:</u>

5x + 6x - 5 + 75 = 180

5x + 6x - 5 + 75 - 75 + 5 = 180 - 75 + 5

11x / 11 = 110 / 11

x = 10

Answer: x = 10

6 0

3 years ago

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X/5 = 6<br> solve for x <br> A. x = 30<br> B. x - 11<br> C. x = -11<br> D. x = -30

gayaneshka [121]

The value of x is 30 which is the correct answer would be an option (A)

<h3>What are Arithmetic operations?</h3>

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operations is called the arithmetic operator.

Operators who let do basic mathematical calculations.

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

Given expression that x/5 = 6

To determine the value of x

⇒ x/5 = 6

Solve for x

⇒ x = 6×5

Apply the Multiplication operation

⇒ x = 30

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ1

8 0

2 years ago

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Select all expressions that are equivalent to 3 x 5 − 6 x 4 y + 3 x 3 y 2 . A. 3 x 3 ( x − y ) 2 B. 3 x 3 ( x 2 − 2 x y + y 2 )

Sveta_85 [38]

Answer:

B

Step-by-step explanation:

Factorizing 3x^5−6x4y+3x^2y^2

$= (3x\left(x^4-8y+xy^2\right)$

=

$3x^3 ( x^2-2 x y + y^2 )$

8 0

3 years ago

A soccer ball manufacturer wants to estimate the mean circumference of soccer balls within 0.1 in. Determine the minimum sample

leva [86]

Answer:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (2)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025,0,1)", and we got $z_{\alpha/2}=1.96$ , replacing into formula (2) we got:

$n=(\frac{1.96(0.25)}{0.1})^2 =24.01$

So the answer for this case would be n=25 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=0.25$ represent the population standard deviation

n represent the sample size (variable of interest)

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

And on this case we have that ME =0.1 and we are interested in order to find the value of n, if we solve n from equation (1) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (2)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025,0,1)", and we got $z_{\alpha/2}=1.96$ , replacing into formula (2) we got:

$n=(\frac{1.96(0.25)}{0.1})^2 =24.01$

So the answer for this case would be n=25 rounded up to the nearest integer

8 0

4 years ago

Please help me with my question:))

sergey [27]

Answer:

D

Step-by-step explanation:

Two lines are perpendicular when the product of their slopes = - 1

line 1: y = 3x + 4

(3 , 0) ; (-3,2)

$slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{2-0}{-3-3}\\\\=\frac{2}{-6}\\\\=\frac{-1}{3}$

Slope of line 1 = 3

Slope of line 2 = -1/3

3* -1/3 = -1

5 0

3 years ago

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