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3 years ago

Solve the equation: 2 (x + 2x) - 36 A) X=-18 B) x = 18 cx = -6 D) x = 6

Mathematics

1 answer:

bazaltina [42]3 years ago

5 0

<h2><u>Answer:</u></h2><h2> $\boxed{x=6}$ <u></u></h2><h2><u></u></h2><h2><u>Solution Steps:</u></h2>

______________________________

<h3>1.) Divide both sides by 2:</h3>

$2$ ÷ $2=$ Cancels Out

$36$ ÷ $2=18$

<em> - We do this first because we need the get rid of the parenthesis in order to solve this like a regular problem. In this case the only way to do so was to divide by 2 to separate the Number/Variable from the parenthesis. </em>

<u>Equation at the end of Step 1:</u>

<u /> $x+2x=18$ <u />

<h3>2.) Combine x and 2x:</h3>

$x+2x=3x$

<em> - We do this because we can't have 2 variables at the end of the equation so it's best to just combine them. </em>

<u>Equation at the end of Step 2:</u>

<u /> $3x=18$ <u />

<h3></h3><h3>3.) Divide both sides by 3:</h3>

$3x$ ÷ $3=x$

$18$ ÷ $3=6$

<em> - We divided for the last step since their was 1 variable connected by a number and another number on the opposite side of the equal. </em>

______________________________

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A printer toner company launches a new product. The number of pages that this new toner can print is normally distributed with a

Vitek1552 [10]

Answer:

Step-by-step explanation:

Since the number of pages that this new toner can print is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = the number of pages.

µ = mean

σ = standard deviation

From the information given,

µ = 2300 pages

σ = 150 pages

the probability that this toner can print more than 2100 pages is expressed as

P(x > 2100) = 1 - P(x ≤ 2100)

For x = 2100,

z = (2100 - 2300)/150 = - 1.33

Looking at the normal distribution table, the probability corresponding to the z score is 0.092

P(x > 2100) = 1 - 0.092 = 0.908

2) P(x < 2200)

z = (x - µ)/σ/√n

n = 10

z = (2200 - 2300)/150/√10

z = - 100/47.43 = - 2.12

Looking at the normal distribution table, the probability corresponding to the z score is 0.017

P(x < 2200) = 0.017

3) for underperforming toners, the z score corresponding to the probability value of 3%(0.03) is

- 1.88

Therefore,

- 1.88 = (x - 2300)/150

150 × - 1.88 = x - 2300

- 288 = x - 2300

x = - 288 + 2300

x = 2018

The threshold should be

x < 2018 pages

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3 years ago

In order to conduct a certain experiment, four students are randomly selected from a class of 20. how many different groups of f

chubhunter [2.5K]

20x4=80
i am assuming this is correct this is how i learned just take all numbers in equation and multiply by each other

8 0

4 years ago

Alan bought two bikes. He sold one to Beth for $300 taking a 25% loss. He also sold one to Greta for $300 making a 25% profit. D

Mashutka [201]

No Alan did not break even

Alan incured a loss of 6.25 %

<em><u>Solution:</u></em>

Given that,

Alan bought two bikes

He sold one to Beth for $300 taking a 25% loss

He also sold one to Greta for $300 making a 25% profit

When a person sells two similar items, one at a gain of say x%, and the other at a loss of x%, then the seller always incurs a loss

Which is given as:

$loss\ \% = (\frac{x}{10})^2$

Here, x = 25

$loss\ \% = (\frac{25}{10})^2\\\\loss\ \% = 2.5^2\\\\loss\ \% = 6.25$

Thus the loss percentage is 6.25 %

8 0

3 years ago

A Web music store offers two versions of a popular song. The size of the standard version is 2.1 megabytes (MB). The size of the

SashulF [63]

Answer:

There were 440 Standard version of songs downloaded in Web music store.

Step-by-step explanation:

Given,

Total number of songs downloaded = 1310

Total size of the downloaded songs = 4752 MB

Size of standard version of song = 2.1 MB

Size of high quality version of song = 4.4 MB

Solution,

Let the number of standard version of song be 'x'.

And also let the number of high quality version of song be 'y'.

Now, total number of songs is the sum of total number of standard version of song and total number of high quality version of song.

On framing the above sentence in equation form, we get;

$x+y=1310\ \ \ \ \ equation\ 1$

Now, Total size of the downloaded songs is the sum of total number of standard version of song multiplied with size of standard version of song and total number of high quality version of song multiplied with size of high quality version of song.

On framing the above sentence in equation form, we get;

$2.1x+4.4y=4752$