How to simplify 3(x+2)

Answers

Answer 1

Answer: 3(x + 2)
3(x) + 3(2)
3x + 6

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How do i graph negative square roots on a number line

Answers

Answer:

see below

Step-by-step explanation:

On the real number line you can't

to graph them you have to make a Cartesian plane

with x= the real numbers

and y= the imaginary numbers

Four less than the sum of a number and 7 is eight more than twice that number. find the number.

Answers

Answer:

-5

Step-by-step explanation:

To find the number, let's break down the problem step by step.

First, let's assign a variable to represent the unknown number. Let's call it "x."

According to the problem, "four less than the sum of a number and 7" can be written as "(x + 7) - 4."

Next, the problem states that this expression is "eight more than twice that number." So, we can write this as "2x + 8."

Now, we can set up an equation based on the information given:

(x + 7) - 4 = 2x + 8

Let's solve this equation to find the value of x.

First, let's simplify the left side of the equation:

x + 7 - 4 = 2x + 8

x + 3 = 2x + 8

Next, let's isolate the variable by subtracting x from both sides:

x - x + 3 = 2x - x + 8

3 = x + 8

To isolate x, we need to get rid of the 8 by subtracting it from both sides:

3 - 8 = x + 8 - 8

-5 = x

Therefore, the number is -5.

To check our answer, let's substitute -5 into the original equation and see if it holds true:

( -5 + 7) - 4 = 2(-5) + 8

2 - 4 = -10 + 8

-2 = -2

The equation holds true, which confirms that the number is indeed -5.

Explain the steps you would take to find the quotient of 1/3 divided 4/3

Answers

Answer: 1/4

Step-by-step explanation: Here, we have 1/3 ÷ 4/3.

Dividing by a fraction is the same

as multiplying by its reciprocal.

In other words, we can change the division sign

to multiplication and flip the second fraction.

So here, 1/3 ÷ 4/3 can be rewritten as 1/3 × 3/4.

Now we're simply multiplying fractions.

Before multiplying however, always try to cross-cancel.

Notice that we can cross-cancel 3 and 3 to 1 and 1.

So we now have 1/1 × 1/4.

Multiplying across the numerators

and denominators, we have 1/4.

Answer:

1/4

Explanation:

1/3 is the dividend while 4/3 is the divisor.

The quotient is the resulting number after the division is made.

1/3 divided by 4/3

Is the same as

1/3 x 3/4

This results in 3/12 which when simplified is 1/4

5x – 4 = x - 16
solve the equation

Answers

Answer:

x = - 3

Step-by-step explanation:

Given

5x - 4 = x - 16 ( subtract x from both sides )

4x - 4 = - 16 ( add 4 to both sides )

4x = - 12 ( divide both sides by 4 )

x = - 3

Answer:

$\huge{ \fbox{ \sf{x = -3}}}$

Step-by-step explanation:

$\star{ \sf{ \: 5x - 4 = x - 16}}$

$\text{Step \: 1 \: : \sf{ \: Move \: x \: to \: left \: hand \: side \: and \: change \: its \: sign.}}$

$\hookrightarrow{ \sf{5x - x - 4 = - 16}}$

$\text{Step \: 2 \: : \sf{ \: Move \: 4 \: to \: right \: hand \: side \: and \: change \: its \: sign.}}$

$\hookrightarrow{ \sf{ 5x - x = - 16 + 4}}$

$\text{Step \: 3 \: : \sf{Collect \: like \: terms}}$

$\hookrightarrow{ \sf{ 4x = - 16 + 4}}$

$\text{Step \: 4 \: : \sf{Calculate}}$

$\text{ \underline{Remember! : }} \sf{ \: The \: \: negative \: and \: positive \: integers \: are \: always \: subtracted \: but \: posses \: the \: sign \: of \: the \: bigger \: integer.}$

$\hookrightarrow{ \sf{ 4x = - 12}}$

$\text{Step \: 4 \: : Divide \: both \: sides \: by \: - 6}$

$\hookrightarrow{ \sf{ ( 4x)/( 4) = ( - 12)/( 4)}}$

$\text{Step \: 5 \: : Calculate}$

$\hookrightarrow{ \sf{x = -3}}$

The value of x is -3.

Hope I helped!

Best regards! :D

~ $\sf{TheAnimeGirl}$

Write a linear equation to represent the line shown on the graph

Answers

The linear equation representing the line passing through the points (0, 4) and (2, -2) is y=−3x+4.

Here, we have to write a linear equation that represents the line passing through the points (0, 4) and (2, -2), we can use the point-slope form of a linear equation:

$y - y_1 = m(x- x_1)$

where:

m is the slope of the line,

$(x_1,y_1)$ is one of the given points on the line.

Given the points (0, 4) and (2, -2),

let's calculate the slope m:

m= −2−4/ 2−0

= −6/2

=−3.

Now, use the point-slope form with the point (0, 4):

y−4=−3(x−0).

Simplify the equation:

y−4=−3x.

Add 4 to both sides:

y=−3x+4.

So, the linear equation representing the line passing through the points (0, 4) and (2, -2) is y=−3x+4.

To learn more on equation click:

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Answer:

y=-3x+4

Step-by-step explanation:

it's negative bc the slope is going from left to right. you just have to do rise over run to find the slope.

Alicia is a nurse.In 2016, she earned a monthly salary of £1750
In 2017, she was awarded a 2% pay increase on her monthly salary.
Given that in 2017 Alicia worked 45 hours per week for 48 weeks,
work out her average pay per hour for the year.

Answers

Final answer:

To calculate Alicia's average pay per hour for the year, we need to find her total earnings for the year and divide it by the total number of hours she worked.

Explanation:

To calculate Alicia's average pay per hour for the year, we need to find her total earnings for the year and divide it by the total number of hours she worked. In 2016, Alicia earned £1750 per month, so her annual salary would be £1750 x 12 = £21,000.

In 2017, she received a 2% pay increase, which means her monthly salary would be £1750 + 2% of £1750 = £1750 + (£1750 x 0.02) = £1750 + £35 = £1785.

Since Alicia worked 45 hours per week for 48 weeks in 2017, her total number of hours worked for the year would be 45 hours/week x 48 weeks = 2,160 hours. Now, we can calculate her average pay per hour by dividing her total earnings (£1785 x 12) by the total number of hours worked (2,160): £1785 x 12 / 2,160 = £10 per hour.

Learn more about Calculating average pay per hour here:

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AnswerAverage pay per hour 19.15

Step-by-step explanation:

1750 + 2% = 1785 pay increase

1785 x 12 months = 21420 a year

21420 divided by 52 weeks in a year averages to 411.92 weekly

Divide 411.92 by the 45 hours of work is 19.15 per hour

Brainliest please, if correct.

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