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3 years ago

What is the answer to-2x+5=-31

Mathematics

2 answers:

7nadin3 [17]3 years ago

8 0

Answer:

x = 18

Step-by-step explanation:

Subtract 5 on both sides:

-2x + 5 =- -31

-5 -5

-2x = -36

Divide by -2 on both sides:

-2x = -36

/-2 /-2

x = 18

Neko [114]3 years ago

6 0

Answer: x=18

Step-by-step explanation:

first, add 5 to 31. then, divide both sides by -2. this gives you 18

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Sophia is saving money for a new bicycle. The bicycle will cost at least $623. Sophia makes $8.22 per hour. Which inequality cou

tankabanditka [31]

<span>$8.22h â‰Ą $623 Let's look at the options and see what works and what doesn't. $8.22h > $623 * This inequality mostly works and it's true. But there may be a better choice later. So let's hold off on this one. $8.22h â‰¤ $623 * That less than or equal has issues. Let's buy the bike if I have less money than what's needed? Nope, not gonna work. Although that equal portion does have an element of truth to it. But this is a bad choice. $8.22h â‰Ą $623 * And this third option is better than the first. It simply says that you have to have enough or more money to buy the bike. The 1st equation basically said you have to have more money than the cost of the bike. So this is the correct choice. $8.22h < $623 * This is worse than the 2nd option. In a nutshell, is says buy the bike when you don't have enough money. So bad choice.</span>

7 0

3 years ago

In order to estimate the difference between the average hourly wages of employees of two branches of a department store, the fol

Julli [10]

Answer:

$0.071,1.928$

Step-by-step explanation:

Downtown Store North Mall Store

Sample size n 25 20

Sample mean $\bar{x}$ $9 $8

Sample standard deviation s $2 $1

$n_1=25\\n_2=20$

$\bar{x_1}=9\\ \bar{x_2}=8$

$s_1=2\\s_2=1$

$x_1-x_2=9-8=1$

Standard error of difference of means = $\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}$

Standard error of difference of means = $\sqrt{\frac{2^2}{25}+\frac{1^2}{20}}$

Standard error of difference of means = $0.458$

Degree of freedom = $\frac{\sqrt{(\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}})^2}{\frac{(\frac{s_1^2}{n_1})^2}{n_1-1}+\frac{(\frac{s_2^2}{n_2})^2}{n_2-1}}$

Degree of freedom = $\frac{\sqrt{(\frac{2^2}{25}+\frac{1^2}{20}})^2}{\frac{(\frac{2^2}{25})^2}{25-1}+\frac{(\frac{1^2}{20})^2}{20-1}}$

Degree of freedom =36

So, z value at 95% confidence interval and 36 degree of freedom = 2.0280

Confidence interval = $(x_1-x_2)-z \times SE(x_1-x_2),(x_1-x_2)+z \times SE(x_1-x_2)$

Confidence interval = $1-(2.0280)\times 0.458,1+(2.0280)\times 0.458$

Confidence interval = $0.071,1.928$

Hence Option A is true

Confidence interval is $0.071,1.928$

4 0

2 years ago

Please answer this correctly

kvv77 [185]

Answer:

New mean will be( 8 + 3 + 4 + 2 + 8) / 2

= 25/5 = 5 (old was 6)

New median will be 4 (old was 8)

3 0

3 years ago

Read 2 more answers

Joe earned money for baby-sitting , he spent 1/4 of the money on a guitar then he gave 1/4 to charity , if he has $108 left how

Mekhanik [1.2K]

Answer:

216 US dollars

Step-by-step explanation:

Let the amount he earned for babysitting be x

He spent 1/4 of x on guitar=(1/4)×x=1/4x

He gave 1/4 of x to charity= (1/4)×x=1/4x

Equation 1

Total amount left=(Total amount earned -Total amount spent)

Total amount earned=x

Total amount spent=(Spent on Guitar+Spent on Charity)=(1/4x)+(1/4x)=1/2x=0.5x

Total amount left=108 US dollars

Substituting in equation 1

108=(x-0,5x)

Solving

0.5x/0.5=108/0.5

x=216 US dollars

He started with 216 US dollars

3 0

3 years ago

Y=2x + 4 y= -10/3 x + 76/3 what is the sum of the x- and y-values in the solution to the system of equations?

Andreyy89

Given:

The system of equations:

$y=2x+4$

$y=-\dfrac{10}{3}x+\dfrac{76}{3}$

To find:

The sum of the x- and y-values in the solution to the system of equations.

Solution:

We have,

$y=2x+4$ ...(i)

$y=-\dfrac{10}{3}x+\dfrac{76}{3}$ ...(ii)

From (i) and (ii), we get

$2x+4=-\dfrac{10}{3}x+\dfrac{76}{3}$

$2x+\dfrac{10}{3}x=\dfrac{76}{3}-4$

$\dfrac{6x+10x}{3}=\dfrac{76-12}{3}$

Multiply both sides by 3.

$16x=64$

Divide both sides by 16.

$x=\dfrac{64}{16}$

$x=4$

Putting x=4 in (i), we get

$y=2(4)+4$

$y=8+4$

$y=12$

The solution of system of equations is (4,12).

$x+y=4+12$

$x+y=16$

Therefore, the sum of the x- and y-values in the solution to the system of equations is 16.

4 0

3 years ago