Describe the position of all the points on the number line that are

7) If AB = 3x - 8 and BC = x + 12, find the value of x.

Finger [1]

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question.

In a square ABCD, if AB = (3x-8) and BC = (x+12), find the value of x. Also, find the length of each side of the square.

Note that all sides of a square are equal. Hence AB = BC for the square ABCD.

Given AB = (3x-8) and BC = (x+12), then AB = BC

3x-8 = x+12

collect like terms;

3x-x = 12+8

2x = 20

x = 20/2

x = 10

Substitute x = 10 into any of the side. Using side AB

AB = 3x-8

AB = 3(10)-8

AB = 30-8

AB = 22

BC = x+12

BC = 10+12

BC = 22

Hence x = 10 and the length of each side is 22

4 0

4 years ago

Exhibit B In order to determine whether or not there is a significant difference between the hourly wages of two companies, two

ser-zykov [4K]

Answer: c. 3.01

Step-by-step explanation:

The test statistic for difference between two population mean (when population standard deviation is known) is given by :

$z=\dfrac{\overline{x}_1-\overline{x}_2}{\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}}$

, where $n_1$ = Size of first sample

$n_2$ = Size of second sample

$\overline{x}_1-\overline{x}_2$ = Difference between two sample mean.

$\sigma_1$ = standard deviation for population 1.

$\sigma_2$ = standard deviation for population 2.

As per given , we have

$n_1=80$

$n_2=60$

$\overline{x}_1=\$6.75$

$\overline{x}_2=\$6.25$

$\sigma_1=\$1$

$\sigma_2=\$0.95$

Substitute these values in formula , we get

$z=\dfrac{6.75-6.25}{\sqrt{\dfrac{(1)^2}{80}+\dfrac{(0.95)^2}{60}}}$

$z=\dfrac{0.50}{\sqrt{0.0275416666667}}$

$z=\dfrac{0.50}{0.165956821694}$

$z=3.0128318613\approx3.01$

Hence, the value of the test statistic is 3.01.

Hence, the correct option is c. 3.01 .

7 0

3 years ago

What percentage of 85 is 10

Artemon [7]

☽------------❀-------------☾

Hi there!

~

What percentage of 85 is 10?

$= 11.76$

(These are just some tips)

↓↓↓

Take the number and multiple it by 85. Then multiply that by . 01.

To calculate 10 percent of a number, simply divide it by 10 or move the decimal point one place to the left. For example, 10 percent of 230 is 230 divided by 10, or 23.

❀Hope this helped you!❀

☽------------❀-------------☾

8 0

3 years ago

At the grocery store, Lily spent m dollars on milk, twice that amount on fruit, and 6 dollars less than 3 times the amount spent

AlladinOne [14]

Answer:

The amount of money Lily had when she left the store, in terms of m, is 86 - 6m

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

m = Milk Lily purchased

2m = Fruit Lily purchased (twice that amount on fruit)

3m - 6 = Bread Lily purchased (6 dollars less than 3 times the amount spent on milk for bread)

Amount of money Lily entered = $ 80

2. How much money did Lily have when she left? Write your answer in terms of m.

Let's write the equation to find out the money left in terms of m, this way:

Money left = 80 - m - 2m - (3m - 6)

Money left = 80 - m - 2m - 3m + 6

Money left = 86 - 6m

The amount of money Lily had when she left the store, in terms of m, is 86 - 6m

3 0

3 years ago

Read 2 more answers

What is the slope of the line with the following equation? <img src="https://tex.z-dn.net/?f=2x%2B3y%3D2" id="TexFormula

KengaRu [80]

QUESTION

Your equation is 2x+3y=2 and you need to find the slope.

EXPLANATION

There are many ways to find the slope with an equation like this. I'm going to change the equation into slope-intercept form.

Slope-intercept form is formatted like this:

y=mx+b

m represents the slope. The first thing you need to do is leave 3y alone to change the equation into slope-intercept form. That means you need to subtract 2x from both sides.

$2x+3y=2 \rightarrow 3y=2-2x\ or\ 3y=-2x-2$

The next thing you need to do is leave y alone, just like the slope-intercept form example. To leave y alone, you need to divide 3y by 3.

$\frac{3y}{3}=\frac{-2x-2}{3} \\ \\ y=-\frac{2}{3}x-\frac{2}{3}$

Now the equation has been changed to slope-intercept form. In the equation, m has been replaced by $-\frac{2}{3}$ , which means that is your answer.

Answer: $-\frac{2}{3}$

5 0

3 years ago

Read 2 more answers