All categories

2 years ago

4x-6>6x-20 solve for the inequality

Mathematics

1 answer:

IgorC [24]2 years ago

3 0

Answer:

x < 7

Step-by-step explanation:

4x - 6 > 6x - 20

Add 6 to both sides.

4x - 6(+6) > 6x -20(+6)

Simplify.

4x > 6x - 14

Subtract 6x from both sides.

4x(-6x) > 6x(-6x) - 14

Simplify.

-2x > -14

Multiply both sides by -1 (reverse the inequality).

(-2x)(-1) < (-14)(-1)

Simplify.

2x < 14

Divide both sides by 2.

2x/2 < 14/2

Simplify.

x < 7

You might be interested in

Hel[ppppppppppp brainliestt

Gekata [30.6K]

Answer: I think it is 10364 or 10248 because when i put it in a calculator I got 8803.4 or 10296

Step-by-step explanation:

3 0

2 years ago

Need help please!! Will give points

Nataly [62]

Answer:

1. $\bar X=5.10$

2. $\sigma=0.47$

3. $\sigma^2=0.22$

Step-by-step explanation:

QUESTION 1

The given data set for the expenditure is

$4.85,5.10,5.50,4.75,4.50,5.00,6.00$

The formula for calculating the mean is given by,

$\bar X=\frac{\sum x}{n}$

We need to add all the expenditure and divide by the total number of days.

$\bar X=\frac{4.85+5.10+5.50+4.75+4.50+5.00+6.00}{7}$

This gives us,

$\bar X=\frac{35.7}{7}$

$\Rightarrow \bar X=5.10$ to the nearest hundredth.

QUESTION 2

The standard deviation of the data set is given by the formula;

$\sigma =\sqrt{\frac{\sum(x-\bar X)^2}{n} }$

This implies that,

$\sigma =\sqrt{\frac{(4.85-5.10)^2+(5.10-5.10)^2+(5.50-5.10)^2+(4.75-5.10)^2+(4.50-5.10)^2+(5.00-5.10)^2+(6.00-5.10)^2}{7} }$

This will give us,

$\sigma =\sqrt{\frac{(-0.25)^2+(0.00)^2+(0.40)^2+(-0.35)^2+(-0.60)^2+(-0.10)^2+(0.90)^2}{7} }$

$\sigma =\sqrt{\frac{0.0625+0+0.16+0.1225+0.36+0.01+0.81}{7} }$

$\sigma =\sqrt{\frac{61}{280} }$

$\sigma =0.466775$

to the nearest hundredth,

$\sigma =0.47$ .

QUESTION 3

The variance is the square of the standard deviation.

$\sigma^2 =(0.46675)^2$

$\sigma^2 =0.217857$

To the nearest hundred gives,

$\sigma^2 =0.22$

3 0

3 years ago

A JEWELRY STORE RECEIVED A PACKAGE OF RINGS THAT IS 16 INCHES LONG, 10 INCHES WIDE, 12 INCHES HIGH. THE PACKAGE CONTAINS 1-INCH

enot [183]

16 x 10 x 12 = 1,920

The jewelry store received 1,920 rings

Hope this helps. :)

4 0

2 years ago

Read 2 more answers

How do I solve this -32=-5x+13x ?

Kay [80]

Answer:

x=-4

Step-by-step explanation:

combine like tens to get 8x the divide 8 by -32 to get -4

8 0

3 years ago

Read 2 more answers

Find the distance, c, between (1, 2) and (4, –1) on the coordinate plane. Round to the nearest tenth if necessary.

MakcuM [25]

Answer: 3 $\sqrt{2}$ = 4.24 = 4.2

Step-by-step explanation:

d = $\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2}$

= fill in the distance formula

=3 $\sqrt{2}$

3 0

2 years ago