Solve the absolute value inequality 3x-1<8

Answers

Answer 1

Answer:

3

Step-by-step explanation:

3x - 1 < 8

Solve this inequality like a two-step equation.

Add 1 to both sides to cancel the -1.

3x - 1 < 8

3x < 9    Divide both sides by 3 to cancel the 3 in 3x.

x < 3

Find the absolute value (distance the number is from 0).

Absolute value = 3

I hope this helps and please mark me as brainliest!


Related Questions

Help picture below problem 17

Answers

Answer:

b= 7

Step-by-step explanation:

Answer:

Missing Side = 7 feet

Step-by-step explanation:

by Pythagora

25² = P² + 24²

625 - 576 = P²

P² = 49

P = √49

P = 7 feet

change the following fractions to decimal -3/8​

Answers

Answer:

3/8 as a decimal is 0.375.

Which inequality represents the sentence below?
HURRY

Two more than a number is less than 14. 2+

Answers

Answer:

2 + n < 14 is the inequality please

Simplify the expression.
(m^-1 m^5/m^-2)^-3

a)- 3m^4/m^2
b)-m^216
c)m^18
d)1/m^18

Answers

Answer:

option d

Step-by-step explanation:

[tex]\sf \boxed{a^m*a^n = a^{m+n}\\\\}[/tex]

[tex]\sf \left(\frac{m^{-1}m^{5}}{m^{-2}} \right)^{-3} =\left(\dfrac{m^{-1+5}}{m^{-2}}\right)^{-3}[/tex]

                 [tex]\sf = \left(\dfrac{m^4}{m^{-2}}\right)^{-3}\\\\[/tex]

[tex]\boxed{\dfrac{a^{m}}{a^{n}}=a^{m+n}}[/tex]

                    [tex]\sf = \left(m^{4-[-2]}\right)^{-3}\\\\ =\left(m^{4+2}\right)^{-3}\\\\ = \left(m^6\right)^{-3}\\\\[/tex]

[tex]\boxed{(a^{m})^n=a^{m*n}}[/tex]

                    [tex]\sf= m^{6*(-3)}\\\\ = m^{-18}[/tex]

[tex]\boxed{a^{-m}=\dfrac{1}{a^m}}[/tex]

                    [tex]\sf=\dfrac{1}{m^{18}}[/tex]

16. Lena always keeps her bank account
balance above $50, If she spent $11.60 on
lunch, what was her balance before buying
lunch?
PLEASE HELP

Answers

Step-by-step explanation:

so you add the $50 to $11.60 to get your answer

the answer is 38.4 because you have to subtract 50 and 11.60 and you get 38.4

Please help me with this question im really confused on it (please show work)

Answers

Answer:

SA = 434 ft^2

Step-by-step explanation:

We are going to exclude the floor since we are assuming he won't paint the floor. The shed has 5 sides since we aren't going to consider the floor.

length - L

width - W

height - H

surface area - SA

H = 8 ft

L = 14 ft

W = 7 ft

To calculate the area of each side or surface of the shed,

since there are two sides/ surfaces with the same are except for the roof, we will multiply the areas by 2.

Surface area:

SA = 2 × (W×H + L×H) + L×W

SA = 2 × (7×8 + 14×8) + 14×7

SA = 434 ft^2

Determine the zeros of x^2 + 19x = 6x - 30

Answers

Answer:

The number of Zeros (roots) is

-3 and -10

Step-by-step explanation:

x^2 + 19x = 6x - 30

100 apples in total, 65% are green, and 21% of the green apples have worms. how many apples have worms?

Answers

Answer:

14 apples are green with worms.

Step-by-step explanation:

100 apples right

65% are green

21% are green with worms

Imma pretend the first time you meant red ok....

sooo to solve this

.65*100=65 are red

.21*65=13.65 are green with worms

Type your answer in the box. You may use numbers, a decimal point (.), and/or a negative sign (-) in
your answer.
In one design being considered for the container shaped like a cylinder, the container will have a height
of 12 inches. What will be the radius of the container, to the nearest tenth of an inch?

Answers

Answer
Radius = 2.62 in

Solution in picture


If two angles are complementary in a right triangle, then explain how you can find the
value of x if sin 440 = cos x using 2-3 sentences. In the last sentence, give the value of x.

Answers

Answer:

46°

Step-by-step explanation:

Points of note

two angles are complementary in a right trianglesin 44° = cos x°

Solving

The first thing to understand is "complementary" means that the two angles add up to 90°Therefore, 44 + x = 90x = 46°

Answer:

46°

Step-by-step explanation:

Complementary angles

Two angles whose measures sum to 90°

In a right triangle, the angle opposite the hypotenuse is always 90°.  

The interior angles of a triangle sum to 180°, therefore the other two angles are complementary angles since their sum is always 90°.  

So we can label one angle as [tex]x[/tex] and the other as [tex](90-x)[/tex].

The side opposite angle [tex]x[/tex] is the side adjacent to angle [tex](90-x)[/tex].

Therefore, using trig ratios, we can say that [tex]\sin(x) = \cos(90-x)[/tex]

So, if [tex]x=44[/tex] then:

[tex]\implies \sin(44) = \cos(90-44)=\cos(46)[/tex]

If the labor force is 300,000 workers,
but 24,000 are unemployed, what is the
unemployment percentage?
A. 3%
B. 8%
C. 18%
D. 24%

Answers

Answer:

8%

Step-by step explanation:

We are given:

Total workers: 300,000Unemployed workers: 24,000

The formula to determine the percentage of unemployed workers in the total workers, we need to divide the number of unemployed works by the total workers in the labor force. Then, multiply the quotient by 100 to obtain the percentage of unemployed workers.

Formula:

[tex]\dfrac{\text{Unemployed workers}}{\text{Total workers} } \times 100 = \text{Percentage of unemployed workers}[/tex]

Substitute the given values into the formula to determine the percentage of unemployed workers in the labor force.

[tex]\implies \dfrac{\text{24,000}}{\text{300,000} } \times 100 = \text{Percentage of unemployed workers}[/tex]

Now, simplify the equation.  The easiest way to simplify the equation is to temporially ignore the "100".

[tex]\implies \dfrac{\text{24,000}}{\text{300,000} } = \text{Percentage of unemployed workers}[/tex]

Then, cancel the "0's" on the L.H.S. This is a good way to simplify the equation on the L.H.S

[tex]\implies \dfrac{\text{24}}{\text{300} } = \text{Percentage of unemployed workers}[/tex]

Don't forget to multiply the result by 100 as it was temporaily hidden.

[tex]\implies \dfrac{\text{24}}{\text{300} } \times 100= \text{Percentage of unemployed workers}[/tex]

Let 100 be 100/1. Thus, our equation will be:

[tex]\implies \dfrac{\text{24}}{\text{300} } \times \dfrac{100}{1} = \text{Percentage of unemployed workers}[/tex]

Multiply the numerator with the numerator and the denominator with the denominator.

[tex]\implies \dfrac{24 \times 100}{\text{300} \times 1} } = \text{Percentage of unemployed workers}[/tex]

[tex]\implies \dfrac{2400}{\text{300} } = \text{Percentage of unemployed workers}[/tex]

Cancel the "0's" on the L.H.S to make it easier to simplify.

[tex]\implies \dfrac{2400}{\text{300} } = \text{Percentage of unemployed workers}[/tex]

[tex]\implies \dfrac{24}{\text{3} } = \text{Percentage of unemployed workers}[/tex]

[tex]\implies 8 = \text{Percentage of unemployed workers}[/tex]

Thus, 8% of the workers are unemployed workers.

α4 + β4 in α+ β and α β terms

Answers

Step-by-step explanation:

[tex] { \alpha }^{4} + { \beta }^{4} = ( {( { \alpha }^{2} })^{2} + {( { \beta }^{2} })^{2} [/tex]

[tex] = {( { \alpha }^{2} + { \beta }^{2} })^{2} - 2( { \alpha }^{2} )( { \beta }^{2} )[/tex]

[tex] {( {( \alpha + \beta )}^{2} - 2 \alpha \beta ) }^{2} - 2( { \alpha )}^{2} ( { \beta )}^{2} [/tex]

I hope it helped you

Help what is the product?

Answers

Answer:

(6 18)

Step-by-step explanation:

[tex](4 \: 2) \times \binom{ - 2 \: \: \: \: \: \: \: \:5 }{7 \: \: \: \: \: \: - 1} \\ \\ (4 \times - 2 + 2 \times 7 \: \: \: 4 \times 5 + 2 \times - 1) \\ \\ ( - 8 + 14 \: \: \: \: \: \: 20 - 2) \\ \\ (6 \: \: \: 18)[/tex]

Find the slope of the line 11x + y = -30.

Answers

Answer:

slope =  -11 or m = -11

Step-by-step explanation:

11x + y = -30

y = -11x - 30

I hope this helps!

153 = 9k HELP PLEASE THANK YOU

Answers

Answer:

17

Step-by-step explanation:

the number that has the virible with it u divide that number with the number without the varible so 153/9 = 17 and 9k/9=1 so it is 17 the answer is what you got for the number without the varible

ASKING AGAINN COMONN YALL

Answers

Answer:

20 units

Step-by-step explanation:

The y axis is 2-6 so subtract 6 and 2 which is 4

the x axis is 3-9 so subtract 9 and 3 which is 6

The other sides are the same

4+4+6+6= 20

Which of the following lines are shown in the drawing?
КА
B
С
D
E
F
F.
G H
1
K
L
OT
OG

Answers

Answer:

A, B, D

Step-by-step explanation:

According to the drawing we can see the lines

A) LI, yesB) GJ, yesC) CJ, noD) BE, yesE) FA, no

An electrician leans an extension ladder against the outside wall of a house so that it
reaches an electric box 31 feet up. The ladder makes an angle of 78° with the ground.
Find the length of the ladder. Round your answer to the nearest tenth of a foot if
a
necessary.

Answers

Answer:

50.41 feet

Step-by-step explanation:

Hypotenuse = length of ladder

31 = opposite side of angle

sin(angle) = (opposite)/(hypotenuse)

sin(78) = (36)/(hypotenuse)

hypotenuse = sin(78)/ (36)

hypotenuse = 50.41 feet

length of ladder = 50.41 feet

Randy has 1.5 gallons of sprite and 2.25 gallons of coke in his fridge. Andy has 1.15 gallons of sprite and 0.62 gallons of coke. How much more soda does Randy have than Andy?

Answers

Answer:

1.98Gal

Step-by-step explanation:

Randy soda total is 1.5 gal + 2.25 Gal = 3.75 Gal

Andy soda total is 1.15 + 0.62 Gal = 1.77 Gal

3.75-1.77=1.98Gal

1.98

Step-by-step explanation:

1.5+2.25=3.75

1.15+0.62=1.77

3.75-1.77=1.98

Please answer the question in the picture for brainliest

Answers

Answer:

26

Step-by-step explanation:

simply count the number of times the team scored more than 50 points by looking at the graph.

the team scored 51-60 points 11 times, 61-70 points 12 times and 71-80 points 3 times.

so the team scored more than 5 points a total of 11 + 12 + 3 = 26 times

Answer:

26

Step-by-step explanation:

Game scores above 50 points can be represented by the last three boxes to the left. To find the total number of times this happened, add up the values measured by the y-axis:

51-60 = 11 games

61-70 = 12 games

71-80 = 3 games

11 + 12 + 3 = 26

I hope this helps!

While researching the industry she is interested in, Demi sees that the average unemployment rate is 6.3%. How many people, out of every 250, are unemployed? (2 points)
15.75
39.68
45.50
157.5

Answers

Answer:

15.75 is 6.3% of 250.

Formula:
[Percentage] x [Number Given] = [New number]

PLEASE HELP FOR BRAINLIEST ;-;

Find the area of this parallelogram. Be sure to include the CORRECT UNIT in your answer.

Answers

Answer:

182ft^2

pls give brainlyist

Step-by-step explanation:

area of a parallelogram is base  * hight

13ft* 14ft

182ft^2

if the length of diagonal of a square is 4√2 cm, find it's length, perimeter and area.​

Answers

Answer:

As Per Provided Information

Length of diagonal of square is 42 cm

We have been asked to find the length , perimeter and area of square .

First let's calculate the side of square .

Using Formulae

[tex] \boxed{\bf \:Diagonal_{(Square)} \: = side \sqrt{2}}[/tex]

On substituting the value in above formula we obtain

[tex] \qquad\longrightarrow\sf \:4 \sqrt{2} = side \sqrt{2} \\ \\ \\ \qquad\longrightarrow\sf \:4 \cancel{\sqrt{2}} = side \cancel{ \sqrt{2}} \\ \\ \\ \qquad\longrightarrow\sf \:side \: = 4 \: cm[/tex]

Therefore,

Length of its side is 4 cm.

Finding the perimeter of square.

[tex] \boxed{\bf \: Perimeter_{(Square)} = 4 \times side}[/tex]

Substituting the value we obtain

[tex]\qquad\longrightarrow\sf \:Perimeter_{(Square)} \: = 4 \times 4 \\ \\ \\ \qquad\longrightarrow\sf \:Perimeter_{(Square)} = 16 \: cm[/tex]

Therefore,

Perimeter of square is 16 cm .

Finding the area of square .

[tex] \boxed{\bf \: Area_{(Square)} = {side}^{2}}[/tex]

Substituting the value we get

[tex]\qquad\longrightarrow\sf \:Area_{(Square)} \: = {4}^{2} \\ \\ \\ \qquad\longrightarrow\sf \:Area_{(Square)} = 16 \: {cm}^{2} [/tex]

Therefore,

Area of square is 16 cm².

Calculate the rise and run to and the slope of each line. someone help me​

Answers

Answer:

Rise: -4

Run: 3

Solution:The rise is how many units we move up or down.The run is how many units we move left or right.We move down 4 units, so the rise is -4.Then, we "run" 3 units, so the run is 3.

Hope it helps.

Do comment if you have any query.

the point inside a circle that is the same distance from all the points on the circle

Answers

Answer:

the center

Step-by-step explanation:

The only point in the circle that is equidistant from the border is the center, and the lines that connect the center to the points on the circle is called the radius. All radii in a circle are congruent.

there are 36 pupils in a class.the number of boys is twice the number of girls.how many are girls?

Answers

Answer:

12 girls

Step-by-step explanation:

Boys to girls ratio= 1:2

Thats means there are (1+2) 3 total parts.

So [tex]\frac{36}{3}[/tex]=12

Each part is 12 so

boys is 12*2= 24 boys

Girls id 12*1= 12 girls

Answer:

12

Step-by-step explanation:

Total number of students in class ⇒ 36

Given that,

The number of boys is twice the number of girls.

First, let us make an expression to find the number of girls.

For that, let the number of girls be x.

Number of girls ⇒ x

Number of boys ⇒ 2x

Total number of pupils ⇒ x + 2x

So,

x + 2x  = 36

3x = 36

Divide both sides by 3.

x = 12

Therefore, there are 12 girls and 24 boys in the class.

Due NOWW!!! Due right now

Answers

Answer: [tex]A=539\pi /16=105.8m^2[/tex]

Step-by-step explanation:

Think of the white circle being on top of a larger shaded circle. You were given the diameter of this larger shaded circle. And, you were also secretly given the diameter of the inner white circle. If you find the area of the white circle, and subtract it from the area of the shaded circle, you will find the area of the shaded region.

Beginning with the area of the shaded circle. The diamater is 21 meters, while the radius is 21/2 meters. Therefore, the area is:

[tex]A=\pi r^2[/tex]

[tex]A=\pi (21/2)^2[/tex]

[tex]A=441\pi /4[/tex]

Moving on to the white circle. The diameter would be 21 meters with 3.5 meters subtracted from it:

[tex]d=21-3.5=17.5=35/2[/tex]

Therefore the radius is:

[tex]r=(35/2)/2=35/4[/tex]

Which means the area would be:

[tex]A=\pi r^2[/tex]

[tex]A=\pi (35/4)^2[/tex]

[tex]A=1225\pi /16[/tex]

Therefore the shaded region is:

[tex]A=441\pi /4-1225\pi /16[/tex]

Get common denominators:

[tex]A=1764\pi /16-1225\pi /16[/tex]

[tex]A=539\pi /16[/tex]

What shape is this cross-section?
O A. Circle
OB. Trapezoid
O C. Rectangle
O D. Triangle

Answers

Answer:

C. rectangle is cross section shape

You roll 2 six-sided dice. What is the probability of rolling a sum that is less
than 4? Round your answer to the nearest whole number percent.

Answers

The probability is 3/6 or 0.5 or 1/2.

50 POINTS! Please help me! I give Brainliest!
1. Given the following coordinates, complete the listed transformations in sequence, which means you do one after the other.
X(2, 4)
Y(5,-3)
Z(-7, 1)
a) Rotate the points 90 degrees clockwise
b) Dilation by a scaling factor of 2
c) Reflect across the x-axis
d) Translation 2 Up and 5 to the Left

4 PARTS TO THIS QUESTION! ANSWER ALL PLEASE!

Answers

Answer:

Step-by-step explanation:

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