find the solution set of 1/3x-4≤ 2+x​

Answers

Answer 1

1/3x*3-4*3≤ 2*3+x*3

x-12≤6+3x

-12-6≤3x-x

-18/2≤2x/2

-9≤x

OR

1÷3x-4≤ 2+x

x-12≤6+3x

-12-6≤3x-x

-18/2≤2x/2

-9≤x

Answer 2

Answer:

[-9 ≤ x] or [x ≥ -9]

Step-by-step explanation:

QUESTION :-

Find the solution set of →  [tex]\frac{1}{3} x - 4 \leq 2+ x[/tex]

SOLUTION :-

Simplify the L.H.S.

[tex]=> \frac{x-12}{3} \leq x + 2[/tex]

Multiply both the sides by 3

[tex]=> \frac{x - 12}{3} \times 3 \leq 3(x + 2)[/tex]

[tex]=> x - 12 \leq 3x +6[/tex]

Substract 'x' from both the sides

[tex]=> x - 12 - x \leq 3x + 6 -x[/tex]

[tex]=> -12 \leq 2x + 6[/tex]

Substract 6 from both the sides.

[tex]=> -12 - 6 \leq 2x + 6 - 6[/tex]

[tex]=> -18 \leq 2x[/tex]

Divide both the sides by 2.

[tex]=> \frac{-18}{2} \leq \frac{2x}{2}[/tex]

[tex]=> -9 \leq x[/tex]  or  [tex]x \geq -9[/tex]


Related Questions

Math question due today. 20 points.


A bathtub is the shape of a rectangular prism. The dimensions are 5 1/4 ft x 2 1/2 ft x 2 3/4 ft. What is the volume of the bathtub?


A. 10 1/2 ft
B. 36 3/32 ft
C. 14 7/16 ft
D. 13 1/8 ft

(No photo provided.)

Answers

Answer: 36 3/32 so the answer is B.

Step-by-step explanation:

Your answer is B.) 36 3/32
Explaantion:
The formula for volume of a rectangular prism is length x width x height.

Have a nice day.

hello!!! i’ll give brainliest if you want but please answer correctly

Answers

Answer:

The answer is flint sickles

Step-by-step explanation:

The answer is A. Those were the things they used to plant, or a type of technology used for that kind of job or source. Hope this helps!



What is the value of the expression 4(80+ b) - 12, where b=20?
Α. 328

Β. 352
C. 388

D. 412

Answers

Answer:

B. C which is the answer.

Answer:

Step-by-step explanation:

c=388

find the value of x pls help me

Answers

Answer: 46°

Please ignore this, I do not have enough characters to share this answer unless I put a bunch of random stuff.

help me with this math question it is 4-36=x-180​

Answers

Answer:

4-36 = -32

-32 + 180 = 148

Therefore | x = 148

I hope I helped! :)

Answer:

148

Step-by-step explanation:

=> -32=x-180

=> -32+180=x

=> 148=x

Mark me brainliest :))

A donkey eats three fifths of a hay bale a week.
How many bales does he eat in 10 weeks?

Answers

Answer:

Step-by-step explanation:

the donkey eats 3/5 of hay bale a week

3/5 x 2 = 6

the donkey eats 6 hay bales in 10 weeks

The amount of bales the donkey eats in 10 weeks is 6 bales.

Given,

A donkey eats three-fifths of a hay bale a week.

We need to find out how many bales he eats in 10 weeks.

How do we compare two quantities?

Example:

2 miles in 1 hour

2 miles = 1 hour

To find miles in 4 hours we multiply both sides by 4.

4 x 2 miles = 4 x 1 hour

8 miles = 4 hours

We have,

Donkey eats:

3/5 bales = 1 week ____(1)

In 10 weeks:

Multiply 10 on both sides of (1)

10 x 3/5 bales = 10 x 1 week

6 bales = 10 weeks

Thus the amount of bales the donkey eats in 10 weeks is 6 bales.

Learn more about the number of bales a donkey easts in 21 days here:

https://brainly.com/question/14429901

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Find the Value of X. Thanks.

Answers

Answer:

x = 90

Step-by-step explanation:

This will add up to 360 degrees in total

90 + 90 + 90 + 90 = 360 therefore x = 90 Hope that helps!

HELP IM BEING TIMEDDD THANK YOU

Answers

Answer: A and C!

yw :DD\

Can someone please help me solve this. Also pls don’t give me a link.

Answers

The answer would be H.
To find this, use the quadratic formula.
x = 4 ± sqrt(-4)^2 - 4(2)(-5)/4
x = 4 ± sqrt 16+40/4
x = 4 ± sqrt 56/4
And that is your final answer!
H is the best answer and if you want it solved down I can give it to you too !

Help me, please!!!!!!!!!

Answers

Answer:

x ≈ 17.32, y = 20

Step-by-step explanation:

sin (30°) = 10/y

=> y = 10/sin (30°)

=> y = 20

x = [tex]\sqrt{20^{2} - 10^{2}}[/tex]

=> x ≈ 17.32

Select the correct answer.
Which inequality can this number line represent?
PLEASE HELP!!!!

Answers

Answer:

A, because x>3 or x<-4

Answer: D is the answer.

-4 < x < 3

Step-by-step explanation:

5x-2>-22 and 6x - 7 < 11

5x > -20 and 6x < 18

x > -4 and x < 3

Rearrange: -4 < x < 3 answer choice D

45 cm
60 om
What is the length of the hypotenuse?
centimeters?

Answers

Answer:

Answer:

Length of leg of triangle =  

Step-by-step explanation:

We are given a 45°-45°-90° triangle with hypotenuse measuring 18 cm.

Let us assume the following labeling of the diagram, as attached in the answer area.

The two angles here are equal to 45° so two sides of the triangle opposite to the equal angles will also be equal to each other i.e. it is an isosceles triangle.

i.e. The sides XY and YZ will be equal.

Let XY = YZ = x cm

It is known that in a right angled triangle, pythagorean theorem holds well.

As per pythagoream theorem:

Putting the values:

So, the length of leg of triangle =

Step-by-step explanation:

75cm
45squared times 60squared then take the square root of that answer

I PROMISE TO GIVE BRAINLIEST BUT ONLY IF YOU ANSWER CORRECTLY

Before they graduate from Great Lakes High School, all 12th grade students fill out a survey about their future college plans.


Are you attending an in-state college after high school graduation?
Will you begin college during the summer semester?
The same group of students are asked to answer yes or no to both questions. The students’ responses were recorded on the table below.

Determine the probability that a student will begin college during the summer semester and attend an in-state college.
Determine the probability that a student will begin college during the summer semester given that he is attending an in-state college.

Answers

The probability is P = 0.894

How to get the probabilities?

a) Determine the probability that a student will begin college during the summer semester and attend an in-state college.

The probability is given by the quotient between the number of students that start on summer semester and attend to an in-State college, and the total number of students that start on the summer semester.

The number of students starting on the summer semester is:

178 + 21 = 199

Of these 199 students, 178 will attend to an in-state college, so our probability is:

P = 178/199  = 0.894

If you want to learn more about probability:

https://brainly.com/question/25870256

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4) Chelsea has homework in six subjects.
She is deciding what order to complete
them in

Answers

Answer:

This isn't really a math problem since there aren't many numbers or variables provided to create an equation. So Chelsea can complete her homework in any order of her choice, but I would say that she should complete the homework that's due first before moving onto the more recent homework that was given.

Our club has 10 members, and we need to appoint a president, a vice president, and a secretary. How many ways can we do this if: Each member can hold at most one office. Members can hole any number of offices

Answers

Answer: 720

Step-by-step explanation:

Given

A club has 10 members and needs one president, a vice president, and a secretary

There are 10 positions for president i.e. 10 ways to select a member for it

Similarly, there 9 persons left to choose a position for vice president

likewise 8 persons for secretary

Total no of ways to do it are

[tex]\Rightarrow 10\times 9\times 8\\\Rightarrow 720\ \text{ways}[/tex]

there are 5 smiles Linda mad one a fawn haw many smiles are there now

Answers

Answer:

4

Step-by-step explanation:

5 smiles - 1 = 4 smiles

Answer:

I think there are still 5 smiles. I dont know

GIVING BRAINIEST IF CORRECT!!
Find the area of the shaded region.

Answers

Area of Shaded triangle as a whole: 136cm^2
Area of Rectangle 1 : 20cm^2
Area of Rectangle 2 : 6cm ^ 2

Area of the shaded region :
136 - (20+6)
136 - (26)
110 cm^2

Answer:

110 cm²

Step-by-step explanation:

17 · 8

136 cm²

4 · 1.5

6 cm²

5 · 4

20 cm²

20 cm² + 6 cm²

26 cm²

136 cm² - 26 cm²

110 cm²

A college entrance exam has a mean of 500. A small liberal arts college has two years of applications, each with 100 prospective students. The college conducts hypothesis tests to determine whether its applicants are significantly better than the general population of applicants. The first year of applicants has a mean of 510, whereas the second year of applicants has a mean of 505. Which sample will produce the largest probability value

Answers

Answer:

cjxbdjd xkdnkdkdns xkdnskzkns xkdnd d d d d d d d. d d dd d d d d. d d d d d d d d d d dd. d d

Solve for x. Round your answer to the nearest tenth

Answers

Answer:

6.1

Step-by-step explanation:

tan 27° = x/12

x = 12 · tan 27°

x = 6.1

Select the correct answer. Which of the following best describes physical science? Ο Α. the study of motion OB. the study of matter and energy O c. the study of Earth's structure and processes OD the study of reactions Ο Ε. the study of living things​

Answers

Answer: Its Easily B The Question Is Easy

Answer:

Option B

Step-by-step explanation:

PLATO.

Ty has a $30 gift card. He already bought a $9 book, and wants to buy $3
journals. How many journals can she buy without going over the card's
limit?

Answers

Answer:

ty can buy 7 journals

Step-by-step explanation:

Answer:

7 Journals

Step-by-step explanation:

$30-$9=$21

$21/$3=7

i need help with this question

Answers

The question isn’t up there.

50.26 to nearest hundredth

Answers

Answer:

it's already in the hundredths place

Step-by-step explanation:

.1 <- tens place

.01<- hundredths place

.001<-thousands place

For school lunch students have 3 meat choices (beef, chicken, or fish), 2 potato choices (mashed or fried), and 3 drink choices (milk, juice, or water).

How many different combinations could students create using one meat, one potato, and one drink?
- 8
- 9
- 11
- 15
- 18

Answers

Answer:

18

Step-by-step explanation:

[tex]3 \times 2 \times 3[/tex]

That will give you 18 which is the answer

18 , if you multiply 3 x 3 x 2 = 18

4/7=x/12 round to the nearest tenth

Answers

Answer:

6.9

Step-by-step explanation:

I will use cross-multiplication for this problem:

[tex]\frac{4}{7} =\frac{x}{12} \\\\7x=48\\\\x=\frac{48}{7} \\\\x=6.857[/tex]

Rounded to tenths:

6.9

KaVaugn wants to solve the following system using the elimination method:

y = x − 6
y = -4x − 19

What number should the equation y = x − 6 be multiplied by to eliminate x? (4 points)

a
1

b
2

c
4

d
−6

Answers

I believe that the answer is C

Answer:

d.-6

Step-by-step explanation:

sana makatulong

A truck bed has a volume of 120 cubic feet. The bed is 4 feet wide and has a height of
3 feet. What is the length of the bed?

Answers

Answer:

1440

Step-by-step explanation:

you have to do length x width x height

A cone has a radius of 2 centimeters and a height that is 24 cm. Using 3.14 for pi, which of the following can
be used to calculate the volume of the cone?

Answers

Answer:

option 3

Step-by-step explanation:

[tex]volume = \frac{1}{3} \pi r^2 h = \frac{1}{3} \times 3.14 \times 2^2 \times 24[/tex]

Triangle X Y Z is shown. Angle X Y Z is 51 degrees and angle Y Z X is 76 degrees. The length of X Z is 2.6, the length of X Y is z, and Y Z is x.
Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction

What is the value of z, rounded to the nearest tenth? Use the law of sines to find the answer.

2.7 units
3.2 units
4.5 units
5.3 units

Answers

Answer:

3.2 units

Step-by-step explanation:

Use the law of sines

z/sin 76 = 2.6/sin 51

z = 2.6 sin 76/sin 51 = 3.2

Does anyone know how to find the volume of a cylinder?​

Answers

Answer:

V=πr2h

you could've searched this up but i hope this helps anyway

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