Solve −3(7n+3)<6n. Write the solution using set-builder notation.

Answers

Answer 1
-1/3 is less than n.

you distribute and solve for n.
Answer 2

The set builder notation of the inequality  - 3(7n + 3) < 6n is,

{n : n ∈ R, n > - 3 }.

What are inequalities and their types?

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, An inequality - 3(7n + 3) < 6n.

Now, distributing the terms we get,

- 21n - 9 < 6n.

- 21n - 6n < 9.

- 27n < 9.

27n > - 9.          (Think of moving the variable to the other side to make it

                                                                                                        positive).

n > - 27/9.

n > - 3.

learn more about inequalities here :

https://brainly.com/question/28823603

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Related Questions

If the area of a square is 25 m2, its perimeter must be

Answers

Answer:

20m

Step-by-step explanation:

A=s^2

root 25=s

s=5m

so to find perimeter we will use the formula 4s

P=4×5

P=20m

please mark as brainliest

Answer:

The perimeter of the square must be 20m

Step-by-step explanation:

•Area of a square = side²

25m² = side²

5 m = side (square root)

•Perimeter of a square = 4 x side

4 x 5m

20m

Posting this here because why not, it's not like anybody will do it.

Answers

Answer:

1. 264

2. degree: 6, term: 3xy^5

3. -60x^3-2x^2+9x

4. 6mn^3-4m

5. 8x^3-4x+2

6. -x^2-6x-13

Step-by-step explanation:

Find the volume and explain your answer round to the nearest tenth!!

Answers

I think the answer is 616m^3

hello help please i’ll mark brainliest!!!

Answers

Answer: The answer is the milky way galaxy.

Step-by-step explanation: It is that answer because nothing is brighter than it.

Answer:

The Milky Way galaxy

Step-by-step explanation:

What is the center of dilation?

Answers

Answer:

Original coordinates of F is (2,1)

Step-by-step explanation:

when DEFG is dilated by a scale factor of 1/2 with a dilation center of (0, 0), coordinates of point F' will be ( 1, 1/2)

9. Find the value of x.

(look at the picture)

Answers

Answer:

use the fact that triangles only have room for 180 degrees inside, so all the angles must add up to 180, no more, no less. You can also jsut insert the options for x values until you find the right one(shouldnt take too long).

Step-by-step explanation:


Sales tax in Rally County is 8%. What would the amount of tax be on a $50 restaurant bill? Express your answer in the form of a decimal

Answers

54.00
50x4%=4
50+4=54

8. Find X
help i need this today

Answers

It’s 144

You do a^2 + b^2 = c^2

B is 42 and C is 150 since it’s the hypotenuse

You do it all out and get 22,500 - 1764

Then find the square root and end up with 144

PLEASE HELP SHOW YOUR WORK. HURRY I WILL MARK YOU BRIANLIEST.

Answers

Answer:

6.86

Step-by-step explanation:

First, divide 4.90 by 5 then multiply 0.98 by 7.

Mr. Romero buys 3 chairs at a cost of $27.90 for each chait. Estimate the
least number of $20 bills he needs to buy the chairs.

Answers

Answer: 5

Step-by-step explanation:

Answer:

5, $ 20 bills

Step-by-step explanation:

27.90× 3 = around 85

$85÷ $20=4.25

So 5, 20 dollar bills because it is more that 4

320 is what percent of 138?​

Answers

Answer:

43.13

Step-by-step explanation:

What is 238394 divided by 624

Answers

Answer:

382.041666667

Step-by-step explanation:

Answer:

382.0416

Step-by-step explanation:

A repairman leans the top of an 26 foot ladder against the
top of a stone wall. The base of the ladder is 4.7 feet from
the wall. How tall is the wall? (Use Pythagorean Theorem:
a² + b2= c2)

Answers

Answer:

653.91 squared or 326.955 not squared

Step-by-step explanation:

We have a hyponuse of 26 and one leg of 4.7 and we are trying to figure out the missing leg!

The first step is

A^2 + B^2 = C^2

2 step

4.7^2 + B^2 = 26^2

3 step

4.7 x 4.7 =  22.09  and 26 x 26 = 676

4 step

22.09 + B^2 = 676

5 step

676 - 22.09 = 653.91

6 step

Answer

653.91 squared or 326.955 not squared!

hope this helps

Annie has two equal-sized pies. She served 5/8
of the first one and 1.3 of the second one. What fraction shows the total amount of pie left?

Answers

9514 1404 393

Answer:

 25/24

Step-by-step explanation:

Annie has 1 - 5/8 = 3/8 of the first pie left.

Annie has 1 - 1/3 = 2/3 of the second pie left.

The total fraction of pie left is ...

  3/8 + 2/3 = (3·3 +8·2)/(8·3) = 25/24 . . . of a pie left

Answer:

25/4

Step-by-step explanation:

........................

i just need the answer lol

Answers

Answer:

C and D

Step-by-step explanation:

They are both roots of the equation.

Tehara has read 115 pages of a 305-page book. She reads 10 pages each day. How many days will it take to finish?

10
+
115
p
=
305
10 + 115 p = 305

10
p
+
305
=
115
10 p + 305 = 115

115
+
10
p
=
305
115 + 10 p = 305

115

10
p
=
305
115 · 10 p = 305













Tehara has read 115 pages of a 305-page book. She reads 10 pages each day. How many days will it take to finish?

10
+
115
p
=
305
10 + 115 p = 305

10
p
+
305
=
115
10 p + 305 = 115

115
+
10
p
=
305
115 + 10 p = 305

115

10
p
=
305
115 · 10 p = 305











Tehara has read 115 pages of a 305-page book. She reads 10 pages each day. How many days will it take to finish?

Answers

Answer: 19 days

Step-by-step explanation:

Answer:

115 + 10x = 305

x = 19

It will take her 19 days to finish.

Plz help due tomorrow

Answers

Answer:

-16

Step-by-step explanation:

you need to distribute the 2 to the (-8) :D

Answer:

-8x + (-16) = 24

Step-by-step explanation:

-8(x + 2) = 24

-8*x and -8*2

-8x + (-16) = 24

Just in case you need to solve:

-8x = 40

x = -5

please help!! I suck at this :(

Answers

Answer:

41/50

Step-by-step explanation:

82% = 0.82 = 82/100

82/100 reduced is 41/50

Much saved $6 on a $40 pair of pants

Answers

Is there supposed to be a question or ru just talkin abt ur day?

Answer:

SHEEESH? MIND IF U SHARE?

Step-by-step explanation:

5a+2b=14 6a+2b=16
Solve in stimultaneous

Answers

Answer:

A=2 b=2

Step-by-step explanation:

5a+2b=14

6a+2b=16

6a+2b-(5a+2b)=16-14

6a+2b-5a-2b=2

a=2

b=2

line a passes through the points (3,4) and (-1,2). line b passes through the points (-12,0) and (-6,-4). at what point do the lines intersect

Answers

Answer:

The point of intersection of the two lines is;

(-9,-2)

Step-by-step explanation:

What we have to here is to get the equation of both lines, solve simultaneously and get the intersection points

For the first line;

The general form is

y = mx + b

formula for the slope is;

m = (y2-y1)/(x2-x1)

The points (3,4) and (-1,2)

m = (2-4)/(-1-3) = -2/-4 = 1/2

So the equation is;

y = 1/2x + b

To get b, let us substitute coordinates of the first point;

4 = 1/2 * 3 + b

4 = 3/2 + b

b = 4 - 3/2

b = (8-3)/2 = 5/2

So the equation is;

y = 1/2x + 5/2

For the second line;

Slope;

m = (-4-0)/(-6+12) = -4/6 = -2/3

The equation is;

y = -2x/3 + b

Let us substitute the first

0 = -2/3(-12) + b

0 = 8 + b

b = -8

The equation is;

y = -2x/3 - 8

Now , we want to get the intersection point

To do this, we have to solve both equations simultaneously;

Since we have an expression for y in both cases, let us equate both y

-2x/3-8 = 1/2x + 5/2

Multiply through by 6

-4x - 48 = 3x + 15

-4x-3x = 15 + 48

-7x = 63

x = 63/-7

x = -9

To get x;

Recall;

y = -2x/3 - 8

y = -2/3(-9) - 8

y = 6 - 8

y = -2

what is the exact value of X

Answers

Answer:

x=2

Step-by-step explanation:

hi so im gonna be honest im too lazy to write down how i found the answer but it should be x=2. hope it helps!

ps pls tell me if it was correct :)

Which terms of the polynomial are affected by the coefficient “5” in the product of (5X + Y)(X + Y)?

Answers

Answer:

X and XY

Step-by-step explanation:

When you expand and compare the result to (X+Y)^2, you will see that the only terms different are those with the variable X. This means that the only terms affected are X and XY.

PLEASE HELP!!!
Find the areas of the trapezoids.

Answers

Answer:

1) A = 48 sq units  2) 42 sq units

Step-by-step explanation:

The formula to find the area of a trapezoid of a trapezoid is A = 1/2(b1+b2)h.

So for number 1, it is stated that the height of each unit is 2. Now let's substitute the variables in the formula with the actual bases and heights. I got A = 1/2(8+4)8, A=6*8, A=48 sq units.

For number 2, each unit also has a height of 2. Let's substitute the variables in the formula again. And we get A = 1/2(10+4)6, A = 7*6, A = 42 sq units.

This is how you find the areas of the trapezoids!

f(n)=45⋅(4/5)^n−1
complete the recursive formula of f(n)

Answers

F(1) = 45

f(n) = f(n-1) * 4/5

Step-by-step explanation:

f(n) = 45 x (4/5)ⁿ⁻¹

f(1) = 45 x (4/5)¹⁻¹ = 45 x (4/5)⁰ = 45 x 1 = 45

f (n-1) = 45 x (4/5)ⁿ⁻¹⁻¹ = 45 x (4/5)ⁿ⁻²

f(n) = f(n-1) * (4/5)¹ = 45 x (4/5) ⁿ⁻²⁺¹ = 45 x (4/5)ⁿ⁻¹

Answer:

45

4/5

Step-by-step explanation:

khan academy

Can someone help? I'll give brainliest if the answer is correct and and if an explanation of how to do this is provided.

Answers

Answer:

[tex] m\angle E[/tex] = 77°

Step-by-step explanation:

I triangle ACE, BD || AC.... (given)

[tex] m\angle B =m\angle A[/tex]

(corresponding angles)

9x - 5 = 8x + 4

9x - 8x = 5 + 4

x = 9

3x° = 9*3° = 27°

(9x - 5)° = (9*9 - 5)° = (81 - 5)° = 76°

[tex] m\angle E[/tex] = 180° - (27° + 76°)

(By interior angle sum theorem of a triangle)

[tex] m\angle E[/tex] = 180° - 103°

[tex] m\angle E[/tex] = 77°

Help me solve this problem please

Answers

Answer:

[tex]\sqrt{29}[/tex]

Step-by-step explanation:

Okay assuming one block=1 then we can draw a triangle and use the pythagorean theorem

5^2+2^2=c^2

Like in the picture

Who want to help me out

Answers

Answer:

A, B, and C

Step-by-step explanation:

Since there are no right angles, 89 is too close to 90 which is a right angles (which there are no angles even close to 90) and 94 would be too large since all angles are less than 90 degrees.

4.) Solve the proportion.
2
9
II
3 k + 1

Answers

Answer:

b

Step-by-step explanation:

Sorry if its wrong I hope I helped!!!!

PLSS HELP ME ASAP!!! I WILL GIVE YOU BRAINLYEST!!! PLSS JUST HELP ME :(

The pyramid below has a rectangular base with an area of 150 square feet. The height of the
Pyramid is 30 feet.
30 ft.

What is the volume of this pyramid in cubic feet?

A. 180
B. 1500
C. 4500
D. 45,000

Answers

Answer:

4500

Step-by-step explanation:

150*30=4500

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