Solve the following inequality:

4(x - 6) < 3x + 13

Answers

Answer 1

Answer:

x < 37

Step-by-step explanation:

4(x - 6) < 3x + 13

Distribute

4x -24< 3x+13

Subtract 3x from each side

4x-3x -24 < 3x+13-3x

x-24 < 13

Add 24 to each side

x-24+24 <13+24

x < 37

Answer 2

Step-by-step explanation:

4(x-6) <3x+13

4x-24<3x+13

CLT

4x+3x<13-24

7x<-11

x= -11/7


Related Questions

find the length of the missing side

Answers

Answer: x=12

Step-by-step explanation:

20 squared= 400 and 16 squared= 256. The Protagorean Theorm is a sqaured plus b sqaured equals c squared. You just reverse the Theorm to C sqaured minus B squared= A squared. 400-256=144 (12x12= 144)

Answer:
x=12

Explanation:
To solve this question, we need to use the equation a^2+b^2=c^2.

A and B are the sides of the right triangle that are perpendicular to each other and C is the diagonal side. So, in this case, a=16, b=x and c=20.

1) plug values into the equation
a^2+b^2=c^2
16^2+x^2=20^2
2) expand the squares
256+x^2=400
3) Subtract both sides by 256
x^2=400-256
x^2=144
4)Square root both sides
x=12

I hope this helps! Please comment if you have any questions.

5.125
Express that as a common fraction
please​

Answers

Answer:

41/8

Step-by-step explanation:

Help me please and thanks

Answers

The answer will be A

Answer:

Step-by-step explanation:

A.

X is greater than negative eight and less than eight and the dots are marking the numbers on the number line

50 points! PLEASE HELP ME !!! I need this done asap!

Answers

Answer:

See Below.

Step-by-step explanation:

We want to write a paragraph proof to prove the following theorem:

If ∠N and ∠M are congruent and supplementary, then ∠N and ∠M are right angles.

Each sentence is numbered:

1) Because ∠N and ∠M are congruent, m∠M = m∠N by the definition of congruent angles.

2) Because ∠N and ∠M are supplementary, m∠M + m∠N = 180.

3) Substitute m∠M to m∠N to get m∠M + m∠M = 180, or 2m∠M=180.  

4) The Division Property of Equality then yields m∠M = 90.

5) Substitute m∠N for m∠M to get m∠N = 90.

6) By the definition of right angles, ∠N and ∠M are right angles.

what fraction is -1/3 minus -5/12 equivalent to as a addition expression.

Answers

Answer:

-3/4 I think do

Answer:

To add or subtract two like fractions, simply add or subtract the numerators and put the result over the common denominator, so your answer is 0.08333333333

Step-by-step explanati

Can someone help me?​

Answers

Answer:

x = 10

Step-by-step explanation:

50 + 4x = 90

4x = 40

x=10

X=10 because it has to add up to 180 so 4 x 10 would equal 40 and 40 + 50=180

HELP MEEEEEE 20 pOInts

Answers

Answer:

55:5

121:11

Step-by-step explanation:

solve this please!!!!!!!!!!

Answers

Answer:

x= 3/a

Step-by-step explanation:

check the attachment for a walkthrough!

What he said.............

Choose the property that justifies each step.
5(x - 1) = 4x+ 13

1) 5x- 5 = 4x + 13 ________

2)X- 5 = 13 ________

3) x= 18________

Options for each answer:

•Addition Property of Equality
•Distributive Property
•Multiplication Property of Equality
•Subtraction Property of Equality
•Transitive Property of Equality

Answers

Answer:

1. Distributive Property

2. Subtraction Property of Equality

3. Addition Property of Equality

The property that justifies each step of 5(x-1) = 4x + 13 is 5x - 5 = 4x + 13.

What is distributive property ?

Distributive property is when we distribute and multiply in between addition and subtraction

Given 5(x-1) = 4x + 3.

We know a(b+c) = ab + ac which is distributive property.

So, 5(x-1) = 4x + 3.

5x - 5 = 4x + 3.

Solving these problem and finding the value of x

5x - 5 = 4x + 13.

5x - 4x = 13 + 5.

x = 18.

learn more about distributive property here :

https://brainly.com/question/5637942

#SPJ2

Translate the sentence into an inequality.
The sum of a number times 10 and 16 is at most 28.
Use the variable c for the unknown number.

Answers

Given:

The sum of a number times 10 and 16 is at most 28.

To find:

The inequality for the given statement.

Solution:

Let the unknown number be c.

A number times 10  = 10c

Sum of a number times 10 and 16 = 10c + 16

At most 28 = Number should less than or equal to 28.

The inequality for given sentence is

[tex]10c+16\leq 28[/tex]

Therefore, the required inequality is [tex]10c+16\leq 28[/tex].

If NK = 23, what is the value of x?

Answers

X = 13 because if NK = 23 that means the equation is x-6+9+2x-19 = 23 then you subtract 9 from each side of the equals sign and add the x’s together than add -6 to -19 and get a equation of 3x-25 = 14 then add 25 to each side and get 3x = 39 the divided 39 by 3 and get x = 13


solve please!!!!!!

Answers

Answer:

no solution

Step-by-step explanation:

Answer:

d. x=3 and x-11

Step-by-step explanation:

What is the value of x in this equation? 2x + 10 = -28

Answers

Answer:

X=19

Step-by-step explanation:

2x + 10 = -28

     -10     -10         Subtract 10 from both sides

divide both sides by 2

That gives you

X= 19

I need help on this question

Answers

Answer:

a3

Step-by-step explanation:

answer one would be the correct answer-3

Determine if the sequence is arithmetic or geometric, and find the common difference or ratio.


x 1 2 3 4
f(x) 5 −5 −15 −25
Arithmetic, common difference = −10
Arithmetic, common difference = −1
Geometric, common ratio = −10
Geometric, common ratio = −1

Answers

Answer:

The correct option is;

Arithmetic, common difference = -10

Step-by-step explanation:

The x terms given of the sequence are;

x         [tex]{}[/tex]  1          2         3         4      

f(x)      [tex]{}[/tex]   5        -5       -15        -25

For a geometric progression, a·r/a = a·r²/ar = ar³/ar² = (n + 1)/n = r

We check to obtain -5/5 ≠ -15/(-5), therefore, the system is not a geometric progression

For ab arithmetic progression, we have;

(n + 1)th term - nth term = (n + 2)th term - (n + 1)th term = d (The common difference

We check to obtain -5 - 5 10, -15 - (-5) = -15 + 5 = -10 similarly, we have; -25 - (-15) = -25 + 15 = -10

Therefore, the sequence is an arithmetic sequence, with common difference = -10.

Answer:

option 1 A)arithmetic,common difference= -10

Step-by-step explanation:

i took the test and got the answer correct

through: (0, 4) and (−2, −4)

Answers

Answer:m=4

Step-by-step explanation:Use the slope formula. The set up would be -4-4/-2-0. This gives us -8/-2 which you can simplify to 4.

3 pounds of peanuts for $7.50. How much is the cost per pound


plz put in comments i dont have brainly plus :/

Answers

Answer:

you take 7.50 and divide it by 3 which equals $2.50

Is (2, 3) a solution to the
following system of
equations? How do you
know?
15x - y = 6
6y - 6x = 6

Answers

Answer:

free points for me thank you buddy

where do i put the lines ? also is it a function

Answers

okay if I'm doing this right then

-3 goes to 1

-2 goes to 0

1 goes to 2

3 goes to -4

-3 goes to 5

I think you put the x to the y ones

BRAINILEST IF ANSWERED QUICKLY AND CORRECT.

(05.01)Dawn is making an abstract painting with two triangles. The dimensions of the painting are shown below:

Two triangles share the same height of 8 inches. One triangle has a base of 6 inches and the other is 10 inches.

The total area of the two triangles is _____ square inches.

Answers

Answer:

64

Step-by-step explanation:

A=1/2bh

basic multiplication after that

Answer:

Multiply the height by the base to get the area. 8 x 6 = 48. The area of the first triangle is 48 square inches. 8 x 10 = 80. The area of the second triangle is 80 square inches.

Step-by-step explanation:

Points A, B, and C are collinear. Point B is between A and C. Solve for x
Find AC if BC=11x-1, AC=21x, and AB=11.

Answers

girl I struggle with this

what is the equivalent fraction of 4/5​

Answers

Answer:

16/20

Step-by-step explanation:

4*4=16.
5*4=20.

Answer: 16/20.

TBH I don't know what grade it is but who ever answers this is gonna get brainlest. The question is if Jonny had a coupon for a 74% off and he got something for $259 how much will he have to pay.​

Answers

$67.34. if you multiply the total amount of money he has (259) by the percentage of (74) you will get (19,166). you then will divide the total by (100). which then gives you ($191.66) that will be given off. so you then subtract the total of money he has (259) by (191.66) which will give you (67.34). he will be paying ($67.34).

Which expression is equivalent to 4(6g - 5) - (3g + 4)?

Answers

Answer:

Step-by-step explanation:

24g-20-3g+4

21g-20+4

21g-16

g=.76

Answer:

Step-by-step explanation:

it is 21g-24

help pls am confused ​

Answers

Answer:

Given, x−x1=5

Squaring both the sides,

⇒(x−x1)2=52

⇒x2+x21−2(x)(x1)=25

⇒x2+x21=25+2

⇒x2+x21=27

Now,

x3−x31

=(x−x1)[(x)2+(x1)2+(x)(x1)]

=5(27+1)

=140

9514 1404 393

Answer:

  322

Step-by-step explanation:

Consider the cube ...

  (a +b)³ = a³ +3a²b +3ab² +b³

  = a³ +b³ +3ab(a+b)

Now, for a=x and b=1/x, we have ...

  (x +1/x)³ = x³ +1/x³ +3(x)(1/x)(x +1/x)

Using the known value for x+1/x, this is ...

  7³ = x³ +1/x³ +3(7)

  x³ +1/x³ = 7³ -3·7 = 343 -21

  x³ +1/x³ = 322

_____

If you want to try this with numbers, the solutions to the original equation are ...

  x ≈ 6.85410196625 and its reciprocal.

PLEASE SOMBODY HELP ME I WILL GIVE BRAINLY IF YOU ARE CORRECT 10 POINTS

Answers

1. D= 500/40
2.D= 125/v
3.80= m/1.4
4.D= m/v

This graph represents −2x+y=4.

Which ordered pair is in the solution set of −2x+y≥4?



(2, −1)

(−2, −1)

(−2, 1)

(2, 1)

Answers

Answer:

-2,1

Step-by-step explanation:

Answer:

the answer is (-2,1)

I NEED HELP WITH THIS QUESTION!!

Answers

Answer:

- 1

Step-by-step explanation:

The product of the slopes of lines perpendicular to each other is - 1

Given y = 4x - 5 with slope 4

y = - [tex]\frac{1}{4}[/tex] x - 5 with slope - [tex]\frac{1}{4}[/tex] then

4 × - [tex]\frac{1}{4}[/tex] = - 1 proving the lines are perpendicular

4. Which is NOT a way in which thermal energy is transferred? A. Conduction , B. Convection , C. Radiation , D. Sublimation


WILL MARK BRAINLIEST!!

Answers

Answer:

Convection

Step-by-step explanation:

Conduction means the heat energy is being transferred .Hence its not the ansRadiation is a process happened in radioactive elements like radium,uranium etc by which they release beta or alpha particles.Sublimation happens like a solid converted to gas or gas converted to solid directly.

The correct option is  C Radiation.

Conduction means transfer of energy (heat) arising from temperature differences between adjacent parts of a body.

Convection is the transfer of thermal energy by the physical movement of fluid (liquid, gas, or plasma) from one location to another.

Radiation is an electromagnetic radiation that is emitted by a body as a result of its temperature. All objects with a temperature above absolute zero emit thermal radiation in a spectrum of wavelength.

Sublimation is the process of changing a solid into a gas without passing through the liquid phase. To sublime a substance, a certain energy must be transferred to the substance via heat (q) or work (w).

Hence from all the above definitions it is clear that every phenomenon except  radiation transfer some amount of thermal energy.

Hence through Radiation thermal energy is not transferred.

For more details on Radiation follow the link:

https://brainly.com/question/5216161

1/6 = 5/12 + p

Solving Equations.

Answers

Answer: p= -3/12 or p= -.25
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