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

Translate the sentence into an equation.
Four more than the product of a number and 9 equals 6.
Use the variable w for the unknown number.

Answers

Answer:

9w+4=6 I believe is the answer

The translation of four more than the product of a number and 9 equals 6 into an equation is 9w + 4 = 6

Given,

Four more than the product of a number and 9 equals 6.

We need to translate the sentence into an equation.

What is the meaning of some important mathematical terms?

- More than means we need to add.

- Product means we need to multiply.

- Equals means =

- Sum means adding

- Less than means we need to subtract.

Translate the given sentence into an equation.

Four more than = + 4

Let the number be w.

the product of a number and 9 = w x 9

We get,

9w + 4 = 6

Thus the equation is given by 9w + 4 = 6.

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helpppp please thanksssss .

what inequality represents each verbal expression?
a. all real #'s x greater than 2
b. 6 more than a # k is less than or equal to 12

Answers

Answer:

I think the answer is B

Step-by-step explanation:

The inequality that represents "all real number's 'x' greater than 2" is [tex]x > 2[/tex] and the inequality that represents "6 more than a number 'k' is less than or equal to 12" is [tex]6 + k \leq 12[/tex].

a)

Given :

All real number's 'x' greater than 2

So, the inequality that represents the given verbal expression is given below:

[tex]x > 2[/tex]

where 'x' is the real number.

b)

Given :

6 more than a number 'k' is less than or equal to 12.

So, the inequality that represents the given verbal expression is given below:

[tex]6 + k \leq 12[/tex]

where 'k' is the given number.

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Solve for x. Show your work: x + 3 = 12

Answers

Answer:

x=9

Step-by-step explanation:

The objective is to get x by itself, so to do that we need to subtract three from both sides:

x + 3 = 12

      -3    -3

12-3= 9.

So, x=9.

Hope this helped!

Answer: x=9

x+3=12

1x+3=12

      -3

   =9

1x =9    --->  1x/1   9/1

/1   /1    --->  1x/1   9/1

x=9

Step-by-step explanation:

sorry if this doesn't make sense

d. How many dozen doughnuts are there in 46.2 doughnuts?

Answers

Answer:

3.85

Step-by-step explanation:

46.2/12=3.85

Answer:

3.85 dozens of doughnuts

Step-by-step explanation:

well first of a dozen equals 12

dozen = 12

and if you have 46.2 doughnuts then you would divide that be 12

46.2 / 12 = 3.85

46.2 doughnuts is equal to 3.85 dozens

I need help finding the slope, the y-intercept and the equation?

Answers

Answer:

y is (0,-2) thats all i know sorry

Step-by-step explanation:

The equation of line will be;

⇒ y = x + 2

And, The y - intercept will be 2.

What is Equation of line?

The equation of line with slope 'm' and y - intercept at point 'b' is given as;

⇒ y = mx + b

Given that;

The points on the graph are (0, 2) and (- 2, 0).

Now,

Since, The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope 'm' is defined as;

y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Thus, The slope of the line with the points (0 , 2) and (-2, 0) is;

m = (0 - 2) / (- 2 - 0)

m = - 2/- 2

m = 1

So, The equation of line passing through the points (0 , 2) and (-2, 0) with slope 1 is defined as;

y - y₁ = m (x - x₁)

y - 2 = 1 (x - 0)

y - 2 = x

y = x + 2

Now, Compare with the equation y = mx + b, we get;

The y - intercept = 2

Thus, The equation of line will be;

⇒ y = x + 2

And, The y - intercept will be 2.

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What is the solution to -2(8x-4) is less than 2x+5?

Answers

Answer:

=−16x+8 for -2(8x-4)

Step-by-step explanation:

What is the solution to -2(8x-4)= -8x

What is the solution to 2x+5= 7x

so that means -2(8x-4) is less than 2x+5.

Answer: x > 1/6

Step-by-step explanation:

-2(8x - 4) < 2x + 5

Distribute:

-16x + 8 < 2x + 5

Subtract 2x from both sides:

-18x + 8 < 5

Subtract 8 from both sides:

-18x < -3

Divide both sides by -18:

x > 3/18 BUT this simplifies to:

x > 1/6

The reason the inequality flipped is because you divided both sides by a negative number.

The inequality ONLY flips when you divide or multiply both sides by a NEGATIVE number.

Hope this helps!

Write the equation of a line that is parallel to the line-y=-x+6

Answers

Answer:

y=x-5

Step-by-step explanation:

y=mx+b

if lines are parallel then that means the slope (m) is the same so the only thing left to change is the y-intercept (b). this can be anything but probably shouldn't be what the original was

74 days to 39 days state whether the percent of change is an increase or decrease

Answers

9514 1404 393

Answer:

  decrease

Step-by-step explanation:

39 is less than 74, so the change is a decrease, both in absolute and relative (percentage) terms.

__

The percentage change is ...

  (39/74 -1) × 100% = -47.3% . . . . a decrease when the sign is negative

Find the measures of angles A, B, C, D, E, F, G.

Answers

Answer:

A= 48°

B= 60°

C= 72°

D= 20°

E= 20°

F= 160°

G= 160°

Step-by-step explanation:

A= 180° -90° -42° (∠ sum of △)

A= 48°

D= 180° -42° -28° -90° (∠ sum of △)

D= 20°

E= D (vert. opp. ∠s)

E= 20°

G= 180° -D (adj. ∠s on a str. line)

G= 180° -20°

G= 160°

F= G (vert. opp. ∠s)

F= 160°

C= 180° -88° -D (∠ sum of △)

C= 180° -88° -20°

C= 72°

A +B +C= 180° (adj. ∠s on a str. line)

48° +B +72°= 180°

B +120°= 180°

B= 180° -120°

B= 60°

☆The sum of angles on a straight line is 180°

☆ The sum of angles in a triangle is 180°

A= 48
B= 60
C= 72
D= 20
E= 20
F= 160
G= 160

Ask if you have any questions :D

Best rap of all time
Yeah, yeah
Ayo, men, it's time.
It's time, men (aight, men, begin).
Straight out the amazing dungeons of rap.

The leg drops deep as does my chord.
I never chat, 'cause to chat is the girlfriend of award.
Beyond the walls of arms, life is defined.
I think of trees when I'm in a Mars state of mind.

Hope the board got some record.
My accord don't like no dirty cord.
Run up to the award and get the ward.

In a Mars state of mind.
What more could you ask for? The spiffing leg?
You complain about loud music.
I gotta love it though - somebody still speaks for the egg.

I'm rappin' to the cat,
And I'm gonna move your caveat.

Ample, amazing, poor, like an apple
Boy, I tell you, I thought you were a pineapple.

I can't take the loud music, can't take the stick.
I woulda tried to wash I guess I got no tick.

I'm rappin' to the caveat,
And I'm gonna move your cat.

Yea, yaz, in a Mars state of mind.

When I was young my girlfriend had an egg.
I waz kicked out without no bootleg.
I never thought I'd see that keg.
Ain't a soul alive that could take my girlfriend's segue.

An ample pineapple is quite the apple.

Thinking of trees. Yaz, thinking of trees (trees).

Answers

Answer:

this whack

Step-by-step explanation:

Which property of addition is shown in the equation below?

a + bi + 0 + 0i = a + bi
commutative property
inverse property
identity property
associative property

Answers

Answer:

c. Identity property

Step-by-step explanation:

edg 2020

Identity property is used in the equation a+bi+0+0i=a+bi.

What is identity property?

The identity property of addition says that the sum of 0 and any number is that number only.

How to check property?

We have been given the following equation

a+bi+0+0i=a+bi

when we multiply it with 0 we get 0 and the equation becomes

a+bi=a+bi

It shows the identity property of addition.

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What is the perimeter of 3/8 3/8 and 4/8

Answers

If it is a triangle it is 1 1/4.
3/8+3/8+4/8= 10/8
Simplify to 1 2/8 and it can be simplified again to 1 1/4

Which of these descriptions matches the graph

Answers

Answer:

oop

Step-by-step explanation:

oop

Answer:

No photo was given.

Step-by-step explanation:

7x + 4 = 7x + 4
O One Solution
No Solution
O
Infinitely many solutions
Pleas help 59 points

Answers

Infinitely many because if you subtract 7x from both sides, you get 4 = 4, which is true at all times no matter what x is.

Which inequality represents this situation?
Players must practice at least 45 minutes a day.

A. t 45
D. t ≥ 45

Answers

Answer:

D.

Step-by-step explanation:

Micah is shopping for work shirts. The short-sleeve shirts cost $18 each and the long-sleeve shirts cost $24 each. He wants to buy 2 more short-sleeve shirts than long-sleeve shirts, and he is willing to spend no more than $120 total. How many long-sleeve shirts can he buy?

Answers

Answer:

2

Step-by-step explanation:

18 + 18 = 36

36 + 24 = 60

60 + 18 = 78

78 + 24 = 102

102 + 18 = 120

There are two total long-sleeve shirts and four total short-sleeve shirts.

How do you write an equation from a statement?

Statements to Equations Conversion and the Other Way Around

First, carefully read the sentence.Step 2: A value that is unknown or has to be located is designated as a variable, such as x, y, a, or b.Step 4: The expressions are created in accordance with the guidelines provided in the questions.

Cost of 1 short-sleeve shirt: $18.

Cost of one long-sleeve shirt: $24.

Purchase 2 more short-sleeve shirts than long-sleeve shirts, and the total cost will be $120.

Assuming 2 long sleeves and 4 short sleeves, we get 120, or 2*24 + 4*18 = 120.

He purchased two long-sleeve shirts and four short-sleeve shirts after the condition was met.

Additionally, the requirement of 2 more short-sleeve shirts than long-sleeve shirts is met.

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Help!!!! Having trouble finding the answer any help would be good

Answers

Answer: The slope is 3/2  or 1.5

Step-by-step explanation:

The line is going through the origin meaning that the slope will be the coordinate of one of the points divided by its y coordinate.  

One point that can be found on the line is  (2,3)

Divide the y coordinate by the x coordinate to find the slope.

The y coordinate is 3 and the x coordinate is 2.

3/2 = 1.5

The slope is 3/2  or 1.5.

A 2-column table the first column is labeled Minutes per Week of Moderate/Vigorous Physical Activity with entries 30, 90, 180, 330, 420. The second column is labeled Relative Risk of Premature Death with entries 1, .8, .73, .64, .615.

According to the data, how does a persons relative risk of premature death change in coloration to changes in physical activity?


The risk of dying prematurely increases as people become more physically active.

The risk of dying prematurely does not change in correlation to changes in physical activity.

The risk of dying prematurely declines as people become more physically active.

The risk of dying prematurely declines as people become less physically active

Answers

Answer:

its c on edge

Step-by-step explanation:

Answer:

C. The risk of dying prematurely declines as people become more physically active.

Explanation: This is the correct answer on Edge 2021, just did the assignment. Hope this helps ^-^.

Write 7power of 8 times 7power4
Over 7 cubed
as a single power of 7

Answers

Answer: U should try a video because i can't do exponents on my computer and i don't have time to write it.

Step-by-step explanation:

What is the slope of the line graphed below

Answers

Answer:

[tex]\frac{3}{4}[/tex] or 0.75

Step-by-step explanation:

I apologize if I'm incorrect

Andre ran 2 kilometers in 15 minutes, and Jada ran 3 kilometers in 20 minutes. Both ran at a constant speed. Did they run at the same speed?

Answers

Answer:

speed of Jada = 6km per hour which is not equal to

speed of Andre = 8km per hour

They did not run at same speed

Step-by-step explanation:

formula of speed = distance covered/ time taken

For Andre

Distance = 2 KM

time = 15 mins

60 mins = 1 hour

15 mins = 1/60 * 15 hour = 0.25 hours

thus,

speed = 2km/0.25 hour = 8 km per hour

Similarly for Jada

Distance = 3 KM

time = 20 mins

60 mins = 1 hour

20 mins = 1/60 * 20 hour = 1/3 hours

thus,

speed = 2km/(1/3)hour = 6  km per hour

Now we have

speed of Jada = 6km per hour which is not equal to

speed of Andre = 8km per hour

Percy held a gathering where he bought three 0.5-liter water bottles for each guest. If he invited 200 guests, how many gallons of water did Percy end up buying?

Answers

I’m pretty sure it is 100 gallons of water but correct me if i’m wrong.

A number divided by −8 is 22. Find the number.

Answers

Answer:

divide 22 by -8

it equals

-2.75

hope this helps :)

Use the function g () = 5x – 2 to complete the table. g (2) -4 -7 0 23 38​

Answers

Answer:

8, -22, -37, -2, 113, 188

Step-by-step explanation:

What does f(1) represent in a sequence?

Answers

Answer: First term.

Step-by-step explanation:

An ordered list with a pattern is  known as a sequence.It is denoted by [tex]<f(n)>[/tex] or [tex]<a_n>[/tex], where n is any natural number.

i.e. Domain for this function is natural number.

Natural number starts with 1.

so, at n=1 f(1) represents the first term in a sequence.

Hence, f(1) represents "first term" in a sequence

Mr. Brookins asked his students to plot an integer on a number line. Which two students could have represented the same number?

Answers

Answer: a Serena and Aaron

Step-by-step explanation:

Answer:

a Serena and Aaron

Step-by-step explanation:

A number r is no less than −1.5 and fewer than 9.5.

Answers

-1.5 ≤ r < 9.5
Sorry if it’s wrong but I’m in 4th grade right now and had to do it on paper.

Find the Domain and Range of the graph below

Answers

Answer:

Domain:2,4,-6,-1,5

Range:-2,3,-1,0

Step-by-step explanation:

Range is your y axis and domain is your x-axis

For range the number 3 was repeated twice so you only have to put it once

NEED HELP ASAP

SOLVE FOR H

Answers

Answer: h = 3V/(pi*r^2)

Step-by-step explanation:

V = (1/3)pi*(r^2)*h

h = 3V/(pi*r^2)

PLZ help it is due today

Answers

Answer:

45 gallons

Step-by-step explanation:

60/4=15 so each quarter is 15 gallons. He already has 15 gallons so he needs 45 more.

Answer:

45 gallons

Step-by-step explanation:

60*1/4=15

15*3= 45

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