4 − (x + 2) < −3(x + 4)

Answers

Answer 1

Answer:

x<-7

Step-by-step explanation:

4 − (x + 2) < −3(x + 4)

4 − x - 2< −3x - 12

14 < - 2x

x<-7

Answer 2

Answer and Step-by-step explanation:

First, we need to solve both sides of the equation.

Distribute the negative to the x and the 2.

4 - x - 2 < -3(x + 4)

Distribute the -3 to the x and the 4.

4 - x - 2 < -3x - 12

Combine like terms.

2 - x < -3x - 12

Add 12 to both sides of the equation.

12 + 2 - x < -3x - 12 + 12

14 - x < -3x

Add x to both sides of the equation.

14 - x + x < -3x + x

14 < -2x

*Divide both sides of the equation by -2, and flip the sign.

-7 > x

-7 > x is the answer.

*How this works:

When we flip the sign, we really are just saving ourselves an extra step when dividing numbers (that are negative, only works when number is negative).

14 < -2x

If we were to add to x, and subtract 14, it will look like this:

2x < -14

Then when we divide by 2, we get:

x < -7

This is the same result, but it takes an extra step. Use this way if you forget why you need to flip the sign when dividing by a negative number.

#teamtrees #PAW (Plant And Water)

I hope this helps!


Related Questions

Cans someone help me with 6 and 7 please I am very confused on this two so I’ll appreciate it if u help me!

Answers

Answer:

6. $127.50

7. 275c

Step-by-step explanation:

Q6)

Kerry's workday is 10 hrs. and works 40 hrs. per week, Kerry works for 4 days

Watson's workday is 8 hrs. and works 40 hrs. per week, Watson works for 5 days

Kerry: works 4 days and gets paid $ 12.75 per cat & grooms 15 cats per day, so Kerry makes = 4(12.75 × 15) = 4(191.25) = $ 765

Watson: works 5 days and gets paid $ 12.75 per cat & grooms 10 cats per day, so Watson makes = 5(12.75 × 10) = 5(127.50) = $ 637.50

∴ The difference between their weekly earning is 765 - 637.50 = $ 127.50

Q7)

Given:

There are 'c' number of conferences rooms in the Texas Hotel

Number of foldable chairs in each room = 275

Solution:

So, the total number of chairs in all conference rooms would be c X 275

= 275c

The guy above is correct!

I have a question that says: Sound is used to measure ocean depth. Sound travels 1.5 km per second through water. If it takes 3.7 seconds for a sound to reach the bottom of the ocean, how deep is the water? It is not that I can't solve the problem, I don't know the problem is asking. The only thing I know is that it multiplication. Please help me.

Answers

Hey there!

All you need to do to answer this question is to do 3.7 x 1.5 = 5.55 km. I hope this helps you out. Have a good day :).

You will need to multiply 3.7 1.5, then there’s your answer hope this helped!

Help plz. Name the vector and write it in component form.

Answers

Answer:

J and X

Step-by-step explanation:

Vector means the dot of an angle or ray

A customer can drive around a track 60 times for $12. At this rate, how many times can the customer drive around the track for $8?

Answers

Answer:36 times for 8 dollars

Step-by-step explanation:

k so first you divide 54 and 12 =4.5 per dollar so you then multiply 4.5 and 8 to get the answer that =36 times for 8 dollars

i believe it’s 40. 60 divided by 12 is 5 (unit rate) 5 times 8 is 40

A rancher’s herd of 250 sheep grazes over a 40-acre pasture. He would like to find out how many sheep are grazing on each acre of the pasture at any given time, so he has some images of the pasture taken by the state department of agriculture’s aerial photography division. Here are three samples of the images.
How do the sample statistics compare to the population mean and standard deviation?

Answers

Answer:

6.25

Step-by-step explanation:

250/40=6.25

Ay Yuna Sorry Hayes ni tu

(PLEASE HELP!!) Write the standard form of the line that has a slope of - 3/4 and y-intercept of -2. Include your work in your final answer.

Answers

Answer:

3/4x+4=-2

Step-by-step explanation:

y=-3/4x-2

add -3/4x to each side

3/4x+4y=-2

multiply by 4

3x+4y=-8

the answer is 3x+4y=-8

Shannon is asked to draw a quadrilateral with the following specifications.

two opposite angles measure 51°
adjacent angles are supplementary
a side length of eight inches

Which of the following statements about this quadrilateral is true?
A. Exactly one quadrilateral exists with the given conditions, and it must be a parallelogram.

B. More than one quadrilateral exists with the given conditions, and all instances must be parallelograms.

C. Exactly one quadrilateral exists with the given conditions, and it must be a rhombus.

D. More than one quadrilateral exists with the given conditions, and all instances must be rhombuses.

Answers

Answer:

C. Exactly one quadrilateral exists with the given conditions, and it must be a rhombus.

Step-by-step explanation:

Rectangular

Has 4 sides that are the same length

Has 4 angles of 90 degrees

Has 4 axes of rotation and folding symmetry

꧁༺62ᴅᴏᴄ༻꧂

C.Exactly one quadrilateral exists with the given conditions and it must be a rhombus.

Find the number that makes the ratio equivalent to 1:5.
6:

Answers

Ratios are also fractions.

1:5 is the same as 1/5.

So, the question really is 1/5 = 6/what?

6/30 is the same as 1/5

So the missing number is 30.

Answer:

box = 30

Step-by-step explanation:

You could set this up very formally as a proportion. It would look like this.

1/5 = 6/x

Now all you have to do is cross multiiply.

1*x = 5 * 6

x = 30

So the answer that goes in the box is 30

Or you could just say to yourself. "The 1 was multiplied by 6. What do I have to multiply the 5 by to keep the ratio the same?"

The answer is 6

6 * 5 = 30

In higher math you are going to want to use the first method.

Is 3^2+3^3 equal to 3^5? Yes, expressions are
No are not
Explain:

Answers

Answer:

No & Are not

Step-by-step explanation:

(3^2)+(3^3) = (3x3)+(3x3x3) = 36

3^5 = 3x3x3x3x3 = 243

23, spice up ur life 6172 come get a fr

I WILL MARK AS BRAINLIEST! Solve for Y and X

Answers

Answer:

×=2

Step-by-step explanation:

7=×+9

×=9-7

×=2

as we were told tht the value of y=7 which means where the is y we subsitude 7

which will give us 7=×+9

The addition of 9 is positive and 7 is positive, then when jumping the equal sign it shall be negative therefore 9-7=2

Answer:

2)

a. x= -84

b. x= 9/4 or 2.25 in decimal form

c. x= 53/5 or 10.6 in decimal form

d. x= 31/2 or 15.5 in decimal form

3)

a. y= -10

b. y= -28

c. y= -114

d. y= 68

Step-by-step explanation:

2) substitute y as 7

a. y= x+91

7=x+91

7-91=x

-84=x

x= -84

——————

b. y= 4x-2

7=4x-2

7+2=4x

9=4x

9/4=x

x=9/4 or 2.25

————————

c. y= 5x-46

7= 5x-46

7+46=5x

53=5x

53/5=x

x=53/5 or 10.6

—————————

d. y= 6x-86

7= 6x-86

7+86=6x

93=6x

93/6=x

31/2=x

x= 31/2 or 15.5

—————————

3) substitute x as 13

a. y= -x+3

y= -13+3

y= -10

——————

b. y= -2x-2

y= -2(13)-2

y= -26-2

y=-28

——————

c. y= -3x-75

y= -3(13)-75

y= -36-75

y= -114

——————

d. y= 8x-36

y= 104-36

y= 68

hope that helped you. cymath can also help you

Mary bought 5 bracelets for $12.60. Danielle bought 7 bracelets for $15.75.
A. Who had the better buy for one bracelet?
B. By how much? (Hint find the unit rate for each)

Answers

Answer:

Mary

Step-by-step explanation:

Mary paid less for one bracelet. Tell me if I was wrong!

Danielle had a better deal for one bracelet because if you divide 15.75 by 7 it equals 2.25
But if you divide 12.60 divided by 5 it equals 2.52

What is the step by step explanation on how to solve 8 1/2 + 3 4/5? I already know the answer is 12.3 but I just need help on the how to do the work.

Answers

To do this, first add the whole numbers: 8 + 3 = 11. Set that aside for a moment.

To add the fractions, 1/2 + 4/5, you need a common denominator. With 2 and 5, you’d have an LCD of 10.

1/2 = 5/10

4/5 = 8/10

So 1/2 + 4/5 = 5/10 + 8/10 = 13/10

Now, 13 is bigger than 10, so 13/10 is the same as 1 and 3/10.

We’ll add that to the 11 we found back in the beginning and get 11 + 1 and 3/10 = 12 and 3/10 or 12.3.
Sndnndsnndnxn djjdjd jdjdjd

Please help me on this question

Answers

Answer:

125 10/14

Step-by-step explanation:

the 125 doesn't actually matter so you can ignore that part.

since it is being divided by 14, the denominator of the fraction is 14. the remainder is 10, so the answer should be in the form of x 10/14, which the 1st answer is

I think 125.10 is the anwser because I believe that was the answer when I took this test two hours ago

Find 22% of 150.

A. 3,300
B. 15
C. 7
D. 33

Answers

Question:- 22% of 150

Answer:-

[tex]22\% \: of \: 150[/tex]

In maths of means multiplication

[tex] \frac{22}{100} \times 150 \\ \frac{ \cancel{22}^{ \: \: \tiny{11}} }{ \cancel{100} {}^{\tiny{ \: \: 50}}} \times 150 \\ \frac{11}{ \cancel{50}^{ \: \: 1} } \times \cancel{150}^{ \: \: 3} \\ 11 \times 3 = 33[/tex]

Correct options is (D) 33

The value of 22 percentage of 150 is 33, option D is correct.

To find 22% of 150, we need to convert the percentage to a decimal and then multiply the result with 100.

Convert the percentage to a decimal.

To convert a percentage to a decimal, you divide it by 100.

In this case, 22% as a decimal:

= 22 ÷ 100

The result is 0.22.

= 0.22

Multiply the decimal by the number (150) you want to find the percentage of.

In this case, 0.22 (the decimal equivalent of 22%) multiplied by 150:

=150×0.22

=33

Therefore, the value of 22% of 150 is equal to 33. option D is correct.

To learn more on Percentage click:

https://brainly.com/question/24159063

#SPJ4

if needed i will show the other answers

Answers

Answer:

It will take 518 calorie smoothy that she had for breakfast in the morning.

It will take her 518 Calories to burn off a 480 calorie smoothie.

For each set of measurements, decide whether or not it is possible to draw a triangle with those measurements. If it is possible, draw the triangle.
a. Side lengths 2 cm, 3 cm, and 4 cm
b. Side lengths 2 cm, 3 cm, and 6 cm
c. Angles 90 degrees, 45 degrees, and 45 degrees
d. Angles 90 degrees , 60 degrees, and 60 degrees

Answers

Answer:

only A & C possible

Step-by-step explanation:

the sum total of the two smallest sides should be bigger than the third.

the sum total of the three interior angles should be 180 degree

The answer would be a and C

if it's 7:20 PM what time would it be if 90 minutes passed? HELP!!!

Answers

Answer:

The answer is 8:50 PM.

Step-by-step explanation:

If it's 7:20 PM, then what time is it 90 minutes from now?

Start with 30.  It would be 7:50 PM.  So, add 10 more minutes (with 50 minutes more to add) and you have 8:00 PM.  Add your last 50 minutes.  The time would be, as shown above, 8:50 PM.

The time would be 8:50

I WILL MARK AS BRAINLIEST! Simplify

Answers

Step-by-step explanation:

Absolute value is a number is the positive value of it.

[tex] | - 29 - 13| = | - 36| = 36[/tex]

[tex] |39 - 62| = | - 23| = 23[/tex]

[tex] | - 59 - 41| = | - 100| = 100[/tex]

[tex] | - 26 + 71| = |45| = 45[/tex]

A 36, b 23, c 100, d 25.

HELP ME PLEASE im gonna fail lol

Answers

7/20 = 0.35
-23/20 = 0.15
1/18 = 0.0556
-60/22 =
0.7273
(Are those negative signs for the 2 & 4 ones if not then the answers are 2.7273 & 1.15)
Haha lol I am on the same thing

pls help i need help

Answers

Answer:

your answer would be 7285.63

Having two periods means it has two groups of digits separated by a comma.

6 digits would be xxx,xxx

An 8 worth 80 means the 8 is in the tens place.

And you have a 2 in the hundreds place.

All other digits can be any number.

Answer: 543,280

se necesitan 4 trabajadores y 9 horas para pintar un cerco si el trabajo debe completarse en 6 horas Cuántos trabajadores se necesita para pintar el cerco

Answers

Answer:

english

Step-by-step explanation:

I don’t know I need points 6

Randall has 19 coins in his pocket. 12 are quarters, and the others are pennies. Randall selects two coins at random from his pocket replacing each coin before drawing the next coin. Which answer choice best describes this event?

A. This is an independent event because he is replacing the coin before drawing the next one.
B. This is a dependent event because he has different amounts of coins in his pocket.
C. This is an independent event because he could select a quarter and then a penny.
D. This is a dependent event because he could select a quarter and then a penny.

Answers

I think it’s D but I’m not sure.

Answer:

it might be C

Step-by-step explanation:

I'm just guessing

Please help me! I need part A and part B. Please help me! PLEASE!!

Answers

Answer:

JUST TO START I COMMENT ON THIS SORRY

Step-by-step explanation:

4366+766

5251551=8654

I WILL MARK AS BRAINLIEST! Graph each coordinate pair on the graph and then indicate which quadrant or axis the point lies on.

Answers

i believe this is right hope this helps
3rd quadrant (-4, -3) (-6 -5) (-1 -3)
4th quadrant (2 -4) (3 -6)
1st quadrant (5 0)
2nd quadrant (-3 1) (-2 3)

Find the number that makes the ratio equivalent to 6:10.
60:

Answers

Answer:

60;100

Step-by-step explanation:

Multiply 10 each side

find the exact coordinates of X on segment JK that is 1/3 the distance from j to k. J (-1,4) K(5,-3)​

Answers

Answer:

To find the point that's one-third of the distance from (–4,1) to the other endpoint, (8,7): Replace x1 with –4, x2 with 8, y1 with 1, y2 with 7, and k with 1/3. Subtract the values in the inner parentheses. Do the multiplication and then add the results to get the coordinates

Answer:

To find the point that's one-third of the distance from (–4,1) to the other endpoint, (8,7): Replace x1 with –4, x2 with 8, y1 with 1, y2 with 7, and k with 1/3. Subtract the values in the inner parentheses. Do the multiplication and then add the results to get the coordinatesStep-by-step explanation:

Help me help me lol please meh

Answers

Answer:

Owen is not smart

and yes D is correct also (5x10^5)

Step-by-step explanation:

Hehe :D

Yes the answer is d so you is correct

Which lines, if any, can you conclude are parallel given that m<1 + m<2= 8 ? Justify your conclusion with a theorem or postulate.

a. g || h, by the Converse of the Same-Side Interior Angles Theorem
b. g || h, by the Converse of the Alternate Interior Angles Theorem
c. j || k , by the Converse of the Alternate Interior Angles Theorem
d. j || k, by the Converse of the Same-Side Interior Angles Theorem

Answers

The is B. By the converse of the Alternate interior angles theorem

5 - (-4) write in addition

Answers

Answer:

--=+

Step-by-step explanation:

5-(-4)

5+4

9 is your answer

The answer is 9. There are many math apps u could use

A 100-meter sprint is a race using only the straight side of a race track. A 400-meter stick is a race that makes one complete a lap around a racetrack. Why are velocity and speed the same for a 100 m sprint but not a 400 m sprint

Answers

Answer

Because velocity and speed differ each other by direction, in a 100 m sprint race the person moves in a straight path without changing its direction where as in a 400 m race. The person moves in a lap around the race track and the direction changes as he turns according to the race track.

Step-by-step explanation:

<3

Because velocity and speed differ
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