Solve for x.
1/3 x+4=-2/3 x+12

Answers

Answer 1

Answer:

x = 8

Step-by-step explanation:

1. Group all x terms on the left side of the equation

1/3· x+4=-2/3·x+12

Add  2/3x to both sides:

1/3x+4+2/3·x=-2/3x+12+2/3·x

Group like terms:

1/3·x+2/3·x+4=-2/3·x+12+2/3·x

Combine the fractions:

1+2/3·x+4=-2/3·x+12+2/3·x

Combine the numerators:

3/3·x+4=-2/3·x+12+2/3·x

Find the greatest common factor of the numerator and denominator:

1·3/1·3·x+4=-2/3·x+12+2/3·x

Factor out and cancel the greatest common factor:

1x+4=-2/3·x+12+2/3·x

Simplify the left side:

x+4=-2/3·x+12+2/3·x

Group like terms:

x+4=-2/3·x+2/3·x+12

Combine the fractions:

x+4=-2+2/3·x+12

Combine the numerators:

x+4=0/3·x+12

Reduce the zero numerator:

x+4=0x+12

Simplify the arithmetic:

x+4=12

2. Group all constants on the right side of the equation

Subtract 4 from both sides:

x+4-4=12-4

Simplify the arithmetic:

x=12-4

Simplify the arithmetic:

x=8

Answer 2

Answer:

x=8

Step-by-step explanation:

1/3x +4= -2/3 +12

Subtract 4 from both sides: 1/3x + 4-4 = -2/3x + 12 -4

Simplify: 1/3x = 2/3x + 8

Add 2/3x to both sides: 1/3x + 2/3x = -2/3x + 8 + 2/3x

Simplify: x=8


Related Questions

The dimensions of a rectangular prism are shown below: Length 2 1/4 ft | width 1 ft | height 1 1/4 ft.

The lenghts of the sides of a small cube are 1/4 ft each.

Part A: how many small cubes can be packed in the rectangular prism? Show your work. (5 Points)
Part B: Use the asnwer obtained in part A to find the volume of the rectangular prism in terms of the small cube and a unit cube. (5 Points)​

Answers

Answer:

See below

Step-by-step explanation:

Dimensions given:

l = 2 1/4 ft, w = 1 ft, h = 1 1/4 ft

A small cube has side of 1/4 ft

Find the number of small cubes can fit in each dimension of the prism.

Length

2 1/4 : 1/4 = 9/4 * 4 = 9

Width

1 : 1/4 = 1 *4 = 4

Height

1 1/4 : 1/4 = 5/4 * 4 = 5

Part A

Number of small cubes would be:

9*4*5 = 180

Part B

Each small cube has volume:

V = (1/4)³ = 1/64 ft³

The volume of the prism in terms of small cubes is 180 as we found above.

The volume in terms of unit cube:

V = 180*1/64 = 180/64 = 2 52/64 = 2 13/16 ft³ or 2.8125 ft³

Help asap please!! Full work gets brainliest!!

Answers

Answer:

7,15,20

Step-by-step explanation:

Triangle side rule : The sum of the two shorter sides must be greater than the length of the largest side.

7 , 15 and 20

7 + 15 must be greater than 20 in order for 7,15 and 20 to be sides of a triangle

7 + 15 = 22

22 > 20 is true so this might be the answer but lets check the other answer choices just in case.

( we do this same process to the other answer choices )

11 , 22 and 35

11 + 22 must be greater than 35 in order for these to be side lengths of a triangle

11 + 22 = 33

33 is not greater than 35 therefore these sides lengths can not represent sides of a triangle

7, 16 and 23

7 + 16 must be greater than 23

7 + 16 = 23

23 > 23 , this is not true so this can't be the answer.

5 + 17 must be greater than 22

5 + 17 = 22

22 > 22 this is not true so this can't be the answer.

The answer is 7,15,20

A runing track is 400m long. Carrie runs wight laps. How far is this in kilometres.

Answers

Multiply length of track by number of times run:

8 x 400 = 3,200 meters

1 km = 1000 meters

3200 meters / 1000 = 3.2 kilometers

Answer: 3.2 kilometers

Solve the following equations

1. 83x= 1/256
2. 243 3-p= 3 p -3

Answers

Here are ur answer.......

The Heads Up Salon charges a stylist $50 a day to rent a station at the salon. Jenny, one of the stylists, makes $25.50 for each haircut. Write an equation that could be used to determine how many haircuts, h, Jenny must give in one day to make $154 after paying rent for her station.

Answers

Answer:

50h+25.5=154

Step-by-step explanation:

A man has 13 of a kilogram of chocolate. He shares it equally amongst 4 people. How many kilograms does each person get? Input your answer as a fraction of a kilogram.

Answers

Answer:

3.25

Step-by-step explanation:

13÷4=3.25

Everyone gets 3.25 kg of chocolate

Answer:

3 1/4 kilograms

Step-by-step explanation:

13 ÷ 4 = 3.25 = 3 1/4

4/3=8/x-1
Solve the equations

Answers

Answer:

= 24/7

Step-by-step explanation:

1. Find common denominator

2. Combine fractions with common denominator

3. Re-order terms so constants are on the left

$2,000 loan at 8% for 5 years.

Answers

Answer:

$2,800 = Principle + Interest

Step-by-step explanation:

Using PRT/100, let's find the interest.

=> 2,000 x 8 x 5/100=> 20 x 8 x 5=> $800

Conclusion:

Therefore, the interest plus principle is 2,000 + 800, which is $2,800.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Yeahhh what they said ^^^^

8 to the 9th power over 8 to the 7th power simplified?

Answers

Answer:

64

Step-by-step explanation:

8^9/8^7

Subtract the 9 and 7 which equals 2

Which is 8^2

8^2 is 64

Thus the answer is 64

Hope this helps!

need help dont want to fail

Answers

Answer:

I think the correct answer is D since the arrows go infinite ways. Let me know if im right. :)

Step-by-step explanation:

Describe the following change as both an absolute change in terms of Percentage Points, and as a relative change in terms of a percentage.

The annual interest rate for Jack's savings account increased from 2.3% to 2.8%.

Answers

Answer:

0.5%

Step-by-step explanation:

which one? A, B, C or D?​

Answers

Step-by-step explanation:

you can't find that out ?

either simplify the expressions and then insert the values for x, or simply insert the values for x and see.

6 - 5x < 27 + 5x < x + 35

6 < 27 + 10x < 6x + 35

-21 < 10x < 6x + 8

it is then

-21 < 10x

-2.1 < x

and

10x < 6x + 8

4x < 8

x < 2

-2.1 < x < 2

therefore, B is the right answer.

-2, -1, 0, 1

-3 would be too small, and 2 is blocked by the right "<" sign.

Jax is proving that the base angles of an isosceles triangle are congruent. He joins a line from
the vertex point to the midpoint of the base, as shown.
Which statement is true?
A) Since AKLM is congruent to AKNM using SSS congruency, m_KLM = m_KNM.
B) Since AKLM is congruent to ANKM using SSS congruency, m_KLM = m_KNM.
C) Since AKLM is congruent to AKMN using SAS congruency, m_KLM = m_KMN.
D) Since AKLM is congruent to ANKM using SAS congruency, m_KLM = m_KNM.

Answers

Answer: there you go

Step-by-step explanation:

A sale of wedding gowns is marked at £168, which includes a reduction of 25%. What was the pre-sale price?

ASAP NOW!

Answers

The pre-sale price of the wedding gown is £224.

A reduction decreases the price of an item. As a result of the reduction, the wedding gown would be sold cheaper. The wedding gown would cost  pay 75%(100 - 25%) of the pre-sale price.

This equation can be used to determine the pre-sale price of the wedding gown:  discounted price / 75%

£168  / 0.75 = $224

To learn more about how to determine the price of an item, please check: brainly.com/question/25717996

Jessica's piggy bank has a total of $13.25 in dollar bills and quarters. If there are a total of 29 dollar
bills and quarters. Find out how many dollar bills and how many quarters are in the piggy bank.

Answers

Answer: $8 21 quarters

Step-by-step explanation:

20 quarters is $5 plus another is $5.25

8 dollars is $8 plus the $5.25 = $13.25

Have a nice day, and if you could be so kind as to give me a brainliest

Please help me (It's for a really important grade)

Answers

Answer:

4/5

Step-by-step explanation:

Sin = Opposite / Hypotenuse

Note that hypotenuse = longest side

We want to find sinФ

The opposite side length of angle "Ф" has a length of 8 and the longest side or hypotenuse has a length of 10

So sinФ would equal 8/10 which can be simplified to 4/5

Which ordered pair is a solution to the system of inequalities?

{y > -2
{x + y ≤ 4

A. (1,3)
B. (0, -4)
C. (-2,-3)
D. (1,5)

Answers

A (1,3) is a solution to the system of inequalities

A is the correct answer

Lorraine is picking blackberries in her backyard at a rate of 15 berries per minute. After 16 minutes of picking, there are still 137 blackberries left to pick. Write an equation that models how many berries are left (y) after x minutes of picking. Write your answer as using numbers, letters, and symbols - do not use spaces.

Answers

137 - 16X = Y

Since Lorraine is picking blackberries in her backyard at a rate of 15 berries per minute, and after 16 minutes of picking, there are still 137 blackberries left to pick, to determine an equation that models how many berries are left (y) after x minutes of picking, the following calculation must be performed:

137 - 16X = Y

Thus, for example, after 5 minutes the calculation would be as follows:

137 - 16 x 5 = Y 137 - 80 = Y 57 = Y

Learn more about maths in https://brainly.com/question/25989509

What is the slope of the line shown below?
2
03
O 1/3

Answers

Answer:

1/3

Step-by-step explanation:

the y increases by 3 in the line while at the same time x is increased by 1. x/y for slope, so itd be 1/3

Which of the following is a government retirement program that offers a tax incentive?
A. Roth IRA
B. Opt- out program
C. A 529 plan
D. Contribution matching

Answers

the correct answer is B!

What is the correct answer?

Answers

Answer:

The first one:

Equation n+(n+1) +(n+2)=36

3n+3=36

the numbers are 11, 12,13

Step-by-step explanation:

So if you plug ll for n you get 36

So if you plug 12 in for in u get 39

Then in you plug 13 in for n u get 41

I hoped that helped

Answer: First option

The numbers are 11, 12, 13

11+12+13 = 36

===============================

Explanation:

Here's one way to solve for n

n+(n+1)+(n+2) = 36

3n+3 = 36

3n = 36-3

3n = 33

n = 33/3

n = 11

That leads to n+1 = 11+1 = 12 and n+2 = 11+2 = 13

So the three numbers are 11,12,13

11+12+13 = 23+13 = 36 which confirms the answer

-------------

For the second option, it's not clear how the student got n = 15. If I had to guess, they probably divided both sides by 3, then added 3 to both sides.

As a quick check, 15+16+17 = 31+17 = 48 which doesn't match up with the 36.

Or you could note that the units digits add to 5+6+7 = 11+7 = 18. That 8 doesn't match with the 6 in 36. So this is an even quicker way to rule out the second option.

Pls help brainiest to the correct answer!

Answers

Answer:

a) 9, b) 87, c) - 2, d) - 9

Step-by-step explanation:

a) - 2 * (- 4.5) = 9b) (- 8.7) * (- 10) = 87c) (- 7) * (-2) = 14d) (- 9) * (- 10) = 90

#a

[tex]\\ \sf{:}\dashrightarrow -2(-4.5)=9.0[/tex]

#b

[tex]\\ \sf{:}\dashrightarrow (-8.7)(-10)=8.7[/tex]

#c

[tex]\\ \sf{:}\dashrightarrow (-7)(-2)=14[/tex]

#d

[tex]\\ \sf{:}\dashrightarrow (-9)(-10)=90[/tex]

What is the surface area? 10 mm
7 mm
4 mm

Answers

Answer:

Perhaps 270 mm^2, if it is a box.

Step-by-step explanation:

What shape is this?  A box?

If a box:

There are 6 faces:

1.   2 ends:  7mm x 4mm  = 28 mm^2/end

2.  2 sides:  10mm x 7mm  = 70 mm^2/side

3.   top and bottom:  10mm x 4 mm = 40 mm^2/each

====

Totals:

1.    56 mm^2

2.  140 mm^2

3.   80 mm^2

Total  270 mm^2

Find the vertical asymptote(s) of f of x equals quantity x squared plus 3x plus 6 end quantity over quantity x squared minus 4.

Answers

Answer:

  x = -2, x = 2

Step-by-step explanation:

The denominator factors as ...

  x^2 -4 = (x -2)(x +2)

The numerator has no factors that cancel either of these, so the function will have vertical asymptotes where the denominator is zero: at x = -2 and x = 2.

Consider the reaction. Upper n subscript 2 (g) plus 3 upper H subscript 2 (g) double-headed arrow 2 upper N upper H subscript 3 (g). At equilibrium, the concentrations of the different species are as follows. [NH3] = 0. 105 M [N2] = 1. 1 M [H2] = 1. 50 M What is the equilibrium constant for the reaction at this temperature? 0. 0030 0. 030 34 340.

Answers

The equilibrium constant of the reaction is 0.0030.

The equation of the reaction is given as;

N2(g) + 3H2(g) ⇆ 2NH3 (g)

We have the following information at equilibrium;

[NH3] = 0.105 M

[N2] = 1.1 M

[H2] = 1.50 M

Hence, we can calculate the equilibrium constant using the relation;

K = [NH3]^2/ [N2]  [H2]^3

Substituting values;

K = [0.105]^2/[ 1.1] [1.50]^3

K =0.011025 /3.7125

K= 0.0030

Learn more: https://brainly.com/question/17960050

HELP!!!!!!!!!!!!!!!!!!!

Answers

Answer:

4) a₁₅ = 128

5) B. [tex]a_n=a_{n-1}+6[/tex]

Step-by-step explanation:

4)

This is an arithmetic sequence, where all terms have a common difference:

[tex]a_n=a_1+(n-1)d[/tex]

Here, the common difference is 9.

[tex]11-2=9\\20-11=9[/tex]

Use that to write the equation and solve for a₁₅:

[tex]a_n=2+(n-1)9\\\\a_{15}=2+(15-1)9\\a_{15}=2+(14)9\\a_{15}=2+126\\a_{15}=128[/tex]

5)

This is also an arithmetic sequence, but it is a recursive arithmetic sequence in the form of:

[tex]a_n=a_{n-1}+d[/tex]

This simply states that each term is d more than the term before it.

Here, the common difference is 6:

[tex]2--4=6\\8-2=6\\14-8=6[/tex]

And the equation for this is B. [tex]a_n=a_{n-1}+6[/tex]

find the equation to this line.​

Answers

y=4x-3
Hope this helps!
Answer: y = - x + 3
Ok done. Thank to me :>

Convert the binary number 10101 to its base 10 equivalent.

12
21
22
31

Answers

10101₂ = 1×2⁴ + 0×2³ + 1×2² + 0×2¹ + 1×2⁰

10101₂ = 16 + 0 + 4 + 0 + 1

10101₂ = 21

Here see below

[tex]\\ \sf\Rrightarrow (10101)_2[/tex]

[tex]\\ \sf\Rrightarrow 1\times 2^0+0\times 2^1+1\times 2^2+0\times 2^3+1\times 2^4[/tex]

[tex]\\ \sf\Rrightarrow 1+4+16[/tex]

[tex]\\ \sf\Rrightarrow (21)_{10}[/tex]

The sum of six times a number and six more than the number is the same as the difference between -30 and twice the number what is the number

Answers

Answer:

-4

Step-by-step explanation:

let the number be x

6x+(x+6)=-30-2x

7x+6=-30-2x

9x=-36

x=-4

An admission ticket costs $7.50 with a 5.75% tax.

Answers

Answer:

Step-by-step explanation:

I’m not 100% sure that it’s the correct answer but this is what my calculator gave me
Other Questions
why was the scientific method so valuable to scientist during this time era pomis)Which of the following sentences contains a comma error? (5 points)We left early for the airport, but a terrible accident delayed us,OBefore the game started the team, warmed up to energizing musicAfter being infected with a virus, the computer hard drive crashed.OoOur tiny canoe was overwhelmed by the sudden, intense storm. Woodbury Middle School has 270 girls and Valley Middle School has 206 girls. Which school hasa greater percentage of girls? Determine the percentage for each school. Bianca calculated the height of the equilateral triangle with side lengths of 10.tangent (30) = StartFraction 5 Over h EndFraction An equilateral triangle with side lengths of 10 is shown. A bisector is drawn to split the side into 2 equal parts and splits the angle into 2 30 degree segments.Then, she used the formula for area of a triangle to approximate its area, as shown below.A = one-half b h. = one-half (10) (8.7). = 43.5 units squared.Calculate the area of the equilateral triangle using the formula for area of a regular polygon, and compare it to Biancas answer.The apothem, rounded to the nearest tenth, is units.The perimeter of the equilateral triangle is units.Therefore, the area of the equilateral triangle is , or approximately 43.5 units2.The calculated areas are . what disorder seems to hold an association with bipolar disorder? Question No. 1 Marks = = 5 +5 +2 = 12 The driver of a 2.0 103 kg red car traveling on the highway at 45m/s slams on his brakes to avoid striking a second yellow car in front of him, which had come to rest because of blocking ahead as shown in above Fig. After the brakes are applied, a constant friction force of 7.5 103 N acts on the car. Ignore air resistance.(a) Determine the least distance should the brakes be applied to avoid a collision with the other vehicle? (b) If the distance between the vehicles is initially only 40.0 m, at what speed would the collision occur?(c) Write your conclusive observations on the result obtained from this numerical. i.e. the importance of Physics in daily life.Question No. 2 Marks = 8Consider an automobile moving at v mph that skids d feet after its brakes lock. Calculate how far it would skid if it was moving at 2v and the brakes were locked. Research* (The Great Gatsby) Select the correct texts in the passage.Which two details are most important to include in a summary of the excerpt?excerpt from Around the World in Eighty Days The power ratings of several motors are listed in the table. A 2 column table with 3 rows. The first column is labeled motor with entries, brand X, brand Y, brand Z. The second column is labeled Power in watts with entries 7460, 7650, 7580. An advertising agency writes marketing material for a new motor (Brand W) that has a power rating of 7,640 W. Which statement comparing the motors can they truthfully use? Brand W motor can finish any job faster than Brand Y motor can. Theres not a more powerful motor available. Brand W motor does more work each second than Brand X or Brand Z. Every second, Brand W motor does 7,640 N of your toughest work. Which of the following groups attempted insurgency against the newly independent Philippine government? Christians Hindus Muslims Buddhists. Each mobile bags sold by Ravis marble company contains 4 purple marbles for every 7 orange marbles if the bag is 56 orange marbles how many purple marbles does it contain Which of these is nearest in meaning to the word presume as it is used in the passage above. HELPME IM IN MATH AND NEED HELPP If you could participate in an archaeological investigation, what part of the investigation do you think would be most interesting or enjoyable? Why? i need help with this question that is on my homework, is it ok if someone helps me please. thanks to anyone who helps! :) What happens in the war of 1812 in the south? The great white fleet pictured above illustrates which foreign policy of the united states. Write T if the statement is true and F if it is false2. Viewing does not help in developing the learners' knowledge and skills in Please help again forgot everything Again PLEASE HELP ! write an introduction to the essay that establishes and introduces a clear claim that supports keeping art and music classes in public school.