1/2 ( x - 4 ) = 1/3 ( x + 2)

pls help me

Answers

Answer 1

Answer:

x=16

Step-by-step explanation:

1/2 ( x - 4 ) = 1/3 ( x + 2)

distribute both sides

1 /2 (x−4)= 1/ 3 (x+2)

( 1 /2 )(x) + ( 1/ 2 )(−4) =( 1 /3 ) (x)+( 1/3 )(2)(Distribute)

1 /2 x+−2= 1 /3 x+ 2 /3

1 /2 x+−2= 1 /3 x+ 2 /3

Step 2: Subtract 1/3x from both sides.

1/2x -2 -1/3 x

x= 1 /3 x + 2/3  − 1/ 3 x

1 /6  x−2= 2/ 3

Step 3: Add 2 to both sides.

1 /6 x −2+2= 2/ 3  +2

1 /6 x = 8 /3

Step 4: Multiply both sides by 6.

6*( 1/6 x) =6*( 8 /3 )

x=16

Answer 2
First, apply the distribution property of multiplication.
1/2x - 2 = 1/3x + 2/3
Then, isolate x. To do this, subtract 1/2x on both sides and subtract 2/3 from both sides.
-2 - 2/3 = 1/3x - 1/2x
Make them the same denominator. The left side's denominator is 3 and the right side's denominator is 6.
-6/3 - 2/3 = 2/6x - 3/6x
Subtract.
-8/3 = -1/6x
Multiply both sides by -6 to get rid of the denominator on x.
-8/3 * -6 = -1/6x * -6
48/3 = x
16 = x
Your answer is 16.

Related Questions

A store has x number of shirts. Each shirt was sold for $16, but the last dozen was sold on sale for $14 each. When all shirts were sold, the store gained $616. Find the number of shirts sold at the regular price.

Answers

Answer:

28 shirts

Step-by-step explanation:

Let's see what we are given.

there are x amount of shirts ($616 total)

there are 12 in a dozen

the regular shirts are $16

the last 12 shirts are $14

Lets make an equation.

616= 14(12) + 16x

616=168+16x

448=16x

x=28

(Sorry if this explanation is bad)

ANSWER QUICKKKKK ILL GIVE U BRAINLEST IF U ALSO SHOW STEPS 20 points

Find the equation of the line that is:
Parallel to 2x – 4y = 8 and has the same y-intercept as 5x + y -10 = 0

Answers

Y = - 1 hope this helps

Answer:

y = 1/2 x + 10

Step-by-step explanation:

The equation should be in format

y = mx + b with m being the slope and b being the y-intercept.

The y-intercept of 5x + y - 10 = 0 is the same as the y-intercept of the unknown equation. The y-intercept of 5x + y - 10 = 0 is 10, so now our unknown equation is y = mx + 10.

Two parallel lines have the same slope but different y-intercepts, so we just need the slope of 2x - 4y = 8, which in the y = mx + b form, is y = 1/2 x - 2. Now, we just copy the slope of y = x/2 - 2 to the slope of the unknown equation, which results in y = 1/2 x + 10.

In conclusion, the unknown equation that is parallel to 2x - 4y = 8 and shares the same y-intercept as 5x + y - 10 = 0 is y = 1/2 x + 10

Which is the graph of the line represented by the ordered pairs in the table?

Answers

Answer:

bottem left

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

answer is upper right

what is f=483,323+947,6584-84784

Answers

Answer:

9,875,123

Step-by-step explanation:

Question: Tell whether each function is linear or non-linear.


Choices:

A. Function A is non-linear and Function B is non-linear.

B. Function A is linear and Function B is non-linear.

C. Function A is linear and Function B is linear.

D. Function A is non-linear and Function B is linear.

Answers

Just to avoid some confusion: the first picture is a graph of function A, and the second picture is a graph of function B.

Answer:

D. Function A is non-linear and Function B is linear.

Step-by-step explanation:

A good way to find out if a function is linear is by graphing it. If you graph it and it is a straight line, then it is linear.

So, let's graph the given points from the table of Function A and see if it forms a straight line. When you connect the dots, it's not straight, so Function A is non-linear.

Now let's look at function B. We can graph that too with the given information from the equation - the slope is -1 and the y-intercept is 5. (If you are a bit confused on how to graph it, don't hesitate to ask!) It does form a straight line, so Function B is linear.

The solution is Option D.

Function A is non-linear and Function B is linear.

What is Linear Equation in 2 variables?

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.

Given data ,

Let the first equation be A

Let the second equation be B

where

The function A is represented by y = x³

The function B is represented by y = -x + 5

Now ,

We can see that the linear equation A is of the form y = x³ , and this is a cubic relation and it is a non linear graph

The function B is a linear equation of the form y = mx + c , which is the linear equation for a line with slope -1

So , the function B y = -x + 5 is linear

Hence , the Function A is non-linear and Function B is linear.

To learn more about linear equation in 2 variables click :

https://brainly.com/question/11897796

#SPJ6

What are the gradients (slopes) and y-intercepts of these lines, please?​

Answers

Answer:

a. gradient 4

b. gradient 3

c. gradient 1

d. gradient 1

e. gradient -2

f. gradient 3

Step-by-step explanation:

to find y intercept substitute x to be 0

i.e y=3x

y=0

What is 15 / 79. SHow your work

Answers

15/79 is already in simplest form. So, as a decimal it would be 0.215189873. It is hard to do long division on here so I won’t be able to show works

Answer:

slender man has come to eat your soul

Step-by-step explanation:

Good Morning! Can I get some help here? ​

Answers

Answer:

n = 3

Step-by-step explanation:

[tex]3^{5}[/tex] x [tex]3^{n}[/tex] = [tex]3^{8}[/tex]

5 + n = 8

n = 3

[tex]3^{5}[/tex] x [tex]3^{3}[/tex] = [tex]3^{8}[/tex]

An employee earns a gross pay of $1,200.00 per week. The employee's net pay is $850.00. The employee's voluntary 401(k) contribution is $50.00 per month.

Answers

Answer:

$300 was deducted from tax. The tax rate is 26.1%

Step-by-step explanation:

An employee earns a gross pay of $1,200.00 per week. The employee’s net pay is $850.00. The employee’s voluntary 401(k) contribution is $50.00 per month.

There was blank deducted for taxes. The tax rate is blank

Solution:

Contributions that are made for retirement such as 401(k) contribution plans are made on a pretax basis. This means that they are removed from your taxable income, thereby reducing the tax.

Gross pay = $1200

Taxable income = Gross pay -  401(k) contribution

Taxable income = $1200 - $50 = $1150

Net pay = $850

Tax = Taxable income - Net pay

Tax = $1150 - $850

Tax = $300

Tax rate = (Tax / taxable income) * 100%

Tax rate = ($300 / $1150) * 100% = 26.1%

Estimate a 15% tip on a dinner bill of $31.53 by first rounding the bill amount to the nearest ten dollars.

Answers

Answer:

Should be around 4.5

Step-by-step explanation:

If you round 31.53 to the nearest ten dollars, you get 30, 15 percent of 30 is 4.5

4.73 if it’s one person & if it’s for 2 people then 2.36 per person

Please help me thank you!!!

Answers

Answer:

1,-1,-3,3 that is your answer

You go ahead and substitute x for the x values given.
If x=1 , then y =1
If x=0, then y=-1.
If x=-1, then y=-3.
If x=-2, then y=-5.

let me know if the question is incomplete! ill add it in the comments just in case.
question: if 0

Answers

It’s incomplete all it says is “if 0”

450 is 75% of what number?

Answers

the answer is 600!!!!!

Answer:

600

Step-by-step explanation: 75 percent of 600 equals 450.

what’s the answer to (7−4n)⋅6

Answers

42 - 24n
I think and I hope this helps
simplified it would be 28n*6

there were 252 people at the concert . If 90% of the seats were filled, how many seats are in the auditorium?

Answers

Answer:

280 seats total

Step-by-step explanation:

90/100 = 252/x

To find x, cross multiply.

90x = 25,200

Divide both sides by 90 to get the variable alone.

x = 280 seats

Consider the situation where 12 people at a picnic want to select an activity for the afternoon. Which activity would win a plurality election

Answers

Answer is soccer because it has more numbers in the picture

question in picture ​

Answers

Answer:

A and B

Step-by-step explanation:

becuase that's the answer

Find the value of x and then find m∠H. PLEASE HELP

Answers

Answer:

Here,

6x - 1 + 5x + 17 = 126

or,11x + 16 =126

or, 11x = 110

Therefore,x=10

the value of angle h is=6x-1

=6×10-1

=59#

A sporting goods store bought a ski set at a cost of ​$432. ​Later, the ski set was marked down 10​% from its selling price and then marked down another 20​%. The total markdown is the greatest possible markdown without the store losing money. Find the original selling price.

Answers

Answer:

The original selling price of the ski set is $600

Step-by-step explanation:

The cost price of the ski set = $432

The first percentage mark down of the ski set = 10% from its selling price

The first percentage mark down of the ski set = 20% from its selling price

Let x represent the original selling price of the ski set at the sporting goods store, we are given;

80/100 × (90/100 × x) = The cost price of the ski set

Therefore, we have;

80/100 × (90/100 × x) = 432

0.72 × x = 432

x = 432/0.72 = 600

Therefore, the original selling price of the ski set, x = $600


⅜ of the animals at the zoo equals to 600. 40% of all the animals at the
zoo were fed. How many animals were still to be fed?

Answers

Answer:

960

Step-by-step explanation:

3/8*total number of animals = 600

total number of animals = 8/3 * 600 = 1600

number of animals fed = 40/100 * 1600 = 640

animals still to be fed = 1600 - 640 = 960

3. The price of a pair of shoes is $64.00 plus 9% sales tax. What is the sales tax on this pair of shoes in dollars and cents? A. $5.76 B. $57.60 $69.716) D. $78.00​

Answers

Step-by-step explanation:

To figure out this answer, you need to figure out how much 9% is in $64.00

  ?              9

-------   =   --------  

 64           100

Now to solve this you have to multiply diagonally and divide the neighbor

(let me explain)

basically in this case, you would multiply 64 and 9, then divide by 100

64 * 9 = 576

576 / 100 = $5.76

In short: your answer is 'A' $5.76

Hope this helps <3

Will give brainlist if correct! Thanks if you do help!

Answers

Answer:

D is the answer

Step-by-step explanation:

The correct answer is D because when you look at the graph, we can see that we have a reflection over the x axis, so angle F will be congruent to C and angle D is congruent to angle E

jaun is saving money to buy a leather basketball cost 40.00.He already has $12 and will save 3.50 per week until he has enough money to buy the baseketball

Answers

Answer; it will take him 8 weeks to get 40$ and buy his basket ball
Explanation;
40 = 12 + (3.5)x
28 = (3.5)x
x = 8 weeks

Enter the equation of the line in slope-intercept form. Enter the answer in fraction form.

The line perpendicular to y =
6
5
x + 2 that passes through (6, −2).

The equation of the line that passes through (6, −2) is y = .

Answers

Answer:

11/2??????

Step-by-step explanation:

help me please with this the picture is below

Answers

Answer:

6

Step-by-step explanation:

Can someone please help this is due soon and I don’t know how to do it I’ll give brainlest

Answers

Answer:

the explanation contains numbered sticky notes please follow them in order and i  do encourage you to follow along somewhere.

merry christmas :)

x = 67,

y = 124

Convert y=x^2-4x-2 to vertex form

Answers

Hopefully this can help you

Use what you know about triangles and angle relationships to determine the value of x and y in this isosceles triangle.

(Note: use whole numbers only, do not type the degree
symbol or the word)

Answers

Answer:

x = 13

y = 7

Step-by-step explanation:

✔️Recall that sum of the interior angles of a ∆ = 180°

Therefore:

(3x - 3) + (4x + 20) + (7x - 19) = 180° (sum of ∆)

Solve for x

3x - 3 + 4x + 20 + 7x - 19 = 180

14x - 2 = 180

Add 2 to both sides

14x = 182

Divide both sides by 14

✅x = 13

✔️Recall also that an isosceles has two equal sides, therefore:

8y - 7 = 5x - 16

Plug in the value of x

8y - 7 = 5(13) - 16

8y - 7 = 65 - 16

8y - 7 = 49

Add 7 to both sides

8y = 56

Divide both sides by 8

✍️y = 7

Ramon earns $1,610 each month and pays $53.40 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?

Answers

Answer:

yes 24

Step-by-step explanation:

The new Play Station 5 is price at 500$. For Christmas, it is priced at 420$. What is the percent change?

Answers

16% difference!! Hope it helps
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