3x+4=7-2x
Solve this equation for x with steps

Answers

Answer 1
Simplifying
3x + 4 = 7 + -2x

Reorder the terms:
4 + 3x = 7 + -2x

Solving
4 + 3x = 7 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
4 + 3x + 2x = 7 + -2x + 2x

Combine like terms: 3x + 2x = 5x
4 + 5x = 7 + -2x + 2x

Combine like terms: -2x + 2x = 0
4 + 5x = 7 + 0
4 + 5x = 7

Add '-4' to each side of the equation.
4 + -4 + 5x = 7 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 7 + -4
5x = 7 + -4

Combine like terms: 7 + -4 = 3
5x = 3

Divide each side by '5'.
x = 0.6

Answer: x = 0.6

Related Questions

-10 , -6 , -2 , 2 , _____ this sequence in an A.P.? why?

Answers

The answer for this is negative 4

Hi guys, I need some help with this. Look at the screenshot below.

Answers

Answer:

20%

Step-by-step explanation:

54-45 = 9

9/45 = 0.2

0.2*100 = 20

Production increased 20%

As a person pedals the bike, what forces oppose motion? As the person goes faster, what happens to the amount of air resistance?

Answers

Answer: Friction

The force that opposes the motion is friction and air resistance plays a part in the opposing force to the motion. The faster you go the more amount of air resistance makes contact into you. An example is a motorcycle rider and you turn over and see their hair and clothes moving really fast.


Mark this brainliest if this helped!

Answer:

Step-by-step explanation:

Wind, friction and terrain (flat versus hilly) all oppose motion of the bike.  Air resistance increases as the bicyclist goes faster (there's none at 0 mph, a significant amount at 30 mph, a greater amount at 40 mph, and so on).

Given the system of equations, what is the x-coordinate of the solution?



y = 3 - x 1/2

3x + 4y = 1

-11
22
-17/2

Answers

Answer:

i think x = -11

Step-by-step explanation:

x = -11

y = -17/2

Answer:

x = -11

Step-by-step explanation:

Round 0.1 to the nearest whole number.

Answers

To round 0.1 to the nearest whole number consider the tenths’ value of 0.1, which is 1 and less than 5. Therefore, we have to round down: the whole number ones place value of 0.1, 0, remains 0, and the decimal point and all digits (.1) are removed.

0.1 rounded to the nearest whole number = 0

FACTORIZE AND Split the middle term: 72 + b - b^2​

Answers

Answer:

- (b - 9)(b + 8)

Step-by-step explanation:

72 + b - b² ← factor out - 1 from each term and rearrange into standard form

= - (b² - b - 72) ← factor the quadratic

Consider the factors of the constant term (- 72) which sum to give the coefficient of the b- term (- 1)

The factors are - 9 and + 8

Use these factors to split the b- term

b² - 9b + 8b - 72 ( factor the first/second and third/fourth terms )

b(b - 9) + 8(b - 9) ← factor out (b - 9) from each term

(b - 9)(b + 8)

Then

72 + b - b² = - (b - 9)(b + 8)

HELP ME PLEASE, I need help and don’t understand at all !

Answers

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NO LINKS!!!!! Plz

Round 0.864595 to the ten-thousandths place.

Answers

Answer:

  0.8646

Step-by-step explanation:

The digit in the hundred-thousandths place is 9, so is greater than 4. That means the digit in the ten-thousandths place is increased by 1 when the number is rounded.

  0.864595 rounds to 0.8646

Sketch the graph of each line

Answers

The standard equation of a line is y = mx+ b

where:

m is the slope of the lineb is the y-intercept of the line

The y-intercept is the point where the line cuts the y-axis

For the equation y = -2x -4

For the equation, the line will cut the y-intercept at y = -4 with a negative slope of -2.

For the equation y = -5/2x

For the equation, the line will cut the y-intercept at y = 0 with a negative slope of -5/2.

Find the graphs attached.

Learn more on graphs here: https://brainly.com/question/25020119

10. Find the range of possible values for the variable.

Answers

The range of possible values for the variable is x < 12

From the given figure, we can see that the side facing angle 30 degrees, is greater than the side facing angle 3x -6. Therefore the inequality expression is true based on the figure.

30 > 3x - 6

Swap sides

3x - 6 < 30

Add 6 to both sides

3x - 6 + 6 < 30 + 6

3x < 36

Divide both sides by 3

3x/3 < 36/3

x < 12

Hence the range of possible values for the variable is x < 12

Learn more on inequality expression here: https://brainly.com/question/24372553

24. What are the x and y intercepts of the following
equation: 4x – 3y = 24
A. X-intercept (6,0) and y-intercept (0,-8)
B. x-intercept (-8,0) and y-intercept (0,6)
C. x-intercept (4,0) and y-intercept (0,-3)
D. x-intercept (-3,0) and y-intercept (0,4)

Answers

Answer:

C

A. X-intercept (6,0) and y-intercept (0,-8) wrong

B. x-intercept (-8,0) and y-intercept (0,6)wrong

C. x-intercept (4,0) and y-intercept (0,-3) correct

D. x-intercept (-3,0) and y-intercept (0,4) wrong

Please find the equation for this ASAP

Answers

Answer:

y=-2x-3

Step-by-step explanation:

the slope is 2/1 going down and the y intercept is -3

A worker at a clothing store earns a 20% commission on a sale of $85.00. How much is the commission

Answers

Answer:

16$

Step-by-step explanation:

can you please help me find X in this problem it is so confusing

Answers

Answer:

  x = 25°

Step-by-step explanation:

There are different ways to get there.

1.

The unmarked angle at bottom left is an alternate interior angle with the one at the top marked 50°. So, it is congruent to 50°.

That makes the angles along the line at the bottom be ...

  50° +x° +105° = 180° . . . . . the measure of a linear angle

  x° = 180° -155° = 25°

__

2.

The unmarked angle at top right is a same-side interior angle relative to the one at bottom marked 105°. As such it is supplementary to 105°, and has measure ...

  180° -105° = 75°

This angle (upper right) is an exterior angle to the triangle. As such, it is equal to the sum of the two "remote" interior angles of the triangle—the ones marked 50° and x°.

  75° = 50° +x°

  25° = x° . . . . . . . subtract 50°

__

3.

The unmarked interior angle of the triangle is an alternate interior angle with the one marked 105°. So, it is congruent to 105°. The sum of the triangle interior angles is 180°, so you have ...

  x° +50° +105° = 180°

  x = 180° -155° = 25° . . . . as we had with our first approach

Which speed is the fastest? 4 miles in 1/3 hour 1/3 mile in 4 hours 1/2 mile in 3 hours

Answers

Answer: 4 miles in 1/3 hour

Step-by-step explanation:

please help i dont understand

Answers

Answer:

[tex] \frac{ {y}^{2} }{4 {x}^{5} } [/tex]

PLEASE HELP!! :( I will mark brainliest!

Answers

Answer:

14 give me that badge :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

14 faces

I need help plzzzzz!!!!!!!!

Answers

Answer:

100.73

Step-by-step explanation:

Area of Rectangle=140

Area of Semi-Circle=39.27

Area of Rectangle-Area of Semi-Cirlce=100.73

Find the midpoint of the segment with the following endpoints. (2, -9) and (-4,-4)​

Answers

Answer:

(-1,-6.5)

Step-by-step explanation:

midpoint formula: (x_m, y_m) = (x1+x2)/2),(y1+y2)/2)

(2-4)/2=-1, -9-4=-13/2=-6.5

=(-1,-6.5)

Mr. and Mrs. Ozawa are driving their family to a vacation spot 496 miles away. They want to get there in 8 hours. What is the average speed they need to drive?




Answers

The average speed Mr and Mrs Ozawa should drive is 62 miles per hour.

What is the difference between average and instantaneous speed?

The average speed is calculated for a period of time while instantaneous speed is calculated at certain instant of time.

For instantaneous speed and average speed are equal for an object moving with constant speed.

The total distance travelled is given as 496 miles.

And, the total time taken is 8 hours.

Average speed can be calculated by taking the ratio of total distance and time as follows,

Total distance ÷ Total time

⇒ 496 ÷ 8

⇒ 62

Hence, the average speed is given as 496 miles per hour.

To know more about speed click on,

https://brainly.com/question/28224010

#SPJ5

Anyone please solve and explain part b

Answers

Answer:

f(2) = -6

f inverse of 1/2 is 17/2

Step-by-step explanation:

We are given a function [tex]\displaystyle \large{f(x) = \frac{6}{2x-5}}[/tex]

To solve for part (a), we have to substitute x = 2 in f(x).

[tex]\displaystyle \large{f(2)=\frac{6}{2(2)-5} \\\displaystyle \large{f(2)=\frac{6}{4-5}=\frac{6}{-1}=-6[/tex]

Therefore, f(2) is -6.

Now we solve for part (b), we see the notation which is a minor different similar to f(x). We see that there is exponent of -1 between f and 1/2. The part (b) indicates that the function is an inverse of f(x).

[tex]\displaystyle \large{y=f^{-1}(x) \longrightarrow x=f(y)}[/tex]

To solve for part (b), first we solve for x in the function. Let f(x) = y.

[tex]\displaystyle \large{y=\frac{6}{2x-5}}[/tex]

Multiply both sides by 2x-5.

[tex]\displaystyle \large{y(2x-5)=\frac{6}{2x-5}(2x-5)}\\\displaystyle \large{y(2x-5)=6}[/tex]

Divide both sides by y-term.

[tex]\displaystyle \large{\frac{y(2x-5)}{y}=\frac{6}{y}}\\\displaystyle \large{2x-5=\frac{6}{y}}\\\displaystyle \large{2x=\frac{6}{y}+5}\\\displaystyle \large{x=\frac{6}{2y}+\frac{5}{2}}\\\displaystyle \large{x=\frac{3}{y}+\frac{5}{2}}[/tex]

Then swap x and y which we receive [tex]\displaystyle \large{y=\frac{3}{x}+\frac{5}{2}}[/tex]

Therefore, [tex]\displaystyle \large{f(x)=\frac{6}{2x-5} \longrightarrow f^{-1}(x)=\frac{3}{x}+\frac{5}{2}}[/tex]

Thus, [tex]\displaystyle \large{f^{-1}(\frac{1}{2})=\frac{3}{\frac{1}{2}}+\frac{5}{2}}\\\displaystyle \large{f^{-1}(\frac{1}{2})=6+\frac{5}{2}}\\\displaystyle \large{f^{-1}(\frac{1}{2})=\frac{17}{2}}[/tex]

____________________

Let me know if you have any questions in comment.

5. You purchase a bicycle with a retail (pre-tax) price of $760. The local sales tax rate is
7.6%. What is the final cost?

Answers

Answer:

Final cost is 817.76

Step-by-step explanation:

First find the amount of the tax

760 * 7.6%

760 * .076

75.76

Add this to the cost of the bike

760+57.76

817.76

Find the roots 3x^3-13x^2-26x-24

Thank you

Answers

Answer:

31781715561888155919761999

Match the name of the individual to a description of his
accomplishment.

___________oil production

___________steel
manufacturing

___________mechanized
production of clothing

___________expanded
industrialization to
continental Europe

A. William
Cockerill

B. Andrew
Carnegie

C. John D.
Rockefeller

D. Francis Cabot
Lowell

Answer:

Answers

Answer:

oil production: John d Rockefeller

steel manufacturing: Andrew Carnegie

Clothing: william cockerill

industrializatuon expansion: Frances Cabot Lowell

Step-by-step explanation:

y=−x−4
y=3/5x+4
How do i get the solution?

Answers

Answer:

by getting the solution

Step-by-step explanation:

9 children win $20 each. Then the same 9 children win $10 each. How much combined money did each child win

Answers

Answer:

$270 in all

Just multiply 9x20 and 9x10 and add them together

0.081 to simplest form

Answers

81/1000

hope this helps!

what equation has infinite solutions
4(x+2) = 9
4(x+2) = 4x + 8
4(x+2) = 4x + 2
4(x+2) = 12

Answers

Answer:

4(x+2) = 4x + 8

Step-by-step explanation:

because if they are multiplied out it would be 4x+8 = 4x + 8 which means it is infinite because both sides are equal

4(x+2)=4x+8

4x+8=4x+8
Both side is equal no matter what.

which statement is true?

Answers

Answer:

The slope of function A is less than the slope of function B

Explanation:

The slope for function B is 1/2, which is greaterthan 1/5, the slope of function A.

Answer:

the slope on Function A is less than Function B

Step-by-step explanation:

By doing rise over run we can get 1/2 on Function B and the Y intercept is 5 so the equation is y=1/2x+5

pls help on my maths question

Answers

Answer:

Somewhat illegible but looks like the equation should be:

S = u t + 1/2 a t^2

100 = 20 + 1/2 * a * 4    where t = 2

a* 4 = 160

a = 40

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