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

Determine whether the following pairs of lines are parallel, perpendicular, or neither. y=1/3x+4 3x+y=2​

Answers

Answer:

parallel

Step-by-step explanation:

Answer:

The lines are perpendicular

Step-by-step explanation:

Y=1/3x+4

Y=-3x+2

The negative reciprocal of -3 is 1/3

an auto dealership got a new shipment of 33 cars. Of these, two are red , 6-cylinder 4 door sedans; one is a red 4-door, but not a 6-cylinder sedan. There are four 6-cylinder 4-door sedans that are not red, and three red 6-cylinder sedans that are not 4-door sedans. Altogether, 19 of the 33 cars are 6-cylinder sedans and 12 of the 33 are 4-door sedans. How many of the 33 cars are red but neither 6-cylinder nor 4-door sedans?

Answers

Answer:

2

Step-by-step explanation:

If you take 19 6-cylinder sedans and add 12 4-door sedans you get 31, therefore making 2 red and neither 6-cylinder nor 4-door sedans. Hope this helps!

One-third of a number b times -2 is less than or equal to -11/6

Answers

Answer:

Step-by-step explanation:

Ignore the 0,0 at the top of the paper but that should be the equation.

Solve.
4 Joe solved (2x + 4) > 2(2x + 8) + 1 as shown at the
right. What error did Joe make? Solve the inequality.
(8)

Answers

Answer:

Step-by-step explanation: 2x+4+=

plssssssssssssssssssssssss​

Answers

Y = x^2 -3

y = (x-3)(x+3)

For x-intercepts, y = 0

Therefore (x-3)(x+3) = 0

x intercepts are (3,0) and (-3,0)

The line of symmetry is x = 3+(-3) = 0

Vertex is on the line of symmetry

When x = 0, y = -1

Vertex = (0,-1)

Answer:

The answer is equal to 0

Step-by-step explanation:

Explanation in the picture.

triplicate ratio of 2:1 is​

Answers

Answer:

8/27

Step-by-step explanation:

The triplicate ratio of 2:3 is 2^3/3^3 = 8/27

HAVE A GREAT DAY!

what are the zeros of the function of y=x^2-3x+2​

Answers

Answer:

1 and 2

Step-by-step explanation:

Zeros of the function is where the function intersect with x-axis (or in other way the zeros of function is x value when y = 0 )

y=x^2-3x+2​

(we substitute y with zero)

0 = x^2-3x+2​

or in other way

x^2-3x+2​ = 0

Then we factor out the function by using the grouping method

(When we should give two numbers that there sum is equal -3 and if we multiply them we get 2)

and these two numbers are -2 and -1

x^2-3x+2​ = 0

*Substitute the middle term with -x-2x

x^2-x-2x+2​ = 0

*factor out x , then factor out -2

x(x-1)-2(x-1) = 0

*factor out x-2

(x-2)(x-1)=0

Either

x-2 = 0

So

x = 2

Or

x-1 = 0

So

x = 1

in conclusion the zeros of this function is 1,2

Joe was in charge of lights for a dance. The red light blinks every two seconds, the yellow light every three seconds, and the blue light every five seconds. If we include the very beginning and very end of the dance, how many times during a seven minute dance will all the lights come on at the same time

Answers

Answer:

We consider:

T1 = 2s

T2 = 3s

T3 = 5s

We calculate the least common multiple of the Ts:

Ttot = 30 s.

During a seven minute dance the lights will come on at the same time:

7*60 s / 30 = 14 times.

In a span of 7 minutes, the lights will blink together 14 times.

What is LCM?

LCM of two or more than two given numbers is the smallest common multiple that is divisible by two or more than two given numbers.

Given, Joe was in charge of lights for a dance.

The red light blinks every two seconds, the yellow light every three seconds, and the blue light every five seconds.

LCM of 2, 3, and 5 is 30 so the lights blink together after every 30 seconds.

So, in 7 minutes or (7×60) = 420 seconds the lights will blink together

(420/30) = (42/3) = 14 times.

Learn more about LCM here :

https://brainly.com/question/20739723

#SPJ5

Use the figure below to determine the relationship between _DBE and BED​

Answers

Using the relationships between the sides of a triangle and their opposite angle the relationship between
Third option
The opposite angle to the side DE=5 is the The opposite angle to the side BD= 12 is the angle< BED
The side DE= 5

There are 40 slices of pizza at the party that are shared equally between 8 people. Peter ate 3 slices of pizza before he came to the party. How many slices of pizza did Peter eat in all?

Answers

Answer:

that depends if it's taken in consideration the pizzas that he ate were from the 40 slices or not

Answer:

he ate 5 slices

Step-by-step explanation:

40/8=5 you would thinks you are timeing the answer

Solve: 67 x 104. 67,000 6,700 670,000 6,700,000

Answers

Answer: 67 x 104 = 6968

Step-by-step explanation:

Answer:

7303

Step-by-step explanation:

I just calculated 67x109 and it gave me 7303

HOPE THAT HELPS YOU MARK ME BRINILYLIST

Noah drove 480km in 5 hours. About how far did he drive in 2 hours?

Answers

Answer:

192km

Step-by-step explanation:

480/5 = x/2

5x = 960

/5     /5

x = 192

Answer:

If Noah's driving was at a constant rate, he drove 192 km in 2 hours

Step-by-step explanation:

In order to find the answer to this question then we can set up two equations with x meaning the km/h he is going and y as our answer.

Noah drove 480km in 5 hours can be set up as:

480 = 5x

Dividing both side by 5:

x=96

and we want to find the number of km he drove in 2 hours:

y = 2 x

because we know x=96 from the first equation

y = 196 so, therefore, Noah drove 192 km in 2 hours

Given below, if Xy and are congruent, what is the measure of A. 140°
B. 280°
C. 100°
D. 80°
(it’s A. 140°)

Answers

Answer:

holi , cómo estás espero que bien bueno déjame te digo que está facil soy de México pero voy a clases de inglés y ya me la hicieron esa pregunta y es la D hojala te ayude mucho

Find the new amount given the original amount and the percent of change.
$7; 10% increase
The new amount is

Answers

Answer: €7.7

Step-by-step explanation: 7 x 110% = 7 x 1.1 = 7.7

solve similar triangles (advanced)

Answers

Answer:

Step-by-step explanation:

There are 2 similar triangles.

EDA and CBA

From that we can get the following proportion.

ED / CB = AD / AB

Filling in the letters we get

6/x = (4 + 3)/3            Combine

6/x = 7/3                    Cross Multiply

7x =6*3

7x = 18                        Divide by 7

x = 2.57

nth term of 5,8,13,20,29

Answers

The answer to the problem is 85 if you were looking for the ninth term, but I’m not for sure what you were looking for

Answer:

nth term = 4 + n^2

Step-by-step explanation:

Sorry if the answer is long but I'm hoping my explanation can help.

In order to understand the issue, we should try to find the pattern between the terms given.

The terms given were 5, 8, 13, 20 and 29.

Between the first term and second term, the difference is 3.

Between the second and third term, the difference is 5.

The pattern goes on and we find out that the difference between the (n-1)th term and the nth term is

2n - 1.

Hence, we can determine the pattern of the numbers is

nth term = (n-1) term + 2n - 1

We can use this to find term 0 (before term 1) by plugging in the values for term 1

5 = 0th term + 2 (1) - 1

5 = 0th term + 1

Hence the 0th term = 4

If we expand on the summation,

We can find the nth term

nth term = 4 + 2 (1) - 1 + 2(2) - 1 + ... + 2(n-1) - 1 + 2n - 1

As we can see, the number 1 has been subtracted n times (excluding the -1 in 2(n-1)). Hence, we can split combine all of the subtracted ones into -n.

We can rewrite it as

nth term = 4 + 2 (1) + 2(2) + ... + 2(n-1) + 2n - n

Now, we will move 4 and n to one side.

nth term = 4 - n + 2 (1) + 2(2) + ... + 2(n-1) + 2n

We can factorize 2 out from every term to the right of -n. This would give out

nth term = 4 - n + 2 (1 + 2 + ... + (n-1) + n)

The term (1 + 2 + ... + (n-1) + n) can actually be rewritten by using the triangular formula.

The triangular formula is stated such that

Tn = (n*(n+1))/2

This heavily simplifies the equation into

nth term = 4 - n + 2 [(n*(n+1))/2]

This equation becomes

nth term = 4 - n + n^2 + n.

Now, we can finally simplify into the final equation

nth term = 4 + n^2

Find the coordinates of the points D (4,-4) and E (5,-5) after the transformation (x,y) →
(x+ 3. y -5)

Answers

D = (7, -9)

E = (8, -10)

hope this helps!

-4.67 + (5.24 –
) – (
+ 7.98) = 13.26

Answers

Answer:

6

Step-by-step explanation:

i know the pythagorean theorem

Answers

Answer:

I know the pythagorean theorem

Step-by-step explanation:

ok

Please help it’s due in an hr

Which of these functions has a y-intercept that is
greater than that of the linear function
represented by the table of values below, and
why?
х
у
2
19
4
13
17
6
7
19
9
23
A. y = x + 9, because the y-intercept of the function
represented by the table of values is 2
B. y=x+9, because the y-intercept of the function
represented by the table of values is 5
C. y = 8x+1, because the y-intercept of the
function represented by the table of values is 2
D. y = 8x + 1, because the y-intercept of the
function represented by the table of values is 5

Answers

Answer: Choice B

y = x+9 because the y-intercept of the function represented by the table is 5.

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

Explanation:

Let's focus on the first two rows of the table. Plug those coordinates into the slope formula below.

m = (y2-y1)/(x2-x1)

m = (13-9)/(4-2)

m = 4/2

m = 2

The slope is 2.

Then we'll use something like (x,y) = (2,9) along with the slope we found to determine the y intercept b

y = mx+b

y = 2x+b

9 = 2*2+b

9 = 4+b

9-4 = b

5 = b

b = 5

The equation for the table is y = 2x+5

We can check this by seeing that x = 6 leads to y = 2*x+5 = 2*6+5 = 17. I'll let you check the other x values of the table.

Because y = 2x+5 has a y intercept of 5, we're going to aim for answer choice B. The y intercept of y = x+9 is 9 which is larger than what we just found.

How can you represent a proportinoal relationship with an equation

Answers

Answer:

Just be yourself

Step-by-step explanation:

math #lollololollollol

Answers

Answer:

the answer is 2

Step-by-step explanation:

Tamir bought 2 1/2 pounds of fish at $5.50 per pound, and two bananas at the price shown

Answers

Answer:

8.50

Step-by-step

Part A: Find the LCM of 7 and 8. Show your work. (3 points)

Part B: Find the GCF of 54 and 81. Show your work. (3 points)

Part C: Using the GCF you found in Part B, rewrite 54 + 81 as an expression of two factors. One factor is the GCF and the other is the sum of two numbers that do not have a common factor. Show and explain your work.

Answers

Answer:

Part A:

LCM of 7 and 8 is 56.

7*8 = 56

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

Part B:

GCF of 54 and 81 is 27.

54: 1, 2, 3, 6, 9, 18, 27, 54.

81: 1, 3, 9, 27, 81.

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

Part C:

GCF of 54 and 81 is 27.

54 / 27 = 2

81 / 27 = 3

Final expression: 27(2 + 3)

Answer:

Part A: 56

Work:

7: 7, 14, 21, 28, 35, 42, 49, 56

8: 8, 16, 24, 32, 40, 48, 56, 64

Part B: 27

Work:

54: 54, 27, 9, 3, 1

81: 81, 27, 9, 3, 1

Part C: 27(2+3)

Work:

27×2 = 54    

27×3 = 81

(27×2)+(27×3) = 54+81

(27×2)+(27×3)=27(2+3)

Explaining work:

First you find the numbers that multiply the GCF by to get the product (for 54 it is 2 and for 81 it is 3). Then you replace the the products with the equations (27×2) for 54 and (27×3) for 81 to get (27×2)+(27×3). Then simplify to get 27(2+3).

What is 1+1 equal? Explain in paragraph form! 5 or more sentences!

Answers

1 + 1 = 2. If you have 1 of something and you get another one then you have two.

I hope this helps give you a start

Mr. Jones spent $156 to attend a college football game.

- Twenty percent of this cost was for a parking pass.

- He spent the remainder of the money on two tickets for the game.

What was the price per ticket?

Answers

Answer: $62.40

Step-by-step explanation:

what is 20% of 156 ? 31.20

what is 156 - 31.2 ? 124.80

what is 124.8 / 2 ? 62.40

each ticket cost 62.40 dollars

Please answer 1 and 2
Will mark brainliest!!!!

Answers

Answer:

parallelnot perpendicular

Step-by-step explanation:

1) It appears that coordinates of points on line P are (-6, 6) and (-2, 8). The slope formula tells us the slope of line P is ...

  m = (y2 -y1)/(x2 -x1) = (8 -6)/(-2 -(-6)) = 2/4 = 1/2

Coordinates on line O appear to be (0, 6) and (4, 8). Its slope is ...

  m = (8 -6)/(4 -0) = 2/4 = 1/2

The slopes of lines P and O are the same, so the lines are parallel.

__

2) It appears that points on line M are (0, 6) and (2, 2). Its slope is ...

  m = (2 -6)/(2 -0) = -4/2 = -2

Points on line K appear to be (0, 4) and (10, 10). Its slope is ...

  m = (10 -4)/(10 -0) = 6/10 = 3/5

If lines M and K were perpendicular, the product of their slopes would be -1. Here, it is (-2)(3/5) = -6/5 ≠ -1. Lines M and K are not perpendicular.

As a car owner/lessee, it is not a requirement to have minimum coverage auto insurance.

T or F

Answers

Answer: False

Step-by-step explanation:

please help i need now

thank youu

Answers

Answer:

B

Step-by-step explanation:

if you cannot recognize the right equation, just start evaluating some points... try 5, 6, 4

Which table could be a partial set of values for a linear function?

Answers

Answer:

I think it might be the bottom right one but not sure

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