Ame:_________________________ Period:________________________ Group:________________________ Provide a reason for each step in solving the equation shown below. 2x - 2 - 3x - 6 = 8 - 4x Original Equation 2x - 2 - 3x - 6 = 8 - 4x -1x - 8 = 8 - 4x -1x + 4x - 8 = 8 - 4x + 4x 3x - 8 = 8 3x - 8 + 8 = 8 + 8 3x = 16/3 x=5 1/3

Answers

Answer 1

Answer:

x = 5 1/3

Step-by-step explanation:

Given the equation

2x - 2 - 3x - 6 = 8 - 4x

We need to get the value of x.

Given

2x - 2 - 3x - 6 = 8 - 4x

Step 1: Collect the like terms

(2x-3x)-2-6 = 8-4x

-x-8 = 8-4x

Step 2: Add 4x to both sides of the equation:

-x-8 + 4x= 8-4x+4x

-x+4x -8 = 8

3x-8 = 8

Step 3: Add 8 to both sides of the equation:

3x-8+8 = 8+8

3x+0 = 16

3x = 16

Step 4: Divide both sides by 3

3x/3 = 16/3

x = 16/3

Step 5: convert the resulting improper fraction to mixed fraction:

x = 5 1/3


Related Questions

Ms. Lee went and got a haircut for $35.00, and the tax was 7%. She also left a 30% gratuity for the hairdresser.
3a. What was the total amount Ms. Lee spent for the haircut?

Answers

Answer:

  $48.685 or $48.69

Step-by-step explanation:

Bill = 35 * 1.07 = 37.45

Tip: 37.45 * .30 = 11.235

Total: 37.45 + 11.235 = $48.685 or $48.69

Use the following functions to simplify the expressions. f(x)=3x−1 and g(x)=5−x f(−4)= For what value of x does g(x)=−4?

Answers

x=24

Lopum no deu sins se ca louiamoenqi

Write in simplest form -4+9/-6

Answers

Answer:

The answer is -58

Which one?
A. B. C. or D? ​

Answers

Answer:b

Step-by-step explanation:

[tex]\sqrt8a-5-\sqrt6a+8=0[/tex]

Answers

this would be a false solution

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

You would start by writing it out again then simplifying.

[tex]\sqrt{8}a-5-\sqrt{6}a+8=0\\.378937a+3=0[/tex]

Now let's subtract  3 from both sides...

[tex].378937a=-3[/tex]

Now we'll divide the sides by .378937....

[tex]a=-7.916883[/tex]

So a equals -7.916883

Write the equation of the line passing through (-5, -11) and (-2, 1) in slope-intercept form

Answers

Answer:

y=4x + 9

Step-by-step explanation:

(-5, -11) (-2, 1)  

y2 -y1 = 1 - -11 =   12

x2 -x1 = -2 - -5  = 3

12/ 3 Simplify = 4   your slope is 4/1  

2 12 oz. bag of chips for $3.40
or
a 3 oz. bag for $0.75

Answers

Answer:

what is the question?

Step-by-step explanation:

you have to explain the question first

Find the sum and product of zeroes of the quadratic polynomial 2x2-7x+5 and verify the
results.

Answers

Solution :

• 2x²-7x +5 =0

=> 2x²-5x-2x+5 = 0

=> x ( 2x-5)-1(2x-5)=0

=> (x-1)(2x-5) = 0

• x-1=0

=> x= 1

• 2x-5=0

=> x = 5/2.

Now , Verification :

Here , a= 2 ,b= -7 and c = 5

As we know that :

• Sum of zeroes = -b/a

• 5/2+1 = -(-7)/2

• 7/2 = 7/2

LHS = RHS.

• Product of zeroes = c/a

=> 1(5/2)= 5/2

=> 5/2 = 5/2.

LHS = RHS ..

Hence, verified .

I hope it will help you.

Regards.

what is the answer to this question?

Answers

Answer:

It is 3

Step-by-step explanation:

13/20=.65

.65= 65%

The answer you are looking for is 2.

7/10 = 70%

Isabelle has a five-sided chicken coop in her yard. Each side has an equal length. What is the total perimeter of the chicken coop if the length of one side is yards? Recall that the perimeter is the sum of all sides of a shape or boundary.

Answers

Answer:

P = 175 yards

Step-by-step explanation:

Isabelle has a five-sided chicken coop in her yard. The length of each side is equal.

Let the length of one side is 35 yards.

We need to find the total perimeter of the chicken coop.

Perimeter = sum of all sides of a shape or boundary

P = 35+35+35+35+35

P = 5(35)

P = 175 yards

So, the perimeter of the chicken coop is 175 yards.

Answer:

It is 15 then weird symbol thing, then five or B

Step-by-step explanation:

im losttt


1.4g = 4.2 , solve the equation for g.

a. g=5.2
b. g=3
c. g=2.1
d. g=4

Answers

Answer:

g=3

Step-by-step explanation:

all you had to do was divide both sides by 1.4

Translate the point D(2, -4) 7 units to the left and 2 units down. What are the coordinates of the new point? Write your answer as an ordered pair (x, y). *

Answers

Answer:

(-5, -6)

Step-by-step explanation:

Solve this by doing x- and y- separately.

For the x-axis:

Let right be the positive direction, so x = 2 -7

x = -5

For the y-axis:

Let up be the positive direction, so x = -4 -2

x = -6

Hope that helps!

Write the equation in slope-intercept form of a line that passes through the point (-6, -12) and is perpendicular to y=-2x+5.y=−2x+5.

Answers

Answer:

Step-by-step explanation:

The standard form of equation of a line in slope-intercept form is expressed as:

y =mx+c

m is the slopw

c is intercept

Get the slope of the known line

since y = -2x+5

slope m = -2

Get the slope of unknown line

Since the unknown line is perpendicular to tis line, then

Mm = -1

M = -1/m

M = -1/-2

m = 1/2

Get the intercept of the unknown line:

Substitute the point (-6,12) and m = 1/2 into the equation y = mx+c

12 = 1/2(-6) + c

-12 = -3 + c

c = -12+3

c = -9

Get the equation of the unknown line:

Substitute m = 1/2 and c = -9 into the equation y = mx+c

y = 1/2x -9

2y = x - 18

2y-x = -18

Hence the equation in slope-intercept form of a line that passes through the point (-6, -12) and is perpendicular to y=-2x+5 is 2y-x = 18

Write a terminating decimal and its equivalent fraction.

Answers

Answer:

0.125 = 1/8

Please mark me Brainliest; I need it to move onto the next level. =D

What is the real part of the difference?

What is the imaginary part of the difference?

Answers

Answer:

real part: 4

imaginary part: -10i

Step-by-step explanation:

Edge2020

Answer:

Real part is 4

Imaginary part is -10

Step-by-step explanation:

Those are the answers on edge

i can get some help please

Answers

Answer:

120°

Step-by-step explanation:

3x-105+2x+10=180

collect like terms

5x-95=180

5x=275

x=55

angle 8 is equal to angle 6 because vertically opposite angles are equal

angle 6 =(2x+10) = 120

therefore angle 8 =120 degrees

What is the slope of the line that runs through the two points?
(-20,-4) (-12, -10)

Answers

Answer:

Slope = -6/8

Step-by-step explanation:

(-20, -4)

(-12, -10)

Slope = (Y2 - Y1)/(X2 - X1)

Plug in the x and Y coordinates:

-10 - (-4)/-12 - (-20)

-10 + 4/-12 + 20

-6/8

Slope = -6/8

Please let me know if I'm incorrect :)

(4.3×10^2)×(4.0×10^-3

Answers

Answer:

1.72

Step-by-step explanation:

1.72 is the answer to this

Jack works after school. Each day he is paid a set amount, plus an hourly wage.

Hours 1 1.5 2 2.5 3
Pay 18 23 28 33 38

Which is a reasonable domain for the function f(x) = 10x + 8?
A. 0 < x < 6
B. 0 < x < 24
C. 0 < x < 68
D. 0 < x < 248

Answers

Answer:

The correct option is;

A. 0 < x < 6

Step-by-step explanation:

The given data indicates how much Jack is paid on hourly wage is presented here as follows;

Hours        [tex]{}[/tex]     Pay

1        [tex]{}[/tex]                 18

1.5        [tex]{}[/tex]             23

2        [tex]{}[/tex]                28

2.5        [tex]{}[/tex]             33

3        [tex]{}[/tex]                 38

Given that the domain is the number of hours worked by Jack after school, and that he receives a set amount at all values of the number of hours worked, a reasonable domain is from 0, at which the pay is 8, to 6 which is less than the normal 8 hours a day job, as he works part time.

Therefore, the correct option is;

A. 0 < x < 6.

i need help with the graph question please help if you can :)

Answers

Answer:

y = 3/2x - 2

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

Can somebody Help ? Me please .

Answers

Answer:

B

Step-by-step explanation:

The Associative Property means no matter where the parenthesis are placed, the numbers and the answer is still the same. For example: 5+(7+8) is the same as (5+7)+8 because it has the same answer and the result isn't changed from where the parenthesis are. :) Hope this helps!

~Happy Halloween!~

Answer: B

Step-by-step explanation:

According to the associative property of addition, the sum of three or more numbers remains the same regardless of how the numbers are grouped, and B no matter how the numbers are grouped it'll give the same answer.

what is the slope of this line?
enter as a fraction in simplest form.

Answers

Answer:

1/4

Step-by-step explanation:

Points are (0, 6) and (-4,5).

[tex]\frac{6-5}{0-(-4)}=\frac{1}{4}[/tex]

NEED ASAP

For a sewing project, Tanya cut isosceles triangles from a striped piece of material where the stripes are parallel. The vertex angle of the isosceles triangle is 50° and overline BC is parallel to the base.




What is the measure of BCE as shown in the diagram? Show your work and
explain your reasoning.

Answers

Answer:

∠BCE is 115°

Step-by-step explanation:

The given parameters are;

The shape Tanya cut from the striped piece = Isosceles triangles

The measure of the vertex angle of the isosceles triangle = 50°

The segment [tex]\overline {BC}[/tex] is parallel to the base [tex]\overline {FG}[/tex]

Therefore, we have;

∠GAF + ∠AGF + ∠AFG = 180°; Sum of the interior angles of a triangle

∴ ∠AGF + ∠AFG =  180° - ∠GAF =  180° - 50° = 130°

∠AGF = ∠AFG;  Base angles of an isosceles triangle

∴ ∠AGF + ∠AFG = ∠AGF + ∠AGF = 2 × ∠AGF = 130°

∠AGF = 130°/2 = 65°

∠AGF = 65°

∠AGF ≅ ∠ACB, corresponding angles of two parallel lines, [tex]\overline {BC}[/tex] and [tex]\overline {FG}[/tex] cut by a transversal [tex]\overline {AG}[/tex]

∠AGF = ∠ACB = 65°, definition of congruency

∠ACB + ∠BCE = 180° Sum of angles on a (straight) line

∠BCE = 180° - ∠ACB =  180° - 65° = 115°

∠BCE = 115°

A group of friends were working on a student film that had a budget of $700. They used $469 of their budget on props. What percentage of their total budget did they spend on props?

Answers

Answer:

its 67 percent ur welcome

Step-by-step explanation:

The supplementary angle of 77° is

Answers

Answer:

103°

Step-by-step explanation:

A supplementary angle is when two angles add up to be 180°. So, we can subtract to find its suplement.

180 - 77 = 103

Best of Luck!

PLS HELP! I WILL REWARD AND GIVE BRAINLIEST!!

Answers

the answer is c because in fractions you either have to divide or multiply if they have parenthesis

How is the integer 1,995 expressed as a rational number?

Answers

Answer:

thats a tricky one

Step-by-step explanation:

2
what is the value of x? *
63
30
X
Enter your answer

Answers

the problem is split up and doesn’t make much sense so it is hard for me to tell the answer. but if the problem is 63=30x the answer is 2.1

Victoria spent one-fourth of her birthday
money on clothes. She received another
$25 a week later. If she has a total of $70
now, how much did she have before she
went shopping?

Answers

The answer is 60 dollars

stephen had 24 miniature cars he gave 4 cars to his brother then he passed the rest of the cars out equally among 4 friends which operation would you use to represent the first part of this situation?

Answers

Answer:

5

Step-by-step explanation:

24- 4= 20/ 4 = 5

Answer:

5

Step-by-step explanation:

24 - 4 = 20

20 divided by 4 = 5

Hope this helps☺️

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