Com oordon
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Consider the sequence of steps to solve the equation: 2(x – 4) + 6x = 9x – 10
Given = 2(x - 4) + 6x = 9x - 10
Step 1 = 2x - 8 + 6x = 9x - 10
Step 2 = 2x + 6x - 8 = 9x - 10
Step 3 = 8x - 8 = 9x - 10
Step 4 = 8x – 8x - 8 = 9x - 8x - 10
Step 5 = 0 - 8 = x - 10
Step 6 = -8 = x - 10
Step 7 = -8 + 10 = x - 10 + 10
Step 8 = 2 = x + 0
Step 9 = 2 = x
Which step in solving this equation is justified by the distributive property

Answers

Answer 1

Answer:

Step 1

Step-by-step explanation:

The problem distributed 2 into x and -4 which resulted in 2x - 8


Related Questions

Alexa has a points card for a movie theater. She receives 25 rewards points just for signing up. She earns 4.5 points for each visit to the movie theater. She needs 61 points for a free movie ticket. How many visits must Alexa make to earn a free movie ticket?

Answers

Answer:

8

Step-by-step explanation:

25+ (4.5 x 8)

25+ 36

=61.

She needs 8 visits

Answer:

8

Step-by-step explanation:

61 - 25 = 36

36 divided by 4.5 = 8

You can pack 6 cans in 1 box. Write a proportion to find the number of
cans you can pack in 12 boxes. Which choice sets up the proportion
correctly and has the correct solution?

Answers

Answer:

Step-by-step explanation:

You can fit 6 cans in a box. So now there are 12 boxes. Therefore you have to multiply 6 times 12 which should give you 72. You can fit 72 cans in 12 boxes total

Jenna lives 8 2/5 miles from work. Colby lives 3/4 of this distance from work. How far does Colby live from work?

Answers

Answer:

around 45 minutes

Step-by-step explanation:

it takes about 15 minutes to do 1 mile, do the correct math, it'll take about 45 minutes to do 3 miles

Last week, Naomi set a new personal record for running the mile. She beat her previous record by 14 seconds. The time change from her previous record can be represented by ________.
A. Zero
B. A negative rational number
C. A positive rational number

Answers

Answer:

negitive :)

Step-by-step explanation:

The price paid for
a $15 shirt after a
45% discount is
applied

Answers

Answer:

B

Step-by-step explanation:

Trust me

-8 + x - 4 + 9x
Need help

Answers

Answer:

Step-by-step explanation:

-8+x-4+9x = -8-4+x+9x

= -12+10x

PLEASE MARK BRAINLIEST.

What is the radius of this circle?​

Answers

Answer:

9in

Step-by-step explanation:

radius is half the diameter

18/2 is 9 so the radius is 9in

please help me I do not quit understand and for the best answer I will Mark brainliest

Answers

Answer:

The second to last option

Step-by-step explanation:

imagine that the diagram only shows part of each line, or edge. instead, they extend forever in both directions. imagining RQ extending to both sides lets you find other "extended" intersecting lines. in this case, QU and SR

here is an example in ascii art:

___________

|                         |

|___________|

Imagine that the separated lines are instead all sides of a rectangle. My ascii is limited.

Nothing here intersects

__|______________|__

   |                               |

__|______________|__

   |                               |

now you can see intersecting lines. so you can answer the question correctly.

write a story problem that can be represented with the following equation:
8x + 3 = 27

Answers

Answer:

Not sure if this works but here you go

Step-by-step explanation:

Junko spends 27 dollars on bananas the tax is 3 dollars and each banana is 8 dollars how many bananas did junko buy

Answer:

read below

Step-by-step explanation:

A pack of pens costs 8 dollars at the store. you decide to buy three packs of them the tax is three dollars. so your total is 27 dollars.

alternatively:

You have 27$ to spend on pens. you know the tax will be 3$, and that each pack of pens costs 8$. what is the maximum amount of packs of pens you can buy?

Is 4d + (15 + 3d) equivalent to (4d + 15) + 3d ?

Answers

Answer:

Yes it is

Step-by-step explanation:

4d + 3d = 7d so 7d + 15 would be the expression for both except it would only be 3d + 4d = 7d and 7d + 15 is the same as the first expression that I got from evaluating 4d + (15 + 3d).

Answer:[tex]\boxed{\boxed{\sf{Yes,~7d+15=7d+15}}}[/tex]Solution Steps:

______________________________

1.) Solve [tex]\bold{4d+(15+3d)}[/tex]:Combine 4d and 3d: [tex]=7d+15[/tex]2.) Solve [tex]\bold{(4d+15)+3d}[/tex]:Combine 4d and 3d: [tex]=7d+15[/tex]

3.) Compare:[tex]7d+15=7d+15[/tex]

So your answer [tex]\bold{7d+15=7d+15}[/tex].

______________________________

A water tank holds 254.34 m cm3 of water. If
the diameter of the tank is 6 meters, calculate
the height

Answers

Answer:

Height, h = 9 m

Step-by-step explanation:

Given that,

The volume of a water tank, V = 254.34 m³

The diameter of the tank, d = 6 m

We need to find the height of the clinder. The volume of a cylinder is given by :

[tex]V=\pi r^2h\\\\h=\dfrac{V}{\pi r^2}\\\\h=\dfrac{254.34}{3.14\times (3)^2}\\\\h=9\ m[/tex]

So, the height of the cylinder is 9 m.

MAY YOU PLEASE HELP ME

Answers

Answer: y=20x+10

Step-by-step explanation:mark me brainlest please

Which of the following is a central angle?
A
LEGD
B
LEAD
ZCOB
D
LCDA

Answers

The answer to this question is B

PLEASE HELP I AM BAD A MATH

Answers

Answer:

Well what can i help you with?

Step-by-step explanation:

PLZZ HURRY!!
The histogram shows the scores of students on their most recent history test. How many students scored 80% or better on the test?

A. 8 students
B. 10 students
C. 18 students
D. 22 students

Answers

Answer: 18

Step-by-step explanation:

add the the ones above 80% and higher

What dimensions of the box are required to fit the candle? 5 cm by 6 cm by 18 cm 7 cm by 6 cm by 18 cm 5 cm by 3 cm by 18 cm 7 cm by 3 cm by 18 cm

Answers

Answer:

7cm.by6cm sana makatulong

Answer:

The correct answer would be...

B. 7 cm by 6 cm by 18 cm

Step-by-step explanation:

19 POINTS AND BRAINLIST

Answers

Answer:

The surface area is 339.5 [tex]in^{2}[/tex]

Step-by-step explanation:

The surface area of a 3-dimensional shape is calculated by adding the areas of each side together, which would be 24.5 + 52.5 + 52.5 + 105 + 105 = 339.5 inches squared.

can you let me know asap

Answers

Answer:

Y + 2

Step-by-step explanation:

Answer:

f(n)=0*2

Step-by-step explanation:

f(n) could be f(x), but f(n) makes more sense.

i hope this help, i'm learning this in school still :)

converting slope-intercept form into standard form, i’m so confused

Answers

Answer:

7x+2y=(-6)

Step-by-step explanation:

I forgot to post the actual question LOL my points :')

SIMPLIFY the expression, don't solve it! Explain too please!

Answers

Answer:

[tex]3.8^{12}[/tex]

Step-by-step explanation:

4 x 3 is 12 your not suppose to add lol

ask me if u want more I am highschool graduate and trying to be proffessor after college

2(3x – 1) = 6x – 2 number of solutions

Answers

Answer: All real numbers are solutions.

Step-by-step explanation:

Let's solve your equation step-by-step.

2(3x−1)=6x−2

Step 1: Simplify both sides of the equation.

2(3x−1)=6x−2

(2)(3x)+(2)(−1)=6x+−2(Distribute)

6x+−2=6x+−2

6x−2=6x−2

Step 2: Subtract 6x from both sides.

6x−2−6x=6x−2−6x

−2=−2

Step 3: Add 2 to both sides.

−2+2=−2+2

0=0

Answer:

2(3x – 1) = 6x – 2 number of solutions

Step-by-step explanation:

How many 3/4 are in 3 3/4?
A.16
B.5
C. 3 1/4
D. 7 1/2

Answers

Answer:

5

Step-by-step explanation:

3/4 x 5 = 15/4 15/4 is 3 3/4

2 to the 3rd power - 4 x 2 + 3

Answers

the answer to your question is 3

HELP PLSSSS

Which number best represents the slope of the graphed line?
y
+10
15
-10
-5
5
10
--5
-10
OA. -5
OB.
Ос.
OD. 5

Answers

maybe try -5 since the rise/run is 5/1 and the slope is negative

The slope of the graphed line is m = -5

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 0 , 2 )

Let the second point be Q ( 2 , -8 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 2 - ( -8 ) ) / ( 0 - 2 )

m = 10 / -2

m = -5

Hence , the slope is m = -5

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ7

Can someone please explain why x= -2! ASAP!!

Answers

Because you add both negative x’s which is -2 and add the -6 in the right side so then it’s -2x=4
Divide and you get x=-2

9514 1404 393

Answer:

  x = -2 because that is the value that makes the equation true

Step-by-step explanation:

Minus signs are everywhere. They can all be eliminated by multiplying both sides of the equation by -1.

  -1(-x -6 -x) = -1(-2)

  (-1)(-x) +(-1)(-6) +(-1)(-x) = 2 . . . . . distribute the -1

  x + 6 + x = 2 . . . . . . . . simplify

  x + x + 6 = 2 . . . . . . . . rearrange

  (1 +1)x +6 = 2 . . . . . . . . factor, using the distributive property

  2x +6 = 2 . . . . . . . . . . . simplify

  2x +6 -6 = 2 -6 . . . . . . subtract 6 from both sides

  2x = -4 . . . . . . . . . . . . . simplify

  (2x)/2 = (-4)/2 . . . . . . . divide both sides by 2

  x = -2 . . . . . . . . . . . . . . simplify

x is -2 because that is the value we get when we apply the properties of equality to the equation. We can check to see if it works in the original equation.

Check

-x -6 -x = -2

-(-2) -6 -(-2) = -2 . . . . put -2 where x is

2 -6 +2 = -2 . . . . . . . . simplify the signs

-4 +2 = -2 . . . . . . . . . . add the first two terms (could do all at once)

-2 = -2 . . . . . . . . yes, the value of x=-2 makes the equation true

_____

Additional comment

The properties of equality we're concerned with here are the multiplication property of equality, the addition property of equality and the division property of equality. Respectively, these tell us that multiplying, adding, or dividing both sides of the equation by the same number doesn't change the value of the variable.

These properties are essential to understanding how algebra works.

1 point 5. Mariah drew a model to match the equation below. 2/1/6 =12 What model best represents her equation? ​

Answers

Answer:

c

Step-by-step explanation:

Write the English phrase as an algebraic expression. Then simplify the expression. Let x represent the number.


The difference between three times a number and one more than two times the number.


What is the algebraic expression?


(Do not simplify)

Answers

i think it's 3x-2x+1

ANSWER PLZZ ASAP!!!
The Carnivorous Plant Exhibit
According to the passage, carnivorous plants are
A. known for mostly consuming flies, but will eat other insects
B. predatory green plants that capture and eat other animals
C. so attractive because of their beautifully shaped leaves
D. plants that are consumed by carnivorous animals in the wild

Answers

Answer:

B

Step-by-step explanation:

b is the correct answer

B
The correct answer is B

What is 4 divided by 1/10?

Answers

4 divided by 1/10 is 40 :)

Please help I really need it

Zoom in so it won’t be blurry

Answers

Answer:

this is the answer45x+134x

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