What is the justification for each step in the solution of the equation?

54+2x=5x−3(2+6x)

Select from the drop-down menus to correctly justify each step.

54+2x=5x−3(2+6x) Given

54+2x=5x−6−18x Choose....Addition property of equality, Distributive property, or multiplication Property of equality

54+2x=−13x−6 Combine like terms
54=−15x−6 Subtraction Property of Equality

60=−15x Choose......Addition property of equality, Distributive property, or multiplication Property of equality

−4=x choose........Addition property of equality, Distributive property or equality, or multiplication Property of equality

Answers

Answer 1

Answer:

see below

Step-by-step explanation:

54+2x=5x−3(2+6x) Given

Distribute the -3 to all the terms in the parentheses

54+2x=5x−6−18x  Distributive property

54+2x=−13x−6 Combine like terms

Subtract 2x from each side

54=−15x−6 Subtraction Property of Equality

Add 6 to each side

60=−15x Addition property of equality

Divide each side by -15 ( or multiply each side by -1/15)

−4=x multiplication Property of equality


Related Questions

1/2 divided by 6
Could you help me

Answers

the answer should be 12, if not then its going to be some decimal forms. What grade are you in?

Answer:

Well for some reason my computer will not allow me to see the first half, but if the question you're asking is just ''1/2 divided by 6'' then I can help!

Step-by-step explanation:

1/2 is equal to .5 so to divide .5 times 6 that would get you .083 (3 repeating).

Hope this helps, and again , my apologies for my computer not showing the first two numbers or emojis

Aaron can join a gym that charges $19.99 per month, plus an annual $12.80 fee, or he can pay $21.59 per month. He thinks the second option is better because he plans to use the gym for 10 months. Is Aaron correct? Explain.

Answers

Answer:

No

Step-by-step explanation:

Option 1

$12.80 + 10*$19.99 = $212.70

Option 2

$21.59*10 = $215.90

Aaron is is wrong, the second option is not better

can someone do all the even numbers

Answers

Go lily go with yo ugly self

Can someone help me please

Answers

Answer:

B

Step-by-step explanation:

I will give brainliest

Answers

Answer:

Answer:

Hi i just saw your question about giving away bloxburg money . I was asking for help with money and looking up bloxburg while waiting. Within 5 minutes SNOG deleted not 1 but 2 questions there were nothing wrong with them either. Please can you help me by donating so I can give my sister and I a good bloxburg house?

I kno wu need help but Im sorry for answering it with this but I had to find your latest question to find you PLEASE HELP ME!!! I will find some way to repay you!

An alien blob started with a mass of 12 kg and is doubling in size every day. How large will the blob be after 2 weeks? y=a(b)^x

Answers

Answer:

208

Step-by-step explanation:

In Constitution of the Iroquois Nations, what does paragraph 12 mainly convey? please help

Answers

Answer:

mine free

Step-by-step explanation:

Distributive property of 48-16

Answers

Answer:

Ok, split the numbers into their addends, 16= 10+6, and 48= 40+8. Now distribute: (10+40)+(8+6)=(50)+(14)=64.

if not good, don't guess!

Step-by-step explanation:

D=m/v=35.0g/30.0 cm3

Answers

what am i suppose to be finding?

A is the midpoint of XY
A. find XA
B. Find AY and XY

Answers

XA=32
AY=32
XY=64

I think those are right

Is -90 a integers please help me

Answers

Answer:

Yes

Step-by-step explanation:

Any number that's a WHOLE NUMBER like 1, 2, 3, -1, -2, -3 etc. is an integer! (including negative numbers as listed.) However any fractions or decimals are NOT integers.

Hope this helps and have a nice day!

Help pls
-28 = 5y - 8

Answers

Answer:

y=-4

Step-by-step explanation:

Hope this helps :)

Answer:

y = -4

Step-by-step explanation:

Assuming we are solving for y, start by isolating the variable:

-28 = 5y - 8

-20 = 5y (Added 8 on both sides.)

-4 = y (Divided 5 on both sides.)

Caleb was building a birdhouse. He needed 2 boards that were each 6 inches long and one board that was 18 inches long. He was then able to cut the boards into pieces to use. What was the total length of the boards that he needed?

Answers

Answer:

The total length is 30 inches

Step-by-step explanation:

(7.74 x 10^7) = (2.58 x 10^4)

Answers

Answer:

false

Step-by-step explanation:

15) -5b + 6 + 3b = 3b - 18

Answers

Answer:

b=4.8 or 48/10

Step-by-step explanation:

So first combine like terms

-5b+6+3b=3b-18

-2b+6=3b-18 (-3b from each side)

-5b+6=-18(-6 from each side)

-5b=-24(divide by -5)

b=4.8 or 48/10

Answer:

24 /5

Step-by-step explanation:

Easy algebra work

Helpppppppp ill give brainliest
1. |-19-12|
2. |19-(-12)|
3. |10 - (-42)|
4. |-10 - 43|
5. |-1 - (-16)|
6. | 1-16|
7. | 0 - (-9) |
8. |0 - 9|
9. |-14.5 - 13|
10. | 14.5 - (-13)|

Answers

Answer:

1. -31

2. 31

3. 42

4. -53

5. 15

6. -15

7. 9

8. -9

9. -27.5

10. 27.5

Step-by-step explanation:

Sorry if some of them are wrong.

Which number is greater than 1?
O A. 1.34
B. 158%
O c. 7
3
O D. 1.6 x 10-0

Answers

Answer:

A

Step-by-step explanat:

Answer:

7 is greater

Step-by-step explanation:

ggdghiowwjeh85epeetilsitslstjlssit

Which of the following is a solution of (x - 5)(x + 7) = 3x + 21
0
45
8
5

Answers

[tex](x - 5)(x + 7) = 3 x + 21[/tex]

[tex](x - 5)(x + 7) = 3(x + 7)[/tex]

[tex](x - 5)(x + 7) - 3(x + 7) = 0 \\ [/tex]

[tex](x + 7)(x - 5 - 3) = 0[/tex]

[tex](x + 7)(x - 8) = 0[/tex]

[tex]x + 7 = 0 \\ x = - 7[/tex]

Or

[tex]x - 8 = 0 \\ x = 8[/tex]

how do I evaluate this help me please like seriously help

13−0.75w+8x when w = 12 and x = 1/2

Answers

Answer:

8, see below

Step-by-step explanation:

put 13 and 1/2 in equation, then solve

13-.75(12)+8(1/2)

.75×12=9

8×.5=4

13-9+4=8

Hey, can you please help me with this? thanks btw :)

Answers

28.27 is the area of the circle with a diameter of 6

Answer:

Step-by-step explanation:

Area of Circle: πr²

Diameter = radius * 2

Diameter = 3 * 2 = 6

Plug into the formula πr²

(3)²π ≈ 28.274 or 9π

what is 7/12 divided by 2/9

Answers

Answer:

21/8 or 2.625

Step-by-step explanation:

2.625


sorry if wrong but can you put thanks?

A wise woman once said ,”400 reduced by twice my age is 262”. What is her age ?

Answers

Answer:

131

Step-by-step explanation:

262 divided by 2 equals 131

umm i think it’s 131

Question 9 of 10
Maryam says that 287.04 rounded to 2 significant figures will be 28. Do you agree with Maryam? Explain your answer.

Answers

Answer: I do not agree because if the number in the ones place is 5 or more then the number in front of it should go up one, therefore the answer would be 29 instead of 28

Step-by-step explanation:

Jenny has a bag of lollipops leftover from Halloween.
There are 6 cherry
, 5 lemon, 2 grape,
3 orange and 4 lime. What is the probability that
Jenny randomly chooses a cherry lollipop?
3

Answers

Answer:

kinda low kinda high because there is also 5 lemon

Answer: probably low because you have a lot of lemon lollipops

Step-by-step explanation:

PLEASE HELP I WILL GIVE BRAINLIEST




1+1

Answers

I THINK THE ANSWER IS FISH

Solving a linear equation: Your hourly wage is $9.75 per hour plus
$0.80 for each unit you produce. How many units
must you produce in 1 hour so that your hourly wage
is $19.35?

Answers

Answer:

You must produce 12 units

Step-by-step explanation:

19.35 - 9.75=9.60

9.6/0.8=12

Answer:

the answer is 12 units  

Step-by-step explanation:

u get 9.75 an hour and 0.80 for every unit so subtract 9.75 from 19.35 and u get 9.60 now divide that by 0.80 and u  get 12 units

Please help!
Dean's car can travel 21 miles on a gallon of gas. If his gas tank holds 15 gallons, how far can he travel on a full tank of gas? Explain how you got your answer.

Answers

Answer: 315 miles

Step-by-step explanation:

21 times 15

its 315

Find the length of each colored line

Answers

Answer:

1: 2cm

2: 5cm

Step-by-step explanation:

Answer:

First one is 2, second is 5

Step-by-step explanation:

Logan has two aquariums. One aquarium contains 1.3 cubic feet of water and the other contains 1.9 cubic feet of water. The water in the larger aquarium weighs 37.44 pounds more than the water in the smaller aquarium. Write an equation with a variable on both sides to represent the situation. Then find the weight of 1 cubic foot of water.

Answers

Answer:

62.4

Step-by-step explanation:

1. 1.3x+37.44=1.9x

2. 1.3x+37.44-1.3x=1.9x-1.3x

0.6x=37.44

3. x=37.44/0.6=62.4

The weight of 1 cubic foot of water is 62.4 lb.

Representing Equation with variable on both sides

Let 'x' pounds be the weight of 1 cubic foot of water.

We know one aquarium contains 1.3 cubic feet of water. So, the weight of 1.3 cubic feet of water = 1.3x

The other aquarium contains 1.9 cubic feet of water. So, the weight of 1.9 cubic feet of water = 1.9x

It is given in the question that the water in the larger aquarium weighs 37.44 pounds more than the water in the smaller aquarium.

The equation would be

1.9x  =  1.3x + 37.44

The above equation quality the condition of variable on both sides.

To find out the weight of 1 cubic foot of water, we will solve the above equation to find the value of x.

1.9x  =  1.3x + 37.44

1.9x - 1.3x = 37.44

0.6x  =  37.44

x = 37.44/0.6

x  =  62.4

So, the weight of 1 cubic foot of water is 62.4 lb.

To know more about variable equations click the link below

https://brainly.com/question/28771209

#SPJ2

What to put in blank spaces including the y= and x+
Giving brainiest please help

Answers

Answer:

Not answer but this'll help solve

Step-by-step explanation:

Divide each weight on Earth by 6 to find the weight on the moon

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