which property justifies step 3 Given: 4(x - 6) + 12 = 20

Answers

Answer 1

Answer:

x=8

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4(x−6)+12=20

(4)(x)+(4)(−6)+12=20(Distribute)

4x+−24+12=20

(4x)+(−24+12)=20(Combine Like Terms)

4x+−12=20

4x−12=20

Step 2: Add 12 to both sides.

4x−12+12=20+12

4x=32

Step 3: Divide both sides by 4.

4x

4

=

32

4


Related Questions

Find the circumference of the circle.

Answers

Answer:

11[tex]\pi[/tex]

Step-by-step explanation:

To find the circumference of a circle, the formula is:

d * [tex]\pi[/tex] = c

We already know the diameter, so we just plug that in:

11 * [tex]\pi[/tex] = c

11[tex]\pi[/tex] = c

Let me know if you have any questions.

3x-4/5=-1/2 what is the value of x ? ​

Answers

Answer:

the value of x is 0.1

Step-by-step explanation:

i hope this helped

have a good day

Mediterranean dip telefono Cricket in the area between the change of the jacuzzi on the kicker telefono question so have the education​

Answers

I lost 2 brain cells trying to understand this

HELPPP PlEASE !!!

Which equation best represents the function graphed above?

Answers

i don’t have my phone on me, but use an app called photo math and scan each equation. it should tell you what the graph is for each one, and see what one matches!

PLS HELP WITH MY TESTTTT.... ITS INEQUALITIESSSSSSSSSSS

Answers

Answer:

J

Step-by-step explanation:

34.7+6.3 would =41

40.9 cannot be more than 41, so it is not a possible solution

Makayla has a smart phone data plan that costs $45 per month that includes 2 GB of data, but will charge an extra $20 per GB over the included amount. How much would makayla have to pay in a month where she used 3 GB over the limit? How much would makayla have to pay in a month where she used went over by x GB?

Answers

Answer:

65?..................

Arnie is mixing red and yellow paints to make two different shades of orange. To make 1 cup of dark orange​ paint, he needs 7 ounces of red paint and 1 ounce of yellow paint. To make 2 cups of light orange​ paint, he needs 13 ounces of yellow paint and 3 ounces of red paint. Answer parts a and b.

Answers

Answer:

Arnie has enough red paint

Step-by-step explanation:

step 1

Find out the number of ounces of red paint needed to make 3 cups of dark orange paint

Let

x -----> number of ounces of red paint

y -----> number of ounces of yellow paint

z ----> cups of dark orange

we know that

\frac{x}{z}=\frac{7}{1}\ \frac{ounces\ red\ paint}{cups\ dark\ orange}

z

x

=

1

7

cups dark orange

ounces red paint

so

For z=3 cups

substitute and solve for x

\frac{x}{3}=\frac{7}{1}

3

x

=

1

7

x=21\ ounces\ of\ red\ paintx=21 ounces of red paint

step 2

Find out the number of ounces of red paint needed to make 3 cups of light orange paint

Let

x -----> number of ounces of red paint

y -----> number of ounces of yellow paint

z ----> cups of light orange

we know that

\frac{x}{z}=\frac{3}{2}\ \frac{ounces\ red\ paint}{cups\ light\ orange}

z

x

=

2

3

cups light orange

ounces red paint

so

For z=3 cups

substitute and solve for x

\frac{x}{3}=\frac{3}{2}

3

x

=

2

3

x=4.5\ ounces\ of\ red\ paintx=4.5 ounces of red paint

step 3

Adds the ounces of red paint

21+4.5=25.5\ ounces\ of\ red\ paint21+4.5=25.5 ounces of red paint

25.5\ ounces < 32\ ounces25.5 ounces<32 ounces

therefore

Arnie has enough red paint

Kari plans to sample 20 people of a population that contains 100 students. She wants to determine how many people wake up before 6 a.m. Which sample is the most random?
the first 20 students who arrive at school in the morning
all 20 boys on the swim team
5 students out of each of the 4 homeroom classes
the last 20 people in line for breakfast in the cafeteria

Answers

Answer:

5 students out of each of the 4 homeroom classes

Step-by-step explanation:

The most random sample is 5 students out of each of the 4 homeroom classes.

Thus, option (C) is correct.

Selecting 5 students from each of the 4 homeroom classes ensures that the sample represents a diverse range of students from different classes.

This approach helps to minimize bias and increase the randomness of the sample.

The other options, such as selecting the first 20 students who arrive at school or the last 20 people in line for breakfast, may introduce some bias based on the specific circumstances or characteristics of those groups. Selecting all 20 boys on the swim team would also not provide a representative sample of the overall student population.

Thus, option (C) is correct.

Learn more about Random variable here:

https://brainly.com/question/30789758

#SPJ4

Finding missing angles
please help!! i really need it

Answers

Answer:

95°

Step-by-step explanation:

The angles have the same degrees

what is 5n+15 in distributive property

Answers

Answer:

5(n+3)

Step-by-step explanation:

factor both of them

their common number is 5

divide 5 by each of them

5/5=1

15/5=3

Someone please help

Which of these statements about gross income and net income is true?

A. Gross income is a tax on all income that a worker earns, and net income is a tax paid by an employer based on a worker's wages.

B. Gross income is a tax paid by an employer based on a worker's wages, and net income is a tax on all income that a person earns.

C. Gross income is the amount an employee is paid after deductions and taxes, and net income is the total amount an employee earns before deductions are applied.

D. Gross income is the total amount an employee earns before deductions are applied, and net income is the amount an employee is paid after deductions and taxes.​

Answers

Answer:

D. Gross income is the total amount an employee earns BEFIRE deductions...

Enter two or moro numbers in the table to create a
histogram
Data
Enter the data to create a histogram. Then check all
that apply
runs
17
1
6
12868
0
The histogram has 1 cluster,
The histogram has 2 clusters,
The histogram has 1 peak,
The histogram has 4 peaks,
The histogram has 0 frequency from 4-5.
Show histogram

Answers

Answer:

b The histogram has 2 clusters.

c The histogram has 1 peak.

e The histogram has 0 frequency from 4-5.

Step-by-step explanation:

Answer: rileyayers85 is correct

Step-by-step explanation:

I got the answer right

It takes 1/3 of an hour to take down 1/9 of the camp at the YMCA campground. How long does it take the camp staff to take down the entire camp?
Group of answer choices

1/27 of an hour

27 hours

9 hours

3 hours

Answers

Answer:

Step-by-step explanation:

1/9 of the camp means it has 9 parts the whole thing (each 1/9)

1/3 of an hour for 1 part and

for 9 parts we have

1/3 *9 = 9/3= 3 hours

y=-x + 4 slope = y-intercept =​

Answers

Answer: y intercept is 4

Step-by-step explanation:

the number + or - after x is the y intercept

Factor"

b(a+1)^2 - 5(a+1)

PLS HELP WILL MARK BRAINLIEST

Answers

Answer:

To factor out the following expression you would you would need to remove the (a + 1) term out of the expression, which leads to :

(a+1) (b(a+1) - 5

Step-by-step explanation:

This is the final expression

What number has a absolute of 10?

Answers

Answer:

10

Step-by-step explanation:

Answer:

10, -10, [tex]\sqrt{100} =10[/tex]

Step-by-step explanation:

id k if you are asking for the absolute value, but I hope this helps.

Johnny has 196 baseball cards. He has 7 pages to put them on. How many cards should go on each page?
23 baseball cards
33 baseball cards
18 baseball cards
28 baseball cards

Answers

Answer:

33

Step-by-step explanation:

Ms. O'Rourke has graded 20% of her 150 students'
papers. How many papers does she still need to finish
grading?

Answers

Answer:

150−30=120 papers are still left to do

Step-by-step explanation:

150−30=120 papers are still left to do

Which best describes the two-dimensional shape created by the cross-section shown on the cylinder?
A.Cirlcle
B.Square
C.Ellipse
D.Rectangle

Answers

Answer:

Step-by-step explanation:

Answer:

B

Step-by-step explanation: im just smart

HELPPP IM ON A TIME LIMIT IF I FAILE IM GOING TO GET A WHOOPING OK PLS HELP

Which of the following represents the equation below in intercept form?
f (x) = 2x² + 6x - 80

A) f (x) = (x-5) (x+8)

B) f (x) = 2 (x-5) (x+8)

C) f (x) =2 (x+5) (x-8)

D) f (x) = 2 (x-4) (x+10)

Answers

Answer:

A

Step-by-step explanation:

since your in hurry i wont be showing work

Answer: B

is B f(x) = 2 (x-5) (x+8)

Step-by-step explanation:

Because you simplify

f (x) = 2x² + 6x - 80

f (x) = 2x2+6x−80

f (x) = 2x2+6x−80

        = 2 (x−5)(x+8)

hope this help ;)

Linear Equations Digital Escape! Can you find the slope-intercept equation of each line and type the correct code?

Answers

Answer: I can if there’s a picture...

Step-by-step explanation:

Answer: cgia

Step-by-step explanation:

In a year, there are 4 months that have 30 days.

What is the ratio of the months with 30 days to the months with other than 30 days?




2 to 1

1 to 3

1 to 2

3 to 1

Answers

The answer would be 1 to 2 .

PLZ PLZ PLZ PLZ HELP ME WITH THIS QUESTION

Answers

ur answer is c



dbjdbdnsbsjeej have a good day
your answer is c

your welcommeeee

Mrs. Avery is going to randomly select one student from her class to read a poem out loud. There are 15 boys and 13 girls in her class.

What is the P{boy}?

Answers

15/28 can’t be simplified

What is the sum of 15 and its additive inverse?
O A. -30
B. -15
oc. O
OD. 1
O E. 30

Answers

Answer:

The answer is C, zero

Step-by-step explanation:

Additive inverses are numbers that equal zero when added together.

Let us factorise the following alg
x4/16-y4/81

Answers

Step-by-step explanation:

this way we get value of x and y

hope it helps ☺️☺️

if u like give thanks

What is this answer -1/2 + 1/10

Answers

Answer:

4536363646

Step-by-step explanation:

The exact form of the equation -1/2+1/10 is -2/5 and the decimal form of -2/5 is -0.4

Mr. Gonzalez is designing a planter box shaped like a rectangular prism. The width of the box is 6 feet, and the length is 4 feet. Find the height of the box if the volume is 150 cubic feet.

Answers

Answer: 6.25

Step-by-step explanation:

6•4•(6.25)= 150

Can somebody help me please? thank you.

Answers

13/16 it goes up by 16th
hope this helps :)

-190*(x)483-913+342-4569-(y)94=

Answers

Answer:

-91770x - 94y - 5140

Step-by-step explanation:

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