Identify the property that justifies each step asked about in the answer area below. Line 1: \text{Line 1: }\phantom{=}Line 1: = 4(8+9x)\,\,4(8+9x)4(8+9x) Line 2: \text{Line 2: }\phantom{=}Line 2: = 4(9x+8)\,\,4(9x+8)4(9x+8) Line 3: \text{Line 3: }\phantom{=}Line 3: = 36x+32\,\,36x+3236x+32 Line 1 to Line 2: Line 2 to Line 3:

Answers

Answer 1

Answer:

1. Commutative Property of Addition

2. Distributive property

Step-by-step explanation:

Given

[tex]Line 1: 4(8+9x)[/tex]

[tex]Line 2: 4(9x+8)[/tex]

[tex]Line 3: 36x+32[/tex]

Required

Justify each step

From Line 1 to 2:

The property from Line 1 to 2 depicts [tex]a + b = b + a[/tex];

i.e.

[tex]4(8 + 9x) = 4(9x + 8)[/tex]

This is referred to as Commutative Property of Addition

From Line 2 to 3:

The property here depicts [tex]a(b + c) = a * b + b * c[/tex]

i.e.

[tex]4(9x + 8) = 4 * 9x + 4 * 8[/tex]

[tex]4(9x + 8) = 36x + 32[/tex]

This is referred to as Distributive property

Answer 2

Answer:

Line 1 to Line 2: Commutative Property of Addition

Line 2 to Line 3: Associative Property of Addition

Step-by-step explanation:

does that answer anything


Related Questions

Owen is an alien who only wears fractions of socks at a time. if only 4/5 of owens sock are clean, and he wears 2/5 socks a day, how many days has it been since he washed all his socks? simplify your answer and write it as a proper fraction or as a whole or mixed number

Answers

Answer:

[tex]\dfrac{1}{2}[/tex] day

Step-by-step explanation:

Given that:

Owen who is an alien has only 4/5 of his socks clean.

and he wears 2/5 socks a day.

Out of his total 4/5 clean socks.

It will take him (4/5 ÷ 2/5) days to wash all his socks

i.e

the numbers of days since he washed all his socked is:

= [tex]\dfrac{4}{5} \div \dfrac{2}{5}[/tex]

= [tex]\dfrac{4}{5} \times \dfrac{5}{2}[/tex]

= [tex]\dfrac{1}{2}[/tex]

Will give brainliest The table represents the recommended exercise intensity for an aerobic program based on the number of visits since beginning the program. A 2-column table with 6 rows titled Intensity of Exercises. The first column is labeled Number of Visits with entries 1, 2, 3, 4, 5, 6. The second column is labeled Exercise Intensity with entries 60%, 60%, 60%, ?, ?, ?. The program recommends a constant intensity for 3 visits, increasing intensity over 3 visits, and then decreasing intensity for 3 visits before restarting the pattern. Which sets of values could be the intensities of Amber’s exercise during the fourth, fifth, and sixth visits? Select three options. 63%, 63%, 63% 66%, 69%, 72% 66%, 62%, 58% 63%, 65%, 67% 67%, 72%, 77%

Answers

Answer:

The answers are B, D, E

B.) 66%, 69%, 72%

D.) 63%, 65%, 67%

E.) 67%, 72%, 77%

Step-by-step explanation:

I just took the test and got it right

Hopefully this helps you

pls mark brainlest

Answer:

B,D, and E

Step-by-step explanation:

a jar is filled with 1000 jelly beans . A random sample of 15 is taken from the jar and it is found to contain 2 black , 4 green , 6 red , and the rest orange . Of the 1000 jelly beans in the jar. The expected number of black jelly beans and orange jelly beans respectively be :
A. 267,200
B. 257,300
C. 133,300
D. 133, 200​

Answers

the answer to this would be d

The answer would be B. 257,300

What is the slope of the line below? pls help !!

Answers

Answer:

E

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (7, - 5) and (x₂, y₂ ) = (14, - 7) ← 2 points on the line

m = [tex]\frac{-7+5}{14-7}[/tex] = - [tex]\frac{2}{7}[/tex] → E

In 20X1, Ginzel Corporation agreed to provide a client with 20 detailed marketing analyses of its client's key products for a total fee of $110,000. The fee was computed as $5,000 per report × 20 reports = $100,000, plus $10,000 to extract the necessary data from the client's system and convert it into the format Ginzel needs to do the analysis. It cost Ginzel $4,000 to complete the data extraction and conversion. As of December 31, 20X1, Ginzel has completed the conversion of the data and has completed and delivered 7 of the 20 marketing reports to the client. 1. How much revenue should Ginzel recognize in 20X1? 2. How should Ginzel account for the $4,000 in costs it incurred to extract and convert the client's data?

Answers

Answer:

$38,500$1,400

Step-by-step explanation:

1. According to the Accrual Principle of Accounting, revenue should only recognized when the goods or services for which it was paid for have been delivered. In other words, revenue should only be recognized when earned.

As of December 1, 20X1, Ginzel had only completed 7 of the 20 reports so the revenue recognized should be for the completed reports alone.

Total revenue for 20 reports = $110,000

Revenue for 7 reports = 7/ 20 * 110,000

= $38,500

2. The Accrual principle also applies to expenses and states that expenses should only be accounted for when incurred. As the $4,000 relates to all the reports, it should be apportioned evenly.

The costs of extraction and conversion of data for the year should therefore be;

= 7/20 * 4,000

= $1,400

3. Suzie is making a large batch of cookies for her mom. The recipe calls for
423 cups of sugar. The only measuring cup she has is 13 cup. How many of
these will suzie have to fill and pour in, to equal the amount of sugar she
needs? *

Answers

Answer:

32.5

Step-by-step explanation:

Answer:

32 and a half

Step-by-step explanation:

If you divide 423 by 13, you get 32.538, meaning in order to get enough, shed half to fill the 13 cup half way up

Can someone please help me?​

Answers

Answer:

This might help u......

Please help ASAP!!!!!!!

Answers

Answer:

The answer is B

Step-by-step explanation:

You need to put your reindeer, Ezekiel, Lancer, Rudy, and Jebediah, in a single-file line to pull your sleigh. However, Jebediah and Rudy are best friends, so you have to put them next to each other, or they won't fly.

Answers

Answer:

Well to start out you have 5 reindeer. If you glue Lancer and Ezekiel together you only have 4 units to arrange in different orders. That number is 24. But for each of those, Lancer and Ezekiel can be arranged in two ways... with Lancer in front of the pair or in the back of the pair. So altogether there are 48 ways to arrange the five reindeer with Lancer and Ezekiel always being together.

Answer:

Put Jebediah and Rudy in the back of the line next to each other, and the 2 others single file in front

Step-by-step explanation:

More weight in the front makes them fall.

If two alternate angles are formed on parallel lines, they are said to be______
a. complementary
b. equal
c. supplementary
d. transversal ​

Answers

Answer:

b

Step-by-step explanation:

equal. where are you from?

If two alternate angles are formed on parallel lines, they are said to be b) equal.

Parallel lines are lines that never intersect, they are at equal distance from each other forever. If passed a transversal between the two parallel line, the angles forming have many relations like corresponding angles, alternate angles, co - interior angles or co - exterior angles.

Given in the question, we have alternate angles, maybe interior of the parallel lines or maybe exterior of the parallel line, but always on the opposite side of transversal. But, alternate angles are always equal to each other.

Thus option b is correct.

Learn more about alternate angles here

https://brainly.com/question/30035264

#SPJ2

if p(x)=6x-3x^2+5 find p(-1)​

Answers

Answer: P(-1) = -4

Explanation:

p(x) = 6x-3x^2+5

Find p(-1):

P(-1) = 6(-1) - 3(-1)^2 + 5
= -6 - 3 + 5
= -9 + 5
= -4

Therefore, P(-1) = -4

plz i need help Find the perimeter and area of each shape. If you use a formula write it down. Show me your work. 1.) An 8ft by 10 ft rectangle15. 2.) A square with a side of 7in

Answers

1) perimeter = 36 ft

explanation:

p=2l+2w
p=2(8)+2(10)
p=16+20
p=36

area = 80 ft^2

explanation

a=l*w
a=8 ft* 10 ft
a=80 ft^2

2) perimeter = 28

explanation:

p=2l+2w
p=2(7)+2(7)
p=14+14
p=28

area = 49 in^2

explanation:

a=l*w
a=7in*7in
a=49 in^2

For a field trip 11 students rode in cars and the rest filled eight buses. Which equation below will help you find how many students were in each bus if 315 students were on the trip? 11x + 8 = 315 315 + 8x = 11 8x + 11 = 315

Answers

Answer:

8x + 11= 315

Step-by-step explanation:

Let x = the number of students in a bus

There are 8 buses

8x is the number of students in buses

There are 11 students in cars

Add this together to get all the students, which is 315

8x + 11= 315

Answer:

8x + 11 = 315

Step-by-step explanation:

Note: There are 315 students in all. The expression being created will equal this amount.

11 of the students rode in cars, so they will be excluded from the bus amount. Add those at the end (+11).

It is given to us that there are 8 buses in all. You are solving for the amount of students in each bus, which is signified by x. As there are 8 buses, you will multiply the two together: 8x

8x + 11 = 315 is your answer.

~

What is 1.023 time 10 with an exponent of negative 2

Answers

Answer:

102.3

Step-by-step explanation:

Convert 1.023 x [tex]10^{2}[/tex] from scientific notation.

HELP HELP HELP HELP HELP

Answers

Answer:

a: [tex]-20+12y[/tex]

Step-by-step explanation:

[tex]10-6\left(5-2y\right)[/tex]

Expand:

[tex]10-6* \:5-\left(-6\right)* \:2y[/tex]

[tex]10-6* \:5+6* \:2y[/tex]

[tex]10-30+12y[/tex]

Subtract:

[tex]-20+12y[/tex]

Your question has been heard loud and clear.

10-6(5-2y) =  10 - 30 +12y =  -20+12y.  

(All you have to do is multiply -6 with 5 and -2y , then simplify the equation)

Thank you

Twenty-four crackers contain 360 Calories. Find the unit rate in Calories per cracker. The unit rate in Calories per cracker is​

Answers

The answer is fifteen

Find the midpoint m of z1= (7 + 2i) and z2= (1 + 5i).

Answers

Answer:

the mid

Step-by-step explanation:

(-1.5, -5)

What is the answer to 3x2 4x3y 5y2 =

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{60 {x}^{5} {y}^{3}}}}}} [/tex]

Step-by-step explanation:

[tex] \sf{3 {x}^{2} \times 4 {x}^{3} y \times 5 {y}^{2} }[/tex]

Multiply the numbers and variables separately

[tex] \longrightarrow{ \sf{(3 \times 4 \times 5) \times {x}^{2} \times {x}^{3} \times y \times {y}^{2} }}[/tex]

[tex] \longrightarrow{ \sf{60 \times {x}^{2} \times {x}^{3} \times y \times {y}^{2} }}[/tex]

Add the powers of the variables with same base

[tex] \longrightarrow{ \sf{60 \times {x}^{2 + 3} \times {y}^{1 + 2}}} [/tex]

[tex] \longrightarrow{ \sf{60 {x}^{5} {y}^{3} }}[/tex]

Hope I helped!

Best regards! :D

1) 21 + 36 - 15 ÷ 3 2) 51 ÷ 3 - 4 x 3

Answers

Answer:

1)52

2)5

Step-by-step explanation:

use PEMDAS

1) 21+36-15÷3. 2) 51÷3-4×3

15÷3= 51÷3=17

21+36-5. 17-4×3=12

21+36= 17-12=

57-5= 5

52.

44.90
Just solved it my self

The coordinates of point T are (0,3). The midpoint of ST is (4, - 7). Find the coordinates of point S.
The other endpoint is
(Type an ordered pair.)

Answers

Answer:

S= (8, -17)

Step-by-step explanation:

point 0 is 4 away from point 4. so add the amount of away to the midpoint, 4 and 4 is 8. 3 is -10 away from -7. so add -10 and -7 to get -17.

What’s 144 divided by 9

Answers

Answer:

16

Step-by-step explanation:

The required value of 144 divided by 9 is 16.

What is the division operation?

In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.

For example 4/2 = 2

We have to determine the value of 144 divided by 9.

As per the question,

⇒ 144 ÷ 9

⇒ 144 / 9

Apply the division operation, and we get

⇒ 16

Thus, the required value of 144 divided by 9 is 16.

To learn more about the division operation click here :

brainly.com/question/25870256

#SPJ5

micheal spent 18 at a local farmers . The apples he bought cost 2$ per pound, the peppers coat 3$ per pound. How many pounds of apples and peppers did he buy? Choose the equations that are equivalent, Check all the apply. 1-p=2/3a+6 2-p=-2/3a+6 3-a=1 1/2p+9 4-1 1/2p+9 5- -3p+18÷2​

Answers

Answer:

Step-by-step explanation:

3 pounds of apples and 4 pounds of peppers

six pounds of apples and two pounds of peppers

p=-2/3a + 6

a=-1 1/2p + 9

a= -3p+18/2

Is this right? I just need to make sure. :)

Answers

Answer:

Yes, you are 100% correct! Good job!!!

Step-by-step explanation:

Answer: B

Step-by-step explanation:

To solve this problem, we need to understand y-intercepts and slope.

Looking at the problem, we can automatically eliminate C and D. The graph has a negative slope because it is going down.

Now, let's look at the y-intercept. We see that the graph passes the y-axis at 1. Therefore, B is the correct answer.

if i saved $500 a month how many months until i’m a millionare?

Answers

Answer:

about 2000 years or 23999.97 months

Step-by-step explanation:

1,000,000 / 500

While shopping at a clearance sale Samantha find $60 dress on sale for 25% off Samantha also has 50% off coupon which statement correctly summarizes her savings

Answers

Answer:A samantha will save 45$ because the two sales will combine for 75% off the original cost.

Step-by-step explanation:

I took the test hope this helps

Answer:  

Option B

(B) Samantha will save $37.50 because she must first find the 25% sale price before taking the extra 50% reduction

Step-by-step explanation:

Q is the midpoint of line PR. PQ = 2x +1 and QR = 5x -44. Find PQ.
PQ =

Answers

Answer:

Step-by-step explanation:

2x + 1 = 5x - 44

-3x + 1 = -44

-3x = -45

x = 15

2(15) + 1 + 5(15) - 44

30 + 1 + 75 - 44

31 + 31 = 62

What is the coefficient in the term 24y?

Answers

Answer:

24

Step-by-step explanation:

How many hours are there in a week?

Answers

168. please give brainliest

Answer:

168 hours

Step-by-step explanation:

What is 2/5 divided by 1/6 HELPPPPP

Answers

Answer: 2.4 as a decimal or 12/5 in fraction form

Find the 9th term of the geometric sequence whose common ratio is 1/2 and whose first term is 4.

Answers

Answer:

The 9th term is 1/64.

I hope it is correct ✌️

Other Questions
Terapin Company engages in the following external transactions for November. 1. Purchase equipment in exchange for cash of $23,400. 2. Provide services to customers and receive cash of $6,800. 3. Pay the current month's rent of $1,300. 4. Purchase office supplies on account for $1,000. 5. Pay employee salaries of $2,100 for the current month. Required:Record the transactions. Terapin uses the following accounts: Cash, Supplies, Equipment, Accounts Payable, Service Revenue, Rent Expense, and Salaries Expense. 2 o'clock starts turning on at the same time clock chimes every 15 minutes the other clock chimes every 25 minutes and how many minutes will they chime together A survey of 275 adults found that during the last year, 65 traveled by plane but not by train, 80 traveled by train but not by plane, 50 traveled by bus but not by plane or by train, 50 traveled by bus and plane, 30 traveled by all three, and 205 traveled by plane or train. How many did not travel by any of these modes of transportation? 4) An art classroom has 5 boxes with sharpie pens and clipboards. Each box has 4 sharpies.There are 25 supplies in all. How many total clipboards are there? Which statement describes a question that can be answered by a scientificinvestigation?A. It asks why a scientist is curious about a phenomenon.B. It is based on an observation of a natural phenomenon.C. It is based on a philosophical argument.OD. It asks whether an investigation is worth doing.SUBMIT PLEASE HELP what are the organic molecules used foe long-term energy storage called? a sugars b starches c fats d cholesterol area model of 2(4+7) Multiply: (x 4)(x + 5)(a) x2 + 5x - 20,(b) x2 - 4x - 20,(c) x2 - x - 20,(d) x2 + x - 20. 50 POINTS PLEASE HELP AND EXPLAIN YOUR ANSWER What information is missing to show that WZX YZX by HL? What is another way to name line ? What are the most common base units used in the metric system?A. Meters, Liters, GramsB. Meters, Liters, QuartsC. Inch, Centimeter, PoundD. Nickel, Quarter, Dime What do you think were the long term effects of the 3/5 Compromise on America? Please help I will give brainliest!! I also need an explanation on how. hypothesis on social media during pandemic Students conduct a lab in which they neutralize an acid. Which of the followingis the last thing students should do before leaving the lab area? The highest amount a firm can charge for its products is most directly affected by:______.a. expected retaliation from competitors.b. the cost of substitute products.c. variable costs of production.d. customers' high switching costs. What type of microscope bends light and uses multiple lenses to magnify a cell? Long and Bells expedition labeled the southern plains, which included present-day Oklahoma, the Great American __________. A. Plains B. Desert C. Grasslands D. Prairie Which word best describes the word scale? 1) adjust, compare 2) climb 3) estimate, gauge 4) scrape the points on the number line show how many pennies for children have how many more money does the child with the most pennies have than a child with a fewest pennies