Jayden correctly simplifies the expression 9x(2+7x) using the following steps Step 1. 9(7x+2) Step 2. 9(7x) +9(2) Step 3. (9x7)x+18. What are the properties for each one?

Answers

Answer 1

How to solve:

    Let's follow his process step-by-step to analyze what property is being used. The breakdown is as follows:

Process:

Jayden's work

Set up equation                                                     9(2 + 7x)

Step 1                                                                      9(7x + 2)

Step 2                                                                     9(7x) + 9(2)

Step 3                                                                      (9*7)x + 18

Breakdown

Set up equation                                                     9(2 + 7x)

Step 1: Commutative Property of Addition

This property states that when adding, the order of the numbers being added does not matter, and are therefore interchangeable.

Original equation: 9(2 + 7x)

Equation's formula: a(b + c)

Changed equation: 9(7x + 2)

Equation's formula: a(c + b)

By swapping the b and c values in the parentheses, Jayden is demonstrating the Commutative Property. Both will still produce the same sum.

Step 2: Distributive Property of Multiplication

This property states that the sum of two addends that are multiplied by the same number is equal to the product of that number multiplying the sum of both addends.

Original equation: 9(7x + 2)

Equation's formula: a(c + b)

Changed equation: 9(7x) + 9(2)

Equation's formula: a(c) + a(b)

By splitting the parentheses and multiplying each term separately, Jayden is demonstrating the Distributive Property. Both will produce the same product.

Step 3: Associative Property of Multiplication

This property states that the product of three terms, where one is outside of the parentheses multiplying the other two, is not affected by changing which term is on the outside of the parentheses.

Original equation: 9(7 * x) +18

Equation's formula: a(c*x) + (ab)

Changed equation: x(7*9) + 18

Equation's forumula: x(c*a) +18

By swapping the 9 and x variables, Jayden is demonstrating the Associative Property. Both will produce the same product.

Simplified:

Step 1 - Commutative Property

Step 2 - Distributive Property

Step 3 - Associative Property


Related Questions

i have this in my notes tho the numbers r different and im not the smart QwQ

Answers

Answer:

52 Winners

Step-by-step explanation:

Please help as possible!!
Is this right?

Answers

Yes because if sam took 12 tests in six weeks and it asking how many tests Sam have taken after 28 weeks of school
Yes that’s right I did that before

help, question is below :)))

Answers

Answer:

$43 million

Step-by-step explanation:

Step 1. Turn the sentence into an equation (total = T)

15.4 million = 0.36 (T)

Step 2. Solve for T

15,400,000 / 0.36 = T

42,777,777.78 = T

$42.8 million ≈ $43 million (rounded)

The final answer rounded to the nearest million is $43 million. This makes sense since $15.4 was only 36% of this total. Checking our math, 36% of $43 million is $15.4 million!

Hope this helps :)

Its should be 43 million

!!please, please help me!!

Find the length of the base and the height of the parallelogram shown below.
What is the area of the parallelogram? Please explain how you got your answer.

Answers

Answer:

Length: 12

Width: 2[tex]\sqrt{10\\}[/tex]

Area: 24[tex]\sqrt{10\\}[/tex]

Step-by-step explanation:

We first find the points of C and D to find the length.

C: (-4,-5)

D: (2,-3)

The distance is 2[tex]\sqrt{10\\[/tex].

Now for the height.

A: (2,9)

D: (2,-3)

The distance is 12.

Area: 2[tex]\sqrt{10\\[/tex]×12 = 24[tex]\sqrt{10\\}[/tex]

Brainliest! Please answer quickly!
___________________________

Answers

Answer:

N = 85

Step-by-step explanation:

(236 + 542)+N = 863

778 + N = 863

N = 863 - 778

N = 85

Answer:

N=85

Step-by-step explanation:

(236 + 542) + N = 863

Go in order of PEMDAS (Parantheses, Exponents, Multiplication, Division, Addition, Subtraction)

236 + 542= 778

now we have

778+N = 863

(778 plus a number equals 863)

to find the number (N) we can subtract 778 from 863.

863-778=85

so,

N = 85

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Stay Brainy!

Kallmekrish

This chart shows the number of eggs laid each month by my pet chicken, Drakestail:
(picture below)

What is the greatest average number of eggs per month laid by Drakestail during a period of 5 consecutive months?

("Consecutive" means "back to back". For instance, January and February are consecutive, but January and March aren't.)

ASAP PLEASE! GIVING OUT 20 POINTS

Answers

Answer:

But the average is (21 + 23 + 22 + 24 + 15)/5 =

21 eggs, Forgive me if im wrong.

Step-by-step explanation:

Kelsey's lst 5 history test scores were 78 85 91 81 and 78. if her sixth test score is an 85 which of the following statements are true?

Answers

Answer:

C. The median of Kesley's scores will increase

Step-by-step explanation:

The mode will definitely increase since it will change from 78 to 85

The mean will definitely increase because it will change from 82.6 to 86

The median will increase because it will change from 81 to 83

The range will remain the same Highest - lowest score will not change.

Put the following in order from where you would see the most runoff/least amount of groundwater to the least amount of runoff/most amount of groundwater.
* if you spam, copy and paste = report *

Reorder answers

1.farmland

2.suburbs

3.City

Answers

Answer:

i thinks that its city suburbs farmland

Step-by-step explanation:

I think farmlands would have more groundwater

City must have least ground water as it remains like concrete tree so very less amount of water goes underground

Farm land is convered. by grass as trees so most ground water is present there

Hence the order is

City -Suburds-Farmland

What is the value of x?

Answers

Answer:

-4

Step-by-step explanation:

vertical opposite angles are equal

110=x+114

=-4+114

Answer:

-4 the answer is -4

(20 POINTS PLS HELP!!)

Answers

Answer:

The answer is b.

Step-by-step explanation:

if you look up what a ray is, it will look like the description b has.

D) A line is a set of points that extends infinitely in both directions.

Answer choice A is incorrect because only two points are required to determine a line.

Answer choice B is incorrect because a ray includes one endpoint and one arrowhead that extends infinitely.

Answer choice C is incorrect in reference to the same explanation as answer choice B.

Therefore, answer choice D would be the correct and true statement.

What is the absolute deviation of 16 in this data set?{19, 16, 4, 9, 7}2578

Answers

The absolute deviation of 16 in the given data set, {19, 16, 4, 9, 7}, is: B. 5.

What is Absolute Deviation?

The absolute deviation of a data point in a data set, is the distance of that data point from the mean of the data set.

Find the mean of the data set:

Mean = (19 + 16 + 4 + 9 + 7)/5 = 55/5

Mean = 11

16 - 11 = 5

Therefore, the absolute deviation of 16 is: B. 5.

Learn more about the absolute deviation on:

https://brainly.com/question/17381861

#SPJ2

Answer:

11

Step-by-step explanation:

I took the k12 test hope this helps! :)

Can anyone help me with this question?

Answers

Mode of the data is .10%

Answer:

Its blue!

Step-by-step explanation:

Because most people picked blue. The blue has .35 which is the most out of every other color! Hope this helps

For each ordered pair,solve the percent problems to find the corridinates (x% of 31 is 3.317,4.407 is 39% of y)

Answers

Answer:

x=10.7, y=11300

Step-by-step explanation:

x%of 31 = 3.317

x/100×31=3.317

31x/100=3.317

31x= 3.317×100

x= 3.317 ×100/31

x =10.7

4407= 39% of y

4407= 39/100 × y

4407 =39y/100

4407×100=39y

4407 × 100/39=y

11300=y

Step-by-step explanation:

The volume of this cone is 1,017.36 cubic inches. The radius is 9 inches. What is the height of this cone?

Answers

Answer:

Step-by-step explanation:

The radius of cone = 9 cm

Step-by-step explanation:

Formula : Volume of a cone =  , where r= radius , h= height of the cone.

Given: Volume = 1,017.36 cubic centimeters

h = 12 centimeters

Substitute these values in formula , we get

Hence, the radius of cone = 9 cm

A small theater had 7 rows of 26 chairs each. Workers just removed 9 of these chairs. How many chairs are left?

Answers

Answer:

173

Step-by-step explanation:

7 x 26 = 182.

182 - 9 = 173

Answer:

173 chairs are left

Step-by-step explanation:

7*26 = 182

182-9 = 173

Mark as brainliest please!

HELP PLS
Part A: Bo earned $10 walking his neighbors' dogs on Tuesday. He earned some extra money on Thursday by doing a different chore for a neighbor. Write an expression with a variable that shows the total amount of money Bo earned Tuesday and Thursday.

Part B: Bo was able to walk 2 more than twice as many dogs as his friend Silas. Write an algebraic expression to represent the number of dogs Bo walked compared with Silas

Answers

Answer:

e

Step-by-step explanation:

Part A: 10 + m = t

Extra money earned on Thursday = m

Total money earned = t

Part B: 2x + 2

we have no idea how many dogs silas walked

x = amount of dogs silas walked

uh this one wasn't that good

either way, hope this helped :)

Hey hun!! Part A would be: 10+m=T!!! and part B would be: 2x+2

what color and how many missing the socks is (color and how many)

Answers

Answer:

18

Step-by-step explanation:

i just added how many socks were missing

(250 Points If your right!) Triangle ABC is similar to triangle DEF. Find the measure of side FD. (Round your answer to the nearest tenth PLEASE.)

Answers

Answer:

x=88.09

Step-by-step explanation:

19/11 = x/51

11x=969

x=969/11 or x=88.09

know the answer for this???

Answers

x = 5 makes 2x≤ 10 true but not 2x < 10 because "≤" means less than or equal to, which means 2x would be the same as 10, so 10 ÷ 2 = 5, x = 5.

Answer:

Step-by-step explanation:

2x ≤ 10, when x = 5

2(5) ≤ 10

10 ≤ 10 (10 is less than OR equal to 10)

2x < 10, when x = 5

2(5) < 10

10 < 10 (10 is less than 10) - that is false

x = 5 does not makes 2x < 10 true because 10 can't be less than 10.

Hope this helps!

A CD costs £12 and a T-shirt costs £15, I have £60 to spend. I buy x number of CDs and y number of T-shirts. Write;

A) An expression for the amount of money I spend.

B) An inequality showing the amount of money I spend has to be less than or the same as what I have.

-Can you plot your inequality on a pair of axis?

-Can you use the graph to find the different numbers of CDs and T-shirts I can buy?

Worth 20 points!

Answers

Answer:

A: [tex]12x+15y=60[/tex] B: [tex]12x+15y\leq 60[/tex]

Step-by-step explanation:

Roger gets $40 per day as wages and $4.50 as commission for every pair of shoes he sells in a day. His daily earnings goal is $112.

Write an equation to determine how many pairs of shoes, p, Roger must sell in a day to meet his daily earnings goal.

Find the number of pairs of shoes he must sell to meet his daily earnings goal.

Answers

Step-by-step explanation:

Equation to determine how many pairs of shoes :- S = 40 + 4.5x

Where,

S is Earnings

x is Shoe

⇒ 112 = 40 + 4.5x

⇒ 40 + 4.5x = 112

⇒ 4.5x = 112 - 40

⇒ 4.5x = 72

⇒ 4.5x/4.5 = 72/4.5

⇒ x = 16

[tex]\therefore [/tex] Roger must sell 16 shoes per day to meet his daily earning goal

Rodger must sell a total of 16 shoes

katie uses 2 cups of carrots in a casserole that serves 12 people. how many cups of carrots will she use to server 18 people?

1 cup

1 1/2 cups

3 cups

4 cups

Answers

Answer:

3 cups

Step-by-step explanation:

2/12 = 1/6

1/6 * 3 = 3/18

3 out of 18 cups, so 3 cups.

the correct answer is 3 cups :)

Solve this problem using the part-to-whole method
_____________________________________________________
Sofia went to the bakery and bought 12 cupcakes. Out of the 12 cupcakes, she has 3 chocolate flavored. What is the percentage of chocolate cupcakes?

Answers

This would be 25%.

Reason:

If there are 12 total cupcakes and 3 out of them are chocolate. Then 3/12 cupcakes are chocolate. Simply this fraction to 1/4 -> 1/4 = 25% = .25 etc
Ok here is your answer

can someone help please?

Answers

Answer:

A

Step-by-step explanation:

Because rational numbers always terminate

Look at the screenshot

Answers

Answer:

A: 1.5

B: A = n/1.5

C: This means every bowl you make, you would need 1.5 pounds of clay.

Step-by-step explanation:

A: The constant of proportionality is otherwise known as the slope. The formula for the slope is [tex]y_{2}[/tex]-[tex]y_{1}[/tex] / [tex]x_{2}[/tex]-[tex]x_{1}[/tex] (rise over run.) Lets plug the values in.

4.5-0 = 4.5

3-0 = 3

4.5/3 =1.5

B:

A = n/1.5

C:

The point (1,1.5) is representing the x value, the number of bowls, and the y value, the amount of clay in pounds.

This means every bowl you make, you would need 1.5 pounds of clay.

A worker uses exactly 4 screws and 7 bolts to put a metal desk together. If each metal desk requires the same ratio of screws to bolts, which statement is true?

A)The worker uses exactly 140 screws and 80 bolts to make 20 metal desks.

B)The worker uses exactly 80 screws and 140 bolts to make 20 metal desks.

C)The worker uses exactly 17 screws and 14 bolts to make 10 metal desks.

D)The worker uses exactly 14 screws and 17 bolts to make 10 metal desks.

Answers

Answer:

B

Step-by-step explanation:

screws:bolts

4:7 = 1

80:140 = 20

Jack wants to know how much water a sphere can hold with a diameter of 16 cm. Find the volume. Use 3.14 for pi.

Answers

Answer:

2143.57cm^3

Step-by-step explanation:

here we know the volume of sphere is 4/3πr^3 and the total volume of the sphere is the required capacity of the sphere to hold the water

brainliest if it its right

Answers

Answer:

A = 40 [tex]mm^{2}[/tex]

Step-by-step explanation:

The equation for finding the area of a trapezoid is [tex]A= \frac{a + b}{2}h[/tex].

In this equation, a=4, b=6, h=8.

[tex]A = \frac{4 + 6}{2}8[/tex].

4+6=10
10/2=5
5x8=40

Hope this helps!

Answer:

I think 40mm

Step-by-step explanation:

What is the area of the triangle?

Cannot be determined
96 [tex]cm\\^{2}[/tex]
48 [tex]cm\\^{2}[/tex]
24 [tex]cm\\^{2}[/tex]

Answers

Answer:

24cm^2

Step-by-step explanation:

Base = 8cm

Height= 6cm

Area of a triangle = base*height/2

= 8*6/2

=48/2

=24

please help me I need a lot of help :(

Answers

(3 4/7 - 3/5) x 2/3 = 208/105

3/2 x (3 4/7 - 3/5) = 156/35

That is what your two problems are when simplified.
From there on you can tell what is greater then another.
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