Which operations are commutative and associative?

Answers

Answer 1

Answer:

Step-by-step explanation:

if there are two numbers a and b.then

1. a+b=b+a ,commutative under addition.

2. ab=ba,commutative under multiplication.

If there are three numbers a,b,c then

1. a+(b+c)=(a+b)+c,associative under addition.

2.

a×(b×c)=(a×b)×c ,associative under multiplication.

Answer 2

Answer: Addition and multiplication :)


Related Questions

What is the value of p?

Answers

Answer:

p = 50°.

Step-by-step explanation:

To find the value of 'p', we will need to solve for the measure of the other angles of the triangle using the Supplementary Angles theorem.

Notice 140° at the top of the figure. This angle is supplementary to the top angle of the triangle. We can find this angle by:

180 - 140 = 40°.

Repeat this same step for the other angle.

180 - 90 = 90°.

Since the sum of all 3 sides = 180, we must subtract these from 180 to get the measure of 'p'.

180 - 90 - 40 = 50°.

Therefore, p = 50°.

Which set of data could have been used to create the stem-and-leaf plot shown below?
64, 79, 95, 83, 81, 90, 67, 86, 91, 84, 81, 69, 83, 92

6.4.7.9. 9.5, 8.3, 8.1, 9.0.6.7.8.6, 9.1, 8.4, 8.1,6.9, 8.3, 9.2

63,79,95, 83, 81, 90, 67, 86, 91, 84, 81, 69, 83, 92

6.3.7.9. 9.5, 8.3, 8.1, 9.0, 6.7.8.6, 9.1, 8.4, 8.1, 6.9. 8.3, 9.2

Answers

so I think the the answer C or 3

Human:

✧・゚: *✧・゚:*  Answer:  *:・゚✧*:・゚✧

✅ D.) 6.3.7.9. 9.5, 8.3, 8.1, 9.0, 6.7.8.6, 9.1, 8.4, 8.1, 6.9. 8.3, 9.2

I WOULD APPRECIATE BRAINLIEST!

~ ₕₒₚₑ ₜₕᵢₛ ₕₑₗₚₛ! :₎ ♡

~

Determine the value of z in the figure answers: z = 50° z = 45° z = 10° z = 30°

Answers

Answer:

z = 10°

Step-by-step explanation:

Since the two sides are equal, the two base angles have to be equal

That means that 5z and 130 form a straight line and add to 180 degrees

5z+130 = 180

Subtract 130 from each side

5z = 50

Divide by 5

5z/5 = 50/5

z=10

1a) What is the side length of the following square? *


Answers

Answer:

4 unit cubes

Step-by-step explanation:

Answer:

Exact: 2sqrt(5)

Approximate: 4.472

Step-by-step explanation:

The side of the square is the hypotenuse of a right triangle with legs of lengths 2 and 4.

c^2 = a^2 + b^2

c^2 = 2^2 + 4^2

c^2 = 4 + 16

c^2 = 20

c = sqrt(20)

c = sqrt(4 * 5)

c = 2sqrt(5) = 4.472

What is unique about an equilateral triangle? *

Answers

Answer:

Option A

Step-by-step explanation:

An equilateral triangle's sides are equal to each other, and all their angles are equal.

The best option is A.

What makes the other answers wrong:

All angles in a equilateral triangle are 60° each. They are not obtuse.

All three angles of a equilateral triangle are congruent. Again, they all measure 60° each.

All sides of a equilateral triangle are congruent.

Determine the value of z in the figure answers: z = 40° z = 90° z = 20° z = 45°

Answers

Answer:

20 degrees

Step-by-step explanation:

This is a linear pair, whose sum always equals 180 degrees,

hence, we can set up the equation:

2z+140=180

2z=180-140

2z=40

z=40/2

z=20

Thus, the answer is 20 degrees

Answer:

z = 20°

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

2z+ 140 = 180

Subtract 140 from each side

2z+140-140 = 180-140

2z = 40

Divide by 2

2z/2 = 40/2

z = 20

I put in 6.32 for A but it’s still saying it’s wrong and I need the √ , I only need to answer this right to pass my summer school class someone please help me !

Answers

Answer:

A = 2 (on the left). 10 (on the right)

Step-by-step explanation:

Use pythgaros therom

Do 7^2 - 3^2 = 40

Do square root of 40 which equals the answer

−7/8 −(−5/6) ​ in simplest form

Answers

Answer:

-1/24

Step-by-step explanation:

-7/8 - (-5/6)

Subtracting a negative is like adding

-7/8 + 5/6

Get a common denominator

-7/8 * 6/6    + 5/6 *8/8

-42/48 + 40/46

-2/48

-1/24

Solve.

-6x - 4y = -32
-2x + 7y = 6

A. (5, 3)

B. (5, 2)

C. (4, 3)

D. (4, 2)

Answers

Answer:

D

Step-by-step explanation:

-6x=4y-32

x=(2(2y-16))/-6

x=(2y-16)/-3

x=(-2/3)*y+16/3

solve for y:

-2((-2/3)*y+16/3)+7y=6

(4/3)y+21/3y+(-32/3)=18/3

(25/3)y=(18+32)/3

(25/3)y=50/3

25y=50

y = 2

solve for x:

-6x - 4y = -32

-6x - 8 = -32

-6x = -24

x = 4

answer: (4, 2)

what are their means and extremes of the following proportion

Answers

Answer:

a and d are extremes b and c are means

Step-by-step explanation:

[tex]\frac{a}{b} =\frac{c}{d}[/tex]

another way to write the equality of the two ratios is :

a : b = c : d

as you can see in the equality a : b = c : d

a and d are extremes b and c are means

What is the common ratio for this geometric sequence? 64, 16, 4, 1, … A. B. 4 C. D. 8

Answers

Answer:

1/4

Step-by-step explanation:

Each term is a fourth of the term before.

So, each term is the previous term multiplied by 1/4

Answer:

1/4

Step-by-step explanation:

For every 4 hours of babysitting, Sam charges $30. If last month she earned $75, how many hours did she babysit ?​

Answers

10 hours. she babysat for 10 hours.

Answer:

10

Step-by-step explanation:

In the Metric System: As you move from a smaller unit to a larger unit, the number of larger units required will be LESS. Therefore the decimal point will always move to the LEFT when you want to make a number smaller because the unit is larger. is it true or false?

Answers

Answer:

True

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Did it on edge2020

Solve the following equation. Then place the correct number in the box provided.

7x=84

x=?

Answers

Answer:

7x=84

divide by 7

12=x

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

We are looking for the value of x. To find this, we must isolate x on one side. To do this, we can divide by 7 on both sides, leaving us with x=12.

Christian created a model
of his truck using a scale of
1 inch : 36 inches. If the length
of his actual truck is 250.4
inches, how long is his model,
rounded to the nearest inch?

Answers

Answer:

7 inches

Step-by-step explanation:

250.4/36= 6.955555 rounded to nearest inch is 7

Simplify sqrt of 75x^6y^11 to the form a sqrt of b

Answers

Answer:

2121221

Step-by-step explanation:

I need help ASP on this

Answers

Answer:

2l + 2w is the formula for perimeter. l = 2w + 6 can be written as "the length is 6 feet more than two times its width."

The answer is B.

Answer:

B

Step-by-step explanation:

In the triangle below. 15 represents which ratio?
А
15
B
00
17
C
o tan
O tano
sin B
COS

Answers

Answer:

tanB

Step-by-step explanation:

In the picture attached, the question is shown.

By definition:

tan(β) = opposite/adjacent

From the picture, for angle B the opposite side measure 8 units and the adjacent side measures 15 units. Replacing into the equation:

tan(B) = 8/15

Isabella wants the distribution of money spent on advertising to match the distribution of profit gained from each product. If
Isabella has a budget of $22.5 million, how much should she allocate for ads for peripherals, to the nearest hundred thousand
dollars?
a. $9.7 million
b. $7.3 million
c. $4.1 million
d. $2.2 million

Answers

The company's profit in the year 2003 is $3.1 million

What is profit?

Profit is stated as the amount of revenue generated after deduction of all the liabilities. Profit is the money you have left after paying for business expenses. There are three main types of profit: gross profit, operating and net profit.

Given that,

in the year 2000 profit = $2.2 million

Each year increase in profit = 13% =0.13

Total number of year = 2003-2000=3 years

Profit is denoted by

profit = initial profit ( 1 + each year increase)^years

Substituting the values we get

profit=2.2( 1 + 0.13)³

=2.2( 1.13)³

=3.174373

=3.1 million

Therefor , the company's profit in the year 2003 is $3.1 million

Learn more about Profit here

brainly.com/question/19161495

#SPJ7

Answer: Its C

Step-by-step explanation: I got it right

Can some text me and help me with all my e2020
Will be Marked brainliest and extra points
A. Yes
B. No do it your self

Answers

Answer:

idk what an e2020 is ....... education2020?????? and i cant give out my number bc ppl  can see here on brainly

A restaurant has 75% of its tables being used. Which ratio compares the used tables with all the tables in the restaurant? A. 50:100 B. 25:75 C. 25:100 D. 15:20

Answers

Answer:

D

Step-by-step explanation:

It would 75:100

We then can simplify that by dividing by 5 so we get

15:20

Answer: 15:20

Step-by-step explanation:

75% tables are used out of 100%

The ratio will be 75:100 = 15:20

Prove that for any natural n the number 3^(n+4)−3n is divisible by 16.

Answers

Answer:

Step-by-step explanation:

Prove that for any natural number 3^(n+4)-3n is divisible by 16.

(I'm going to assume that you mean 3^(n+4)-3^n.)

1. We can break up 3^(n+4)-3n into 3^n * 3^4-3^n (by the rule a^b*a^c = a^b+c).

2. Solve to get 3^n * 81 - 3^n

3. Factor out the 3^n, and you'll get 3^n(81-1), and simplify: 3^n(80)

        You may notice that 80 is divisible by 16.

4. Rewrite what we got from the last step as: 3^n*5(16).

Hope this helped you!

The proof that any natural number n in (3ⁿ⁺⁴ - 3ⁿ) is divisible by 16 is; it was simplified to 3ⁿ × 5

What is the proof that the number is divisible?

We want to show that show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.

This is; (3ⁿ⁺⁴ - 3ⁿ)/16

From laws of indices, we know that;

aᵐ⁺ⁿ = aᵐ × aⁿ.

Thus; 3ⁿ⁺⁴ can be expressed as 3ⁿ × 3⁴.

Thus; (3ⁿ⁺⁴ - 3ⁿ)/16 is;

((3ⁿ × 3⁴) - 3ⁿ) = 3ⁿ((81 - 1)/16)

3ⁿ(80/16) = 3ⁿ × 5

The expression has been fully simplified to show that any natural number n in (3ⁿ⁺⁴ - 3ⁿ) is divisible by 16.

Read more about proof of numbers at; https://brainly.com/question/10657323

-7n2 + 5n + 2 = 0
Find the discriminant of each quadratic equation then state the number and type of solutions.

Answers

Answer:

Step-by-step explanation:

D=5^2-4*(-7)*2

D=25+56

D=81

two real rational solutions, since 81 is a perfect square

each ice cream cone cost $100. Students get 5 1/2 and seniors get 7 1/2. how much more does seniors get?

Answers

Answer:

2

Step-by-step explanation:

7 1/2 - 5 1/2

7.5 - 5.5

2

Given the information in the diagram, which theorem best
justifies why lines e and f must be parallel?
alternate interior angles theorem
same side interior angles theorem
converse of the alternate interior angles theorem
converse of the same side interior angles theorem

Answers

Answer:

its D

Step-by-step explanation:

Just did the test. Goodluck

Answer:

d

Step-by-step explanation:

ABCD is a quadrilateral. Three of the angles of ABCD measure 100°, 87, and 106°, respectively. Find the measure of the
missing angle
A. 67
B. 74°
C. 80
D. 870

Answers

Answer:

A

Step-by-step explanation:

The angles in a quadrilateral add up to 360 degrees.

100 + 87 + 106= 293

360 - 293 = 67

The missing angle is 67°.  (A)

EVERY quadrilateral has four inside angles that add up to 360°.  It doesn't matter whether the quadrilateral is the size of a strep bacterium or the size of a galaxy. The inside angles always add up to 360°. It's a quadrilateral thing.

In this question, the first three angles add up to (100°+87°+106°) = 293°.

From there, it takes 67° more to get to 360°, so that's what the fourth angle has to be.

I need help please!!!!!!!

Answers

Answer:

m = 1 and c = 3

Step-by-step explanation:

y = mx + c

so comparing with y = x + 3

m = 1 ( since there isn't any co-efficient of x)  and c = 3

john gave brandon five dollars and 13 cents now he has 25 dollars how much did he have

Answers

Answer:
Brandon originally had $19.87

Explanation:
To find out how much Brandon originally had we need to subtract 25 from 5.13.

25 - 5.13 = 19.87

So, he originally had $19.87.

Given the speeds of each runner below, determine who runs the fastest.
Ron runs 8 feet per second.
Liz runs 104 feet in 7 seconds.
Katie runs 1 mile in 526 seconds.
Emily runs 835 feet in 1 minute.

Answers

Answer:

Liz

Step-by-step explanation:

lets make all speeds ft/1sec

Ron 8ft/1sec

Liz 104ft/7sec : 104/7=

14.8571428571 ft/1 sec

Katie

1 mile = 5280ft

5280ft/526sec

5280/526=

10.0380228137ft/1 sec

Emily,

1 min= 60 sec

835ft/60 sec

835/60=

13.9166666667 ft/sec

now, lets order from least to greatest

R:8ft/1sec, K:10.0380228137ft/1 sec,

E:13.9166666667 ft/sec, L:14.8571428571 ft/1 sec

Liz's speed is fastest

How many roots does (x+10)^9 have. Please explain how u did it.

Answers

Answer:

This expression contains a one root  (x= -10) of multiplicity 9

Step-by-step explanation:

Notice that this polynomial is given in factor form, since it is equivalent to 9 products of the same factor (x+10):

[tex](x+10)^9=(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)[/tex]

Therefore, there is a single root x = -10, since when x=-10 each of these binomial factors result in a zero.

In mathematical terms, such type of root is said to have multiplicity. And in this case, the multiplicity is "9" (the number of equal binomial factors of the polynomial form).

Answer:

9

Step-by-step explanation:

(x+10)^9 is the 9-degree polynomial so it has 9 roots

if it is equal to zero then it has 9 equal roots of x= -10

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At 5:00 p.m., Antonio turned on the oven. While the oven preheated, the temperature in the oven increased from 72F to 400F over a 10-minute period. The oven remained at 400F for 45 minutes until Antonio turned it off. It took 60 minutes for the temperature in the oven to cool, returning to 72F at 6:55 p.m. Which statement best explains whether or not the temperature in the oven is a function of the time?A. It is a function because at any given time the oven was exactly one temperature.B. It is a function because the oven temperature was the same at different times.C. It is not a function because at any given time the oven was exactly one temperature.D. It is not a function because the oven temperature was the same at different times. Find the sum of ( 1- 1/n) + (1 - 2/n) + ( 1 - 3/n)...upto n terms In what year was gun ownership highest?1990198619962000 What are the solutions of the system 7x + 3y = -3 and y = -2x? 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