Which of the following statements uses the commutative property of addition?
2 + (3 + 4) = (2 + 3) + 4
2 + (3 + 4) = (2+ 3) + (2 + 4)
2 + (3 + 4) = 2 + (4 + 3)

Answers

Answer 1

The statement 2 + (3 + 4) = 2 + (4 + 3) is the one that uses the commutative property of addition, which states that changing the order of numbers being added does not affect the sum. So correct answer is first option.

The statement that uses the commutative property of addition is 2 + (3 + 4) = 2 + (4 + 3). The commutative property of addition states that the order in which two numbers are added does not change the sum.

This is represented by the equation A+B=B+A. In our specific example, changing the order of 3 and 4 does not affect the sum when added to 2.

This demonstrates the commutative property in a clear manner.


Related Questions

Solve for the indicated variable y=5x-6(x)

Answers

Answer:

x=-y

Step-by-step explanation:

one fifth of a number decreased by 7​

Answers

Let n = the number

(1/5)n - 7

Which formula can be used to describe the sequence below?
-8, -5, -2, 1,4,

Answers

Answer:

add by 3

Step-by-step explanation:

-8+3=-5

-5+3=-2

-2+3=1

1+3=4

Answer:

Step-by-step explanation:

this is a arithmetic sequence   the first term is : A1 = -8

the comon difference is d = -5-(-8) =-2-(-5) =1-(-2) = 4-1 =3

the  formula can be used to describe this sequence is :

An =A1 +(n-1)d

An = -8 +3(n-1)

An = 3n -11

12x +10+3+8x ? What do I have to do ?

Answers

Simplifying

12x + 10 + 3 + 8x = 0

Reorder the terms:

10 + 3 + 12x + 8x = 0

Combine like terms: 10 + 3 = 13

13 + 12x + 8x = 0

Combine like terms: 12x + 8x = 20x

13 + 20x = 0

Solving

13 + 20x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-13' to each side of the equation.

13 + -13 + 20x = 0 + -13

Combine like terms: 13 + -13 = 0

0 + 20x = 0 + -13

20x = 0 + -13

Combine like terms: 0 + -13 = -13

20x = -13

Divide each side by '20'.

x = -0.65

Simplifying

x = -0.65

Answer:

You have to do like terms

Step-by-step explanation:

12x+10+8+8x

12x+8x = 20x

10+3 = 13

your answer would be

20x+10

The points (3,2) and (6, r) lie on a line slope -3. Find the missing cordinate

Answers

[tex]\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{r}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{r}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{3}}}~~=~~\stackrel{\stackrel{slope}{\downarrow }}{-3}\implies \cfrac{r-2}{3}=-3\implies r-2=-9\implies r=-7[/tex]

let f be a linear function such that f(1)=5 and f(3)=9. Find an equation for f(x)

Answers

Answer:

[tex]y = 2x + 3[/tex]

Step-by-step explanation:

First, we can find the slope of the line.

[tex]m = \frac{y1-y2}{x1-x2}\\m=\frac{9-5}{3-1}\\m = \frac{4}{2}=2\\[/tex]

Using the [tex]y = mx + b[/tex] equation, we can solve for b

[tex]9 = 2(3)+b\\9 = 6 + b\\b = 9-6 = 3[/tex]

Let's see if [tex]y = 2x + 3[/tex] works

[tex]2(1) + 3 \\2 + 3 = 5\\\\2(3) + 3\\6 + 3 = 9[/tex]

It checks out!

If f(1)=5 and f(3)=9 we are given two points, so we can use the slope intercept form to find the equation of f(x)

Points:(1,5),(3,9)

Slope intercept form: y2-y1=m(x2-x1)

9-5=m(3-1)
4=m(2)
m=2

f(x)=2x+b Plug in a point and solve for b

5=2(1)+b
3=b

Answer: f(x)=2x+3

six more than twice a number is 24​

Answers

Answer:

Step-by-step explanation:

I would say the answer is 6

6 + 6 than times by two is 24

convert 35 inches into feet​

Answers

Answer:

2.91666667 ft

Step-by-step explanation:

2ft 11in
Or
2.91667(just feet)

can anyone find the measurements of these angles (#7 ONLY THANK U)

Answers

The measure of angle2=m angle 6 (Corresponding angle)
So 3x+28= 5x-30
Subtract both side for 3x
28= 2x-30
Add 30 to both sides
58=2x
So x= 29
Therefore m angle 2= m angle 6= 115•
so m4= 180-115= 65•(supplementary theorem)
m2=m3= 115• (vertical angles)
Keep doing it due to these theorem you will get all the answers.

Does any one know this??

Answers

Answer:

Scalene triangle

Step-by-step explanation:

The correct answer is scalene triangle because this type of triangle has angles of many different sizes or measures ;)

PLEASE DO MARK ME AS BRAINLIEST IF MY ANSWER IS HELPFUL :)

Answer:

B. Scalene Triangle

Step-by-step explanation:

All angles and sides are incongruent, according to the what you see in the triangle.

I am joyous to assist you anytime.

What is 13.56 • 10 to the power of -8

I rlly need this for math tomorrow

Answers

Answer 0.0000001356

Step-by-step explanation:Since the exponent of the scientific notation is negative, move the decimal point

8 places to the left.

A lawyer has an annual income of $173, 482 and will pay a 5.5% income tax rate. What is the amount of income tax in dollars and cents that the lawyer will have too pay?​

Answers

Final answer:

The lawyer with an annual income of $173,482 and a tax rate of 5.5% will pay $9,541.51 in income taxes.

Explanation:

To calculate the amount of income tax that the lawyer needs to pay, we multiply their annual income by the income tax rate. In this case, the lawyer has an annual income of $173,482 and the income tax rate is 5.5%. The calculation would be:

Income Tax = Annual Income × Income Tax Rate

Income Tax = $173,482 × 0.055

Income Tax = $9,541.51

Therefore, the lawyer will pay $9,541.51 in income taxes.

A line is parallel to y = 3x - 12 and
intersects the point (1, -2). What is the
equation of this parallel line?

Answers

Answer:

y=3x-5

Step-by-step explanation:

parallel means that both lines share the same gradient.

from the equation y=3x-12 , we can deduce that the gradient is 3 because it is in the gradient-intercept form

now substitute values into formula

y-y1=m (x-x1)

y--2=3 (x-1)

expand brackets and simplify

y+2=3x-3

subtract 2 from both sides of equation

y=3x-5

2x - 3y = 3
x + 2y = 5
by substitution or elimination

Answers

2x - 3y = 3

x + 2y = 5

In the second equation we have an x-term that has a coefficient of 1 (which means the x is all by itself), so we can isolate that x and solve by substitution.

x + 2y = 5

x + 2y - 2y = 5 - 2y

x = 5 - 2y

The expression 5 - 2y will be substituted for x in the first equation.

2x - 3y = 3

2(5 - 2y) - 3y = 3

Solve for y.

2(5 - 2y) - 3y = 3

10 - 4y - 3y = 3 (distribute the 2)

10 - 7y = 3 (collect like terms)

-7y = -7 (subtract 10 from both sides)

y = 1 (divide both sides by -7)

Substitute 1 for y in the second equation to find x.

x + 2y = 5

x + 2(1) = 5

Solve for x.

x + 2(1) = 5

x + 2 = 5 (multiply)

x = 3 (subtract 2 from both sides)

Always check your work. Substitute into the original system.

2x - 3y = 3

2(3) - 3(1) = 3

6 - 3 = 3

3 = 3

x + 2y = 5

3 + 2(1) = 5

3 + 2 = 5

5 = 5

Answer:

x = 3 and y = 1; (3,1)

551.985 in expanded notation

Answers

Answer:

(5 x 100) + (2 x 50) + (1 x 1) + (9 x 0.10) + (8 x 0.01) + (5 x 0.001)

Answer:

(5 x 100) + (1 x 50) + (1 x 1) + (9 x 1/10) + (8 x 1/100) + (5 x 1/1000)

step by step explanation:

500 + 50 + 1 + 0.9 + 0.08 + 0.005

= 551.985

You are playing basketball with your friends. The height (in feet) of the ball above the ground t seconds after a shot is released from your hand is modeled by the function f(x)=-16^2 + 32t + 5.2

Answers

Answer:the ball is released when t = 0

The ball is 5.2 feet above the ground when it is released

The ball is 5.2 feet in height from the ground and it will hit the ground after 2 seconds.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

Given the function has height with time t

f(x)=-16t² + 32t + 5.2

At the time of release, the value of time t will be 0

So, t = 0

f(x) = 0 + 0 + 5.2 ⇒ f(x) = 5.2 feet

So height is 5.2 feet

Now,

The time taken to cover this height will be

5.2 = 16t² + 32t + 5.2

16t² + 32t = 0

16t(t + 2) = 0

t = 0 and -2

Since if some height exists then time can never be 0 and time also does not exist in negative so consider 2.

Hence "The ball is 5.2 feet in height from the ground and it will hit the ground after 2 seconds.

For more about the function,

brainly.com/question/23712366

#SPJ2

4.) At a school fundraiser for every 9 boxes of
chocolate sold you earn 6 points. If you were
to sell 33 boxes, how many points would you
have earned?​

Answers

22 points. For every 9 boxes, you’re reworded with 6 points for the total of 9boxes. 33 boxes divided by 9=3.7*2 which is 22

Liam bought a comic book and had $5 left. If he had a total of $8 walking into the store, how much did he spend on the comic book?

Liam used the equation 5x=8 to model the problem. He said that x represents the amount of money he spent. Liam said that the solution, x=1.6, means that he spent $1.60. Is he correct? Why or why not? If he is incorrect find the correct answer showing your work.

Pls Help Me

Answers

Answer: The comic book was $3.

Step-by-step explanation:

Instead of 5x=8, it should have been 5+x=8 because he only purchased a single comic book. Subtract 5 from 8 and your X value is 3.

Answer:

Liam spent $3 on the book.

Step-by-step explanation:

Liam bought a comic book and had $5 left.

He had a total of $8 walking into the store, so he spent [tex]8-5=3[/tex] dollars on the comic book.

Liam used the equation 5x=8 to model the problem.

This is wrong. The correct form would have been [tex]8-x=5[/tex] or [tex]5+x=8[/tex] where x represents the amount of money he spent.

Hence, Liam spent $3 on the book.

15 POINT PLZ HURRY a kitchen measures 24 1/6 feet by 9 2/3 estimate the area of the kitchen
show work plz

Answers

Answer:

223 11/8 ft squared

Step-by-step explanation:

i made an improper fraction first then multiplied the numerators together and the denominators together and got 4205/18 then i simplified and got 233 11/18

145  x  29   =  4205  =  233 11/18

 6        3            18

-9x-6y=15,9x-10y=145

Answers

-9x-6y=15

9x-10y=145

Find y first by eliminating the x.

Add the two equations together.

-9x+9x-6y+-10y=15+145

-6y+-10y=15+145

-6y-10y=160

-16y=160

divide both sides by -16 to get +y

-16y/-16=160/-16

y=-10

Use the substitution method to find x

-9x-6y=15

-9x-6(-10)=15

Do the bracket first

-9x+60=15

Move +60 to the other side. Sign changes from +60 to -60.

-9x+60-60=15-60

-9x=-45

Divide both sides by -9

-9x/-9=-45/-9

x=5

Answer:

( 5,-10)

SOLVE FAST BRAINLIEST ASAP

Y-9=41

Answers

Answer:

Y = 50

Step-by-step explanation:

Solve for Y:

Y - 9 = 41

Add 9 to both sides:

Y + (9 - 9) = 9 + 41

9 - 9 = 0:

Y = 41 + 9

41 + 9 = 50:

Answer:  Y = 50

Answer:

Y=50

Step-by-step explanation:

First you have to know that whatever you do to one side of the equal sign you must do to the other. Now you want to try and get rid of the 9 so you can separate the variable.

Y-9=41

+9 +9

Y = 50

SUBTRACT

(−2x4−2x3+8x2+2)−(x4−5x3+2x+7)



Enter your answer, in standard form, in the box.

Answers

Answer:

[tex] -3x^{4} + 3{x}^{3} + 8{x}^{2}- 2x - 5[/tex]

Step-by-step explanation:

To avoid confusion, distribute the negative amongst all terms in the second set of parentheses.

I hope this helps you out alot, and as always, I am joyous to assist anyone at any time.

Based on the calculations, the solution to the expression is [tex]-3x^4+3x^3+8x^2-2x-5[/tex]

What is the distribution property of multiplication?

The distributive property of multiplication states that when the sum of two (2) or more addends are multiplied by a given numerical value or factor, the same output would be produced as when each addend is multiplied respectively by the numerical value or factor, and the products are added together.

Based on the information provided above, we have this expression:

[tex](-2x^4-2x^3+8x^2+2)-(x^4-5x^3+2x+7)[/tex]

By applying the distributive property of multiplication to the given expression, we would open the parentheses by distributing the negative sign as follows:

[tex]-2x^4-2x^3+8x^2+2-x^4+5x^3-2x-7\\\\-3x^4+3x^3+8x^2-2x-5[/tex]

Read more on distributive property here; brainly.com/question/24014491

#SPJ3

Complete Question:

SUBTRACT

[tex](-2x^4-2x^3+8x^2+2)-(x^4-5x^3+2x+7)[/tex]

Enter your answer, in standard form, in the box.

What happened on September 11, 2001?

Answers

Answer:

On 11 September 2001 (known as 9/11 in America), Islamist extremists hijacked four planes that were flying above the US. Two of them were flown into the twin towers of the World Trade Center in New York. Another was crashed into the Pentagon, the top military building in the capital city, Washington DC.

Step-by-step explanation:

Answer:

On the morning of September 11, 2001, 19 al-Qaeda terrorists hijacked four commercial passenger jet airliners, intentionally crashing two into the World Trade Center in New York City. The hijackers crashed a third airliner into the Pentagon. The fourth plane crashed in a field near Shanksville, Pennsylvania.

Hope this helps :)

HELP WITH THE ONES CIRCLED PLEASE HELP ASAP

Answers

Answer:

4. as they move clockwise they change/gain .01 points

5. .32 , .33 , .34 , .36 , .37 , .39

.8 , .81 , .83 , .85 , .86 , .88

Step-by-step explanation:

There was 5/8 of pie left in the fridge. Daniel are 1/4 of the leftover pie. How much of pie did he have?

Answers

Answer:

he had 1/4 of the pie; there's 3/8 left over. That's also 37.5% of the pie left over. Not sure what you're trying to get.

Step-by-step explanation:

1/4 is also 2/8

how do you solve 2i and 2ii​

Answers

Answer:

15 and 21

Step-by-step explanation:

Given the n th term formula

T = 2n + 5

To find the 5 th and 8 th terms substitute n = 5 and n = 8 into the formula

[tex]T_{5}[/tex] = (2 × 5) + 5 = 10 + 5 = 15

[tex]T_{8}[/tex] = (2 × 8) + 5 = 16 + 5 = 21

Given:

Tn = 2n+5

`The fifth term, i.e., n=5

Substituting the value inside the formula we get,

2(5) + 5 => 10 + 5 => 15

   2.  The Eighth term, i.e., n=8

Substituting the value inside the formula we get,

2(8) + 5 => 16 + 5 => 21

Allen Barry deposited checks
totaling $1,584.19 into his savings
account. He withdrew $96.00 while
depositing some loose change. Allen's
total deposit was $1,530.24. How much
did he deposit in loose change?​

Answers

The answer for this is 42.05

Answer:

$42.05

Step-by-step explanation:

Take $96.00 from 1,584.19 to figure out how much he had before he deposited

1,584.19 - 96 = 1,488.19

Now take away what he had after he took 96, to after he added.

1,530.24 - 1,488.19 = 42.05

Allen deposited $42.05

What is the equation for the line that passes through the points (-5, 2) and (5,-6)?​

Answers

Answer:

4x + 5y = -10 or y = -⅘x - 2

Step-by-step explanation:

First, find the rate of change [slope]:

-y₁ + y₂\-x₁ + x₂ = m

[tex] \frac{ -2 - 6}{5 + 5} = - \frac{8}{10} = - \frac{4}{5} [/tex]

Then use the Point-Slope Formula since we are given points. Now, according to this formula, all negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful inserting the coordinates into the formula with their CORRECT signs. It does not matter which one you choose:

y - y₁ = m(x - x₁)

y + 6 = -⅘(x - 5)

y + 6 = -⅘x + 4

- 6 - 6

_______________

y = -⅘x - 2

If you want it in Standard Form:

y = -⅘x - 2

+x +⅘x

___________

⅘x + y = -2 [We do not want fractions in our Standard Equations, so multiply by the denominator to get rid of it.]

5[⅘x + y = -2]

4x + 5y = -10 >> Line in Standard Form

__________________________________________________________

y - 2 = -⅘(x + 5)

y - 2 = -⅘x - 4

+ 2 + 2

______________

y = -⅘x - 2

y = -⅘x - 2

+x +⅘x

___________

⅘x + y = -2 [We do not want fractions in our Standard Equations, so multiply by the denominator to get rid of it.]

5[⅘x + y = -2]

4x + 5y = -10 >> Line in Standard Form

** You see? I told you that it would not matter which ordered pair you choose because you will always get the exact same result!!!

I am joyous to assist you anytime.

PLEEASSSSEEEE HHEEEEELLLLPPPPPPPP !!!!!!!!!!!!!!!!!!!!!!!!!!! Circle R is shown. Line segments Q R and S R are radii. The length of Q R is 18. Sector Q R S is shaded. The measure of central angle QRS is StartFraction 8 pi Over 9 EndFraction radians. What is the area of the shaded sector? 36Pi units squared 72Pi units squared 144Pi units squared 324Pi units squared

Answers

Answer:

[tex]144\pi\ un^2.[/tex]

Step-by-step explanation:

In the attached diagram, circle R is shown. Line segments QR and SR are radii and QR = SR = 18 units.

The measure of the central angle QRS is [tex]\dfrac{8\pi}{9}[/tex]

1. Find the area of the whole circle:

[tex]A_{circle}=\pi r^2=\pi \cdot 18^2=324\pi \ un^2.[/tex]

2. Note that the whole circle is determined by the full rotation angle with measure [tex]2\pi[/tex] radians. So,

[tex]\begin{array}{cc}\text{Angle}&\text{Area}\\ \\2\pi &324\pi \\ \\\dfrac{8\pi }{9}&A_{sector}\end{array}[/tex]

So, write a proportion:

[tex]\dfrac{2\pi}{\frac{8\pi}{9}}=\dfrac{324\pi}{A_{sector}}[/tex]

Cross multiply

[tex]2\pi \cdot A_{sector}=324\pi \cdot \dfrac{8\pi }{9}\\ \\A_{sector}=162\pi \cdot \dfrac{8}{9}=144\pi\ un^2.[/tex]

Answer:

144

Step-by-step explanation:

I need the answer for number 6 please:)

Answers

Answer: 12.5

25 / 2 = 12.5

and so does

25 x .50 = 12.5

We are just cutting the price in half, or 50%.

Hope this helps you!

Other Questions
The southern part of Ancient Egypt was called(Lower Egypt/Upper Egypt) Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes. x+y=6 The common denominator of 5/6-2/7 What is the correct term for a set of established guidelines for actions (which may be designated by individuals, teams, functions, or capabilities) under various specified conditions? the pressure of a gas constant temperature is increased by a factor od 4 by what factor does the volume change1/41/214 Find x please!!!!!!!!! Simplify: 7 exponent9 7 exponent3 The native structure of proteins has only marginalthermodynamicstability.Describe (3) treatments or reagents which denature proteins.Howdoes each work? alan walker alone vs marshmello alone which is better 100 points On your wedding day, you leave for the church 25 minutes before the ceremony is to begin. The church is 8 miles away. On the way, you have to make an unanticipated stop for construction work. As a result, your average speed for the first 15 minutes is only 7 miles per hour. What average speed in miles per hour do you need for the rest of the trip to get to the church in time Time and weather Write a program to take as input and 4-digit number from the user. The first two digits represent the day of the month and the last two digits represent the month of the year. The program should then display the following: "It's winter" if the month entered is 12, 1 or2 . "It's Spring" if the month entered is 3, 4, or 5 "It's Summer", if the month entered is 6,7, or 8 "It's Fall", if the month entered is 9, 10, or 11 The program should also display the current week number of the month The use of _____ will probably lead to better recall of words when participants in a memory study are presented with words that belong to one of four categories (e.g., insects, beverages) instead of being presented with words that have no apparent relationship to one another. What is antigenic variation and how is it beneficial to pathogens? Give an example of two pathogens that demonstrate antigenic variation. On November 1, 2018, Quantum Technology, a geothermal energy supplier, borrowed $22 million cash to fund a geological survey. The loan was made by Nevada BancCorp under a noncommitted short-term line of credit arrangement. Quantum issued a nine-month, 9% promissory note. Interest was payable at maturity. Quantums fiscal period is the calendar year. Required: 1. Prepare the journal entry for the issuance of the note by Quantum Technology. 2. & 3. Prepare the appropriate adjusting entry for the note by Quantum on December 31, 2018 and journal entry for the payment of the note at maturity. Adam bought a $1,670 custom video game/sound system on a special no interest plan. He made$100 down payment and agreed to pay the entire purchase off in 1 and half years. The minimum monthlypayment is $10. If he makes the minimum monthly payment up until the last payment, what will bethe amount of his last payment? What is the solution to the equation 3/7(x+3)+5=3x+2? The percent increase in Americans in prison for drug related offenses from 1980 to 2015 was 1048%. In 1980 the number of Americans in prison for drug related offenses was 40,900. How many American's were in prison for drug related offenses in 2015? Write a C++ program that will convert distance measurements from miles to kilometers. Specifically, the program needs to convert 0, 10, 20, 30, 40 , 50, 60, 70, 80, and 90 miles to kilograms displaying both the number of miles and the number of kilograms on the same line. Solve 6+2x^2-3x=8x^2 Two parallel lines are intersected by a third line so that angles 1 and 5 are congruent. 2 parallel horizontal lines are intersected by a third line. On the first horizontal line where the third line intersects, 4 angles are created. Labeled clockwise, from uppercase left, the angles are 1, 2, 4, 3. On the second horizontal line, where the third line intersects, 4 angles are created. Labeled clockwise, from uppercase left, the angles are 5, 6, blank, blank. Which statement is true about angles 3 and 5? They are acute. They are congruent. They are complementary. They are supplementary.