Which set of numbers are closed under addition?

Answers

Answer 1

The set of integers is closed under the operation of addition because the sum of any two integers is always another integer and is therefore in the set of integers.

What are integers ?

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14, .

According to the Property of Closure, A set has the closure property under a particular operation if the result of the operation is always an element in the set. If a set has the closure property under a particular operation, then we say that the set is “closed under the operation.”

Hence , the set of integers is closed under the operation of addition because the sum of any two integers is always another integer and is therefore in the set of integers.

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Related Questions

a class of 225 students,80 of them study Arabic only and 125 study french only. How many study both subjects.(venn diagram)

Answers

125+80=205
225-205=20
20 students study both subjects

Answer:

Step-by-step explanation:

225-80=145

145-125=20

Here's a problem for you to try.
Find the sum and express it in simplest form.
(2x² + 3x - 4) + (x²-x-2)
Enter the correct answer.
OOD
DONE
Clow all
ĐOO

Answers

3x^2 + 2x - 6

Just add the same terms together. You don’t need to do anything else in this question.

HELP HELP HELPPPPP PLEASEEE

Answers

Answer:

Step-by-step explanation:

1/2f

Answer:

the first option

Step-by-step explanation:

Urban rail systems have been proposed to alleviate traffic congestion, but results in many cities have been cited as evidence that this approach to traffic management is ineffective. For example, a U.S. city that opened three urban rail branches experienced a net decline of 3,100 urban rail commuters during a period when employment increased by 96,000. Officials who favor urban rail systems as a solution to traffic congestion have attempted to counter this argument by noting that commuting trips in that city represent just 20 percent of urban travel.
The response of the officials to the claim that urban rail systems are ineffective is most vulnerable to criticism on the grounds that it
A) presents no evidence to show that the statistics are incorrect
B) relies solely on general data about U.S. cities rather than data about the city in question
C) fails to consider that commuting trips may cause significantly more than 20 percent of the traffic congestion
D) fails to show that the decline in the number of urban rail commuters in one U.S. city is typical of U.S. cities generally
E) provides no statistics on the use of urban rail systems by passengers other than commuters

Answers

Answer:

C) fails to consider that commuting trips may cause significantly more than 20 percent of the traffic congestion

Step-by-step explanation:

The correct option is - C) fails to consider that commuting trips may cause significantly more than 20 percent of the traffic congestion

Reason -

Option A is incorrect because the statistics can not be incorrect.

Option B is incorrect because they are not talking about the city.

Option C is correct because Urban rail reduces congestion.

Option D is incorrect because the opposers cited the example of one city and the supporters are presenting evidence in the case of that city itself.

Option E is incorrect because they are providing an explanation for why the commuters data given by opposers is not relevant. The opposers talked about commuters.

Solve for g. Make sure to use scrap paper to show your work.

( 144 + 6 x 8 ) ÷ 3 = g

Answers

Answer:

g=64

Step-by-step explanation:

(144+6×8)÷3=g

144+48/3=g

192/3=g

64=g

g=64

Answer:

g = 64

Step-by-step explanation:

(144 + 6 * 8) / 3 = g

g = (144 + 6 * 8) / 3

g = (144 + 48) / 3

g = 192 / 3

g = 64

The average speed of an airplane is 550 miles per hour.
Create an equation to represent the distance, d, in miles, that the airplane travels after t hours at the average speed.

Answers

Answer:

3300mi ÷ 550 mi/hr =6 hours

give me brainly or heart if it helped!

The radius of the Ferris wheel is shown. Which is the circumference of the Ferris wheel, rounded to the nearest foot?

Answers

Answer:

785 ft

Step-by-step explanation:

Please find attached an image of the Ferris wheel used in determining the answer to this question

The circumference of a circle can be described as the linear distance round the circle

The circumference of a circle = 2nr

n = 3.14

r = radius

2 x 3.14 x 125 = 785 ft

Please help, my computer is about to die and this is due in a few minutes. Will mark brainlist if correct

Answers

Answer:

x = 1.5

Step-by-step explanation:

Here, we want to get what x is

To arrive at the answer for x, we are going to use an important circle theorem equation

We have this as;

lh^2 = lj * lk

from the question;

lh = 1

lj = 0.5

lk = (0.5 + x)

Thus;

1^2 = 0.5(0.5 + x)

1 = 0.25 + 0.5x

0.5x= 1-0.25

0.5x= 0.75

x = 0.75/0.5

x = 1.5

i need help with sum of my algebra hw assignments

Answers

Answer:

Step-by-step explanation:

Those lines both make up the tip of the triangle figure...

Solve for x. The triangles in each pair are similar.

Answers

Answer:

...............................

2\0.1 x 10\10 = it would help me a lot

Answers

Answer:

The answer is1 thank you

HELP WILL GIVE BRainlist 20 points

Answers

Answer:

11. x = 5

12. x = 24

Step-by-step explanation:

11.

8x° + 140° = 180°

(Linear pair angles)

8x° = 180° - 140°

8x° = 40°

x ° = 40°/8

x° = 5°

x = 5

12.

2x° + 42° = 90°

(complementary angles)

2x° = 90° - 42°

2x° = 48°

x ° = 48°/2

x° = 24°

x = 24

PLEASE GIVE ME A GOOD ANSWER FOR THIS PAGE THIS WILL BE 25 PT AND HOPEFULLY IF SOMEONE IS NICE ENOUGH to put a second answer so I can give a brainliest ^-^

Answers

Answer:

Wait where's the question?

someone please help me

Answers

The answer to your question is B

If the interest 4,000 for 4 years is 1,280 what is the interest rate

Answers

Answer:

For example, with a $4,000 deposit and an annual interest rate of 8 percent, the simple interest after four years would be $1,280. This is calculated by multiplying the principal (P) by the rate (R) and by the rate of time (T): 4,000 x 0.08 x 4 = 1,280.

Step-by-step explanation:

I hope the answer help you

First correct answer will get Brainliest - due today

Dora has three candles, which will burn for 3, 4 and 5 hours, respectively. If she wants to keep two candles burning at all times, what is the greatest number of hours she can burn the candles? (Dora has a clock that she can use to time the candles.)

Answers

Answer:

3 hrs 38.2 min, Candle 2 will be three times the length of candle 1

Step-by-step explanation:

If Dora burns candles that burn for 4 and 5 hours they burn for 9 hours combined one after another.

What are permutation and combination?

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

here,
Dora has three candles, which will burn for 3, 4, and 5 hours,
The combination of the hours of burning,
3 + 4 = 7 hours
4 + 5 = 9 hours
3 + 5 = 8 hours

Thus, if Dora burns candles that burn for 4 and 5 hours they burn for 9 hours combined one after another.

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**EASY**

Determine the intercepts of the line -

2x + 5y = -6

Y-intercept: (_ , _)

X-intercept: (_ , _)

Answers

The answer is
X intercept : -3,0
Y intercept: 0, -6/5

The answer is y-intercept: (0, -6/5) and X-intercept: (-3, 0)

5 grams =
centigrams

Answers

Answer:

500

Step-by-step explanation:

a centigram is 100 so 5x100=500

Answer:

Its____, you multiply the mass by 100, because its twice as many centigrams-

Step-by-step explanation:

okay so 5grams times 100centigrams is 500centigrams

Theirs your awnser yw

500 is your awnser :)))))

Nate downloaded a free virus detection program, which reported that his computer is infected with a virus. The editors of a tech magazine reviewed the effectiveness of the free program by running it on 500 computers, with 8% of those computers known to be virus-infected. Their findings are summarized in the two-way table. Virus Reported Virus not Reported Infected 28 12 Not Infected 94 366 Which statement is supported by the data? A. The magazine's review suggests Nate should trust the program's report because the probability that the scan result is a false positive is only 7.11%. B. The magazine's review suggests Nate should use a different detection program because the probability that the scan result is a false positive is 77.05%. C. The magazine's review suggests Nate should use a different detection program because the probability that the scan result is a false positive is 22.95%. D. The magazine's review suggests Nate should use a different detection program because the probability that the scan result is a false positive is 92.89%.

Answers

Answer: 77.05%

Step-by-step explanation:

The magazine's review suggests Nate should use a different detection program because the probability that the scan result is a false positive is 77.05%.

From the question we are told that:

Sample size n=500

Know Virus infection r=8\%

The data can be represented in the Table below a

[tex]\begin{tabular}{lllll}S/N & Reported & Not reported & Total \\Infected & 28 & 12 & 40 \\Not Infected & 28 & 36&460\\Total &122&378&500\\\end{table}[/tex]

Therefore the False Positive can be Mathematically represented as

[tex]FP=\frac{94}{122}[/tex]

[tex]FP=0.7705[/tex]

[tex]FP=77.05\%[/tex]

In conclusion we can say that The magazine's review suggests Nate should use a different detection program because the probability that the scan result is a false positive is 77.05%

Therefore

Option B is correct

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Answers

Answer:

the equation used to determine male and female athletes can be C.x+y=127

x=y+23

Answer:

Step-by-step explanation:

55 Points | Giving Brainliest To Correct Answer | Please Give Explanation | Reporting Incorrect Answers

Answers

Answer:

numbef 1 false because one dot equals two students

number 2 flase because all the dots add up to 21 and for eight students there are 4

number 3 true because the amount is eight students and on 7 inches the are four students

you have on your own or just share your thoughts about it in the comments then i can come up with something.

Answer: the answer is A

Answer:

6.32 in.

Step-by-step explanation:

2.92 + 3.4 = 6.32

Answer: 6.32 inches

.........................

3(x+6)=24 I need help to find x

Answers

Answer:

[tex]\boxed{\bold{x \ = \ 2}}[/tex]

Explanation:

3(x + 6) = 24

Simplify both sides of the equation

3(x + 6) = 24

(3)(x) + (3)(6) = 24 (Distribute)

3x + 18 = 24

Subtract 18 from both sides

3x + 18 − 18 = 24 − 18

3x = 6

Divide both sides by 3

3x / 3 = 6 / 3

[tex]\bold{x \ = \ 2}[/tex]

Answer:

x = 2

Step-by-step explanation:

Remeber this rule: PEMDAS

Even though parantheses comes first, we must take away 3 By dividing (since 3 is currently multiplying with x+6). Picture it like a ‘tail,’ and you must take the tail away first. so it would look like this:

3 ÷ 3 (x+6) = 24÷3

3 ÷ 3 cancels out, and 24 ÷ 3 equals 8, so now your equation becomes:

x + 6 = 8

now, we subtract 6 (since it is adding with x)

x + 6 - 6 = 8 - 6

positive 6 and negative 6 (aka 6-6) cancel out, and 8 - 6 = 2, so x = 2

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