1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
wariber [46]
3 years ago
12

Proves that the sum of 5 consecutive natural numbers is divisible by 5 ​

Mathematics
2 answers:
erastova [34]3 years ago
6 0

Answer:

n = 5m + 10 = 5(m + 2), since m + 2 is an integer, then the n is divisible by 5.

Step-by-step explanation:

borishaifa [10]3 years ago
5 0

Answer:

Natural numbers are simply positive integers.  For now, refer to the middle number (the third number), as x.  Thus, the numbers are: x - 2, x - 1, x, x + 1, and x + 2.  Simply add all these numbers to get 5x, a number that is divisible by 5.  As such, you can conclude that any 5 consecutive numbers are divisible by 5, and the quotient would be the third, or middle number.

Hope it helps :) and let me know if you want me to elaborate.

You might be interested in
What is the code? Thank you! Whoever answers this, I will give brainliest!
shepuryov [24]

Answer:

5821

Step-by-step explanation:

For the first symbol, the number is 5.

In the first problem, the digit corresponding to that symbol is 5.

In the second one, it should be 5. The area of a triangle is base * height / 2. The base is 15 and the height is 9. Therefore, the area will be 15 * 9 / 2 = 67.5 square units. Now, the number corresponding to that symbol is 5.

In the fourth problem, the number corresponding to the symbol is also 5.

For the second symbol, the number is 8.

In the 5th problem, the number corresponding to that symbol is 8.

In the 7th problem, the number corresponding to the symbol is 8.

In the last problem, 96 is the correct answer, and everything is in the right place. I assume this must be the mistake of the maker of the problem.

For the third symbol, the number is 2

In the 1st and 3rd problems, the number corresponding to that symbol is 2

Finally, for the last symbol, the number is 1

In the 4th problem, there is a trapezoid. The formula for the area of a trapezoid is base 1 * base 2 / 2 * height. base 1 = 29, base 2 = 13. 13 + 29 = 42. 42 / 2 = 21. 21 * 15 = 315. Now, the 2nd digit, the one corresponding to the symbol, is 1.

In the last problem, you need to find the surface area of a figure. I would do this by splitting it up. The area for a triangle is base * height / 2. That means, the area of the triangle would be 8 * 7 / 2 = 28. There are four identical triangles, so you multiply this by 4 and get 112. Next, you find the area of the square which is 7 * 7. 7 * 7 = 49. Now, you add them together. 112 + 49 = 161. Now, the first and last digits corresponding to the symbol are both 1.

The answer is 5821.

4 0
3 years ago
The sum of three consecutive odd integers is − 87 . find the numbers.
DIA [1.3K]
Three consecutive odd integers are n, n+2 and n+4

n + n+2 + n+4 = -87
3n + 6 = -87
3n = -87 - 6
3n = -93
n = -93/3
n = -31

n+2 = -31 + 2 = -29
n+4 = -31 + 4 = -27

The numbers are -31, -29 and -27
5 0
3 years ago
In your notebook, set up the following addition using a vertical format and find the sum of the given polynomials. a - b + c, b
liq [111]
Your answer would be A) a+c+e

a-b+c
b-c+d
c-d+e
+
——————
a+c+e
5 0
3 years ago
Read 2 more answers
If 3(y+13) = 33 find the value of 1/4y
marshall27 [118]

Answer:

Step-by-step explanation:

3y + 39 = 33

3y = -6

y = -2

1/4(-2)= -2/4 = -1/2

3 0
3 years ago
Is 0.8 a rational number
Ierofanga [76]
Yes. If you can express it as a fraction (=ratio) then it is rational. 0.8 is the same as 8/10.
5 0
3 years ago
Read 2 more answers
Other questions:
  • Can someone help me solve for x in this equation?? 25+3.50x < 17+7.50x
    9·1 answer
  • The length, width, and height of a rectangular solid are 13.5, 12, and 14.1, respectively. Find the volume.
    7·1 answer
  • -3 divided by 1/6 = <br> 1. 18<br> 2. -18<br> 3. -2<br> 4. -1/2
    15·2 answers
  • I really need help (the picture of the problem is attached, you must zoom out)
    5·1 answer
  • Numerals in a number which are either nonzero, or are zeros which do not serve merely as placeholders are called ___ digits.
    7·2 answers
  • A customer buys 17.01 in gas and requests one five dollar [$5] lottery ticket, two one dollar [$1] lottery tickets, and one [$3]
    10·1 answer
  • What is the value of z in the equation 2z + 7 = -5?<br> a. -6<br> b. -1<br> c. 1<br> d. 6
    6·2 answers
  • (x+3)^2 when tking the square root of both sides of this equation how many solutions will it have
    9·1 answer
  • A toll-free consumer information line answered 105 of
    9·1 answer
  • Which expression is the factorization of x2 + 10x + 21?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!