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Gelneren [198K]
3 years ago
9

N is a positive integer.Explain why n(n-1) must be an even number.

Mathematics
1 answer:
V125BC [204]3 years ago
4 0

Answer:

n and (n - 1) are consecutive integers.

Step-by-step explanation:

We are given 'n', a positive integer.

This 'n' can either be odd or even.

Case I:

When 'n' is odd

The n - 1 is even.

Note that the product of odd and even is always even. That is the product of n and (n - 1) is even.

Case II:

when 'n' is even

Then n - 1 is odd.

Again, using the similar logic we can say that the product of n and n - 1 should be even because here, 'n - 1' is even and 'n' is odd.

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Joshua is traveling in to Europe and needs to exchange some of his money. $1 is worth .85 euros. Find how much Joshua will get with $40.
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3 years ago
6 + ( 2 − 3 ( 4 ) ) + 1 /( 5 ) ( 2 ) − 4
tankabanditka [31]

6 + (2 - 3 (4) )+1 / (5) (2) - 4 = -1 /2

<u>Step-by-step explanation:</u>

6 + (2 - 3 (4) )+1 / (5) (2) - 4

Using the BODMAS rule, we can simplify the expression in the following way, like, we have to do the operation inside the brackets first, then division, multiplication, addition and then subtraction.

= 6 + (2 - 3 (4) )+1 / (5) (2) - 4  [operation inside the brackets]

= 6 + (2 - 12) )+1 / (5) (2) - 4  

= 6 + (-10) )+1 / (10) - 4

=   6 + 1 -10 / (10) - 4

=  7 - 10/ 6

= -3 / 6

= -1/2

4 0
3 years ago
Please help ASAP thank you in advance ​
elixir [45]

Given : m represents the number of men at the club

It means - Total number of men at the club are : m

Given : There are four more women than men at the club

It means - Total number of women at the club are 4 more than men

:\implies  Total number of women at the club are : m + 4

Total number of men and women at the club are :

:\implies  Total number of men + Total number of women

:\implies  m + (m + 4)

:\implies  m + m + 4

:\implies  4 + 2m

5 0
3 years ago
Read 2 more answers
in Yoshi's garden three quarters of the flowers are tulips of the tulips 2/3 of them are yellow what fraction of the flowers in
PtichkaEL [24]
So 3/4 of flowers are tulips
2/3 of tulips are yellow
what fraction are yellowtulips
2/3 of 3/4 are yellow tulips
'of' means mutily
2/3 times 3/4=(2 times 3)/(3 times 4)=6/12=1/2

answer is 1/2
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2 years ago
The equation of the axis of symmetry is x = 3. True or false
Vsevolod [243]

Answer:

true

Step-by-step explanation:

6 0
3 years ago
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