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3 years ago

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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3 years ago

The average number of employees that call in sick for the day over the course of a year is 25.

Georgia [21]

Answer:

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3 years ago

Can someone help me for brainliest

Nataly [62]

Answer:

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No. Since the garage is a square, the length and width are the same. And since the formula to find the area of a square is (length times width) l x w , that means that the square root of 121 would be the length and width of the garage. The square root of 121 is 11, concluding that the car that measures 13 feet long is too large.

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2 years ago

How many three-digit numbers can be formed under each condition?

Leokris [45]

Answer:

(a) 900

(b) 648

(d) 600

Step-by-step explanation:

If there are no restrictions, there are 10 possible values for each digit of a three-digit number.

(a) The leading digit cannot be zero

There are 9 options for the first digit and 10 for the remaining digits.

$n=9*10*10 = 900$

(b) The leading digit cannot be zero and no repetition of digits is allowed.

$n=9*9*8=648$

(c) The leading digit cannot be zero and the number must be a multiple of 5.

If a number is a multiple of five, it must end in 0 or 5

$n=9*10*2=180$

(d) The number is at least 400.

If the number is at least 400, the first digit can only be 4, 5, 6, 7, 8 or 9. There are no restrictions for the remaining digits.

$n=6*10*10=600$

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3 years ago

As the borough of Staten Island continues to grow how can we as a community maintain and upgrade our quality of life?

Zielflug [23.3K]

You can get together groups of people to help pick up litter, you can file a petition to help further protect the deer population, and more laws can be introduced to ticket people for improper curb appeal.

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3 years ago