MATHEMATICS MIDDLE SCHOOL

Under which operations is the set of whole numbers {0,1,2,3...} closed

Answers

Answer 1
Answer:

Checking with Addition:

Let x, y be two whole numbers.

Then, x + y is definitely a whole number.

So, the set of whole numbers is closed under addition.

Checking with Subtraction:

Let x, y be two whole numbers.

Then, x - y may or may not be a whole number.

For example, if we take 3 and 2,

3 - 2 = 1 is a whole number but if we take 2 and 5, then

2 - 5 = -3 is not a whole number.

So, the set of whole numbers is not closed under subtraction.

Checking with Multiplication:

Let x, y be two whole numbers.

Then, x × y is definitely a whole number.

So, the set of whole numbers is closed under multiplication.

Checking with Division:

Let x, y be two whole numbers.

Then, x / y may or may not be a whole number.

For example, if we take 6 and 3,

6/3 = 2 is a whole number.

But, if we take 4 and 5,

4/5 is not a whole number.

So, the set of whole numbers is not closed under division.

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85% of 40 e-mails it's to hard for me

Answers

 85% of 40 e-mails is 34
85% of 40

If its percent just take it upon 100 and multiply it by the number :)

85/100 × 40
= 85×40/100
= 85×2/5
= 170/5
= 34

How does adding the log together automatically mean that it is a factorial?

Answers

Answer: The answer is given below.

Step-by-step explanation:  We are given an equality involving logarithm and we are to show the implication of L.H.S. to R.H.S.

We will be using the following two properties of logarithm:

(i)~\log_ba=(1)/(\log_ab),\n\n\n(ii)~log_ab+\log_ac=\log_a(bc).

The proof is as follows:

L.H.S.\n\n\n=(1)/(\log_2N)+(1)/(\log_3N)+(1)/(\log_4N)+\cdots+(1)/(\log_(100)N)\n\n\n=\log_N2+\logN3+\log_N4+\cdots+\log_N100\n\n=\log_N\{2.3.4...100\}\n\n=\log_N\{1.2.3.4...100\}\n\n=\log_N{100!}\n\n=(1)/(\log_(100!)N)\n\n=R.H.S.

Hence proved.

What is the total cost of sweatshirt if the regular price is $42 and the sales tax is 5.5 or 5 1/2%

Answers

44.31 is how much it would cost
First, find 5.5% of 42

0.055 x 42 = 2.31

Now add

42 + 2.31 = 43.11

The answer is 43.11

The product of 10 and the difference of a number X and 14 is 90

Answers

i would be happy to help but i just don't know but would be happy to help

What is 22.5% written as a fraction in simplest form

Answers

22.5 written as a fraction could be like this 22 5/10, we can simply that to 22 1/2, if you want mixed number then it's 45/2
22.5%-- The 22 is a whole number, so we can right away say that'll stay as a whole. The 5 in 22.5 is in the tenths place value, therefore the denominator will be 10 and the numerator will be 5. The fraction you have now is 22 5/10, or in simplest form 22 1/2. As an improper, it is 45/2:)

Use distributive property to rewrite 14x+21y

Answers

14x + 21y

It has a common multiple with is 7
It can also be written as:
7 ( 2x + 3y ) which is the same as 14x + 21y after distribution 
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