geno3141

If you let 'n' to represent a number then '-9 times a number' can be written as -9n

'less then' means subtraction:  12 less then -9 times a number  becomes -9n - 12 (the subtraction in the equation is written in the opposite way as written in words)

'8 minus 4 times the number ' becomes 8 - 4n

So, the equation is:  -9n - 12  =  8 - 4n

Get all the variables to one side. If you add  9n  to both sides:

    -9n + 9n - 12  =  8 - 4n + 9n

    -12  =  8 + 5n

Subtract 8 from both sides:

    -12 - 8  =  8 - 8 + 5n

    -20  =  5n

Divide both sides by 5:

    -20 ÷ 5  =  5n ÷ 5

    -4  =  n

Now, check the answer:   -9n - 12  =  8 - 4n

               -9(-4) - 12  =  36 - 12  = 24                 8 - 4(-4)  =  8 + 16  = 24        They check!

EE means to enter something in scientific notation.

To enter 23 x 10^15 on a calculator enter as 23 EE 15.

Is there a difference between x and X?

What is the problem?

16n - 2 > 8n + 62

Subtract 8n from both sides:

16n - 8n - 2 > 8n - 8n + 62

8n - 2 > 62

Add 2 to both sides:

8n - 2 + 2 > 62 + 2

8n > 64

Divide both sides by 8:

8n ÷ 8 > 64 ÷ 8

n > 8

Solving  4x - 3  =  21:

[Add 3 to both sides]     4x - 3 + 3  =  21 + 3

[Simplify]                                4x  =  24

[Divide both sides by 4]             x  =  6

Now, for the second part:  do you mean (x - 2)2         or do you mean  (x - 2)²

 (x - 2)2  =>  (6-2)2  =>  (4)2  => 8

 (x - 2)²  =>  (6 - 2)²  =>  (4)²  =>  16  

The first term as a variable, the second doesn't so there isn't any variable that can be factored out.

The first number is  15  =  5 x 3

The second number is  27  =  3 x 3 x 3

There is one common factor,  3.

The greatest common factor of  15x  and  27  is 3.

The only number that can be factored out of  15x + 27  is  3;   3(5x + 9) 

1001  can be factored into  7 x 11 X 13

So,  .1 x 1 x 7 x 11 x 13  =  100.1

Which value you choose for which letter determines the various answers.

To round to 4 significant places, you will round to the fourth digit from the left (except as shown below) 

look at the fifth digit from the left, if it is 5 or larger, round the fourth digit up one; if it is 4 or less, don't change the fourth digit. Since it is a  7  round the fourth digit to  5.

Answer:  18.35

The above rule will not work if the number is less than 1; that is, if it only a decimal.

For instance, if the number were 0.0018347, then you round to the fourth digit from the first non-zero number, giving an answer of 0.001835. (If the number starts with zeros, don't count those zeros.)

If you subtract  -9  from  40, you have:  40 - -9

But sutracting a negative is the same as adding a positive, so  40 - -9  =  40 + 9  =  49