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Just remember, Gamemaster.......we perform multiplication/division from left to right - as we encounter them - before addition and subtraction

1) -3 + (-1) * 2 =  -3 + -2  = -5

2) -10 - 1 / 1 =   -10 - 1  =  -11

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

4) (-6.3) - (-7.46) =   -6.3 + 7.46 = 1.16

5) -7 * 6 * -8 =  -42 * -8   =  336

6) ½ * 1.3 =   .5 * 1.3 =  0.65

6)   could also be worked as     1/2 * [1 + 3/10]  = 1/2 *13/10  = 13/20  

Assuming that births are evenly distributed throughout the year:

30 days in September

365 days in a year 

30/365 = 6/73

(72)(13/15)(5/6) = 72 (65/90) = 72(13/18)      (13/18) is how much is left as a fraction of the origianal 72   =  52$

Use the x^y function on the calculator and put the 'power' in parentheses

Example:

4 ^(2/3)     is   4 to the two thirds power......

That is the equation for a line....ANY point on that line will be a solution of the equation.

OK...I think I got ya.....the roof will have a LARGER area than  6 x 5 = 30 sq m

the 90 degree roof ridge will form a 45 degree angle with the vertical resulting in a 45-45-90 triangle

The TWO legs of the triangle will be equal and = 5/2   or 6/2  depending on exactly how the roof is positioned over the area of the floor

for the 5/2 orientation:

the hypotenuse will be     5/2^2 + 5/2^2 = hyp^2    Hyp = 3.54    EACH SIDE of the roof will be 3.54 x 6m = 21.21 sq m

    you will need a left and right side    so    2 x 21.21 = 42.42 sq m   for this orientation

NOW let's rotate tthe roof 90 degrees, then the legs of the triangle will be 6/2

6/2 ^2  + 6/2 ^2 = hyp^2   hyp = 4.24       the other side of the roof line will be  5 meters and we need two of these

          2  x  (4.24 x 5) = 42.42   (the same)

SO it does not matter the roof orientation, the minumum area of roof wil be   42.42 sq m

A PARALLEL line will have the EXACT SAME SLOPE

SLope = rise / run =   (2-8) / (0-8) = -6 / -8 = 3/4 

2+2=5

4 11/20

$2.84

12+4/n=2

12+4/n = 2

Bring 12+4/n together using the common denominator n:
(4 (3 n+1))/n = 2

Multiply both sides by n:
4 (3 n+1) = 2 n

Expand out terms of the left hand side:
12 n+4 = 2 n

Subtract 2 n+4 from both sides:
10 n = -4

Divide both sides by 10:
Answer: |  n = -2/5

[3/4](x+8)=9   multiply both sides by   4/3

x + 8  =  12    subtract 8 from both sides

x = 4

6.1561196*10^36

The "36" indicates that the decimal point will move 36 places to the right

So.....you would end up with  8 non-zero digits followed by 29 zeros

a.   If the wind is blowing "from" N27E......its actual direction is  243° [ in terms of normal degree  measure]

The plane is traveling in the intended direction of 153° [in  terms of normal degree measure]

To get the  the x ooordinate of resultant vector, we have

145cos153 +  23cos243 =  -139.64

To get the y coordinate of the resulting vector, we have

145sin153 + 23sin243  =  45.36

So...the resuting magnitude = √[ (-139.64)^2 + (45.36)^2]  =   146.8 mph

And the resulting direction =

arctan [ 45.36/-139.64] + 180° = 162°   =   N72W

Solve for n over the real numbers:
8^(7 n) = 9223372036854775808

8^(7 n) = 2^(21 n):
2^(21 n) = 9223372036854775808

9223372036854775808 = 2^63:
2^(21 n) = 2^63

Equate exponents of 2 on both sides:
21 n = 63

All equations give n = 3 as the solution:
Answer: | n = 3

Division by zero is not defined.   1/0 does not have an answer.   Explanation ---

To understand this,  understand that the division sign is really just a question.

12/3 means 'what do I need to multiply 3 by to get 12.' Answer 4. And 4  x 3   = 12

Now ask 'what do I need to multiply 0 by to get 1.'        and you can see that there is no such number. 

(If it's any consolation,this was a problem that confounded mathematicians for centuries and led Newton to the idea of differential calculus.)

thanks CPhill 

(3x^3+x^2+2x+4) /  (x-2)

            3x^2  + 7x  +16

x - 2  [ 3x^3 + x^2 + 2x + 4  ]

           3x^3 -6x^2

          ----------------------

                    7x^2  + 2x

                    7x^2 -14x

                   ---------------

                            16x + 4

                            16x -32

                           ------------

                                   36

So....the result is       3x^2 + 7x + 16  Remainder 36

square root of 50/32

Top and bottom have common factor 2.So divide thru by 2.

50/32   = 25/16

sqrt a/b = (sqrt a)/(sqrt b)

so sqrt (25/16) = (sqrt 25)/(sqrt16) = 5/4  

thank you CPhill :)

15 students total

The average of 14 students = 80

the average of 15 students = 81

x/14 = 80

x= 1120

y/15 = 81  y = 1215      the difference between y and x is Payton's score   1215-1120 = 95

All of these are similar to the first one

Length =  √[x^2 + y^2 ] =  √ [3^2 + 4^2]  =  √25  = 5

Direction  =  arctan [y/x]   = arctan [4/3]  = 53.13°