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Find the mean of the list:
(10, 4, 2, 9, 5, 5, 0, 1, 1, 3)
State the definition of the mean.
The mean of a list of numbers is given by:
(sum of elements)/(number of elements)
Identify the sum of the elements.
(sum of elements) = 10+4+2+9+5+5+0+1+1+3:
(10+4+2+9+5+5+0+1+1+3)/(number of elements)
Next, find the number of elements.
Counting, we see that the list has 10 elements:
(10+4+2+9+5+5+0+1+1+3)/10
Look for the additive identity.
10+4+2+9+5+5+0+1+1+3 = 10+4+2+9+5+5+1+1+3:
10+4+2+9+5+5+1+1+3/10
Evaluate 10+4+2+9+5+5+1+1+3 using long addition.
| 3 |
| 1 | 0
|  | 9
|  | 5
|  | 5
|  | 4
|  | 3
|  | 2
|  | 1
+ |  | 1
| 4 | 0:
40/10
Reduce 40/10 to lowest terms. Start by finding the GCD of 40 and 10.
The gcd of 40 and 10 is 10, so 40/10 = (10×4)/(10×1) = 10/10×4 = 4:
Answer: | 
| 4

find simple intrest. assume a 360 day year. round to the nearest cent

$12,047 at 3.5% for 10 months

$12,047 X .035=$421.65

$421.65 / 12=$35.14 per month X 10 months=$351.40 Total amount for 10 months.

You can cancel out the two (x - 2) factors, giving you  1 + x/(x - 3) > 0  and then solve from there.

However, because 2 makes the denominator in the fraction that you cancelled out equal to zero, you cannot have 2 as an answer.

just put in the first number then the fraction with the slash

Using I = Prt, we have......

$12047 x  .035 x (10/12)  = about $351.37

Step 1: Divide the first term under the long division line by the first term outside it, \(\frac{x^2}{x}\) in this case

Step 2: Multiply the newest term ontop of the division line with each term on the outside -> \(x*x + x*-3\)

Step 3: Subtract the 2nd line from the 1st -> \((x^2-x) - (x^2-3x) = 2x\)

Step 4: Repeat steps 1 to 3 eg: \(\frac{2x}{x}=2\) ...

Whats left up top is the factorised version.

Simplify the following:
2 x+5 y-9 (2 x-6 y+4 z)
Distribute -9 over 2 x-6 y+4 z.
-9 (2 x-6 y+4 z) = -18 x+54 y-36 z:
2 x+5 y+-18 x+54 y-36 z
Group like terms in 2 x+5 y-18 x+54 y-36 z.
Grouping like terms, 2 x+5 y-18 x+54 y-36 z = -36 z+(5 y+54 y)+(2 x-18 x):
-36 z+(5 y+54 y)+(2 x-18 x)
Add like terms in 5 y+54 y.
5 y+54 y = 59 y:
-36 z+59 y+(2 x-18 x)
Combine like terms in 2 x-18 x.
2 x-18 x = -16 x:
Answer: | 
| -36 z+59 y+-16 x

5{[5(q-5)+15]-[3(5q-2)+5]}

5{[5q - 25 + 15] - [15q - 6 + 5 ]}

5{[ 5q - 10] - [15q - 1] }

5 [ -10q - 9]

-50q - 45

Your result is;

5x-9

Your result should be:

5 (5 (q-5)-3 (5 q-2)+10)

(x/sinx) * cosx  =

x * [ cosx / sinx] =

x* cot(x)

Just divide the bigger number by the smaller.

Total Cost / Price per lb.

5.31 / .45  =  11.8 lbs

Your result is:

5a+14b-7

2a+6b+3a-7+8b      rearrange as

2a + 3a + 6b + 8b - 7  =

5a + 14b - 7

Simplify the following:
12 x^4+2 y^3-x^4-y^3
Group like terms in 12 x^4+2 y^3-x^4-y^3.
Grouping like terms, 12 x^4+2 y^3-x^4-y^3 = (2 y^3-y^3)+(12 x^4-x^4):
(2 y^3-y^3)+(12 x^4-x^4)
Combine like terms in 2 y^3-y^3.
2 y^3-y^3 = y^3:
y^3+(12 x^4-x^4)
Combine like terms in 12 x^4-x^4.
12 x^4-x^4 = 11 x^4:
Answer: | 
| y^3+11 x^4

you just use the signs in the equations based on the numbers that like terms

2t + 8t + 4w + -7w

10t+ -3w

thank you but thats not what i asked

CPhill: I think you made a small mistake by neglecting a -7 in the left bracket. I blieve the answer to be

-25. Thanks.

The area of a square is given by the side squared

s^2 = 138   take the positive root of this

s = sqrt(138)     and the perimeter is four times this =

4sqrt(138)  = about 46.99 [or about 47] inches

6 x $8   +   4 x $9  =

$48  + $36  =

$84

[9(b+5)-15]+[2(b-2)+2] =

[9b + 45 - 15] + [2b - 4 + 2] =

9b + 30 + 2b - 2 =

11b + 28

You can also write it like this,In expanded for

(x^3-4 x^2+5 x-3)/(x-3)>0

In expanded form, like this:

x^3/(x-3)-(4 x^2)/(x-3)+(4 x)/(x-3)+1>0, therefore,

x>3

[2(8-7)-[7-(-6-7)]  =

2(1) - [7 - (-13)] =

2 - [ 7 + 13] =

2 - 20 =

-18

6, 12, 18, 24