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Thanks Chris :)

Thanks anon, that is a good description.

I would like to make one correction though :)

Median and mode are other measures of central tendencies but they are NOT other averages.

Here is a picture of what you describe :

Δ ABC has a base = 16 and a height  = 8  ....so the area is (16)(8)/2 = 64cm^2

D is the midpoint of AB,  E is the midpoint of DB, and F is the midpoint of BC. And since D has the same x coordinate as C, then the x coordinate of F will have the same x coordinate as the midpoint of DB. And the y coordinate of F will be the same as the y coordinate of the midpoint of DC.

Thus, the height of Δ AEF = 4 and the base = 12. So the area of Δ AEF  is just (12)(4)/2 = 48/2 = 24 cm^2

15x-10=9x+2

Move the x to one and other numbers to other side

So, 15x-9x=2 + 10

6x=12

Divide both sides by 6

Then you get x=12/6=2

how do you calculate mean

Average is a synonym for arithmetic mean - which is the value obtained by dividing the sum of a set of quantities by the number of quantities in the set. An example is (3 + 4 + 5) ÷ 3 = 4. The average or mean is 4. Two other common forms of averages are the median and mode.

mean means the same as average.

You add up all the scores and then divide by how many there are :)

If the fraction is 3/7 what was it before it was reduced (simplified) I don't understand how to do it.

Well multiply top & bottom by any number that you want!!!!!

So, 3/7 x 2/2 or by 3/3, or 4/4.....etc. So you get 6/14 or 9/21, or 12/28....etc. These are all

the same!!.

It could have been any number of things.....6/14, 12/28, 24/56.....etc.....

$${\frac{{\mathtt{19}}}{{\mathtt{20}}}} = {\mathtt{P}}{\mathtt{\,-\,}}{\mathtt{1}}$$$${\frac{{\mathtt{1}}}{{\mathtt{4}}}}$$

1 1/4=1 5/20+19/20=1 24/20=2 4/20=Simplified:2 1/5

Answer will be 2 1/5

$${\frac{{\mathtt{19}}}{{\mathtt{20}}}} = {\mathtt{P}}{\mathtt{\,-\,}}{\mathtt{1}}$$$${\frac{{\mathtt{1}}}{{\mathtt{4}}}}$$

1 1/4=1 5/20+19/20=1 24/20=2 4/20=Simplified:2 1/5

Answer will be 2 1/5

  $1,061.99.

The payment will contain both interest + Principle payment usually. This figure is based on a 30 year loan, monthly repayment, amortizing loan.

Over time, the interest component in this amount that you pay will decrease as principle is paid off and the principle component will increase. Though, the monthly figure to be paid does not change.

You would need the formula or a financial calculator to get the value.

It's correct, Melody.....

I assume this is:

sqrt3(1+sqrt(2))*sqrt6(3-2*sqrt(2))   ....so we have

√3(1 + √2 ) ( √6)(3 - 2√2)  =

√18( 1 + √2 ) ( 3 - 2√2 ) =

√18 ( 3 + 3√2 - 2√2 - 4) =

√18( √2 - 1) =

√36  - √18 =

6 - 3√2

$$\\\sqrt3(1+\sqrt{2})*\sqrt{6}(3-2*\sqrt{2})\\\\
=\sqrt{3*6}*[(1+\sqrt{2})(3-2\sqrt{2})]\\\\
=\sqrt{2*9}*[1(3-2\sqrt{2})+\sqrt{2}(3-2\sqrt{2})]\\\\
=3\sqrt{2}*[3-2\sqrt{2}+3\sqrt{2}-2\sqrt{2}\sqrt{2}]\\\\
=3\sqrt{2}*[3+\sqrt{2}-2*2]\\\\
=3\sqrt{2}*[\sqrt{2}-1]\\\\
=6-3\sqrt{2}$$

You need to check this answer :)

(-5/2)(w-1)=15      multiply both sides by -2/5

w - 1  = 15(-2.5)    simplify

w - 1 = -6      add 1 to both sides

w = -5

19/20=p-1 1/4

19/20=p-5/4

Then p=19/20 + 5/4=(19 +25)/20=44/20=11/5 which is the value of p

The number of characters  is given  by :  [17 - 6 ] x  2  = 11 x 2 = 22

Here is the proof of this.....first note.....that only in a circle with an even number of characters can they be evenly spaced such that every character has a character directly across from him/her.

Between the 6th and 17th characters, there are 10 characters....and each of these characters will have a counterpart directly across from him/her.   Then, that will be 20 characters. And adding the 6th and 17th chracters makes 22 total characters.

what is 99 times 1/3 to the x power?

99 x 1/3=33^x

-3*5+-9/4+3^2=-33/4=-8.25

1-Do the power 3^2=9

2-do the multiplication -3 x5=-15

3-Do the division -9/4=-2 1/4

4-Then arrange as you did....-15+2 1/4+9=9-15=-6-2 1/4=-8 1/4

the intrest would be 

4847.5

How much would you pay per month for 236,500.00 at 3.5% interest

You should ALWAYS make your question very clear!. Generally speaking, when you borrow

money from a Bank it's for a certain term, or period of time such as a mortgage for 10, 20 or

even 30 years!. The way you have posed the question, it simply means that you multiply the

interest rate by the principal & then divide by 12 to give you the monthly interest.

So, in this case you divide 3.5/100, because % means per hundred, or 3.5/100=.035 x 236,500=$8,277.50 which is annual interest. Then divide that by 12 to give you monthly interest if the 3.5% is compounded monthly. Or, $8,277.50/12=$689.79

$$\left({\frac{{\mathtt{2}}}{{\mathtt{7}}}}{\mathtt{\,\times\,}}{\frac{{\mathtt{21}}}{{\mathtt{4}}}}\right)$$

$${\frac{{\mathtt{42}}}{{\mathtt{28}}}}$$

Simplified: 1 $${\frac{{\mathtt{14}}}{{\mathtt{28}}}} = {\frac{{\mathtt{1}}}{{\mathtt{2}}}}$$

W=5

$$\underset{\,\,\,\,{\textcolor[rgb]{0.66,0.66,0.66}{\rightarrow {\mathtt{w}}}}}{{solve}}{\left(\begin{array}{l}{\mathtt{\,-\,}}\left({\frac{{\mathtt{5}}}{{\mathtt{2}}}}{\mathtt{\,\times\,}}\left({\mathtt{\,-\,}}{\mathtt{5}}{\mathtt{\,-\,}}{\mathtt{1}}\right)\right)={\mathtt{15}}\\
{\mathtt{\,-\,}}\left({\frac{{\mathtt{5}}}{{\mathtt{2}}}}{\mathtt{\,\times\,}}-{\mathtt{6}}\right)={\mathtt{15}}\\
\left({\frac{{\mathtt{5}}}{{\mathtt{2}}}}{\mathtt{\,\times\,}}{\mathtt{6}}\right)={\mathtt{0}}\\
{\mathtt{15}}={\mathtt{0}}\\
{\mathtt{W}}={\mathtt{5}}\end{array}\right)}$$