geno3141

2-2-6

2-4-4

3-3-4

I don't know your level; I'm going to assume you are somewhere in the grade 5 to grade 9 range.

First, know the arithmetic facts; algebra will be just doing basic arithmetic but using letters (variables)

instead of numbers.

Know the addition table; do not use quick counting (on your fingers) instead of having the table

memorized.

Also, know the multiplication table; quick adding (on your fingers) won't be enough -- memorize!

[You've memorized the states and their capitals; you can also memorize arithmetic tables!]

Studying with someone can be a great benefit; talking through problems with someone else can really

help you understand the material. Study with someone who really wants to learn, not just get an

answer and go on. If you can find someone to study with, math can become fun and not just work.

With someone else, you will be able to greatly increase your understanding; and, once you understand

math, it will no longer be a mystery and a chore.

If you have had trouble with fractions, you will need to start over with fractions and learn how to work

with them. The same with percentages. 

Starting over with areas that you've had trouble with in the past won't be fun, but can really help you

out in the future. Several occupations require math ability; without this ability these areas may be 

closed to your. Working now may really allow better things for your future! It's hard, but worth it!

Question:  What is (10²⁰ - 1) x (10²⁰​ - 1) ?

This is a binomial, so it can be simplified as:

                    =  (10²⁰)² - 2·10² + (-1)²

                    =  10⁴⁰ -  2·10² + 1

And, if you are really interested, you can finish this ...

Thanks, Melody ... I misread it ....

(x - x³ - x) · (x - 3x² + 4) =  (-x³) · (x - 3x² + 4) =  (-x³)·(x) + (-x³)(-3x²) + (-x³)(4)

                                                                         =  -x⁴ + 3x⁵ - 4x³

a)  11 x 0   +   12 x 1   +   31 x 2   +   26 x 3   =   ...

b)  11 x 0   +   12 x 1   +   31 x 2 / 2   +   26 x 3 / 2   =   ...

It's a rectangular prism.

LSA:  6 x 4   +   8 x 4   +   6 x 4   +   8 x 4  =   ...

TSA:  LSA   +    8 x 6   +   8 x 6  =   ...  

No picture.

Since we are to end with a fraction (or percentage), we may start with as many ounces as we wish.

Let's assume that there are 100 ounces in the punch bowl. Since one-half of it is fruit juice and 

one-half of it is Sprite:

Sprite = 50 ounces.     Fruit juice = 50 ounces.

One-fourth is poured out; this means that 25 ounces have been poured out; one-half of that is

Sprite and one-half is fruit juice. So, both Sprite and fruit juices lose 12.5 ounces.

Sprite = 37.5 ounces.     Fruit juice = 37.5 ounces.

Now, 25 ounces of Sprite are added.

Sprite = 62.5 ounces.     Fruit juice = 37.5 ounces.     Total  = 100 ounces.

What fraction is Sprite?  62.5 ounces / 100 ounces  =  62.5%  or  5/8^ths.

I have a different answer:

199 / 3  =  66.3333... which to me indicates that there are 66 numbers

between 1 and 99 that each has a factor of 3     --->     66

199 / 9  =  22.1111... which to me indicaets that there are 22 numbers

between 1 and 99 that each has a second factor of 3     --->     22

199 / 27  =  7.370... which to me indicates that there are 7 numbers

between 1 and 99 that each has a third factor of 3     --->     7

199 / 81  =  2.456... which to me indicates that there are 2 numbers

between 1 and 99 that each has a fourth factor of 3     --->     2

Therefore, i arrive at 66 + 22 + 7 + 2  =  97 factors of 3.