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Start with this:

225+75-30

The +75 is the 75 points gained, the - 30 is the 30 points lost, and the 225 is her current points.

225 + 75 is 300,

300 - 30 is 270.

Anna finishes off with 270 points.

Maya wins the competition.

nvijai

It provides a convention (protocol) for performing mathematical operations in a specified order (known as the order of precedence).....for instance.....if we had......

13 + 6 x 7    ..... which operation should be carried out first??

We might think that we would add first and then multiply, but this is incorrect...the order of operations tells us to perform the multiplication and then the addition. Without this structure, there would be chaos in trying to determine the "right" answer!!!  The first (incorrect) result would be 133....the second (correct result) = 55.....see the difference??

Yep! Lol! True story!

897,000,000 = 897,000,000.

Write the non-zero part of the number and put a decimal after the first non-zero digit of this....so we have....

8.97 .......and we will multiply this by 10 raised to some power

Now, we would have to move the decimal eight places to the right to return the original number....and this is the exponent (power) that we will put on 10 in our multiplication....so we have....

8.97 x 10⁸

Just replace n with -2n, like this:

g(-2n)=-2n-4.

Divide by a power of ten to make the number in between 0 and 10. In this case, this is 8.97, and 10^8. Just multily them together.

8.97*10^8

This will be put into a fraction, like this:

15/80

From here, use long division. This would be easy to demonstrate if I had some paper, but I'll just show you the answer:

$${\frac{{\mathtt{15}}}{{\mathtt{80}}}} = {\frac{{\mathtt{3}}}{{\mathtt{16}}}} = {\mathtt{0.187\: \!5}}$$

From here, round to the nearest hundreth.

0.1875-->0.19

19% 

Not a proportion...just a fraction....so we have.....

(15 ounces of lead)/(80 total ounces)  = 3/16 = .1875  or 18.75%

it's the guidelines for basically all math problems

x^-.3=.3714   ...we can write this as

1/(x^3/10) = 3714/10000  .... and when two fractions are equal, their reciprocals are equal, too...so we have...

(x^3/10) = 10000/3714    ......exponentiate both sides to the (10/3) power

x = (10000/3714)^(10/3) = about 27.156     (we could have also solved this problem using logs, too)

In fact, Angelica......it would take you your whole lifetime to list all the digits....and you still wouldn't be finished!!!..."Pi" is a number with a non-repeating, non-terminating decimal part ......!!! (known as an irrrational number)

First, input your variables:

3-2*4-(-4)

multiplication first:

3-8-(-4)

Now solve:

-5+4

-1

Dude, are you CrAzY??!!!?!! It will take about maybe my whole live to put all the numbers down ._. 

This is known as the Pytagorean Theorem. It says that, in a right triangle, the sum of the squares of the legs (a and b) = the square on the hypoteneuse (the side opposite the right angle = "c")

b - 2a - c

3 - 2(4) - (-4)

3 - 8 + 4 (subracting a negative is adding)

-5 + 4

-1

You have to add 3 and 4, like this:

$${\mathtt{3}}{\mathtt{\,\small\textbf+\,}}{\mathtt{4}} = {\mathtt{7}}$$

a/b, where a = 11/4 and b = -1/6

(11/4)/(-1/6)

This is the same as dividing 11/4 by -1/6.

So,

11/4*-6

-66/4, or -16 1/2.

a/b = (11/4) /  (-1/6)

Remember, when we divide fractions, we just change to multiplication and "flip" the second fraction...so we have...

11/4 * -6/1 =

11/4 * -6   =

-66/4  =  -33/2

OK...note that 6% = .06

C = 54.99 + (.06)* 54.99 = $58.29   (rounded)

And there you go.......

LCM of 22 and 23 is 506

a irrational number is a number that goes on for ever, like 1/3 or pi

$$-40+(-40)=$$$${\mathtt{\,-\,}}{\mathtt{40}}{\mathtt{\,-\,}}\left({\mathtt{40}}\right) = -{\mathtt{80}}$$

Thanks, DS.......that's probably overly generous on you and your sister's part...that problem was only a "1 pointer".....IMHO !!!!!

10 points CPhill!!! Me and my sister gave you points!

I'm assuming you want to factor the problem as presented in the book  ???

[4x² -2x + 6] / [2x - 3 ]  =

2[2x² - x + 3] / [2x -3] ........and this is all we can do, because 2x² - x + 3 is an irreducible polynomial.....