You shouldn't post that here.

9.647 * 10^7

Let the amount of Alice's original money = A

Let the amount of Bob's original money = B

So

(A + n )* 3  =  (B - n)     → 3A + 3n  = B - n  →  3A - B  = -4n   (1)

(A - n) =  2 * ( B + n)  →  A - n  =  2B + 2n →  A - 2B  = 3n  (2)

Multiply the first equation by 3  and the second equation by 4  and add them together

9A -  3B  =  -12n

4A  - 8B =    12n

13A  - 11B  =  0     add 11B to both sides

13A  = 11B          divide both sides by 13, B

A / B  =  11 / 13

 At the Dessert Island Pastry Cafe, there are 2 cakes for every 7 donuts and 11 brownies for every 3 cakes. What is the ratio of brownies to donuts?

2 cakes : 7 donuts      →   6 cakes : 21 donuts

3 cakes : 11 brownies  →  6 cakes : 22 brownies

22 brownies : 21 donuts

I roleplay. What sites do you use?

I translated this (its spanish)

and this is what he wrote:     

 honestly i do not know

sinceramente eu não sei

80

because

s/20=4   so

s=4*20

s=80

Pretty easy if you ask me........

Its when scientists date back objects from what time their from.

Ex)  Archelogists at a exacavation

You may Juriemagic but I certainly don't.

Guest has rearranged the numbers so that they spit out the right answer but there is no explanation given as to why he/she is doing anything. In fact there is not logical flow of the algorithm.

I suspect he/she has no understanding at all.

Increasing something by a ratio means to increase it by a scalar

put it like this (using your example)

\({6 \over1} = {x \over25}\)

Now, cross multiply

6*25=1*x

x=25*6

x=150

Hope this helped :)

A variable, generally represented with an alphabetic character or foreign symbol, is a quantity that changes depending on the context.

\(f(x)=\sqrt{5-x}+3\) 

Changing this to its inverse requires a few steps.

1. Change \(f(x)\) to \(y\).

This step is pretty simple. We are switching from function notation to y=-notation. \(f(x)=\sqrt{5-x}+3\) changes to \(y=\sqrt{5-x}+3\)

2. Interchange x and y

This step is also quite simple; replace all instances of x with y and all instance of y with x.

\(y=\sqrt{5-x}+3\) changes to \(x=\sqrt{5-y}+3\)

3. Solve for y

This step is the hardest. Transform the equation into the form of y=.

4. Consider Whether the Inverse is actually a Function

In this case, it is a function, so we are OK.

Of course, scientific notation can be used to represent the size of a cell. Astronomers heavily rely on the use of scientific notation because of the vast distance between each star. 

By definition, \(\sqrt{x^2}=|x|\). I know this because if you graph both functions, the output will be the same.

Yes, the square root of any number that is not a perfect square is irrational, which is also known as a surd.

For example, \(\sqrt{4}\) is rational because the radicand is a perfect square while \(\sqrt{8}\) is irrational because the radicand is not a perfect square.

By simplification, I think the user wants to determine the simplest radical form of \(\sqrt{24}\)

The first step is to find a perfect square that is also a factor of the radicand. The radicand, in case you are wondering, is the number or expression underneath the square root symbol. The factors of 24 are 1,2,3,4,6,8,12,24

The 4 is bolded because it is a factor of 24 and also a perfect square.

\(\sqrt{24}=\sqrt{4*6}=\sqrt{4}\sqrt{6}\)

As you can see, the square root of 4 simplifies to 2. \(\sqrt{24}=2\sqrt{6}\)

In order to solve for x in this equation, we must perform a multitude of operations.

Exponential Growth:

Amount of money in a bank account (not including inflation)

Amount of cells in a Petri dish

Exponential Decay:

Amount of money in a bank account (inflation adjusted)

Amount of a drug in your blood after the first dose, and no other doses

If you're talking Pathfinder, you got me!