Melody

Maybe you are supposed to be learning it in more depth now.

All learning spirals.   You learn a little and then you continue on with revision and with adding a little more knowledge as time goes on.  

Like climbing up a spiral staircase.

Let Ryan have R coins and Gavin have G coins

Ryan's bag contains 5 times as many coins as Gavin's bag.       so       5G=R    (1)

If Ryan gives 18 coins to Gavin

that would mean that Ryan ends up with 18 less and Gavin will have 18 more than before,

then they will have the same amount.

so

R-18=G+18         (2)

Now you have 2 equations that must be solved simultaneously.   Can you take it from there Tg ?

just do  2150 divided by 125 on your calculator

I like this question, it is much easier than it looks

Let the first digit be x  and the second by y

You might find it a little easier to think of two different scenarios.  Though really this is not necessary.

1.  x+y <10

2. x+y >10

However:

If you want to look in advance then just draw up a 9 by 9 grid, fill in the outcomes and see what happens.

Please let 'thedude...'   work it out for himself from here.

What have you tried?

It is necessary to make the assumption that the L length is cut into 3 so that the three gardens are all W wide.

The length of the 3 doesn't matter so long as the 3 add together to be L in length.  

This is what it must be, the w sides are all parallel.

Now you can add up all the sides and put them equal to 120.

Then solve for L

and substitute  A=WL   to get the area given.

After that find dA/dW   and put it equal to 0 to find the W that will make the Area maximum.

That should be enough to get you one your way.

Other answerers:   Please allow Sumdud to do it from here.  

If Sumdud needs more help he/she will show what they have done and ask for further assistance.

5+sqrt(19)+sqrt(147/8)

\(5+\sqrt{19}+\sqrt{\frac{147}{8}}\\~\\ 5+\sqrt{19}+\sqrt{\frac{147}{4*2}}\\~\\ 5+\sqrt{19}+\frac{1}{2}\sqrt{\frac{147}{2}}\\~\\ 5+\sqrt{19}+\frac{1}{2}\sqrt{\frac{147}{2}}\frac{\sqrt2}{\sqrt2}\\~\\ 5+\sqrt{19}+\frac{1}{2}\frac{\sqrt{147}}{\sqrt2}\frac{\sqrt2}{\sqrt2}\\~\\ 5+\sqrt{19}+\frac{1}{2}\frac{\sqrt{147*2}}{2}\\~\\ etc\)

That is not finished.  If you go to the 'HOME' page on this site you will find a calculator.

Type in  factor(147)   then press equals, you will get the factors of 147 and you can simplify some more.

Please let guest asker finish this of him/her self.

It happens automatically.  The censoring I mean.

So what?

You want people here to do your homework for you instead of you looking at your notes?

You still haven't bothered to tell us what the answer is.