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Mathematics 9 Online
OpenStudy (anonymous):

@sammixboo Help Please!

sammixboo (sammixboo):

There we go. OS stopped loading for me

sammixboo (sammixboo):

Tag me when you finish :)

OpenStudy (anonymous):

Daniel took two quizzes. On the first he earned 9.5 points per question plus two bonus points. On the second he earned 11.5 points per question plus 1 bonus point the expression for the average number of points Daniel earned is \[(9 \times 5q +2) + (1+11.5q)\] ----------------------------- \[ 2\], where \[q\] represents the number of questions per quiz. What is Daniel's average number of points if \[q = 8\]?

OpenStudy (anonymous):

Once we figure out the equation numerator (the equation on the top of the division line), and the equation denominator, (the equation on the bottom of the division line), we have to divide what we get, because the answer will NOT be in fraction form.

sammixboo (sammixboo):

If q = 8 then plug in 8 wherever q is. \(\color{red}{\dfrac{(9\times5\times8+2)+(1+11.5\times8)}{2}}\) Can you give this problem a try :) Tell me what you get!

sammixboo (sammixboo):

Ok, sorry. Was in the middle of helping a user while you were posting that. Are you still working or do you want me to help?

OpenStudy (anonymous):

still working.

sammixboo (sammixboo):

Okie dokie. Tell me if you need any help :)

OpenStudy (anonymous):

Using the trick you taught me, I remember that multiplication and division have to be on the left side, or subraction and addition overrule them.

sammixboo (sammixboo):

Yes. do the multiplication/division first, then the addition/subtraction

OpenStudy (anonymous):

Is it 462?

OpenStudy (anonymous):

@sammixboo

sammixboo (sammixboo):

Not quite. Let's solve the numerator. Solving the first parenthesis, what is 9*5*8?

OpenStudy (anonymous):

360

OpenStudy (anonymous):

@sammixboo

sammixboo (sammixboo):

Right! So now we have \(\color{red}{\dfrac{(360+2)+(1+11.5\times8)}{2}}\) And we know that 360 + 2 = 362, so \(\color{red}{\dfrac{362+(1+11.5\times8)}{2}}\) Now lets solve the other parenthesis. What is 11.5*8?

OpenStudy (anonymous):

Wait.

OpenStudy (anonymous):

What about that trick you said.

OpenStudy (anonymous):

You said that multiplication MUST be on the left side or else it doesn't get solved first.

sammixboo (sammixboo):

You do what's in the parenthesis first, always. In the parenthesis, you always follow PEMDAS

OpenStudy (anonymous):

Yes I know that.

sammixboo (sammixboo):

After you solve everything in the parenthesis, you continue, still following pemdas

sammixboo (sammixboo):

Oh, the multiplication/division always gets solved first

OpenStudy (anonymous):

isn't the trick you showed me part of pemdas?

OpenStudy (anonymous):

What!

sammixboo (sammixboo):

Well, multiplication/division gets solve always before addition/subtraction**

OpenStudy (anonymous):

But, you said it had to be on the left side or, no dice.

OpenStudy (anonymous):

Unless being inside parenthesis changes that rule.

sammixboo (sammixboo):

NO matter where the placement is in the parenthesis or not in parenthesis. You have to solve the multiplication/division starting from the left side, like a book, but you do have to skip all the addition/subtraction until you finish the multiplication/division

OpenStudy (anonymous):

Then...did I get an answer wrong?

OpenStudy (anonymous):

Math is confusing.

OpenStudy (anonymous):

I usuallly can't hear things, not being able to read, now that's something.

OpenStudy (anonymous):

Why do they even force us to do this anyway.

OpenStudy (anonymous):

Since WHEN do variables and PEMDAS help us.

sammixboo (sammixboo):

Hehe I feel the same, but take a look at what my friend made a little while ago about PEMDAS http://openstudy.com/study#/updates/545826d0e4b04ccc259160ab

OpenStudy (anonymous):

I'm just gonna hope that I didn't get an answer wrong.

OpenStudy (anonymous):

And let's move on.

sammixboo (sammixboo):

Ok, so far we are right. We are at \(\color{red}{\dfrac{(360+2)+(1+11.5\times8)}{2}}\) And we know that 360 + 2 = 362, so \(\color{red}{\dfrac{362+(1+11.5\times8)}{2}}\) Now lets solve the other parenthesis. What is 11.5*8?

OpenStudy (anonymous):

88.4?

OpenStudy (anonymous):

I broke it up, it's probably wrong.

sammixboo (sammixboo):

11.5*8 = 92 :P So now we have \(\color{red}{\dfrac{362+(1+92)}{2}}\) We know that 1 + 92 = 93, so now we have \(\color{red}{\dfrac{362+93}{2}}\) To finish this up, add 362 + 93 then divide the sum of that by 2

sammixboo (sammixboo):

So what is 362 + 93?

OpenStudy (anonymous):

455.

sammixboo (sammixboo):

Right! Now what is 455/2?

OpenStudy (anonymous):

227.5

sammixboo (sammixboo):

Right, and that's your answer

OpenStudy (anonymous):

OH COME ON! IT WON'T FIT!

sammixboo (sammixboo):

Huh? xD

OpenStudy (anonymous):

I'm typing it in, it won't fit!

OpenStudy (anonymous):

It's not allowing me!

OpenStudy (anonymous):

So it must not be it..

OpenStudy (anonymous):

...

sammixboo (sammixboo):

227.5 is what I get when I type the original question in the calculator

OpenStudy (anonymous):

Wait....calculators don't use PEMDAS...

OpenStudy (anonymous):

@sammixboo

sammixboo (sammixboo):

Just typing this into the calculator. ((9*5*8+2)+(1+11.5*8))/2 Which is the same as \(\color{red}{\dfrac{(9\times5\times8+2)+(1+11.5\times8)}{2}}\)

OpenStudy (anonymous):

But they don't follow the rules of PEMDAS. I learned that by my "experiences".

OpenStudy (anonymous):

It also could be the quiz being the sassy sue it is.

OpenStudy (anonymous):

it says average..

OpenStudy (anonymous):

Rounding strangely comes to..wait...

OpenStudy (anonymous):

Nope. Don't know.

OpenStudy (anonymous):

if ya round 227.5 it can round to 228

OpenStudy (anonymous):

I dunno, it says average but..

OpenStudy (anonymous):

ya know what you did wrong

OpenStudy (anonymous):

No.

OpenStudy (anonymous):

you put 9 times 5 when it says 9.5 in the word problem

OpenStudy (anonymous):

i believe you typed equation wrong

OpenStudy (anonymous):

How did you know that...

OpenStudy (anonymous):

cause in the word problem and very lucky guess

OpenStudy (anonymous):

Well..crap.

OpenStudy (anonymous):

So...85.5?

OpenStudy (anonymous):

That was a waste of time.

OpenStudy (anonymous):

I'm sorry.

OpenStudy (anonymous):

@sammixboo

OpenStudy (anonymous):

Woot!

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