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Mathematics 12 Online
OpenStudy (anonymous):

Please Help!

OpenStudy (anonymous):

@sammixboo

OpenStudy (anonymous):

Evaluate. Let \[z\] = 6 \[7z - 3z + 6\] -------------- \[2z + (4z + 2)\] Enter the answer in lowest terms. [______} _________ {_______]

OpenStudy (anonymous):

The answer has to be in fraction form.

OpenStudy (anonymous):

@sammixboo

sammixboo (sammixboo):

Ok, so we have \(\color{red}{\dfrac{7x - 3z + 6}{2z+(4z + 2)}}\) right?

OpenStudy (anonymous):

Right!

sammixboo (sammixboo):

Ok, so if \(\color{red}{z=6}\), plug in 6 wherever z is \(\color{red}{\dfrac{7\times6 - 3\times6 + 6}{2\times6+(4\times6 + 2)}}\) Let's start with what's in the parenthesis, following the PEMDAS rules. What is \(\color{red}{4\times6+2}\) ?

OpenStudy (anonymous):

26

sammixboo (sammixboo):

Right! SO now we have \(\color{red}{\dfrac{7\times6 - 3\times6 + 6}{2\times6+26}}\) Let's do all the multiplication in this whole fraction. What is 7 x 6 3 x 6 and 2 x 6

sammixboo (sammixboo):

Tag me when you reply =)

OpenStudy (anonymous):

7 x 6 = 42 3 x 6 = 18 2 x 6 = 12 @sammixboo

OpenStudy (anonymous):

I've been tagging you so much today, I can remember your profile name.

OpenStudy (anonymous):

sammixboo XD

sammixboo (sammixboo):

Hehe :P Anyways, that's correct! Let's plug them in. Right! SO now we have \(\color{red}{\dfrac{42 - 18 + 6}{12+26}}\) Whats 42 - 18 + 6 and 12 + 26?

OpenStudy (anonymous):

18 and 38

sammixboo (sammixboo):

38, correct, but not 18. Let's go over that. What is 42 - 18?

OpenStudy (anonymous):

but...PEMDAS

sammixboo (sammixboo):

PEMDAS Parenthesis Exponents Multiplication OR Division (starting from left side of the expression/equation) Addition OR Subtraction (starting from left side of the expression/equation)

OpenStudy (anonymous):

Oh. Well that would've helped.

sammixboo (sammixboo):

Hehe :)

OpenStudy (anonymous):

Oh, it's 30, btw.

sammixboo (sammixboo):

I used to do that a lot but learned after a while

sammixboo (sammixboo):

Yeah! So now we have \(\color{red}{\dfrac{30}{38}}\) Do you know how to simplify that?

OpenStudy (anonymous):

The easy way would be to divided by 2.

sammixboo (sammixboo):

Right! So what is 30/2 and 38/2

OpenStudy (anonymous):

I've memorized 30 divided by 2 by heart... ;) 15 and 19

sammixboo (sammixboo):

=) Right! So our final anser is 15/19

OpenStudy (anonymous):

Whoa wait.

OpenStudy (anonymous):

We should check that.

sammixboo (sammixboo):

HmM?

OpenStudy (anonymous):

actually, it seems that they're simplified.

OpenStudy (anonymous):

hmm.

OpenStudy (anonymous):

Yeah.

sammixboo (sammixboo):

Hehe, 19 can't be divide by anything else except 1 and 19

OpenStudy (anonymous):

I see.

sammixboo (sammixboo):

=) I need to grab my glasses, give me a sec

OpenStudy (anonymous):

Oh, you wear glasses too? It seems like vision problems are very common.

sammixboo (sammixboo):

Haha back. I have an astigmatism, and yeah! I usually wear contacts though.

OpenStudy (anonymous):

I can't. I'm too young.

OpenStudy (anonymous):

Plus, I'm afraid they could, erm, permenately damage my eyes.

OpenStudy (anonymous):

@sammixboo I see you changed your picture.

sammixboo (sammixboo):

Haha :P Yup. I started wearing contacts when I was 11 or 12. Can't remember

OpenStudy (anonymous):

Hey, btw do you know anyone who could help me while you're doing your business?

sammixboo (sammixboo):

Haha. @sleepyjess can if she wants?

sammixboo (sammixboo):

=3

OpenStudy (anonymous):

Hmm, good idea. @sleepyjess we need your help!

OpenStudy (sleepyjess):

hmm?

OpenStudy (anonymous):

You see, @sammixboo is busy, and won't be coming back for a little bit, and I'm on a real time crunch right now.

OpenStudy (sleepyjess):

Yep :)

OpenStudy (anonymous):

Let me open up a new question.

OpenStudy (anonymous):

Because we already finished this one.

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