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Mathematics 15 Online
OpenStudy (anonymous):

Please Help, I already know that the answer is not B. Will medal.

OpenStudy (anonymous):

OpenStudy (anonymous):

I have no idea how to separate h from the rest of the problem. I have already tried this, and answer is not B. hints the x over B. PLEASE HELP!

OpenStudy (anonymous):

@AlexandervonHumboldt2 @Kainui Help? :(

OpenStudy (anonymous):

@ShiBuringa

OpenStudy (anonymous):

I do not know how to even begin to isolate h.

OpenStudy (whpalmer4):

\[p = 0.7 (r h + b)\]you need to solve that for \(h\) You can do just about anything as long as you do it equally to both sides of the equation. But first, let's use the distributive property to get rid of the ( ) \[p = 0.7 r h + 0.7 b\]

OpenStudy (whpalmer4):

Now, we can swap the stuff on the right and the left, as they are equal. If \[a=b\]then \[b=a\]right? \[p = 0.7rh + 0.7 b\] \[0.7 rh + 0.7b = p\] any question about that?

OpenStudy (anonymous):

Okay, I didn't know if I should distribute or just try using the properties of equality. so we have p=0.7rh+0.7b

OpenStudy (whpalmer4):

There are a number of routes we could take, but let's try this one, and maybe I'll do another one if this ends up being confusing. \[0.7rh + 0.7b = p\]We want to get \(h\) alone on the left, so let's first move everything that does not contain \(h\) to the other side. We can do that by subtracting those terms from both sides: \[0.7rh + 0.7b - 0.7b = p -0.7b\]\[0.7rh = p - 0.7b\]Good so far? Any ideas on what we do next?

OpenStudy (anonymous):

Okay, makes sense. @whpalmer4 So now we have to divide r from 0.7rh So would we divide it just as r or as 0.7r?

OpenStudy (whpalmer4):

well, we need to get rid of both the 0.7 and the r, so we could divide by \(0.7r\) and do it all in one step: \[\frac{0.7rh}{0.7r} = \frac{p-0.7b}{0.7r}\]what do you get when you simplify that?

OpenStudy (anonymous):

\[h=\frac{ p-0.7b }{ 0.7r }\] Correct?

OpenStudy (whpalmer4):

yes

OpenStudy (anonymous):

Wait I meant \[h=\frac{ p-b }{ r }\] because the 0.7 cancels out. Right?

OpenStudy (whpalmer4):

No, that's not right. You can only cancel the 0.7 on the right hand side if it appears in all of the parts of the fraction: for example: \[\frac{0.7x + 0.7y}{0.7} = x+y\] but \[\frac{0.7x + y}{0.7} \ne x+y\] \[\frac{0.7x + y } {0.7} = \frac{0.7x}{0.7} + \frac{y}{0.7} = x + \frac{y}{0.7}\]

OpenStudy (anonymous):

Okay, so what would be the correct answer, bc now I get it, I just don't know which answer is correct.

OpenStudy (whpalmer4):

Yes, this is ugly, isn't it? :-)

OpenStudy (anonymous):

B

OpenStudy (anonymous):

@llama459 it is not B. because that is what I answered the first time I took this quiz and I was wrong.

OpenStudy (whpalmer4):

we have \[h=\frac{ p-0.7b }{ 0.7r }\] and our choices are \[h = (\frac{p}{0.7}-b) \div r\] \[h = \frac{p}{0.7}-b\div r\] \[h = (\frac{p}{0.7})\div r - b\]\[h = \frac{p-b}{0.7}\div f\] We know it is not B

OpenStudy (anonymous):

C?

OpenStudy (whpalmer4):

If we look at A, and multiply both sides by \(r\), we get \[rh = \frac{p}{0.7} - b\] If we multiply our solution by \(r\) on both sides we get \[rh = \frac{p-0.7b}{0.7}\]

OpenStudy (whpalmer4):

What happens if we split the fraction on the right as I did when I was showing you why your simplification was incorrect? \[rh = \frac{p-0.7b}{0.7} = \frac{p}{0.7} - \frac{0.7b}{0.7} = \]

OpenStudy (whpalmer4):

That simplifies to \[rh = \frac{p}{0.7}-b\]does it not? That appears to be one of your answer choices...

OpenStudy (whpalmer4):

Uh, sorry, that itself does not appear to be one of your answer choices, but the equation we derived that from is the first answer choice.

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