anonymous
  • anonymous
Someone please help me step by step i've been stuck on this and i want to learn 1. D = p(3 + nr) solve for r
Mathematics
chestercat
  • chestercat
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Hero
  • Hero
@milli_lovesyouu begin by dividing both sides by p.
anonymous
  • anonymous
D/p = (3+nr) ?
Hero
  • Hero
Very good. Now 3 + nr isn't being multiplied by anything anymore so the parentheses are no longer needed. You can remove them.

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anonymous
  • anonymous
okay so then i have to get rid of the n right?
Hero
  • Hero
The next step after removing the parentheses is to subtract 3 from both sides.
anonymous
  • anonymous
-3d/p = nr ?
Hero
  • Hero
The right side is correct, but the left side is incorrect. You wrote -3 as multiplying d/p, but what you actually what to do is subtract 3 from d/p. Have an idea of how to write that?
anonymous
  • anonymous
no idea :(
Hero
  • Hero
How do you write six minus 3?
anonymous
  • anonymous
6 - 3
anonymous
  • anonymous
3 - d/p ?
Hero
  • Hero
How do you write one-third minus 3?
Hero
  • Hero
Very good. How do you write d/p minus three?
anonymous
  • anonymous
d/p - 3 = nr?
Hero
  • Hero
Yes, correct. Subtracting 3 from d/p means the same as d/p minus three. You should pay very close attention to the way math phrases are worded. Now the last step is important and I want you to get it right. First I want you to place everything on the left side in parentheses.
anonymous
  • anonymous
no idea im sorry i tried on paper but it didnt make sense to me
Hero
  • Hero
Type it first in here. I'll explain it later. Just simply place the expression on the left side within a set of parentheses.
anonymous
  • anonymous
d/p is outside the ( ) right ?
Hero
  • Hero
The entire expression on the left side, put parentheses around it.
anonymous
  • anonymous
(d/p - 3) = nr then, multiple both sides by n?
Hero
  • Hero
The expression above is correct as written. Notice that n is being multiplied by r. So to undo that, we have to actually perform an inverse operation. DIVISION. Divide both sides by n.
Hero
  • Hero
The final expression is going to look kind of awkward, I know, but no one says the equations have to look pretty.
Hero
  • Hero
You're changing it to something else. When you put the expression in parentheses, YOU CANNOT alter it. It's ONE expression. You divide the entire expression by n.
anonymous
  • anonymous
okay, so it'll be (d/p - 3) / n = r ?
Hero
  • Hero
Exactly correct.
Hero
  • Hero
And if you're confused about how that looks on paper, it will look like this: \(\dfrac{\dfrac{d}{p} - 3}{n} = r\)
anonymous
  • anonymous
thats my answer?
Hero
  • Hero
Yes
anonymous
  • anonymous
these are my answer choices though ?
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anonymous
  • anonymous
Hero
  • Hero
It's unfortunate that they have done that, because now they basically want you to re-write it in a different form.
anonymous
  • anonymous
can you help me? :( please
Hero
  • Hero
No wonder you were confused about how to write the final form.
anonymous
  • anonymous
yea i was looking at my book and other examples but i couldn't figure it out for nothing
Hero
  • Hero
It will be more difficult to explain based on the manipulation necessary to re-write it in the proper form.
anonymous
  • anonymous
its okay ill just email my teacher about it i guess
anonymous
  • anonymous
Thank you so much for all your help!
Hero
  • Hero
Why do you need to email your teacher about it? Have you given up on solving this?
anonymous
  • anonymous
what other way can i write this?
anonymous
  • anonymous
i was looking at answer choice a at first
Hero
  • Hero
The next step is to first re-write it this way: \(\dfrac{1}{n}\left(\dfrac{d}{p} - 3\right) = r\) Believe it or not, the expression on the left is equivalent to the expression we got for our initial answer.
Hero
  • Hero
Next, you distribute \(\dfrac{1}{n}\) over \(\dfrac{d}{p} - 3\) to get \(\dfrac{d}{pn} - \dfrac{3}{n}\)
Hero
  • Hero
Afterwards multiply \(\dfrac{3}{n}\) by \(\dfrac{p}{p}\) to get \(\dfrac{3p}{p}\) So the expression on the left now looks like \(\dfrac{d}{pn} - \dfrac{3p}{pn}\
Hero
  • Hero
Notice the denominators are the same so we can combine the expression to get: \(\dfrac{d - 3p}{pn} = r\)
anonymous
  • anonymous
So, A right?
Hero
  • Hero
A is correct but the important thing to know is how to get A. You can't get it by eyeballing it and you should never try to guess with problems like these.
anonymous
  • anonymous
yea, i like explanations so i learn because these problems are on my next test :( im in college intermediate Algebra
anonymous
  • anonymous
Thank you so much!!!!

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