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anonymous

  • one year ago

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

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  1. Hero
    • one year ago
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    @milli_lovesyouu begin by dividing both sides by p.

  2. anonymous
    • one year ago
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    D/p = (3+nr) ?

  3. Hero
    • one year ago
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    Very good. Now 3 + nr isn't being multiplied by anything anymore so the parentheses are no longer needed. You can remove them.

  4. anonymous
    • one year ago
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    okay so then i have to get rid of the n right?

  5. Hero
    • one year ago
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    The next step after removing the parentheses is to subtract 3 from both sides.

  6. anonymous
    • one year ago
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    -3d/p = nr ?

  7. Hero
    • one year ago
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    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?

  8. anonymous
    • one year ago
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    no idea :(

  9. Hero
    • one year ago
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    How do you write six minus 3?

  10. anonymous
    • one year ago
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    6 - 3

  11. anonymous
    • one year ago
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    3 - d/p ?

  12. Hero
    • one year ago
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    How do you write one-third minus 3?

  13. Hero
    • one year ago
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    Very good. How do you write d/p minus three?

  14. anonymous
    • one year ago
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    d/p - 3 = nr?

  15. Hero
    • one year ago
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    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.

  16. anonymous
    • one year ago
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    no idea im sorry i tried on paper but it didnt make sense to me

  17. Hero
    • one year ago
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    Type it first in here. I'll explain it later. Just simply place the expression on the left side within a set of parentheses.

  18. anonymous
    • one year ago
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    d/p is outside the ( ) right ?

  19. Hero
    • one year ago
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    The entire expression on the left side, put parentheses around it.

  20. anonymous
    • one year ago
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    (d/p - 3) = nr then, multiple both sides by n?

  21. Hero
    • one year ago
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    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.

  22. Hero
    • one year ago
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    The final expression is going to look kind of awkward, I know, but no one says the equations have to look pretty.

  23. Hero
    • one year ago
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    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.

  24. anonymous
    • one year ago
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    okay, so it'll be (d/p - 3) / n = r ?

  25. Hero
    • one year ago
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    Exactly correct.

  26. Hero
    • one year ago
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    And if you're confused about how that looks on paper, it will look like this: \(\dfrac{\dfrac{d}{p} - 3}{n} = r\)

  27. anonymous
    • one year ago
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    thats my answer?

  28. Hero
    • one year ago
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    Yes

  29. anonymous
    • one year ago
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    these are my answer choices though ?

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  30. anonymous
    • one year ago
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    @Hero

  31. Hero
    • one year ago
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    It's unfortunate that they have done that, because now they basically want you to re-write it in a different form.

  32. anonymous
    • one year ago
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    can you help me? :( please

  33. Hero
    • one year ago
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    No wonder you were confused about how to write the final form.

  34. anonymous
    • one year ago
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    yea i was looking at my book and other examples but i couldn't figure it out for nothing

  35. Hero
    • one year ago
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    It will be more difficult to explain based on the manipulation necessary to re-write it in the proper form.

  36. anonymous
    • one year ago
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    its okay ill just email my teacher about it i guess

  37. anonymous
    • one year ago
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    Thank you so much for all your help!

  38. Hero
    • one year ago
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    Why do you need to email your teacher about it? Have you given up on solving this?

  39. anonymous
    • one year ago
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    what other way can i write this?

  40. anonymous
    • one year ago
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    i was looking at answer choice a at first

  41. Hero
    • one year ago
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    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.

  42. Hero
    • one year ago
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    Next, you distribute \(\dfrac{1}{n}\) over \(\dfrac{d}{p} - 3\) to get \(\dfrac{d}{pn} - \dfrac{3}{n}\)

  43. Hero
    • one year ago
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    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}\

  44. Hero
    • one year ago
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    Notice the denominators are the same so we can combine the expression to get: \(\dfrac{d - 3p}{pn} = r\)

  45. anonymous
    • one year ago
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    So, A right?

  46. Hero
    • one year ago
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    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.

  47. anonymous
    • one year ago
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    yea, i like explanations so i learn because these problems are on my next test :( im in college intermediate Algebra

  48. anonymous
    • one year ago
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    Thank you so much!!!!

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