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anonymous

  • one year ago

Part A: Solve A = 9 over 2(x + 28) for x. Part B: Determine the value of x when A = 135. Part C: Solve –np – 40 > 10 for n. Show your work.

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  1. anonymous
    • one year ago
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    \[A= \frac{ 9 }{ 2 } \left( x + 28\right)\]

  2. anonymous
    • one year ago
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    @zepdrix can you help me with this?

  3. Vocaloid
    • one year ago
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    part A: "solve for x" means we want to get x by itself start by multiplying both sides of the equation by 2 to eliminate the denominator

  4. anonymous
    • one year ago
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    A2=? (x + 28)

  5. zepdrix
    • one year ago
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    \[\large\rm A=\frac{9}{2}\left(x+28\right)\]Multiplying both sides by 2 gives you,\[\large\rm 2\cdot A=2\cdot\frac{9}{2}\left(x+28\right)\]Don't think of that 2 as a denominator, think of the operation being performed. It's actually division by 2. So we're multiplying and dividing by 2 on the right side of the equation. Those actions will "cancel out".\[\large\rm 2\cdot A=\cancel{2}\cdot\frac{9}{\cancel{2}}\left(x+28\right)\]

  6. zepdrix
    • one year ago
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    Which puts you here,\[\large\rm 2A=9(x+28)\]

  7. anonymous
    • one year ago
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    divide by 9 and then subtract 28? @zepdrix

  8. anonymous
    • one year ago
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    \[\frac{ A2 }{ 9 }-28=x\]

  9. zepdrix
    • one year ago
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    Ahh sorry had to go make some food +_+

  10. zepdrix
    • one year ago
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    Looks good!

  11. anonymous
    • one year ago
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    2! the answer to B it x = 2!

  12. zepdrix
    • one year ago
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    yay good job \c:/

  13. anonymous
    • one year ago
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    :DD

  14. anonymous
    • one year ago
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    -np - 40 > 10 add 40 first or...

  15. zepdrix
    • one year ago
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    Yah, that seems like a good first step

  16. anonymous
    • one year ago
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    -n > 50/p but what about that minus sign?

  17. zepdrix
    • one year ago
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    I guess you'll want to divide each side by -p, not simply p. Do you remember what happens when you divide a negative across an inequality?

  18. anonymous
    • one year ago
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    the inequality flips

  19. zepdrix
    • one year ago
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    yessss

  20. anonymous
    • one year ago
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    n < 50/-p

  21. zepdrix
    • one year ago
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    Ok great! Let's bring the negative sign out front because \(\large\rm \frac{50}{-p}\) is the same as \(\large\rm \frac{-50}{p}\) which is the same as \(\large\rm -\frac{50}{p}\). It doesn't really matter where the negative goes, it just looks nicer in front like this form.

  22. anonymous
    • one year ago
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    ok. do you have time for one more question?

  23. zepdrix
    • one year ago
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    sure!

  24. anonymous
    • one year ago
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    Bruce has a bottle that contains 60% of lemon juice and the rest water. The bottle has 1 liter of water. Part A: Write an equation in one variable that can be used to find the total number of liters of lemon juice and water in the bottle. Define the variable used in the equation. Part B: How many liters of lemon juice are present in the bottle? Show your work. This one is really confusing to me.

  25. zepdrix
    • one year ago
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    Mmm I remember this one coming up like 6 months ago, confused me also lol gimme a sec XD

  26. anonymous
    • one year ago
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    ok :)

  27. anonymous
    • one year ago
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    im not so smart

  28. zepdrix
    • one year ago
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    Oh oh oh oh oh.. ok now I remember why I got confused on this one. Make sure you understand the second sentence. It's NOT saying that bottle contains 1Liter of liquid. It contains 1Liter of water. They're not telling us how much total liquid is in the bottle.

  29. zepdrix
    • one year ago
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    So umm

  30. anonymous
    • one year ago
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    Ok, i see how that can get you!

  31. zepdrix
    • one year ago
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    Ok if lemon juice accounts for 60% of the liquid in the bottle, what % does that leave for water?

  32. anonymous
    • one year ago
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    40%

  33. zepdrix
    • one year ago
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    Good good good. and I think we can use thattttt :) sec, brain ... not... working lol

  34. anonymous
    • one year ago
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    lol

  35. zepdrix
    • one year ago
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    The `amount` of water is 1Liter. So this 1Liter accounts for 40% of the total Liquid in the bottle. \(\large\rm 1L=.40T\) So how much total liquid is in the bottle? Can you solve this algebraically? (Ignore the L, that's just a unit).

  36. anonymous
    • one year ago
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    Darude-Sandstorm

  37. anonymous
    • one year ago
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    1.40L

  38. anonymous
    • one year ago
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    t

  39. zepdrix
    • one year ago
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    Woops! The 40% is `multiplying` the Total. So to isoluate your total, T, you'll need to divide.

  40. zepdrix
    • one year ago
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    isolate*

  41. anonymous
    • one year ago
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    2.5

  42. zepdrix
    • one year ago
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    Good good good. We've determined that the total amount of liquid in the bottle is 2.5Liters. The lemon juice accounts fo 60% of that total. So we can again set this up algebraically:\[\large\rm \ell=.60T\]And since we've solved for the total, T, we can plug it right in,\[\large\rm \ell=.60\cdot 2.5\]And solve for l, the amount of lemon juice in the bottle.

  43. zepdrix
    • one year ago
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    Do those steps.... kinda make sense? 0_o It's a tricky problem to get through.

  44. anonymous
    • one year ago
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    1.5

  45. anonymous
    • one year ago
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    1.5=.60*2.5

  46. zepdrix
    • one year ago
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    Good! :) So there is: 1Liter of water which is 40% of the total liquid 1.5Liter of lemon juice which is 60% of the total liquid 2.5Liters of total liquid which is 1 + 1.5

  47. zepdrix
    • one year ago
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    Yayyy I think we did it \c:/

  48. anonymous
    • one year ago
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    Thank you so much for all your help today! I really understand it better too.

  49. zepdrix
    • one year ago
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    np \c:/ yay team!

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