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anonymous

  • one year ago

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. (5 points) Part B: How many liters of lemon juice are present in the bottle? Show your work. (5 points)

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  1. anonymous
    • one year ago
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    Who can answer a question of mine?

  2. anonymous
    • one year ago
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    It has two parts

  3. anonymous
    • one year ago
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    @robtobey

  4. anonymous
    • one year ago
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    @Vocaloid @welshfella

  5. welshfella
    • one year ago
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    if there is 60 5 lemon juice what percentage of water is in the mixture?

  6. welshfella
    • one year ago
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    * 60 %

  7. anonymous
    • one year ago
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    40%

  8. welshfella
    • one year ago
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    right so if there is a total of x liters in the bottle we have 0.4x = 1 because theer is 1 liter of water

  9. welshfella
    • one year ago
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    solve this for x

  10. anonymous
    • one year ago
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    Uh, 2.5?

  11. welshfella
    • one year ago
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    yep

  12. anonymous
    • one year ago
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    So what would the equation look like?

  13. welshfella
    • one year ago
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    theres a total of 2.5 liters of the mixture in the bottle Part B volume of lemon juice = 0.6 * 2.5

  14. welshfella
    • one year ago
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    the equation is 0.4x = 1

  15. welshfella
    • one year ago
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    where x is the volume of lemon juice+ water

  16. anonymous
    • one year ago
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    What does the * stand for again?

  17. welshfella
    • one year ago
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    multiply

  18. anonymous
    • one year ago
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    Oooh I see. So I need to multiply 0.6 and 2.5?

  19. welshfella
    • one year ago
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    yes

  20. anonymous
    • one year ago
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    ... 1.5

  21. welshfella
    • one year ago
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    60% = 0.6

  22. welshfella
    • one year ago
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    thats correct 1.5 liters of lemon juice are in the mixture

  23. anonymous
    • one year ago
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    Awesome! Ya think you can help me with one more?

  24. anonymous
    • one year ago
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    Emily uses her college photocopier machine to photocopy at the rate of $0.08 per page. She decides to rent a photocopier machine for $90 a year. The cost of photocopying using the rented machine is $0.03 per page. Part A: Write an inequality that can be used to calculate the number of pages that Emily should photocopy in a year so that the amount she pays for the rented machine is less than the college machine. Define the variable used. (5 points) Part B: How many pages should Emily print in a year to justify renting the photocopier? Show your work. (5 points)

  25. welshfella
    • one year ago
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    Sorry No I have to go right now,

  26. anonymous
    • one year ago
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    Oh alright. Thank you!

  27. anonymous
    • one year ago
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    @nincompoop @Hero

  28. Hero
    • one year ago
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    Answered that photocopy question years ago.

  29. anonymous
    • one year ago
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    Huh?

  30. Hero
    • one year ago
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    Good luck finding it

  31. anonymous
    • one year ago
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    ... You're not going to help me..?

  32. anonymous
    • one year ago
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    ?

  33. Hero
    • one year ago
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    Do you have an idea Of how to set it up?

  34. anonymous
    • one year ago
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    Not one bit. Never really understood inequalities.

  35. Hero
    • one year ago
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    What We want: Cost of rented photocopier < Cost of college photocopier

  36. anonymous
    • one year ago
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    Right.

  37. Hero
    • one year ago
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    The cost of both are given in the problem . All you have to do is write the appropriate expression for each

  38. Hero
    • one year ago
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    what is the cost of the rented photocopier?

  39. anonymous
    • one year ago
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    That's what I need most help with

  40. anonymous
    • one year ago
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    $90

  41. Hero
    • one year ago
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    What does the last sentence of the first paragraph say?

  42. anonymous
    • one year ago
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    .03 per page

  43. Hero
    • one year ago
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    Yes,µ+ we don't know how many pages gµ will have to photocopy in order for the price of photocopying using the rented machine to be less than that of the College machine.

  44. Hero
    • one year ago
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    So we should let ''per Page" represent x

  45. Hero
    • one year ago
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    So the cost of photocopying using the rented machine is represented by .03x

  46. Hero
    • one year ago
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    Actually yes 90 + .03x is correct

  47. Hero
    • one year ago
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    Which means the cost for photocopying using the college machine is...?

  48. anonymous
    • one year ago
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    3000

  49. Hero
    • one year ago
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    Where does 3000 come from?

  50. anonymous
    • one year ago
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    I divided 90/.03

  51. Hero
    • one year ago
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    For what reason?

  52. anonymous
    • one year ago
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    Wait, was I supposed to solve 90 + .03x?

  53. Hero
    • one year ago
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    What was the last thing I asked you to find?

  54. anonymous
    • one year ago
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    The cost for photocopying with the rented copying machine

  55. Hero
    • one year ago
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    We found the expression for the cost of using the rented machine already.

  56. Hero
    • one year ago
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    What is the cost for using the other machine?

  57. anonymous
    • one year ago
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    Oh oops 0.08

  58. Hero
    • one year ago
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    0.08x

  59. Hero
    • one year ago
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    So knowing this, how should We setup the inequality?

  60. anonymous
    • one year ago
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    I don't know; it only says the cost per page.

  61. Hero
    • one year ago
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    Remember we want cost of rented machine < Cost of college machine

  62. Hero
    • one year ago
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    Replace each with their appropriate expressions.

  63. anonymous
    • one year ago
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    ... Not sure

  64. Hero
    • one year ago
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    The cost per page adds UP to the total cost of using each machine.

  65. Hero
    • one year ago
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    If you have something like 200 pages worth Of stuff to photocopy, it's going to cost More than just $0.08

  66. anonymous
    • one year ago
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    One second...

  67. anonymous
    • one year ago
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    So for part A, we need to find an amount of pages that will be cheaper with the rented copier?

  68. anonymous
    • one year ago
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    Hello?

  69. anonymous
    • one year ago
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    @Hero

  70. Bossvideogamer21
    • one year ago
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    @hero is offline now

  71. anonymous
    • one year ago
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    How'd you know? @Bossvideogamer21

  72. Bossvideogamer21
    • one year ago
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    because i looked at his profile it says he's offline

  73. anonymous
    • one year ago
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    Oh.

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