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rannsan

Write the algebraic equation of: Five-sixths of a number is -60. What is the number?

  • one year ago
  • one year ago

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  1. SUROJ
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    \[(5\div60)x =-60\]

    • one year ago
  2. waterineyes
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    Five sixths of a number means: Let the number be x.. So Five sixths of this number x will be : \(\frac{5}{6} \; of \;x = \frac{5}{6}x\)

    • one year ago
  3. waterineyes
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    This is given equal to -60.. So: \[\frac{5}{6}x = -60\] Now here you have to find x..

    • one year ago
  4. waterineyes
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    Getting this much @rannsan

    • one year ago
  5. rannsan
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    I am trying to follow

    • one year ago
  6. waterineyes
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    Read the question and tell me what is that you are not understanding?? Is question clear to you or not ??

    • one year ago
  7. rannsan
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    it is clear I am following you I am just confused as to how to find what x is.

    • one year ago
  8. waterineyes
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    You have to get rid of 5/6 there.. Can you multiply both the sides by 6??

    • one year ago
  9. SUROJ
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    just multiply -60 with 6 and divide by 5

    • one year ago
  10. waterineyes
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    \[\frac{5}{6}x \times 6= -60 \times 6\]

    • one year ago
  11. rannsan
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    (-60)6 and divide by 5?

    • one year ago
  12. waterineyes
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    Can you solve that I have written above ??

    • one year ago
  13. rannsan
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    NO

    • one year ago
  14. waterineyes
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    Can't you cancel 6 with 6 on Left hand side ??

    • one year ago
  15. rannsan
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    5X = -60?

    • one year ago
  16. waterineyes
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    No.. You have to multiply 6 with -60.. On Right hand side why you cancelled 6 ??

    • one year ago
  17. rannsan
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    oops I misunderstood that one

    • one year ago
  18. waterineyes
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    \[\frac{5x}{\cancel{6}} \times \cancel{6} = -60 \times 6\] \[5x = -360\] Now divide by 5 both the sides to get x..

    • one year ago
  19. rannsan
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    \[5x \times = -60 \times 5x = -360

    • one year ago
  20. rannsan
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    I am still not following

    • one year ago
  21. waterineyes
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    Where you lost ??

    • one year ago
  22. rannsan
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    on everything...

    • one year ago
  23. rannsan
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    I need step by step once again please.

    • one year ago
  24. waterineyes
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    \[\frac{5}{6}x \times 6= -60 \times 6\] Till this are you clear ??

    • one year ago
  25. rannsan
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    (5/6x)6 = -60

    • one year ago
  26. waterineyes
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    Why are not multiplying 6 on right hand side ??

    • one year ago
  27. rannsan
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    I thought I was

    • one year ago
  28. waterineyes
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    Multiplying 6 both sides means you have to multiply 6 on left as well as right hand side.. You have multiplied with left hand side only..

    • one year ago
  29. rannsan
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    oh ok let me see

    • one year ago
  30. rannsan
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    (5/6x)6 = -60x6

    • one year ago
  31. waterineyes
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    Yes..

    • one year ago
  32. waterineyes
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    Now on left hand side you can cancel 6 with bottom 6 right ??

    • one year ago
  33. rannsan
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    (5x)6 = -60x6

    • one year ago
  34. waterineyes
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    Do you know how we cancel things ??

    • one year ago
  35. rannsan
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    no

    • one year ago
  36. waterineyes
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    See: you have cancel one 6 in left hand side.. but how can you cancel one 6?? you can cancel two 6 and that too will be in the form: 6 - 6 you can cancel them. 6/6 here also you can cancel them.. Getting ??

    • one year ago
  37. waterineyes
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    See like this: \[\frac{5x}{\cancel{6}} \times \cancel{6} = -60 \times 6\] So you are left with now: \[5x = -360\]

    • one year ago
  38. rannsan
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    yes

    • one year ago
  39. waterineyes
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    Sure no?? Getting ??

    • one year ago
  40. rannsan
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    I am getting it, writing notes

    • one year ago
  41. waterineyes
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    Now you are just one step away: You just need to divide by 5 both the sides to get rid of 5 attached to x.. can you do that? Both the sides means you will be divide left as well as right hand side by 5.. Show me what you did..

    • one year ago
  42. waterineyes
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    Are you really typing @rannsan

    • one year ago
  43. rannsan
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    5(5x) = (5)-360 25= -360(5) 25=-503.8 Ok I know that is wrong

    • one year ago
  44. waterineyes
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    I think you are multiplying.. I said to divide.. You know what divide means ??

    • one year ago
  45. rannsan
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    You did say divide I was multiplying

    • one year ago
  46. rannsan
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    \[5\div5x = 1\]

    • one year ago
  47. rannsan
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    \[-360\div5\]

    • one year ago
  48. waterineyes
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    No you are still doing opposite: \[\frac{5x}{5} = \frac{-360}{5}\] Can you do this now ??

    • one year ago
  49. rannsan
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    5x/5 = -360/5

    • one year ago
  50. waterineyes
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    Yes..

    • one year ago
  51. waterineyes
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    Now when you cancel top 5 with bottom 5 you will left with x and not 1.. Right ??

    • one year ago
  52. rannsan
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    x only

    • one year ago
  53. waterineyes
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    Yes.. This is on left hand side.. now can you solve right hand side??

    • one year ago
  54. rannsan
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    x= -360/5

    • one year ago
  55. rannsan
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    I divide the 5 by the -360?

    • one year ago
  56. waterineyes
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    Yes.. go ahead..

    • one year ago
  57. waterineyes
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    \[\frac{-360}{5} = ??\]

    • one year ago
  58. rannsan
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    -647.8

    • one year ago
  59. rannsan
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    I know ight isn't right

    • one year ago
  60. rannsan
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    -360/5

    • one year ago
  61. waterineyes
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    \[\frac{-360}{5} = -72\]

    • one year ago
  62. rannsan
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    -360/5=-72

    • one year ago
  63. rannsan
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    thank you! once again

    • one year ago
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