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rannsan

  • 2 years ago

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

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  1. SUROJ
    • 2 years ago
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    \[(5\div60)x =-60\]

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

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

  4. waterineyes
    • 2 years ago
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    Getting this much @rannsan

  5. rannsan
    • 2 years ago
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    I am trying to follow

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

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

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

  9. SUROJ
    • 2 years ago
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    just multiply -60 with 6 and divide by 5

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

  11. rannsan
    • 2 years ago
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    (-60)6 and divide by 5?

  12. waterineyes
    • 2 years ago
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    Can you solve that I have written above ??

  13. rannsan
    • 2 years ago
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    NO

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

  15. rannsan
    • 2 years ago
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    5X = -60?

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

  17. rannsan
    • 2 years ago
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    oops I misunderstood that one

  18. waterineyes
    • 2 years ago
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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..

  19. rannsan
    • 2 years ago
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    \[5x \times = -60 \times 5x = -360

  20. rannsan
    • 2 years ago
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    I am still not following

  21. waterineyes
    • 2 years ago
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    Where you lost ??

  22. rannsan
    • 2 years ago
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    on everything...

  23. rannsan
    • 2 years ago
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    I need step by step once again please.

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

  25. rannsan
    • 2 years ago
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    (5/6x)6 = -60

  26. waterineyes
    • 2 years ago
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    Why are not multiplying 6 on right hand side ??

  27. rannsan
    • 2 years ago
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    I thought I was

  28. waterineyes
    • 2 years ago
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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..

  29. rannsan
    • 2 years ago
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    oh ok let me see

  30. rannsan
    • 2 years ago
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    (5/6x)6 = -60x6

  31. waterineyes
    • 2 years ago
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    Yes..

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

  33. rannsan
    • 2 years ago
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    (5x)6 = -60x6

  34. waterineyes
    • 2 years ago
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    Do you know how we cancel things ??

  35. rannsan
    • 2 years ago
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    no

  36. waterineyes
    • 2 years ago
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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 ??

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

  38. rannsan
    • 2 years ago
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    yes

  39. waterineyes
    • 2 years ago
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    Sure no?? Getting ??

  40. rannsan
    • 2 years ago
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    I am getting it, writing notes

  41. waterineyes
    • 2 years ago
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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..

  42. waterineyes
    • 2 years ago
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    Are you really typing @rannsan

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

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

  45. rannsan
    • 2 years ago
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    You did say divide I was multiplying

  46. rannsan
    • 2 years ago
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    \[5\div5x = 1\]

  47. rannsan
    • 2 years ago
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    \[-360\div5\]

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

  49. rannsan
    • 2 years ago
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    5x/5 = -360/5

  50. waterineyes
    • 2 years ago
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    Yes..

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

  52. rannsan
    • 2 years ago
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    x only

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

  54. rannsan
    • 2 years ago
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    x= -360/5

  55. rannsan
    • 2 years ago
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    I divide the 5 by the -360?

  56. waterineyes
    • 2 years ago
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    Yes.. go ahead..

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

  58. rannsan
    • 2 years ago
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    -647.8

  59. rannsan
    • 2 years ago
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    I know ight isn't right

  60. rannsan
    • 2 years ago
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    -360/5

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

  62. rannsan
    • 2 years ago
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    -360/5=-72

  63. rannsan
    • 2 years ago
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    thank you! once again

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