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babymother [125]
3 years ago
10

Last one: which expression is equivalent?

Mathematics
1 answer:
Lady_Fox [76]3 years ago
5 0
It is b 4/3+2/3 is 6/3 and 6/3 divided by 1/3 is 2/3x
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Kat owns 15% more figurines than she did last year. She purchased F figurines this year. Which of the following expressions coul
Stella [2.4K]

Answer:  F / 0.15 = 100F / 15 = 20F / 3 ≈ 6.67F.


Explanation:


1) The three expresssions,  F / 0.15;  15 F / 100; 3F / 20; are equivalent.


2) The number of figurines Kat owned last year may be expressed in terms of the number the of figurines purchased, F, this year, and the 15%, following this procedure:


  • Call n the amount of figurines owned last year.
  • F is the number of figurines purchased: F  = 15%n = 0,15n
  • Hence, you just need to clear F from the expression F = 0.15n
  • Divide both sides by 0.15:

        F / 0.15 = n or n = F / 0.15 (reflexive property)

  • To prove the equialavence of the other expresssions you just have to use the properties of multiplication or division:

       (F / 0.15) × (100 / 100) = 100F / 15

        100F / 15 = (100/5)F / (15/5) = 20F / 3 ≈ 6.67F

 



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Please help. I got an answer but I do not think it is correct.
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