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pentagon [3]
3 years ago
13

Use the associative property to identify which expression is equal to (10)(5x)(7). 1.(7)(5x)(10) 2. 10(5x + 7) 3. (5x)(10)(7) 4.

(10x5)(x.7)
Mathematics
1 answer:
8090 [49]3 years ago
6 0
Associative property is dealing with parentahsees and orders
it is
a(bc)=(ab)c and
a+(b+c)=(a+b)+c

so we want the multiplication one

given
(10)(5x)(7)
we can arragnge these a number of ways (we should use commutative property, but whatever)

first one works, the 7 was moved to front
2nd is wrong, that is a wierd version of the distributive
3rd is right, 5x was moved to the front
4th is wack, no bueno


answer is 1st and 3rd options
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6 0
2 years ago
Yesterday, Pablo had 4 4/9 quarts of iced tea, and Rosa had 3 5/12 quarts of iced tea.
Dima020 [189]

1. How much more iced tea did Pablo have than Rosa?

  • = 4 4/9 - 3 5/12
  • = 40/9 - 41/12
  • = 40/9 - 41/12
  • = (40 × 4)/(9 × 4) - (41 × 3)/(12 × 3)
  • = 160/36 - 123/36
  • = 37/36
  • = 37/36
  • = 1 1/36

Pablo has 1 1/36 quarts of ice tea more than Rosa.

2.  Pablo gave Rosa 15% of his iced tea today. How much iced tea do each of them have now? Write your answer in fraction form.

      Iced tea given

  • = 15% × 4 4/9
  • = 15/100 × 40/9
  • = 600/900
  • = 2/3

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  • = 40/9 - 2/3
  • = 40/9 - (2 × 3)/(3×3)
  • = 40/9 - 6/9
  • = 34/9
  • = 3 7/9

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  • = 41/12 + 2/3
  • = 41/12 + (2 × 4)/(3 × 4)
  • = 41/12 + 8/12
  • = 49/12
  • = 4 1/12

Pablo has 3 7/9 quarts of iced tea and Rosa has 4 1/12 quarts.

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