nyjarieusherp4lxcc nyjarieusherp4lxcc
  • 02-03-2018
  • Mathematics
contestada

Which expression is equivalent to 2 3 (3x + 9y) + 1 2 (4x - 2y)? A) x + 4y B) 8x - y C) 4x + 5y D) 2x + 5y

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MsEHolt MsEHolt
  • 28-03-2018
The correct answer is C) 4x + 5y.

We use the Distributive Property on both parts of this:

2/3(3x + 9y) + 1/2(4x - 2y)
= 2/3(3x) + 2/3(9y) + 1/2(4x) - 1/2(2y)
= 6/3x + 18/3y + 4/2x - 2/2y
= 2x + 6y + 2x - 1y

Combine like terms and we have:
4x + 5y
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midiou midiou
  • 28-03-2018
the correct answer is c 


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