anonymous
  • anonymous
Which equations are equivalent to the given equation? 0.4y=10 Choose all answers that are correct. A. 0.4y=10÷0.4 B. 0.4y÷0.4=10÷0.4 C. 0.4y*2.5=10*2.5 D. 0.4y÷0.4=10*0.4
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
First, what can you do to get y by itself?
anonymous
  • anonymous
I'm completely lost here.
anonymous
  • anonymous
Haha np. We're basically trying to find different ways to simplify. If we have 0.4y=10 we can get y by itself by dividing 0.4 Ex: 0.4y/0.4 gets y alone. But what you do to one side, you must do to the other. So 0.4y/0.4 = 10/0.4

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anonymous
  • anonymous
Does that make sense at all?
anonymous
  • anonymous
So B would be one of the answers?
anonymous
  • anonymous
That would be correct! So when we solve the equation 0.4y=10 we end up with y=10/0.4 y=25. Do you see any other equations that get the same answer?
anonymous
  • anonymous
A?
anonymous
  • anonymous
Well lets try it out. 0.4y = 10/0.4 This simplifies out to be 0.4y = 25 Then, divide 0.4 from y, and (what you do to one side you do to the other) So you're gonna end up with y= 24/0.4 which gives you y=62.5
anonymous
  • anonymous
So A is incorrect
anonymous
  • anonymous
Yes
anonymous
  • anonymous
It looks similar, so its kind of tricky
anonymous
  • anonymous
C is another correct answer. 10*2.5=25
anonymous
  • anonymous
Good job!! 0.4y x 2.5 = 10 x 2.5 0.4y/2.5 = 10 x2.5/2.5 (You do this to cancel it out) So you're gonna end up with 0.4y = 10 which brings you back to your original equation :)
anonymous
  • anonymous
I believe A & C are the only correct answers. Am I correct?
anonymous
  • anonymous
Well remember we proved A to be wrong, because it actually equals 62.5 B and C are the correct ones haha
anonymous
  • anonymous
Sorry I meant B & C
anonymous
  • anonymous
If my question is answered and the only correct answers are B & C then I thank you for helping me with my question and I will reward you with a medal.
anonymous
  • anonymous
I believe those are the only correct ones! We proved A untrue, and D just seems to be all sorts of wrong. So no problem!
anonymous
  • anonymous
Thank you very much.

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