Which pair of rational numbers are equivalent? 1/3 and 0.3 2/5 and 0.25 5/6 and 0.833... 9/10 and 0.09Which pair of rational numbers are equivalent?

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  5/6 and 0.833...

Step-by-step explanation:

  1/3 = 0.333...  not  0.3

  2/5 = 0.4  not  0.25

  5/6 = 0.833...

  9/10 = 0.9  not  0.09

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

where are the choices?