SOLUTION: If {{{x=1+(1/2)+(1/4)+(1/8)}}} and {{{a=1+(1/2)x}}}, then a is how much larger than x? A) 1/48 B) 1/16 C) 3/16 D) 15/16

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Question 1042934: If and , then a is how much larger than x?
A) 1/48
B) 1/16
C) 3/16
D) 15/16

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
First let's simplify the expression for x.














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Now plug into the equation for 'a'





Replace x with 15/8

















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We now know the values of "a" and "x". Let's subtract them.














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The final answer is choice B) 1/16

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