The correct answer is: [C]: " -5 ΙxΙ = 25 " .
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In this answer choice, when you divide each side by "-5" ;
you get: " ΙxΙ = -5 ;
If x = 5, the result is "5" ; NOT "-5" .
If x = -5, the result is "5" ; NOT "-5" .
The "absolute value" of a value is always "zero" or greater.
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Answer choice: [C]: has no solution.
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0000000000000000000000000000000
Let's forget for the tie being the cost ($3.5)of the 1st fifth of a mile:
Taxi charge excluding $3.5, is $13.95 - $3.5 = $10.45.
If each of the 5th (1/5) of a mile costs $0.55, then with $10.45 we can drive:
10.45/0.55 = 19 fifth of a mile. Add to that the 1st fifth = 20 fifth of a mile
20 fifth = 20 x 1/5 = 4 miles (answer)
Muitply by two on both sides then subtract then divide to find x
