Answer:
1.5m
Step-by-step explanation:
Let the length of the pathway across all its side be x. This means we are adding a length of 2x to both the length and breadth to 12+2x and 16+2x respectively.
The new area thus becomes:
(12+2x)(16+2x) = 285
24x + 32x + 192 + 4x^2 = 285
4x^2 + 56x + 192 = 285
4x^2 + 56x + 192 - 285 =0
4x^2 + 56x -93 = 0
4x^2 + 62x - 6x - 93 = 0
2x( 2x + 31) - 3(2x + 31) = 0
(2x - 3)(2x + 31) = 0
This means x = 3/2 or -31/2
Since length cannot be negative , we choose the first and neglect the second meaning our answer is 3/2 which is 1.5 meters
Answer: B
Step-by-step explanation:
Answer: the charge would be the same after 5 miles
Step-by-step explanation:
Let x represent the distance at which both companies charge the same amount.
company A charges a flat fee of four dollars plus 2 dollars per mile. It means that the total charge for x miles would be
4 + 2x
Company B does not charge a flat fee but charges $2.80 per mile driven. It means that the total charge for x miles would be 2.8x.
For the charge to be the same, the number of miles would be
2.8x = 4 + 2x
2.8x - 2x = 4
0.8x = 4
x = 4/0.8
x = 5
