Question

Which one of the following is not equivalent to 2.50 miles?

(1.00 mi = 1.61 km = 5280 ft, 1.00 yd = 3.00 ft = 12.0 in.)
(A) 1.32 x 104 ft
(B) 1.58 x 105 in
(C) 4.02 x 103 km
(D) 4.40 x 103 yd
(E) 4.02 x 105 cm

Answer 1

Choice C is not equivalent to 2.50 miles.

Step-by-step explanation:

The given data is now converted into feet, inches, kilometers, yards and centimeters:

mi - ft

`x = (2.50\,mi)\cdot \left(5280\,(ft)/(mi) \right)`

`x = 13200\,ft`

`x = 1.320* 10^(4)\,ft` (Choice A)

mi - in

`x = (2.50\,mi)\cdot \left(5280\,(ft)/(mi) \right)\cdot \left(12\,(in)/(ft) \right)`

`x = 158400\,in`

`x = 1.584* 10^(5)` (Choice B)

mi - km

`x = (2.50\,mi)\cdot \left(1.61\,(km)/(mi) \right)`

`x = 4.025\,km` (Different from Choice C)

mi - yd

`x = (2.50\,mi)\cdot \left(5280\,(ft)/(mi)\right) \cdot \left((1)/(3)\,(yd)/(ft) \right)`

`x = 4400\,yd`

`x = 4.40* 10^(3)\,yd` (Choice D)

mi - cm

`x = (2.50\,mi)\cdot \left(1.61\,(km)/(mi) \right)\cdot \left(100000\,(cm)/(km)\right)`

`x = 402500\,cm`

`x = 4.025* 10^(5)\,cm` (Choice E)

Choice C is not equivalent to 2.50 miles.