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

Respuesta :

Answer:

Choice C is not equivalent to 2.50 miles.

Explanation:

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

mi - ft

[tex]x = (2.50\,mi)\cdot \left(5280\,\frac{ft}{mi} \right)[/tex]

[tex]x = 13200\,ft[/tex]

[tex]x = 1.320\times 10^{4}\,ft[/tex] (Choice A)

mi - in

[tex]x = (2.50\,mi)\cdot \left(5280\,\frac{ft}{mi} \right)\cdot \left(12\,\frac{in}{ft} \right)[/tex]

[tex]x = 158400\,in[/tex]

[tex]x = 1.584\times 10^{5}[/tex] (Choice B)

mi - km

[tex]x = (2.50\,mi)\cdot \left(1.61\,\frac{km}{mi} \right)[/tex]

[tex]x = 4.025\,km[/tex] (Different from Choice C)

mi - yd

[tex]x = (2.50\,mi)\cdot \left(5280\,\frac{ft}{mi}\right) \cdot \left(\frac{1}{3}\,\frac{yd}{ft} \right)[/tex]

[tex]x = 4400\,yd[/tex]

[tex]x = 4.40\times 10^{3}\,yd[/tex] (Choice D)

mi - cm

[tex]x = (2.50\,mi)\cdot \left(1.61\,\frac{km}{mi} \right)\cdot \left(100000\,\frac{cm}{km}\right)[/tex]

[tex]x = 402500\,cm[/tex]

[tex]x = 4.025\times 10^{5}\,cm[/tex] (Choice E)

Choice C is not equivalent to 2.50 miles.