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The Distance from Austin, Texas, to Lincoln, Nebraska, Is 822

Question 72

Multiple Choice

The distance from Austin, Texas, to Lincoln, Nebraska, is 822 miles by car. Which of the following series of calculations will yield this distance in units of kilometers? (1 in = 2.54 cm (exact) , 1 mi = 5280 ft (exact) , 1 ft = 12 in (exact) )


A) 822mi×5280ft1mi×1ft12in×2.54 cm1in×100 m1 cm×1 km1000 m822 \mathrm { mi } \times \frac { 5280 \mathrm { ft } } { 1 \mathrm { mi } } \times \frac { 1 \mathrm { ft } } { 12 \mathrm { in } } \times \frac { 2.54 \mathrm {~cm} } { 1 \mathrm { in } } \times \frac { 100 \mathrm {~m} } { 1 \mathrm {~cm} } \times \frac { 1 \mathrm {~km} } { 1000 \mathrm {~m} }
B) 822mi×12ft1in×1in2.54 cm×1760yd1mi×1 km1000 m822 \mathrm { mi } \times \frac { 12 \mathrm { ft } } { 1 \mathrm { in } } \times \frac { 1 \mathrm { in } } { 2.54 \mathrm {~cm} } \times \frac { 1760 \mathrm { yd } } { 1 \mathrm { mi } } \times \frac { 1 \mathrm {~km} } { 1000 \mathrm {~m} }
C) 822mi×5280ft1mi×12ft1in×1 cm2.54in×1 m100 cm×1 km1000 m822 \mathrm { mi } \times \frac { 5280 \mathrm { ft } } { 1 \mathrm { mi } } \times \frac { 12 \mathrm { ft } } { 1 \mathrm { in } } \times \frac { 1 \mathrm {~cm} } { 2.54 \mathrm { in } } \times \frac { 1 \mathrm {~m} } { 100 \mathrm {~cm} } \times \frac { 1 \mathrm {~km} } { 1000 \mathrm {~m} }
D) 822mi×5280ft1mi×12in1ft×2.54 cm1in×1 m100 cm×1 km1000 m822 \mathrm { mi } \times \frac { 5280 \mathrm { ft } } { 1 \mathrm { mi } } \times \frac { 12 \mathrm { in } } { 1 \mathrm { ft } } \times \frac { 2.54 \mathrm {~cm} } { 1 \mathrm { in } } \times \frac { 1 \mathrm {~m} } { 100 \mathrm {~cm} } \times \frac { 1 \mathrm {~km} } { 1000 \mathrm {~m} }
E) 822mi×12in1ft×2.54 cm1ft×1 km1000 m822 \mathrm { mi } \times \frac { 12 \mathrm { in } } { 1 \mathrm { ft } } \times \frac { 2.54 \mathrm {~cm} } { 1 \mathrm { ft } } \times \frac { 1 \mathrm {~km} } { 1000 \mathrm {~m} }

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