Dimensional Analysis Answers

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Alina is able to swim at a rate of about 2.5 miles per hour. Talia is able to swim at a rate of 1.8 meters per second. Which statement comparing the two swimmers is accurate?1 mile 1,609 meters

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A
Alina swims about 0.7 miles per hour faster than Talia.
B
Talia swims about 0.7 miles per hour faster than Alina.
C
Alina swims about 1.5 miles per hour faster than Talia.
D
Talia swims about 1.5 miles per hour faster than Alina.
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Jackrabbits are capable of reaching speeds up to 40 miles per hour. How fast is this in feet per second? (Round to the nearest whole number.) 5,280 feet = 1 mile

A
27 feet per second
B
59 feet per second
C
132 feet per second
D
288 feet per second
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A particular beach is eroding at a rate of 4 centimeters per year. A realtor converts this rate to millimeters per day. Which expression, when evaluated, results in the correct units and numerical value?

A
StartFraction 4 centimeters Over 1 year EndFraction times StartFraction 10 millimeters Over 1 centimeter EndFraction times StartFraction 1 year Over 365 days EndFraction
Option A
B
StartFraction 4 centimeters Over 1 year EndFraction times StartFraction 1 millimeters Over 10 centimeter EndFraction times StartFraction 1 year Over 365 days EndFraction
Option B
C
StartFraction 4 centimeters Over 1 year EndFraction times StartFraction 1 centimeter Over 10 millimeters EndFraction times StartFraction 365 days Over 1 year EndFraction
Option C
D
StartFraction 4 centimeters Over 1 year EndFraction times StartFraction 10 millimeters Over 1 centimeter EndFraction times StartFraction 365 days Over 1 year EndFraction
Option D
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Varia is studying abroad in Europe. She is required to pay $3,500 (in US dollars) per year to the university; however, she must pay in euros. How many euros can Varia expect to pay per month to the university? (Round to the nearest whole euro.) 0.7306euros = 1 US dollar

A
213 euros
B
2,557 euros
C
30,685 euros
D
57,487 euros

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