Dimensional Analysis Answers

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While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan now have? Round to the nearest cent.1 European euro = 1.3687 US dollars

A
44.70 US dollars
B
73.06 US dollars
C
136.87 US dollars
D
140.41 US dollars
2
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Which expression can be used to convert 80 US dollars (USD) to Australian dollars (AUD)?1 USD = 1.0343 AUD1 AUD = 0.9668 USD

A
80 U S D times StartFraction 0.9668 U S D Over 1 A U D EndFraction
Option A
B
80 U S D times StartFraction 1.0343 U S D Over 1 A U D EndFraction
Option B
C
80 U S D times StartFraction 0.9668 A U D Over 1 U S D EndFraction
Option C
D
80 U S D times StartFraction 1.0343 A U D Over 1 U S D EndFraction
Option D
3

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
4

Katrina drinks 0.5 gallons of water per day. Which expression shows how to find the number of cups of water she drinks in a week?There are 16 cups in a gallon.

A
× ×
Option A
B
× ×
Option B
C
× ×
Option C
D
× ×
Option D
5

How many inches are in 12 feet?

A
1 inch
B
24 inches
C
120 inches
D
144 inches
6

To fit between two windows, the width of a bookshelf must be no greater than feet. Mrs. Aguilar purchases a bookshelf that is 77 inches wide. Which statement describes the relationship between the width of the bookshelf and the distance between the windows?

Question illustration
A
The bookshelf is 12 inches too wide to fit between the windows.
B
The bookshelf will fit between the windows with no extra room remaining.
C
The bookshelf will fit between the windows with 1 inch remaining.
D
The bookshelf is 5 inches too wide to fit between the windows.
7

Which expression converts 100 inches per minute to feet per minute?

A
×
Option A
B
×
Option B
C
×
Option C
D
×
Option D
8

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

Question illustration
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.
9

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
10

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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