Dimensional Analysis Answers

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A group of fitness club members lose a combined total of 28 kilograms in 1 week. There are approximately 2.2 pounds in 1 kilogram. Assuming the weight loss happened at a constant rate, about how many pounds did the group lose each day?

A
8.8 pounds
B
12.7 pounds
C
61.6 pounds
D
89.1 pounds
2
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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

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.
3

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.
4

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
5

A text font fits 12 characters per inch. Using the same font, how many characters can be expected per yard of text? There are 12 inches in a foot, and 3 feet in a yard.

A
36 characters
B
144 characters
C
360 characters
D
432 characters
6

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
7

How many square inches are in 60 square feet?

A
5 square inches
B
72 square inches
C
720 square inches
D
8,640 square inches
8

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
9

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

A
×
Option A
B
×
Option B
C
×
Option C
D
×
Option D
10

How many inches are in 12 feet?

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

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