Dimensional Analysis Answers

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4

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.
5

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
7

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
8

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.

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