AnswersWV-Algebra I CRDimensional Analysis

Dimensional Analysis Answers

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The maximum height of a vehicle that can safely pass under a bridge is 12 feet 5 inches. A truck measures 162 inches in height. Which best explains whether or not the truck can pass safely under the bridge?

A
The truck can pass safely under the bridge. The truck is 13 inches shorter than the maximum height.
B
The truck cannot pass safely under the bridge. The truck is 13 inches taller than the maximum height.
C
The truck can pass safely under the bridge. The truck is 12 inches shorter than the maximum height.
D
The truck cannot pass safely under the bridge. The truck is 12 inches taller than the maximum height.
2
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What did you include in your response? Check all that apply.

A
The rounded conversion will not give an accurate answer based on the limitations of the problem.
B
Using the more accurate conversion factor will give an answer that can then be rounded to 2 decimal places.
62580

⇒ 30

Answer:

62580

62582

Two competing gyms each offer childcare while parents work out. Gym A charges $9.00 per hour of childcare. Gym B charges $0.75 per 5 minutes of childcare. Which comparison of the childcare costs is accurate?

A
Gym B charges $1.05 less per hour than Gym A.
B
Gym B charges $1.50 less per hour than Gym A.
C
Gym B charges $5.25 less per hour than Gym A.
D
Gym B and Gym A charge the same hourly rate for childcare.
62584

A white-tailed deer can sprint at speeds up to 30 miles per hour. American bison can run at speeds up to 3,520 feet per minute. Which animal is faster and by how many miles per hour? There are 5,280 feet in one mile.

A
A deer is 10 miles per hour faster than a bison.
B
A bison is 10 miles per hour faster than a deer.
C
A deer is 0.66 miles per hour faster than a bison.
D
A bison is 0.66 miles per hour faster than a deer.
62586

The Ruiz family is exchanging euros for US dollars. The exchange rate is 1 euro equals 1.35261 USD. Since the Ruiz family knows that USD are stated to the nearest hundredth of a dollar, they used the conversion ratio. Will this give the Ruiz family the correct exchange? Explain.

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Answer:

No. Using 1.35 USD per euro rounds the exchange rate too early and may give an inaccurate exchange. Use the full rate, 1.35261 USD per euro, for the conversion, then round the final amount to the nearest hundredth.

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