Math Problem Statement
Select the correct answer. The height of each story of an office building is 9 3/4 feet. The height is measured from the ceiling to the floor. The building has three underground levels for parking. A car is parked two levels below ground. At what elevation are the car’s tires relative to the ground level? Assume the ground level is at zero feet. A. -19 1/2 feet B. -12 feet C. 8 feet D. 19 1/2 feet
Solution
Given that each story of the office building is 9 3/4 feet in height and the building has three underground levels, we need to determine the elevation of a car parked two levels below ground.
First, let's convert 9 3/4 feet to an improper fraction for easier calculations:
Since the car is parked two levels below ground, we need to find the height of these two levels combined:
Since the car is parked below ground, the elevation relative to the ground level (which is 0 feet) will be negative:
So, the correct answer is:
Would you like further details or have any questions?
Here are 5 questions you might ask next:
- How do you convert mixed numbers to improper fractions?
- How do you multiply fractions?
- How do you convert an improper fraction back to a mixed number?
- What are some common mistakes to avoid when working with negative elevations?
- How do you calculate the total height for multiple levels?
Tip: Always double-check your calculations to ensure accuracy, especially when working with fractions and negative numbers.
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Math Problem Analysis
Mathematical Concepts
Fraction Arithmetic
Negative Numbers
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8
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