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The length of a rectangular room is 5 feet greater than its width. Which of the following equations represents the area (A) of the room?
- A. A = x(x + 5)
- B. A = 2x + 2(x + 5)
- C. A = x(x + 5)
- D. A = 5x
Correct Answer: C
Rationale: To find the area of a rectangle, you multiply its length by its width. In this case, the width is represented by x, and the length is x + 5 (since it is 5 feet greater). Therefore, the correct equation for the area (A) of the room is A = x(x + 5). This equation correctly calculates the area by multiplying the width by the length, providing the correct representation of the room's area.
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A pharmaceutical company's stock price was $50.33 on Monday. On Tuesday, the price increased by $2.35. On Wednesday, the price decreased by $1.07 from Tuesday's price. On Thursday, the price increased by $0.75 from Wednesday's price. What was the final price on Thursday?
- A. $53.43
- B. $54.50
- C. $52.36
- D. $50.85
Correct Answer: C
Rationale: To find the final price on Thursday, start with $50.33 (Monday's price) and apply the changes: +$2.35 (Tuesday's increase), -$1.07 (Wednesday's decrease), and +$0.75 (Thursday's increase). Calculate the total by adding and subtracting the price changes: $50.33 + $2.35 - $1.07 + $0.75 = $52.36. Therefore, the final price on Thursday was $52.36. The correct answer is $52.36, as calculated from the given price changes throughout the week.
A temperature gauge reads 95F. Which of the following is the correct conversion to degrees Celsius? (Note: C = 5/9[F - 32])
- A. 113C
- B. 63C
- C. 35C
- D. 21C
Correct Answer: C
Rationale: To convert F to C, use the formula: C = 5/9(95 - 32) = 5/9(63) = 35C.
The Americans with Disabilities Act (ADA) requires the slope of a wheelchair ramp to be no greater than 1:12. What is the minimum length of the ramp needed to provide access to a door that is 2.5 feet above the sidewalk?
- A. 25 feet
- B. 30 feet
- C. 32.5 feet
- D. 14.5 feet
Correct Answer: B
Rationale: To determine the minimum length of the ramp needed to provide access to a door elevated 2.5 feet above the sidewalk, we divide the vertical rise (2.5 feet) by the slope ratio (1:12). This calculation results in 2.5 feet divided by 1/12, which equals 30 feet. Therefore, a 30-foot ramp is required to meet the ADA requirement of a 1:12 slope, ensuring proper wheelchair access to a door elevated 2.5 feet above the sidewalk.
Elevation above sea level and temperature are negatively correlated variables. Which of the following statements describes the relationship between the variables?
- A. As elevation decreases, temperature decreases
- B. As elevation decreases, temperature remains the same
- C. As elevation increases, temperature increases
- D. As elevation increases, temperature decreases
Correct Answer: D
Rationale: When two variables are negatively correlated, as one variable increases, the other decreases. In this case, as elevation above sea level increases, the temperature decreases. This relationship is often observed due to changes in atmospheric pressure and temperature with altitude. As altitude rises, the air becomes less dense, leading to lower temperatures. Therefore, the correct statement is 'As elevation increases, temperature decreases.' This relationship is crucial in understanding climate patterns, especially in mountainous regions where temperature changes significantly with elevation.
If a box of 35 syringes costs $560.00, what is the cost for two syringes?
- A. $8.00
- B. $16.00
- C. $15.00
- D. $32.00
Correct Answer: D
Rationale: To determine the cost for two syringes, you first need to calculate the cost per syringe by dividing the total cost of the box by the total number of syringes in the box: $560.00 · 35 syringes = $16.00 per syringe. Therefore, each syringe costs $16.00. To find the cost of two syringes, you multiply the cost per syringe by 2: $16.00 x 2 = $32.00. Hence, the correct answer is option D, which is $32.00 for two syringes.