A consumer purchases a new sofa that is on sale for 10% off. The original price of the sofa is $950. Which of the following prices represents the sale price of the sofa before taxes are applied?
- A. $940
- B. $855
- C. $85
- D. $95
Correct Answer: B
Rationale: To find the sale price before taxes, you need to deduct 10% of the original price ($950) from the original price. This is calculated as follows: $950 - ($950 * 0.10) = $950 - $95 = $855. Therefore, the sale price of the sofa before taxes is $855. This calculation involves applying the 10% discount to the original price to determine the reduced sale price. The correct answer is $855.
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A bag contains five green balls, four red balls, and three yellow balls. If one ball is randomly selected from the bag, what is the probability that the ball is red?
- A. 4/12
- B. 5/12
- C. 1/4
- D. 1/2
Correct Answer: A
Rationale: To find the probability of selecting a red ball, we calculate the total number of balls in the bag, which is 5 (green) + 4 (red) + 3 (yellow) = 12 balls. The probability is the number of favorable outcomes (4 red balls) divided by the total number of outcomes (12 balls), giving us 4/12 or 1/3. Therefore, the correct answer is A, representing a probability of 1/3 for selecting a red ball from the bag.
A temporary gauge reads 95F. Which of the following is the correct conversion to degrees Celsius ( Note: C = 5/9 (F = 32))
- A. 21° C
- B. 113° C
- C. 63° C
- D. 35° C
Correct Answer: D
Rationale: Using the formula C = 5/9(F - 32): 95F - 32 = 63; 63 × 5/9 ? 35C.
A student's savings account balance changed from $1,140 on March 15 to $1,450 on August 15. Which of the following amounts is the average rate of change per month in their account?
- A. $290
- B. $310
- C. $621
- D. $52
Correct Answer: D
Rationale: To calculate the average rate of change per month, we first find the total change in the account balance, which is $1,450 - $1,140 = $310. The time period is 5 months (from March to August). Dividing the total change by the number of months gives us the average rate of change per month: $310 / 5 = $62. Therefore, the correct answer is $52, as it is the closest option to the calculated value.
What is an appropriate unit of measure to express the length of a dollar bill?
- A. Meters
- B. Decimeters
- C. Kilometers
- D. Centimeters
Correct Answer: D
Rationale: Dollar bills are relatively small items, so their length is commonly measured in centimeters. Meters, decimeters, and kilometers are much larger units of length, making centimeters the most suitable unit to accurately express the length of a dollar bill. Centimeters provide a more precise and practical measurement for the size of a dollar bill compared to the other options, which are more suitable for larger distances or objects.
What is the equivalent weight in pounds of 50 kg? (1 kg = 2.2 lb)
- A. 110 lb
- B. 52.2 lb
- C. 22.7 lb
- D. 220 lb
Correct Answer: A
Rationale: To convert kilograms to pounds, you multiply by the conversion factor 2.2 (1 kg = 2.2 lb). Therefore, 50 kg * 2.2 lb/kg = 110 lb. The correct answer is A because 50 kg is equivalent to 110 lb when using the conversion factor.
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