What is the equivalent weight of 50 kg in pounds (1 kg = 2.2 lb)?
- A. 110 lb
- B. 220 lb
- C. 52.2 lb
- D. 22.7 lb
Correct Answer: A
Rationale: To convert 50 kg to pounds, we need to multiply by the conversion factor 2.2 lb/kg. Therefore, 50 kg * 2.2 lb/kg = 110 lb. The correct answer is A, which is 110 lb. The provided conversion factor (1 kg = 2.2 lb) is used to convert kilograms to pounds. By multiplying 50 kg by the conversion factor, we get the equivalent weight in pounds, which is 110 lb.
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What is the decimal form of 87.5%?
- A. 0.875
- B. 875
- C. 8.75
- D. 8,750
Correct Answer: A
Rationale: To convert a percentage to a decimal, you move the decimal point two places to the left. In this case, to convert 87.5% to a decimal, you move the decimal point two places to the left, resulting in 0.875. Therefore, the correct answer is A, 0.875, as it represents 87.5% in decimal form. Remember that the decimal form of a percentage is always less than 1, which is why choices B, C, and D are incorrect as they do not follow this conversion rule.
As the number of credit hours a student takes in a semester increases, the amount of tuition, access fees, and the number of student loans available also increase. Which of the following is the independent variable?
- A. Amount of tuition
- B. Number of credit hours
- C. Number of student loans available
- D. Amount of access fees
Correct Answer: B
Rationale: The independent variable in this scenario is the number of credit hours taken by the student. The independent variable is the one that is manipulated or controlled in an experiment to observe its effect on the dependent variables. In this case, the dependent variables are the amount of tuition, access fees, and the number of student loans available. By changing the number of credit hours, it influences the other variables, making it the independent variable.
A student performs the following estimations: 24 + 190 = 210, 151 + 319 = 470, 974 + 1022 = 1990. Based on these estimations, what is the student's estimate of 452 + 5017?
- A. 5430
- B. 5470
- C. 5500
- D. 5400
Correct Answer: B
Rationale: The student's pattern involves rounding numbers to the nearest tens or hundreds to simplify calculations. By analyzing the given examples, it is evident that the student tends to round numbers up or down, leading to slight variations from the exact sum. Applying the same strategy to 452 and 5017, we can estimate 450 + 5020 = 5470. Therefore, choice B is the correct estimate for the sum of 452 + 5017.
A couple dining at a restaurant receives a bill for $38.40. They wish to leave a 15% gratuity. What is the estimated gratuity amount?
- A. $6.00
- B. $5.00
- C. $4.00
- D. $7.00
Correct Answer: A
Rationale: To calculate the 15% gratuity on a $38.40 bill, you multiply the bill amount by 0.15 (15%): $38.40 x 0.15 = $5.76. Since gratuity amounts are typically rounded up, the estimated gratuity would be $6.00, making choice A the correct answer. In this case, rounding up to the nearest whole dollar is common practice in gratuity calculations to simplify tipping and ensure a fair amount for the service provided.
Which of the following translates the phrase '5 less than 2 times a number' into a mathematical expression?
- A. 5 - 2x
- B. 5x - 2
- C. 2x - 5
- D. 2 - 5x
Correct Answer: C
Rationale: To translate the phrase '5 less than 2 times a number' into a mathematical expression, you first express '2 times a number' as 2x. Then, '5 less than' indicates subtracting 5 from the result, leading to 2x - 5. Therefore, choice C, 2x - 5, correctly represents the given phrase in a mathematical expression.
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