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How many liters are in 300 milliliters?
- A. 0.3 liters
- B. 3 liters
- C. 0.03 liters
- D. 3.30 liters
Correct Answer: A
Rationale: To convert milliliters to liters, divide by 1000 because 1 liter is equal to 1000 milliliters. Therefore, 300 milliliters is equal to 0.3 liters (300 · 1000 = 0.3). The correct answer is 0.3 liters, as 300 milliliters is a fraction of a liter, not a whole liter.
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Evaluate ab^2 - ac if a=c, b=-4, and c=-5
- A. 56
- B. 63
- C. -23
- D. -5
Correct Answer: C
Rationale: To evaluate the expression ab^2 - ac when a=c, b=-4, and c=-5, substitute these values into the expression. We get (-4)(-5)^2 - (-5) = (-4)(25) + 5 = -100 + 5 = -95. Therefore, the correct answer is -95, not 63 as previously stated. Hence, the correct answer is option C, which is -95.
How many gallons are in 576 fluid ounces?
- A. 4 gallons
- B. 4.5 gallons
- C. 5 gallons
- D. 6 gallons
Correct Answer: B
Rationale: To convert fluid ounces to gallons, you need to divide by 128, as 1 gallon is equivalent to 128 fluid ounces. So, 576 fluid ounces divided by 128 equals 4.5 gallons. Therefore, there are 4.5 gallons in 576 fluid ounces. Understanding conversion factors is essential for accurately working with different units of volume.
Subtract: 9/12 - 3/12
- A. 1/3
- B. 1/2
- C. 1/4
- D. 1/6
Correct Answer: B
Rationale: To subtract fractions with the same denominator, subtract the numerators. In this case, 9/12 - 3/12 = (9-3)/12 = 6/12. Then, simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 6. Thus, 6/12 simplifies to 1/2.
Karen went to the grocery store with $40. She bought a carton of milk for $1.85, a loaf of bread for $3.20, and a bunch of bananas for $3.05. How much money does she have left?
- A. $30.95
- B. $31.90
- C. $32.10
- D. $34.95
Correct Answer: B
Rationale: To determine how much money Karen has left, we need to subtract the total cost of the items she purchased from the initial amount. The total cost of the items is $1.85 + $3.20 + $3.05 = $8.10. Subtracting $8.10 from $40, we find $40 - $8.10 = $31.90. Therefore, Karen has $31.90 remaining after buying the items.
If a caregiver changes their baby 6 times a day, how many diapers will be needed in a year?
- A. 2160 diapers
- B. 2100 diapers
- C. 2190 diapers
- D. 6000 diapers
Correct Answer: C
Rationale: To determine the total number of diapers needed in a year, multiply the number of diaper changes per day (6) by the number of days in a year. Therefore, 6 diaper changes per day * 365 days per year = 2190 diapers. Hence, 2190 diapers will be needed in a year to keep up with the 6 diaper changes per day.