Nokea
What is the appropriate unit of measure to express the weight of a spoon?
- A. Gram
- B. Liter
- C. Kilogram
- D. Milliliter
Correct Answer: A
Rationale: The appropriate unit of measure to express the weight of a spoon is the gram. The gram is a metric unit used for measuring mass or weight, making it suitable for small objects like spoons. Liters and milliliters are units used for measuring volume, while a kilogram is a larger unit of weight, not typically used for measuring the weight of small objects such as spoons.
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What is the value of x in the equation below? 18x - 4 = -10
- A. x = -2 or x = 1
- B. x = -1/3 or x = 2
- C. x = -1/2 or x = 3/2
- D. x = -3/2 or x = 1/2
Correct Answer: B
Rationale: To solve the equation 18x - 4 = -10, first, add 4 to both sides to get 18x = -6. Then, divide by 18 to isolate x, which gives x = -1/3. Therefore, the correct answer is x = -1/3 or x = 2. It's crucial to double-check the solutions in relation to the original equation to ensure accuracy. The error in the original solution is the incorrect value provided for x = -1 which should have been x = -1/3 instead. Hence, the correct solution is x = -1/3 or x = 2.
In the graph above, which represents the amount of rainfall in a particular state by month, what is the total rainfall for the first 3 months of the year?
- A. 3 1/2 inches
- B. 2 inches
- C. 4 inches
- D. 1 1/2 inches
Correct Answer: A
Rationale: To calculate the total rainfall for the first 3 months of the year, you need to add the rainfall amounts for January (1 inch), February (1/2 inch), and March (2 inches) together. This sum gives a total of 3 1/2 inches, making choice A the correct answer.
A macaroni and cheese recipe calls for 1/2 cup of flour for every 1 1/2 cups of milk. To make a bigger batch, the chef uses 2 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?
- A. 3 8/15 cups
- B. 2 11/15 cups
- C. 7 1/15 cups
- D. 6 cups
Correct Answer: A
Rationale: To determine the amount of milk needed for 2 cups of flour, we first establish the ratio of flour to milk in the recipe: 1/2 cup of flour requires 1 1/2 cups of milk. Then, we calculate the amount of milk needed for 2 cups of flour by applying this ratio: 2 cups of flour * (1 1/2 cups of milk / 1/2 cup of flour) = 2 * 3 = 6 cups of milk. Therefore, for the bigger batch using 2 cups of flour, the chef would need 6 cups of milk, which is equivalent to 3 8/15 cups.
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.
What is the best decimal approximation of 10 times the positive square root of 20?
- A. 89.4
- B. 200
- C. 44.7
- D. 100
Correct Answer: C
Rationale: To find 10 times the positive square root of 20, first calculate the square root of 20, which is approximately 4.472. Then, multiply this by 10: 10 * 4.472 ≈ 44.7. The best decimal approximation of 10 times the positive square root of 20 is 44.7, which corresponds to Option C.