Convert 3/5 to a decimal.
- A. 0.06
- B. 0.6
- C. 3.5
- D. 1.6
Correct Answer: B
Rationale: To convert a fraction to a decimal, you divide the numerator by the denominator. In this case, 3 · 5 = 0.6. Therefore, the correct answer is B) 0.6.
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Round to the nearest percentage point: Gerald made 13 out of the 22 shots he took in the basketball game. What was his shooting percentage?
- A. 13%
- B. 22%
- C. 59%
- D. 67%
Correct Answer: C
Rationale: To calculate Gerald's shooting percentage, divide the number of shots made (13) by the total shots taken (22) to get the fraction of shots made. Then, multiply this fraction by 100 to convert it to a percentage. The calculation is (13/22) * 100 = 0.59 * 100 = 59%. Therefore, Gerald's shooting percentage is 59%, which corresponds to choice C.
A recipe calls for 1 1/2 cups of milk. This recipe calls for how many ounces of milk? (Enter numeric value only.)
- A. 8
- B. 10
- C. 12
- D. 16
Correct Answer: C
Rationale: Correct Answer: C (12 ounces)
Rationale:
1 1/2 cups of milk is equivalent to 12 ounces. To convert cups to ounces, we know that 1 cup equals 8 ounces. Therefore, 1 1/2 cups is 1 cup (8 oz) + 1/2 cup (4 oz) = 12 ounces in total.
Summary:
A: 8 ounces - Incorrect, 1 cup is 8 ounces, but this recipe requires 1 1/2 cups.
B: 10 ounces - Incorrect, not the correct conversion for 1 1/2 cups of milk.
D: 16 ounces - Incorrect, this is double the amount needed in the recipe.
Therefore, the correct answer is C (12 ounces) as it accurately converts 1 1/2 cups of milk to ounces.
Farmer Juan has 14 acres. There is an average yield of 17,460 eggs per acre. The profit per egg is $1.65. What profit should Farmer Juan expect for 14 acres?
- A. $403,326
- B. $148,145.45
- C. $244,440
- D. $2,057.79
Correct Answer: A
Rationale: To calculate Farmer Juan's profit for 14 acres, multiply the total number of eggs (14 acres * 17,460 eggs/acre) by the profit per egg ($1.65). This computation results in: 14 * 17,460 * $1.65 = $403,326. Therefore, Farmer Juan should expect a profit of $403,326 for 14 acres. Each acre produces 17,460 eggs, and since Farmer Juan has 14 acres, the total number of eggs is 14 * 17,460 = 243,240 eggs. Multiplying the total eggs by the profit per egg ($1.65) gives the total profit: 243,240 * $1.65 = $403,326. Hence, Farmer Juan should expect a profit of $403,326 for 14 acres.
What is the result of subtracting 9 from 28.19?
- A. 28.1
- B. 18.19
- C. 27.29
- D. 19.19
Correct Answer: D
Rationale: To find the result of subtracting 9 from 28.19, you need to subtract 9 from 28.19. The calculation is 28.19 - 9 = 19.19. Therefore, the correct answer is D, 19.19. When subtracting a whole number from a decimal number, it is essential to align the decimal points and perform the subtraction correctly. In this case, the 9 is subtracted from the 0.19, resulting in the final answer of 19.19. It's crucial to pay attention to place value and the position of the decimal point to ensure the accuracy of the result.
Multiply: 3 2/11 x 2 1/5, reduced to lowest terms =
- A. 5 3/16
- B. 6 2/55
- C. 385/55
- D. 7
Correct Answer: D
Rationale: To multiply mixed numbers, convert them to improper fractions. 3 2/11 = 35/11, 2 1/5 = 11/5. Multiply: (35/11) x (11/5) = 385/55. Simplify to lowest terms = 7, hence the correct answer is D. Choices A, B, and C are incorrect as they do not properly convert and multiply the mixed numbers.
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