Nokea
Which of the following is the correct decimal placement for the product of 1.3 × 0.47?
- A. 0.611
- B. 6.11
- C. 0.00611
- D. 0.0611
Correct Answer: A
Rationale: Multiplying 1.3 by 0.47 gives 0.611.
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Based on the table showing healthcare spending per capita in a group of African nations, which country experienced the greatest change in dollars spent per capita from 2013 to 2015?
- A. Eritrea 2013 ($56), 2015 ($42)
- B. Nigeria 2013 ($16), 2015 ($21)
- C. Tanzania 2013 ($68), 2015 ($8)
- D. Kenya 2013 ($81), 2015 ($88)
Correct Answer: C
Rationale: To determine the country with the most significant change in healthcare spending per capita, we calculate the difference between the spending in 2015 and 2013 for each country. In the case of Tanzania, the expenditure decreased from $68 in 2013 to $8 in 2015, indicating the largest drop in dollars spent per capita among the options provided. Therefore, the correct answer is C, Tanzania.
What length of plastic barrier is needed to enclose a circular flower bed with a 5-foot diameter? Use π = 3.14.
- A. 19.625 feet
- B. 15.7 feet
- C. 31.4 feet
- D. 7.85 feet
Correct Answer: B
Rationale: To calculate the length of the plastic barrier needed to enclose a circular flower bed, you must find the circumference (C) using the formula C = π * d, where d is the diameter. Substituting the values, C = 3.14 * 5 = 15.7 feet. Therefore, 15.7 feet of plastic barrier is required to enclose the flower bed. The correct answer is B, '15.7 feet,' as it corresponds to the calculated circumference of the circular flower bed.
Four friends are sharing a pizza. One friend eats half of the pizza. The other three friends equally divide the rest among themselves. What portion of the pizza did each of the other three friends receive?
- A. 1/6
- B. 1/4
- C. 1/3
- D. 1/6
Correct Answer: D
Rationale: After one friend eats half of the pizza, half of the pizza remains to be divided among the other three friends. Dividing this remaining half equally among three friends means each friend receives 1/6 of the pizza (1/2 · 3 = 1/6). Therefore, each of the other three friends receives 1/6 of the pizza.
A sweater that normally sells for $87 is marked 25% off. Which of the following estimates the sale price of the sweater?
- A. $36
- B. $65
- C. $51
- D. $22
Correct Answer: B
Rationale: To calculate the sale price after a 25% discount, you need to find 25% of the original price and subtract it from the original price. 25% of $87 is $21.75 ($87 x 0.25 = $21.75). Subtracting this from the original price gives you $87 - $21.75 = $65, which is the estimated sale price of the sweater.
Simplify the expression: [2(3 + 5 - 3)] / (12 + 2). What is the result of this expression?
- A. 12
- B. 1
- C. 8
- D. 2.57
Correct Answer: D
Rationale: To simplify the given expression [2(3 + 5 - 3)] / (12 + 2), follow the order of operations (PEMDAS/BODMAS). First, calculate the operations within the parentheses: 3 + 5 - 3 = 5. Substitute the result back into the expression to get [2(5)] / (12 + 2). Next, calculate within the brackets: 2(5) = 10. Now, the expression becomes 10 / 14. Simplifying further, 10 / 14 = 5 / 7 = 0.7142 (rounded to two decimal places). Therefore, the result of the expression is approximately 0.71, which corresponds to choice D.