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Multiply 4/9 x 1 4/5 x 2/5
- A. 8/25
- B. 1 & 10/19
- C. 7/16
- D. 1 & 32/45
Correct Answer: A
Rationale: To multiply the given fractions, first convert the mixed numbers to improper fractions. 1 4/5 = (5*1 + 4)/5 = 9/5. Now the expression becomes 4/9 * 9/5 * 2/5. Multiply the numerators together and the denominators together to get (4*9*2)/(9*5*5) = 72/225. Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 9, to get 8/25. Therefore, the correct answer is 8/25.
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A shopper bought the following items: Shirt $14.95, Pants $22.87, Tie $33.35. How much tax will they have to pay if the tax rate is 7.25%?
- A. $5.16
- B. $7.18
- C. $3.55
- D. $51.59
Correct Answer: A
Rationale: To find the total cost of the items, add the prices: $14.95 + $22.87 + $33.35 = $71.17. Next, calculate the tax amount by multiplying the total cost by the tax rate: $71.17 — 0.0725 = $5.16. Therefore, the shopper will have to pay $5.16 in tax. The correct answer is A) $5.16.
Change the decimal to a percent: 0.000026 =
- A. 0.00%
- B. 0.03%
- C. 2.60%
- D. 26%
Correct Answer: A
Rationale: To convert a decimal to a percentage, you multiply by 100. In this case, 0.000026 * 100 = 0.0026%. When rounded to the nearest hundredth, it becomes 0.00%. Therefore, the correct answer is A, 0.00%.
Report all decimal places: 3.7 + 7.289 + 4 = ?
- A. 15.989
- B. 5.226
- C. 15
- D. 15.07
Correct Answer: A
Rationale: To solve this calculation, add the numbers together: 3.7 + 7.289 + 4 = 15.989. Therefore, the correct answer is A. When adding decimal numbers, it is crucial to maintain the decimal places throughout the calculation to ensure accuracy and report the sum with all decimal places intact. In this case, the sum should be reported as 15.989 to preserve the precision of the original numbers. Remember, when working with decimals, it is essential to pay attention to the decimal places to prevent rounding errors and accurately represent the sum of the numbers involved.
A mother is planning a birthday party for her son and she wants to give each child 15 balloons. There are 50 balloons in each packet she purchases. How many packets of balloons does she need to purchase for a party of 16 children?
- A. 50
- B. 6
- C. 5
- D. 17
Correct Answer: C
Rationale: First, calculate the total number of balloons needed: 15 balloons/child * 16 children = 240 balloons. Next, divide by the number of balloons per packet: 240/50 = 4.8 packets. Since she cannot purchase a fraction of a packet, she needs to round up to the nearest whole number. Therefore, she needs to purchase 5 packets to have enough balloons for the party. Hence, the correct answer is C) 5.
Round to the nearest whole number: What is 17 out of 68 as a percent?
- A. 17%
- B. 25%
- C. 32%
- D. 68%
Correct Answer: B
Rationale: To convert a fraction to a percentage, divide the numerator (17) by the denominator (68) to get approximately 0.25. Then, multiply this decimal by 100 to get the percentage. 0.25 * 100 = 25%. Since we are asked to round to the nearest whole number percentage, the answer is 25%. Therefore, the correct choice is B, 25%.