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A new mother changes her baby's diaper 6 times a day, on average. How many diapers will the child use in a year?
- A. 2,190
- B. 2,200
- C. 2,500
- D. 1,800
Correct Answer: A
Rationale: To calculate the total number of diapers used in a year, you need to multiply the daily diaper changes (6 diapers) by the number of days in a year (365): 6 — 365 = 2,190. Therefore, the correct answer is 2,190 diapers.
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Subtract: 32.21 - 4.68 =
- A. 14.53
- B. 27.53
- C. 1.459
- D. 27.53
Correct Answer: D
Rationale: To subtract decimals, align the decimal points and subtract each place value. Starting from the right, 1 - 8 requires borrowing from the tens place, resulting in 11 - 8 = 3. Then, 2 - 6 requires borrowing from the tens place again, resulting in 12 - 6 = 6. The result is 27.53. Therefore, the correct answer is 27.53 (Option D). Remember to be careful with decimal alignment and borrowing when subtracting decimals.
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%.
45:x=35:105. Find the value of X. (Enter the whole number only.)
- A. 100
- B. 135
- C. 75
- D. 175
Correct Answer: B
Rationale: To find the value of x in the proportion 45:x=35:105, we can cross multiply to solve for x.
45 * 105 = 35 * x
x = (45 * 105) / 35
x = 135
Therefore, the correct answer is B: 135.
Explanation: The correct answer is found by cross multiplying in a proportion. Choice A (100) is incorrect as it doesn't satisfy the proportion. Choice C (75) and Choice D (175) are also incorrect as they do not align with the calculated value of x (135) from the given proportion.
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.
An artist sells paintings at $5.50 each. She has 7 stands in town and pays $35 per stand. What was her profit if she sold an average of 11 paintings per stand?
- A. $245
- B. $178.50
- C. $175
- D. $423.50
Correct Answer: B
Rationale: To calculate the profit per stand, we first find the total revenue per stand by multiplying the number of paintings sold (11) by the price per painting ($5.50), which equals $60.50. Then, we subtract the stand cost ($35) from the total revenue to find the profit per stand: $60.50 - $35 = $25.50. Since the artist has 7 stands, the total profit is $25.50 * 7 = $178.50. Therefore, the correct answer is $178.50. The profit per stand is determined by subtracting the stand cost from the total revenue generated from selling paintings. Multiplying this profit per stand by the number of stands gives the total profit. In this scenario, the artist's profit from selling an average of 11 paintings per stand would amount to $178.50.