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Convert 5 3/4 to a decimal. Round to the nearest tenth.
- A. 5.75
- B. 5.7
- C. 6
- D. 5.8
Correct Answer: A
Rationale: To convert the mixed number 5 3/4 to a decimal, divide the numerator by the denominator. In this case, 3 divided by 4 equals 0.75. Therefore, 5 3/4 can be written as 5.75 in decimal form. Rounding 5.75 to the nearest tenth yields 5.8, not 5.7 or 6. Hence, the correct answer is 5.75 since it represents 5 3/4 as a decimal rounded to the nearest tenth.
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Sally eats 3/5 of her lunch. John eats 75%. Who ate more?
- A. John
- B. Sally
- C. both
- D. equal
Correct Answer: A
Rationale: To compare the amount each person ate, we need to convert the fractions to percentages. Sally ate 3/5, which is equivalent to 60%. John ate 75%. By comparing 60% to 75%, we find that John ate more. Therefore, the correct answer is John, as he consumed a higher percentage of his lunch than Sally did.
A newborn weighs 8 pounds 5 ounces. There are 453.59 grams per pound. What is the infant's weight in grams?
- A. 2268 grams
- B. 3629 grams
- C. 3770 grams
- D. 3856 grams
Correct Answer: C
Rationale: To find the infant's weight in grams, first convert 8 pounds to grams by multiplying 8 pounds by 453.59 grams per pound, which equals 3628.72 grams. Then, convert 5 ounces to grams by multiplying 5 ounces by 28.35 grams per ounce, which equals 141.75 grams. Finally, add these two results together: 3628.72 grams + 141.75 grams = 3770 grams. Therefore, the infant's weight is 3770 grams, making choice C the correct answer.
Express 0.608 as a percent.
- A. 6.08%
- B. 0.61%
- C. 608%
- D. 60.80%
Correct Answer: D
Rationale: To convert a decimal to a percent, multiply by 100. Therefore, 0.608 — 100 = 60.8%. Thus, the correct answer is D) 60.80%.
How many kilograms are in 2000 grams?
- A. 20 kilograms
- B. 2 kilograms
- C. 0.002 kilograms
- D. 0.2 kilograms
Correct Answer: B
Rationale: To convert grams to kilograms, you need to divide by 1000 since there are 1000 grams in a kilogram. Therefore, 2000 grams divided by 1000 equals 2 kilograms. The correct answer is 2 kilograms. Remember, when converting units, it is important to keep track of the conversion factor to ensure the correct transformation of measurements. In this case, multiplying or dividing by 1000 is a common conversion for grams to kilograms, moving the decimal point three places to the left or right.
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.