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What is 5 & 3/4 divided by 1/2 when reduced?
- A. 5 & 1/2
- B. 2 & 3/8
- C. 11 & 1/2
- D. 18
Correct Answer: C
Rationale: To divide a mixed number by a fraction, first convert the mixed number to an improper fraction. 5 & 3/4 as an improper fraction is 23/4. Next, invert the divisor to find its reciprocal, making it 2/1. Now, multiply the dividend by the reciprocal: (23/4) · (2/1) = (23/4) * (1/2) = 23/8 = 2 & 7/8. This result as a mixed number is 11 & 1/2, which is the correct answer. Therefore, the correct answer is 11 & 1/2.
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Convert 0.07 to a ratio.
- A. 7:10
- B. 7:10,000
- C. 7:1,000
- D. 0.361111
Correct Answer: D
Rationale: To convert 0.07 to a ratio, we first need to express it as a fraction. 0.07 as a fraction is 7/100. To convert this to a ratio, we need to express it in the form of a ratio of two integers. Therefore, 7/100 can be simplified to 7:100. Hence, the correct answer is D: 7:100.
Explanation:
A) 7:10 - Incorrect. This ratio is not equivalent to 0.07.
B) 7:10,000 - Incorrect. This ratio is not equivalent to 0.07.
C) 7:1,000 - Incorrect. This ratio is not equivalent to 0.07.
Summary: The correct ratio for 0.07 is 7:100, which represents the equivalent proportion of the decimal value. Other choices are incorrect as they do not accurately represent the given decimal value.
A newborn's birth weight is recorded as 6,067 grams, and there are 453.59 grams in a pound. What is this infant's weight in pounds and ounces?
- A. 6 pounds, 13 ounces
- B. 13 pounds, 6 ounces
- C. 10 pounds, 13 ounces
- D. 6 pounds, 6 ounces
Correct Answer: B
Rationale: To convert 6,067 grams to pounds, divide by 453.59, giving 13.36 pounds. To find ounces, subtract the whole pounds (13) and multiply the decimal portion (0.36) by 16 (ounces in a pound), resulting in 5.76 ounces. Therefore, the infant's weight is 13 pounds and 5.76 ounces, which rounds to 13 pounds, 6 ounces (option B). Option A is incorrect as it doesn't account for the decimal portion of the pound. Option C is incorrect as it overestimates the weight. Option D is incorrect as it underestimates the weight by not considering the decimal portion.
What is the temperature in Fahrenheit when converted from 50°C? (Enter a numeric value only. If rounding is necessary, round to the nearest whole number.)
- A. 150°F
- B. 122°F
- C. 120°F
- D. 145°F
Correct Answer: B
Rationale: To convert Celsius to Fahrenheit, you can use the formula: F = (C — 9/5) + 32. Plugging in 50°C gives us (50 — 9/5) + 32 = 122°F. Therefore, the correct answer is 122°F. When converting temperatures between Celsius and Fahrenheit, it's important to remember the formula and apply it correctly. In this case, by substituting 50°C into the formula, it results in 122°F when rounded to the nearest whole number.
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.
Ratio and Proportion: 0.6:X = 0.3:2 (Enter numeric value only.)
- A. 2
- B. 4
- C. 3
- D. 5
Correct Answer: B
Rationale: To find the value of X, we set up a proportion: 0.6/X = 0.3/2. Cross multiply to get 0.6*2 = 0.3*X. Simplify to get 1.2 = 0.3*X. Divide both sides by 0.3 to solve for X, which gives X = 4. Choice B (4) is correct. Choices A, C, and D are incorrect as they do not match the calculated value of X when solving the proportion equation.