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Divide: 413 divided by 0.05 =
- A. 7,350
- B. 73.5
- C. 8,260
- D. 82.6
Correct Answer: C
Rationale: To divide 413 by 0.05, we can rewrite 0.05 as 5/100 to make the division easier. Then, divide 413 by 5 and multiply the result by 100.
413 ÷ 5 = 82.6
82.6 x 100 = 8,260
Therefore, the correct answer is C: 8,260.
Choice A is incorrect as it does not result from the correct division process. Choice B is incorrect because it does not account for multiplying by 100 after dividing by 5. Choice D is incorrect as it is the result of dividing by 0.1 instead of 0.05.
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Divide: 4 2/3 · 2 3/4 =
- A. 1 23/33
- B. 2 8/9
- C. 3 21/3
- D. 4 23/4
Correct Answer: A
Rationale: To divide mixed numbers, convert them to improper fractions. For 4 2/3, the improper fraction is 14/3, and for 2 3/4, it is 11/4. When dividing 14/3 by 11/4, you get 154/33, which simplifies to 4 22/33 or 1 22/33. Therefore, the correct answer is 1 23/33, which is represented in mixed number form as 1 23/33.
Subtract 2 5/8 - 7/8 and reduce
- A. 1 & 5/8
- B. 1 & 1/4
- C. 1 & 6/8
- D. 1 & 3/4
Correct Answer: D
Rationale: To subtract fractions, ensure the denominators are the same, then subtract the numerators. In this case, 2 5/8 - 7/8 = (2 - 1) 5/8 = 1 5/8. Since 5/8 cannot be further simplified, the answer is 1 & 5/8 in mixed number form. However, for the final answer in reduced form, 5/8 can be simplified to 4/8, which is equivalent to 1/2. Therefore, the correct reduced answer is 1 & 3/4, making choice D the correct answer.
A woman received a bottle of perfume as a present. The bottle contains 3/4 oz of perfume. How many milliliters is this?
- A. 20.0 ml
- B. 23.0 ml
- C. 22.5 ml
- D. 22.0 ml
Correct Answer: C
Rationale: To convert ounces to milliliters, we know that 1 fluid ounce (oz) is approximately equal to 29.5735 milliliters (ml). Therefore, 3/4 oz of perfume is equal to (3/4) x 29.5735 ml. Calculating this gives us approximately 22.18 ml, which can be rounded to 22.5 ml. Hence, the correct answer is 22.5 ml. This conversion is essential in various fields, especially in industries where precise measurements are required, such as pharmaceuticals, chemistry, and cooking.
A newborn weighs 3,459 grams. There are 453.59 grams per pound. What is the infant's weight in pounds and ounces?
- A. 7lbs 10oz.
- B. 10lbs 7oz.
- C. 13lbs 3oz.
- D. 3lbs 13oz.
Correct Answer: A
Rationale: To convert the baby's weight from grams to pounds and ounces, divide the weight in grams by the number of grams in a pound (453.59). 3,459 grams · 453.59 grams per pound = 7.62 pounds. Since there are 16 ounces in a pound, multiply the decimal part (0.62) by 16 to get the additional ounces. 0.62 x 16 = 9.92, which rounds up to 10 ounces. Therefore, the infant's weight is 7 pounds and 10 ounces (7lbs 10oz).
What temperature in Fahrenheit is 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, use the formula: F = (C x 9/5) + 32. Substituting 50 for C gives: F = (50 x 9/5) + 32 = 90 + 32 = 122°F. Therefore, 50°C is equal to 122°F. The correct answer is B.