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20:5 = 30:x. Find the value of x. (Enter the numerical value only. Round to the nearest tenth.)
- A. 5
- B. 6
- C. 7.5
- D. 8
Correct Answer: C
Rationale: To find the value of x, set up the proportion: 20/5 = 30/x. Cross-multiply to get 20x = 150. Dividing both sides by 20 gives x = 7.5. Therefore, the value of x is 7.5 when rounded to the nearest tenth.
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A production statistic shows that it takes 2 chickens to produce 6 eggs in 24 hours. How many chickens are needed to produce 24 eggs in 24 hours?
- A. 3 chickens
- B. 8 chickens
- C. 12 chickens
- D. 4 chickens
Correct Answer: B
Rationale: If 2 chickens produce 6 eggs in 24 hours, it means each chicken produces 3 eggs in 24 hours. To produce 24 eggs, you would need to calculate 24 eggs · 3 eggs per chicken = 8 chickens. Therefore, 8 chickens are needed to produce 24 eggs in 24 hours. This calculation is based on the proportionality of the number of chickens to the number of eggs produced, ensuring the correct quantity of chickens is determined for the desired egg output.
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.
Solve for y if y = 3: 4y + 21/y
- A. 7.7
- B. 23/3
- C. 19
- D. 11
Correct Answer: C
Rationale: To find the value of the expression when y = 3, substitute y = 3 into the expression: 4(3) + 21/3. This simplifies to 12 + 7 = 19. Therefore, the correct answer is C, which is 19.
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.
Convert to metric: 7 grams = x mg =
- A. 0.007 mg
- B. 7,000 mg
- C. 0.0007 mg
- D. 700 mg
Correct Answer: B
Rationale: To convert grams to milligrams, you need to multiply by 1,000 because there are 1,000 milligrams in a gram. Therefore, 7 grams = 7 * 1,000 = 7,000 milligrams. The correct answer is 7,000 mg. Remember, when converting between grams and milligrams, the conversion factor is 1 gram = 1,000 milligrams. In this case, 7 grams multiplied by 1,000 gives you the correct answer of 7,000 milligrams.