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Ratio and Proportion: 0.3:2 = 15:X (Enter numeric value only.)
- A. 50
- B. 75
- C. 100
- D. 125
Correct Answer: C
Rationale: To find the value of X, first, we need to set up a proportion using the given equation: 0.3/2 = 15/X. Cross multiply to solve for X: 0.3X = 2 * 15. Simplify to get 0.3X = 30. Divide by 0.3 to solve for X: X = 30 / 0.3 = 100. Therefore, the correct answer is C. Choice A (50), B (75), and D (125) are incorrect as they do not satisfy the proportion equation given. A summary of the incorrect choices: A is too low, B is also too low, and D is too high compared to the correct answer of 100.
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Calculate the product: (7.2)(0.34) =
- A. 14.12
- B. 0.234
- C. 7.64
- D. 2.448
Correct Answer: D
Rationale: When multiplying decimals, treat the numbers as whole numbers and then position the decimal point in the product so that it has the same total number of decimal places as the numbers being multiplied. In this case, multiplying 7.2 by 0.34 results in 2.448.
Convert 11:32 A.M. to Military time. (Enter the numerical value only.)
- A. 1132
- B. 1232
- C. 1032
- D. 1112
Correct Answer: A
Rationale: To convert 11:32 A.M. to Military time, A.M. hours from 1:00 to 11:59 are represented with a leading zero if required. In the 24-hour clock system, 11:32 A.M. is correctly converted to 1132. The correct answer is option A, as it represents 11:32 A.M. in the correct 24-hour time format. Remember that in military time, the hours are always represented with two digits, so a leading zero is added if the hour is a single digit to maintain consistency.
After spending $75.64 at one store and $22.43 at the next store, how much money does the shopper have left if they started with $100.00?
- A. $1.93
- B. $5.00
- C. $0.72
- D. $20.13
Correct Answer: A
Rationale: To find out how much money the shopper has left, you need to add the total spent at both stores: $75.64 + $22.43 = $98.07. Next, subtract this total from the initial amount of $100.00: $100.00 - $98.07 = $1.93. Therefore, the shopper has $1.93 remaining after shopping at both stores. This calculation accurately determines the correct amount of money left after the purchases, making choice A the right 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 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.