Find x. 120:x::40:0.5 =
- A. 16
- B. 0.167
- C. 60
- D. 1.5
Correct Answer: D
Rationale: To solve this proportion, set up the equation: 120/x = 40/0.5. Cross multiply to get 120 * 0.5 = 40 * x. Simplify to 60 = 40x. Divide by 40 to solve for x, which gives x = 1.5. Therefore, the correct answer is 1.5. In this proportion, the first ratio represents 120:x, and the second ratio represents 40:0.5. By solving for x, we find that x is equal to 1.5, making choice D the correct answer.
You may also like to solve these questions
Change the decimal to a percent: 0.000026 =
- A. 0.00%
- B. 0.03%
- C. 2.60%
- D. 26%
Correct Answer: A
Rationale: To convert a decimal to a percentage, you multiply by 100. In this case, 0.000026 * 100 = 0.0026%. When rounded to the nearest hundredth, it becomes 0.00%. Therefore, the correct answer is A, 0.00%.
How many ounces are in 8 1/4 pints?
- A. 132 oz
- B. 140 oz
- C. 148 oz
- D. 156 oz
Correct Answer: A
Rationale: To convert pints to ounces, we use the conversion factor that 1 pint equals 16 ounces. To find the number of ounces in 8 1/4 pints, we multiply 8.25 pints by 16 ounces/pint: 8.25 * 16 = 132 ounces. Therefore, there are 132 ounces in 8 1/4 pints.
Convert the military time 0056 to 12-hour time.
- A. 12:56 P.M.
- B. 12:56 A.M.
- C. 1:56 A.M.
- D. 1:56 P.M.
Correct Answer: B
Rationale: Military time 0056 represents 12:56 A.M. in the 12-hour clock format. When converting from military time to the 12-hour clock, you keep the hour as is if it's 1 to 12. In this case, 0056 corresponds to just after midnight, so it's 12:56 A.M. The 'A.M.' indicator signifies the time is in the morning.
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.
How many ounces are in 8 1/4 pints?
- A. 128 oz
- B. 2.25 oz
- C. 132 oz
- D. 136 oz
Correct Answer: C
Rationale: To convert pints to ounces, remember that 1 pint equals 16 fluid ounces. Therefore, 8 pints would be 8 x 16 = 128 ounces. Adding 1/4 pint (4 ounces) to 128 gives a total of 132 ounces in 8 1/4 pints. To calculate the total ounces, you add the ounces equivalent of the whole number of pints (8 pints = 8 x 16 = 128 ounces) to the ounces of the additional 1/4 pint, which is 4 ounces. Thus, 128 + 4 = 132 ounces in total for 8 1/4 pints.
Nokea