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1.2:x::14:42 =
- A. 0.6
- B. 3.6
- C. 1.2
- D. 2.4
Correct Answer: B
Rationale: To solve this proportion, we use the property that the product of the means is equal to the product of the extremes. In this case, we have 1.2 * 42 = 14 * x. Simplifying, we get 50.4 = 14x. To find the value of x, we divide both sides by 14, giving x = 50.4 / 14 = 3.6. Therefore, the correct answer is 3.6, which corresponds to option B. This means that the relationship between 1.2 and x is the same as the relationship between 14 and 42, following a proportional logic where the ratios are equivalent.
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What is the temperature in Celsius when 98.6 degrees Fahrenheit is converted?
- A. 30 Celsius
- B. 37 Celsius
- C. 47 Celsius
- D. 21 Celsius
Correct Answer: B
Rationale: To convert Fahrenheit to Celsius, you can use the formula: Celsius = (Fahrenheit - 32) x 5/9. Substituting 98.6 for Fahrenheit gives us: Celsius = (98.6 - 32) x 5/9 = 37 Celsius. Therefore, the correct answer is 37 Celsius. It is important to understand this conversion formula to accurately convert temperatures between the Fahrenheit and Celsius scales.
Express 0.26 as a fraction =
- A. 7/8
- B. 13/50
- C. 26/100
- D. 2 6/10
Correct Answer: B
Rationale: To convert a decimal to a fraction, the decimal number is written without the decimal point and over the appropriate place value. In this case, 0.26 can be written as 26/100. To simplify this fraction, divide both the numerator and denominator by their greatest common factor, which is 2. This simplifies to 13/50. Therefore, the correct answer is 13/50.
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.
One side of a 6-sided die is numbered 4, 9, 12, 16, 20, and 24. What is the probability of rolling an even number?
- A. 5/6
- B. 3/4
- C. 2/3
- D. 1/3
Correct Answer: A
Rationale: To find the probability of rolling an even number, we identify the even numbers on the die, which are 4, 12, 16, 20, and 24 (5 even numbers). Since there are 6 total outcomes on a 6-sided die, the probability of rolling an even number is the number of favorable outcomes (5) divided by the total number of outcomes (6), resulting in a probability of 5/6.
Add: 1/4 + 3/8 =
- A. 5/8
- B. 1/2
- C. 4/12
- D. 1/3
Correct Answer: A
Rationale: To add the fractions, first convert 1/4 to a common denominator with 3/8. The common denominator is 8: (1/4) = 2/8. Then, add: 2/8 + 3/8 = 5/8. Therefore, the correct answer is A) 5/8.