Nokea
Which of the following values is the greatest?
- A. 4.25
- B. 2/9
- C. 3/10
- D. 4.4
Correct Answer: C
Rationale: By comparing these values, it is clear that 4.4 is greater than both 4.25 and the fractions 2/9 and 3/10 Therefore, Option D (4.4) is the greatest value among the options provided.
You may also like to solve these questions
Television screen sizes are measured by the diagonal length of the rectangular screen. Assuming proportionality, if a vehicle on a 32-inch screen appears 9 inches long, how long will it appear on a 50-inch screen? (Round to the nearest inch.)
- A. 27 in
- B. 18 in
- C. 15 in
- D. 11 in
Correct Answer: C
Rationale: Using the proportion: 9 in / 32 in = x in / 50 in. Cross multiplying gives 32*x = 9*50. Solving for x gives x = 14.06 in, rounding to 14 in. Therefore, the vehicle will appear approximately 15 inches long on a 50-inch screen.
A circle has an area of 49Ï€ square inches. What is the circumference of the circle in terms of pi?
- A. 7Ï€ inches
- B. 28Ï€ inches
- C. 14Ï€ inches
- D. 3.5Ï€ inches
Correct Answer: C
Rationale: To find the circumference of a circle with an area of 49π square inches, you first need to find the radius using the area formula A = πr^2. Given the area is 49π, then 49π = πr^2, which simplifies to r^2 = 49, resulting in r = 7. The circumference formula is C = 2πr. Substituting r = 7 gives C = 2π(7) = 14π. Therefore, the correct circumference of the circle in terms of pi is 14π inches.
A recipe calls for 2.5 teaspoons, which equals approximately 4.93 ml. What is the correct amount of vanilla in ml?
- A. 7.43 ml
- B. 0.507 ml
- C. 5.33 ml
- D. 12.325 ml
Correct Answer: D
Rationale: To find the correct amount of vanilla in ml, you need to multiply the required teaspoons by the conversion factor. 2.5 teaspoons * 4.93 ml = 12.325 ml. Therefore, the correct amount of vanilla required is 12.325 ml.
Elevation above sea level and temperature are negatively correlated variables. Which of the following statements describes the relationship between the variables?
- A. As elevation decreases, temperature decreases
- B. As elevation decreases, temperature remains the same
- C. As elevation increases, temperature increases
- D. As elevation increases, temperature decreases
Correct Answer: D
Rationale: When two variables are negatively correlated, as one variable increases, the other decreases. In this case, as elevation above sea level increases, the temperature decreases. This relationship is often observed due to changes in atmospheric pressure and temperature with altitude. As altitude rises, the air becomes less dense, leading to lower temperatures. Therefore, the correct statement is 'As elevation increases, temperature decreases.' This relationship is crucial in understanding climate patterns, especially in mountainous regions where temperature changes significantly with elevation.
Simplify the expression: [2(3 + 5 - 3)] / (12 + 2). What is the result of this expression?
- A. 12
- B. 1
- C. 8
- D. 2.57
Correct Answer: D
Rationale: To simplify the given expression [2(3 + 5 - 3)] / (12 + 2), follow the order of operations (PEMDAS/BODMAS). First, calculate the operations within the parentheses: 3 + 5 - 3 = 5. Substitute the result back into the expression to get [2(5)] / (12 + 2). Next, calculate within the brackets: 2(5) = 10. Now, the expression becomes 10 / 14. Simplifying further, 10 / 14 = 5 / 7 = 0.7142 (rounded to two decimal places). Therefore, the result of the expression is approximately 0.71, which corresponds to choice D.