Nokea
Solve for x when x=11. x + 44 / 2x =
- A. 33
- B. 2.5
- C. 13
- D. 55/22
Correct Answer: C
Rationale: To solve the equation, substitute x=11 into the expression: 11 + 44 / (2*11). First, perform the operation inside the parentheses: 2*11 = 22. Then, divide 44 by 22 to get 2. Finally, add 11 and 2 to get the result of 13. Therefore, when x=11, x + 44 / 2x equals 13, making choice C the correct answer.
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What is the result of subtracting 2 5/8 from 7/8, reduced to lowest terms?
- A. 1 3/4
- B. 1 6/8
- C. 1 1/4
- D. 1 5/8
Correct Answer: A
Rationale: To subtract mixed numbers, convert them to improper fractions. 2 5/8 as an improper fraction is 21/8. Subtracting 7/8 from 21/8 results in 14/8. Simplifying 14/8 to lowest terms gives 1 3/4, which is the final answer.
What temperature in Celsius is 98.6 degrees Fahrenheit?
- 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: C = (F - 32) x 5/9. Substituting 98.6 for F: (98.6 - 32) x 5/9 = 37°C. Therefore, 98.6 degrees Fahrenheit is equivalent to 37 degrees Celsius.
A shopper bought the following items: Shirt $14.95, Pants $22.87, Tie $33.35. How much tax will they have to pay if the tax rate is 7.25%?
- A. $5.16
- B. $7.18
- C. $3.55
- D. $51.59
Correct Answer: A
Rationale: To find the total cost of the items, add the prices: $14.95 + $22.87 + $33.35 = $71.17. Next, calculate the tax amount by multiplying the total cost by the tax rate: $71.17 — 0.0725 = $5.16. Therefore, the shopper will have to pay $5.16 in tax. The correct answer is A) $5.16.
Divide: 18 ÷ 0.12 =
- A. 150
- B. 180
- C. 15
- D. 16
Correct Answer: A
Rationale: To divide 18 by 0.12, we can convert the divisor to a whole number by moving the decimal point two places to the right, making it 12. Now, we perform the division 18 ÷ 12 = 1.5. However, since we initially moved the decimal point in the divisor, we must move it back in the quotient to get the final answer of 150.
Choice A is correct (150) because it correctly follows the steps of dividing 18 by 0.12 and adjusting for the decimal point.
Choices B, C, and D are incorrect because they do not accurately represent the result of dividing 18 by 0.12 using the correct decimal manipulation. Choice B (180) is the result of a simple division of 18 by 0.12 without considering the decimal point adjustment. Choice C (15) and Choice D (16) are incorrect results obtained without the proper conversion of the decimal divisor.
If a die is rolled, what is the probability of getting an odd number?
- A. 50%
- B. 75%
- C. 16.70%
- D. 33%
Correct Answer: A
Rationale: When a fair six-sided die is rolled, there are 3 odd numbers (1, 3, 5) out of a total of 6 possible outcomes (1, 2, 3, 4, 5, 6). The probability of rolling an odd number is calculated by taking the number of favorable outcomes (3) divided by the total number of outcomes (6), which simplifies to 3/6 or 1/2, equivalent to 50%. Therefore, the correct answer is 50%. This means that when rolling a fair six-sided die, there is a 50% chance of getting an odd number.