Nokea
Solve for the value of x if 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) = 11 + 44 / 22 = 11 + 2 = 13. Therefore, the correct answer is C, which is 13.
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Evaluate ab²-ac if a=c, b=-4, and c=-5
- A. 56
- B. -80
- C. -23
- D. -5
Correct Answer: B
Rationale: To evaluate ab²-ac, substitute a=c, b=-4, and c=-5 into the expression: (-4)(-5)² - (-4)(-5). This simplifies to (-4)(25) - (-4)(-5) = -100 + 20 = -80. Therefore, the correct answer is -80, which corresponds to choice B. It is crucial to substitute the values correctly and follow the correct order of operations to arrive at the accurate result.
What is 9.6 divided by 0.8?
- A. 11.2
- B. 12
- C. 10.4
- D. 9
Correct Answer: B
Rationale: To divide 9.6 by 0.8, you should perform the division operation: 9.6 · 0.8 = 12. Therefore, the correct answer is 12. When dividing decimals, remember to move the decimal point to the right in both numbers until the divisor is a whole number. In this case, by multiplying both numbers by 10, you get 96 · 8 = 12.
What is the result of adding 2/3 and 4/9?
- A. 1 (1/9)
- B. 1 (1/3)
- C. 2/9
- D. 10/9
Correct Answer: A
Rationale: To add 2/3 and 4/9, you need to find a common denominator. In this case, the common denominator is 9. Convert 2/3 to 6/9. Now, the addition becomes 6/9 + 4/9 = 10/9. Simplifying 10/9 gives you 1 (1/9). Therefore, the correct answer is 1 (1/9). When adding fractions, having a common denominator is essential for accurate calculation.
A woman ran a 24-mile course. She ran the first 6 miles in 1 hour, the second set of 6 miles in 1.2 hours, the third set of 6 miles in 1.5 hours, and the fourth set of 6 miles in 1.6 hours. How long did it take her to complete the course?
- A. 5.3 hours
- B. 5.4 hours
- C. 4 hours
- D. 5 hours
Correct Answer: A
Rationale: To find the total time taken to complete the 24-mile course, you add the time taken for each set of 6 miles: 1 hour + 1.2 hours + 1.5 hours + 1.6 hours = 5.3 hours. Therefore, it took her 5.3 hours to complete the course. Each set of 6 miles is a segment of the total 24-mile course. By adding the time taken for each segment, you can determine the total time taken to complete the entire course.
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.