Rationale: To determine the greatest value, we need to compare the choices. Among the given options, '10-Mar' represents the highest value as it stands for the 10th of March. In comparison, '4.25' and '4.4' are numerical values, where '4.4' is greater than '4.25'. '09-Feb' represents the 9th of February, which is the smallest value among the options. Therefore, '10-Mar' is the greatest value in this context.
Question 2:
Translate the phrase 'Five less than twice the number' into a mathematical expression.
A: 5x-2
B: 2x-5
C: 2-5x
D: 5-2x
Correct Answer: B
Rationale: The phrase 'Five less than twice the number' means 2 times a number minus 5. In mathematical terms, this translates to 2x-5. Therefore, choice B is the correct expression that represents 'Five less than twice the number.'
Question 3:
A couple dining at a restaurant receives a bill for $38.40. They wish to leave a 15% gratuity. Which of the following is the estimated gratuity?
A: $6.00
B: $5.00
C: $4.00
D: $7.00
Correct Answer: A
Rationale: To calculate the 15% gratuity on a $38.40 bill, you multiply the bill amount by 0.15 (15%). $38.40 x 0.15 = $5.76. Rounding up, the estimated gratuity would be $6.00, which is closest to the correct answer A.
Question 4:
Lana has $60. She spends 80% of the money. She then invests the remaining amount and earns a profit of 80%. How much does she have now?
A: $21.60
B: $9.60
C: $86.40
D: $60.00
Correct Answer: A
Rationale: If Lana spends 80% of $60, she spends $48. She is left with $12. When she invests this remaining amount, and earns an 80% profit on $12, it amounts to $21.60 ($12 + 80% of $12). Therefore, Lana now has $21.60.
Question 5:
Which of the following percentages is equivalent to the fraction 5/8?
A: 160%
B: 65.25%
C: 62.50%
D: 1.60%
Correct Answer: C
Rationale: To convert a fraction to a percentage, you divide the numerator by the denominator, then multiply by 100. In this case, 5/8 = 0.625 * 100 = 62.50%. Therefore, choice C, 62.50%, is the correct percentage equivalent to the fraction 5/8.
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