A taxicab fare costs x dollars for the first quarter of a mile and ¼x dollars for each quarter of a mile after that. How much will the total cost be for a 2½ mile ride?
Answer(s): B
2½ miles divided by 1/4 is ten quarter miles. Since the first quarter mile costs x amount, the other nine quarter miles cost 1/4 x, so 9 × 1/4x = 9/4 x.x + 9/4x = 4/4x + 9/4x = 13/4x.
Which of the following measures could form the sides of a triangle?I) 3, 3, 5II) 6, 6, 12III) 1, 2, 3
Answer(s): A
The sum of the measures of the two shorter sides of a triangle must be greater than the longest side. Since 3 + 3 > 5, statement I works. Since 6 + 6 = 12 and 1 + 2 = 3, they do not form the sides of the triangle. The answer is statement I only.
Scott’s average (arithmetic mean) golf score on his first four rounds was 78. What score does he need on his fifth round to drop his average score by 2 points?
If the average of four rounds is 78, then the total points scored is 78 × 4 = 312. If his score were to drop 2 points that means his new average would be 76. A 76 average for five rounds is a total of 380 points. The difference between these two point totals is 380 – 312 = 68. He needs a score of 68 on the fifth round.
Celeste worked for h hours each day for d consecutive days. If she earns $9.50 per hour, what is the total amount she earned?
Answer(s): E
Suppose Celeste worked for 8 hours each day for 5 consecutive days. Her total pay would be found by finding her total hours (8 × 5 = 40) and then multiplying 40 by her pay per hour ($9.50). Since you are only multiplying to solve the problem, the expression is 9.50 × d × h or 9.50dh.
A certain jacket was marked down 20% the first week and another 20% the next week. What percent of the regular price was the final cost of the jacket after the two markdowns?
To make this problem easier, assume the initial cost of the jacket was $100. The first markdown of 20% would save you $20, bringing the cost of the jacket to $80. For the second markdown, you should be finding 20% of$80, the new cost of the jacket. 20% of 80 = 0.20 × 80 = 16. If you save $16 the second time, the final cost of the jacket is 80 – 16 = $64. Since the initial cost was $100, $64 is 64% of this price.
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