What does (4x − y) + (−10 + y) equal if x = 3 and y = 4?
Answer(s): D
Plugging in x and y, you get (4(3) − 4) + (−10 + 4), which is 8 + (−6), or 8 − 6 = 2.
A pasta salad was chilled in the refrigerator at 35°F overnight for 9 hours. The temperature of the pasta dish dropped from 86°F to 38°F.What was the average rate of cooling per hour?
Answer(s): B
The average rate of cooling is:(86º − 38º) / 9 hrs; (48º)/9 = 5.33ºF per hour.
Loral received all her grades for the semester (in parentheses) along with the weight for each grade, shown below.Weight 45% = 3 tests (80%, 75%, 92%) 25% = final (88%) 15% = paper (91%) 15% = 2 oral quizzes each worth 25 points (22, 19) What is her final grade?
Answer(s): A
Calculate the weighted average of the 3 tests:(80 + 75 + 92) / 3 = 82.3;Calculate the average of the 2 oral quizzes:(22/25) ×100 = 88 and (19/25) × 100 = 76, so (88 + 76) / 2 = 82.Multiply each grade by their weight, and then add them all up to determine the final grade: (82 × 0.45) + (88 × 0.25) + (91 × 0.15) + (82 × 0.15) = 85.
The following items were purchased at the grocery store.What was the average price paid for the items?
Answer(s): C
Calculate the average price:((3.5 × 2) + (0.3 × 5) + (1.25 × 3) + (0.45 × 6)) / (2 + 5 + 3 + 6) = 0.93.
What does 68% equal?
68% = 68/100.To express as a fraction, move the decimal two places to the left, 0.68.
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