Solve the problem involving consecutive integers.In a recent International Gymnastics competition, the U.S., China, and Romania were the big winners. If the total number of medals won by each team are three consecutive integers whose sum is 81 and the U.S. won more than China who won more than Romania, how many medals did each team win?
A. U.S.: 83 medals; China: 82 medals; Romania: 81 medals
B. U.S.: 28 medals; China: 27 medals; Romania: 26 medals
C. U.S.: 29 medals; China: 28 medals; Romania: 27 medals
D. U.S.: 26 medals; China: 25 medals; Romania: 24 medals
Answer: B
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Solve the problem. Round your answer, if appropriate.As the zoom lens in a camera moves in and out, the size of the rectangular image changes. Assume that the current image is 6 cm × 5 cm. Find the rate at which the area of the image is changing (dA/df) if the length of the image is changing at 0.8 cm/s and the width of the image is changing at 0.1 cm/s.
A. 10.6 cm2/sec B. 9.2 cm2/sec C. 5.3 cm2/sec D. 4.6 cm2/sec
Solve. Remember to insert units when writing your answer.A supermarket sells soup in 1-qt-1-pt containers. How much soup is contained in two such containers?
A. 1 gal 2 qt B. 3 qt C. 2 gal 1 pt D. 2 gal 2 pt
Evaluate the polynomial.-3x5 - 3x4 + 3x3 - x2for x = -2
A. 15 B. 20 C. 16 D. 49
Use the linear approximation (1 + x)k ? 1 + kx, as specified.Find an approximation for the function f(x) = (1 - x)6 for values of x near zero.
A. f(x) ? 6 + 6x B. f(x) ? 1 - 6x C. f(x) ? 1 + 7x D. f(x) ? 1 + 6x