Solve the problem.A ceramics workshop makes serving bowls, platters, and bread baskets to sell at its Winter Festival. A serving bowl takes 3 hours to prepare, 2 hours to paint, and 8 hours to fire. A platter takes 17 hours to prepare, 3 hours to paint, and 4 hours to fire. A bread basket takes 4 hours to prepare, 14 hours to paint, and 7 hours to fire. If the workshop has 142 hours for prep time, 90 hours for painting, and 116 hours for firing, how many of each can be made?
A. 6 serving bowls, 4 platters, 8 bread baskets
B. 9 serving bowls, 7 platters, 5 bread baskets
C. 4 serving bowls, 8 platters, 6 bread baskets
D. 8 serving bowls, 6 platters, 4 bread baskets
Answer: D
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Determine whether the statement is true or false.If a triangle is a parallelogram, then all rectangles are squares.
A. True B. False
Find n for the given value of an in the arithmetic sequence.an = 930; 1, 2, 3, . . .
A. n = 1860 B. n = 465 C. n = 29 D. n = 30
Combine like terms whenever possible.6ab + 4b4 + 4ab - 2b4
A. 10ab + 2b4 B. 10ab + 6b4 C. 2ab + 2b4 D. 20ab + 4b4
Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.31x2 + 10
xy + 21y2 -144 = 0
A. ? = 45°
y'2 = -4
x'
parabola
vertex at (0, 0)
focus at (-
, 0)
B. ? = 45°
x'2 = -4
y'
parabola
vertex at (0, 0)
focus at (0, -
)
C. ? = 30°
+ 
= 1
ellipse
center at (0, 0)
major axis is y'-axis
vertices at (0, ±3)
D. ? = 36.9°
+ 
= 1
ellipse
center at (0, 0)
major axis is x'-axis
vertices at (±3, 0)