Solve the problem.A ceramics workshop makes wreaths, trees, and sleighs for sale at Christmas. A wreath takes 3 hours to prepare, 2 hours to paint, and 8 hours to fire. A tree takes 15 hours to prepare, 3 hours to paint, and 4 hours to fire. A sleigh takes 4 hours to prepare, 14 hours to paint, and 7 hours to fire. If the workshop has 109 hours for preparation time, 83 hours for painting, and 96 hours for firing, how many of each can be made?
A. 7 wreaths, 6 trees, 5 sleighs
B. 4 wreaths, 6 trees, 5 sleighs
C. 6 wreaths, 5 trees, 4 sleighs
D. 5 wreaths, 4 trees, 6 sleighs
Answer: C
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Identify the numerator and the denominator of the fraction.
A. numerator: ; denominator: 3a
B. numerator: 2ya; denominator: 3
C. numerator: 2y; denominator: 3a
D. numerator: 3a; denominator 2y
Divide and, if possible, simplify. Assume all variables represent positive real numbers.
A. 2mn
B.
C. 4
D. 2
Subtract using columns.Subtract (12b2 + 8b - 10) from (2b2 - b + 5).
A. 10b2 + 7b - 5 B. -10b2 - 9b + 15 C. 10b2 + 9b - 15 D. -10b2 - 7b - 5
Find the general solution of the differential equation, or the particular solution if an initial condition is given. y' + 2y = 21
A. y = + Ce2x
B. y = + e2x + Ce-2x
C. y = + Ce-2x
D. y = 21 + Ce2x