Solve the problem.Bruce is a retired carpenter who builds patio chairs and dog houses which he sells at his local flea market. It takes him 4 hours to build a dog house and 5 hours to build a patio chair. Bruce can work no more than 40 hours per week and he must produce more dog houses than chairs. Use a system of inequalities to describe this situation and solve the system by graphing. Use D for the number of dog houses and P for the number of patio chairs produced in a week. 

A.

B.

C.

D.


Answer: B

Mathematics

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Suppose that y is inversely proportional to x. Use the given information to find the constant of proportionality k. Then use y =  to find y for the given value of x.y = 2.5 when x = 5;Find y given x = 16.

A. k = 5; y = 
B. k = 0.5; y = 8
C. k = 12.5; y = 
D. k = 2.5; y = 

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Solve the problem.The 412th term in the arithmetic sequence -4, 1, 6, 11, . . . is

A. 2060. B. 2056. C. 408. D. 2051. E. none of these

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Multiply the pair of monomials. 

A. w3
B. w2
C. w2
D. w3

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Determine the number that can be used in place of the question mark to make the equation true.2? = 4

A. 1
B. -2
C.
D. 2

Mathematics