Solve the problem.The manager of a candy shop sells chocolate covered peanuts for $7 per pound and chocolate covered cashews for $13 per pound. The manager wishes to mix 100 pounds of the cashews to get a  mixture that will sell for $9 per pound. How many pounds of peanuts should be used?

A. 150 pounds
B. 300 pounds
C. 200 pounds
D. 100 pounds


Answer: C

Mathematics

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Name the corresponding parts of the congruent triangles.

A. Angles: ?D and ?P; ?E and ?M; ?F and ?N
Sides:  and  and  and 
B. Angles: ?D and ?N; ?E and ?M; ?F and ?P
Sides:  and  and  and 
C. Angles: ?D and ?N; ?E and ?P; ?F and ?M
Sides:  and  and  and 
D. Angles: ?D and ?M; ?E and ?N; ?F and ?P
Sides:  and  and  and 

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Provide an appropriate response.Simple interest is often used when a loan is repaid in a lump sum.

A. True B. False

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Provide an appropriate response.When is the square of the sum the sum of a square; i.e., when is (A + B)2 = A2 + B2 ?

What will be an ideal response?

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Use Bayes' rule to find the indicated probability.Two shipments of components were received by a factory and stored in two separate bins. Shipment I has 2% of its contents defective, while shipment II has 5% of its contents defective. If it is equally likely an employee will go to either bin and select a component randomly, what is the probability that a defective component came from shipment II?

A. 0.714 B. 0.222 C. 0.5 D. 0.2

Mathematics