Solve the problem.Chuck and Dana agree to meet in Chicago for the weekend. Chuck travels 144 miles in the same time that Dana travels 132 miles. If Chuck's rate of travel is 3 mph more than Dana's, and they travel the same length of time, at what speed does Chuck travel?
A. 33 mph
B. 30 mph
C. 36 mph
D. 42 mph
Answer: C
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Provide an appropriate response.Solve the system of equations using the substitution method:x - 4y = 3-2x + 8y = -6
A. x = 0, y = - 
B.
dependent; many solutions
C.
inconsistent; no solution
D.
x = 3, y = 0
Expand the expression using the Binomial Theorem.(x3 + 2y2)4
A. x6 + 8x5y2 + 24x6y4 + 32x3y5 + 16y6 B. x12 + 8x9y6 + 24x6y4 + 32x3y2 + 16y8 C. x12 + 6x9y2 + 24x6y4 + 24x3y6 + 16y8 D. x12 + 8x9y2 + 24x6y4 + 32x3y6 + 16y8
Provide an appropriate response.A company must fill an order for 200 units of its product. It wishes to distribute the production between its two plants, plant A and plant B. The total cost function isc = 300qA + 200qB + 
+ 8000, where qA and qB are the number of units produced at plant A and plant B, respectively. To minimize costs, plant A and plant B should produce
A. 50 units and 150 units, respectively. B. 100 units and 100 units, respectively. C. 175 units and 25 units, respectively. D. 150 units and 50 units, respectively. E. 25 units and 175 units, respectively.
Solve the problem.If two sound sources at the same volume are equidistant from a microphone, the pressure on the microphone is given by p = a cos ?1t + a cos ?2twhere a, ?1, ?2 are constants and t is time. Write p as a product of cosine functions.
What will be an ideal response?