Solve the problem.The speed of a stream is 5 mph. If a boat travels 66 miles downstream in the same time that it takes to travel 33 miles upstream, what is the speed of the boat in still water?

A. 18 mph
B. 15 mph
C. 17 mph
D. 10 mph


Answer: B

Mathematics

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What strategies would you not use to make the following game a fair game? To play: $4.00; Probability of Winning:  0.39; Winnings: $10.00. ?

A. ?Increase the probability of Winning (if possible) to 0.4. B. ?Increase the winning purse to $10.26 (number rounded to the nearest cent). C. ?Decrease the cost to play to $3.90. D. ?Decrease the probability to 0.29. E. ?Increase the winnings to $6, increase the probability of winning to .4, and increase the cost to play to $2.40.

Mathematics

The equation of an ellipse is given. Put the equation in standard form and sketch the ellipse.49x2 + 4y2 = 196

A.  +  = 1

B.  +  = 1

C.  +  = 1

D.  +  = 1

Mathematics

Multiply. Express your answer in standard form.(-6 - 6i)(1 - 4i)

A. -30 + 18i B. 30 + 18i C. 30 - 18i D. -30 + 30i

Mathematics

Provide an appropriate response.A store makes two different types of smoothies by blending different fruit juices. Each bottle of Orange Daze smoothie contains 10 fluid ounces of orange juice, 4 fluid ounces of pineapple juice, and 2 fluid ounces of blueberry juice. Each bottle of Pineapple Blue smoothie contains 5 fluid ounces of orange juice, 6 fluid ounces of pineapple juice, and 4 fluid ounces of blueberry juice. The store has 500 fluid ounces of orange juice, 360 fluid ounces of pineapple juice, and 250 fluid ounces of blueberry juice available to put into its smoothies. The store makes a profit of $1.50 on each bottle of Orange Daze and $1 on each bottle of Pineapple Blue. To determine the maximum profit, the simplex method can be used and the final tableau is:  x1  x2 

x3  x4  x5  M   Give an interpretation to the fact that the marginal value of blueberry juice is zero. Refer in your explanation to the value in the final tableau of the slack variable x5.

What will be an ideal response?

Mathematics