Rationalize the denominator.

A.
B.
C.
D.


Answer: C

Mathematics

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You will select a card, from a standard 52-card deck, replace it back into the deck, and select another card. What is the probability of selecting a 6 and a queen? ?

A.

?


B.

?


C.

?


D.

?


E.

?.0075 rounded to the nearest ten-thousandths


Mathematics

Solve the problem.A 100 gal tank is half full of distilled water. At time = 0, a solution containing 2 lb/gal of concentrate enters the tank at the rate of 4 gal/min, and the well-stirred mixture is withdrawn at the rate of   When the tank is full, how many pounds of concentrate will it contain?

A. 200 pounds B. 150 pounds C. 187.5 pounds D. 175 pounds

Mathematics

Solve the problem.Charlene baby-sits for $10 per hour. She also works as a tutor for $12 per hour. Because of school, her parents only allow her to work 13 hours per week. How many hours can Charlene tutor and baby-sit and still make at least $75 per week? (a) Write a system of inequalities for this situation.(b) Graph the solution set. 

What will be an ideal response?

Mathematics

Determine if the argument is valid or invalid. Give a reason to justify answer.If you wear a tie, then you look natty.You do not look natty.  ? You are not wearing a tie.

A. Invalid by fallacy of the converse B. Valid by the law of contraposition C. Valid by disjunctive syllogism D. Invalid by fallacy of the inverse

Mathematics