Provide the proper response.To rationalize the denominator of an expression such as 
, we multiply both the numerator and the denominator by 
. By what number are we actually multiplying the given expression, and what property of real numbers justifies the fact that our result is equal to the given expression?
What will be an ideal response?
1; identity property for multiplication
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Solve the problem.Use the Huntington-Hill method to apportion nine seats among State X, State Y, and State Z. The populations of the states are state X, 4.0 million; State Y, 6.5 million; and State Z, 5.2 million. Begin by giving one representative to each state. List the order in which the representatives are apportioned.
A. Y, Z, X, Y, Z, X, Z, Y, X B. Y, Z, X, Y, Z, X, Y, Z, X C. Y, Z, X, Z, Y, X, Y, Z, Y D. Y, Z, X, Y, Z, X, Y, Z, Y
Use a truth table to determine whether the symbolic form of the argument is valid or invalid.~q ? ~p
? ~q
A. Valid B. Invalid
Use the frequency polygon to answer the following.The frequency polygon shows the salaries of employees of a small company.
The greatest number of employees are in which salary group?
A. $50,000-$60,000 B. $30,000-$35,000 C. $50,000-$55,000
Solve the problem.One maid can clean the house in 5 hours. Another maid can do the job in 3 hours. How long will it take them to do the job working together?
A. 
hr
B. 
hr
C. 
hr
D. 
hr