Use the commutative and/or associative laws to write a series of steps verifying the given statement.(x + 4) + y is equivalent to 4 + (x + y).

What will be an ideal response?


(x + 4) + y = (4 + x) + y Using the commutative law
 = 4 + (x + y) Using the associative law

Mathematics

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Solve the problem.You are considering buying 15 silver coins that look alike, but you have been told that one of the coins is a lightweight counterfeit. How can you determine the lightweight coin in a maximum of three weighings on a balance scale?

What will be an ideal response?

Mathematics

Perform the indicated operation. - 

A.
B.
C. - 
D.

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Solve the problem.Dwayne Johnson is on his way to an autograph signing. His limousine drove 24 miles east and then drove 50 miles south. How far is the limo from where it started? Round to the nearest tenth.

Fill in the blank(s) with the appropriate word(s).

Mathematics

Simplify the exponential expression. Write any negative exponents as positive exponents. Assume all variables represent positive real numbers.(27x6y6)1/3

A. x2y2 B. 3x2y C. 3x6y2 D. 3x2y2

Mathematics