(Being as he is a talented musician), Dylan Garner is an expert at charming audiences with his tunes. a. Being as he is a talented musician b. Although he is a talented musician c. A talented musician d. In being a talented musician e. Playing music talentedly
Choice C is the correct answer. A talented musician succinctly modifies the proper noun, Dylan Garner. Choice A is wordy. Choice B is illogical as Although suggests a contrast of ideas. Choice D contains the unidiomatic and unnecessary phrase, In being. Choice E can be more appropriately phrased as Talented at playing music.
Tom's ________________ tone endeared him to his silly friends, but annoyed his solemn mother. a. reserved b. jesting c. somber d. staid e. orthodox
Jesting is the correct answer. Notice the trigger word, but, in the sentence above. This signifies a contrast. The answer is something that contrasts with "solemn". In this case, jesting completes the sentence as it means joking or being playful.
If x is the arithmetic mean of q and 14, y is the arithmetic mean of q and 4, and z is the arithmetic mean of 4q and 24, what is the arithmetic mean of x, y, and z in terms of q?
The arithmetic mean of two numbers is the sum of the two numbers divided by two, thus x =(q+14)/2, y = (q+4)/2, and z = (4q+24)/2. The arithmetic mean of x, y, and z is calculated by (x+y+z)/3. Substituting the expressions for each variable in terms of q results in [((q+14)/2) + ((q+4)/2) + ((4q+24)/2)]/3. This can be simplified to [(6q+42)/2]/3 or (6q+42)/6. Factoring out six from the numerator gives [6(q+7)]/6 which can be further simplified to q+7.