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Vanessa C.
Tutor for three years
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Question:

(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

Vanessa C.
Answer:

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.

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Question:

Tom's ________________ tone endeared him to his silly friends, but annoyed his solemn mother. a. reserved b. jesting c. somber d. staid e. orthodox

Vanessa C.
Answer:

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.

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Question:

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?

Vanessa C.
Answer:

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.

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