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Lucy is studying her ant farm. She needs to approximate the number of ants in the population, and she realizes that the number of ants, N, is close to 50 more than double the volume of the ant farm, V. Which of the formulas below expresses that approximation?

(A) N ≈ V + 50

(B) N ≈ (V + 50)

(C) N ≈ 2V + 50

(D) N ≈ 2(V + 50)

(E) N ≈ V2 + 50

The Correct Answer
Explanation

The sum, S, of an arithmetic sequence with first term x1 is given by , where n is the number of terms in the sequence. The sum of 5 consecutive terms in a given arithmetic sequence is 145, and x5 is 48. What is the sixth term of this sequence?

(A)49 (B) 57.5 (C) 77 (D) 154.5 (E) 174

Correct Answer: B

If 3x + 2y = 5, what is the value of the expression 6x + 4y - 7?

(A)-2 (B) 3 (C) 8 (D) 10 (E) 19

Correct Answer: B

Lines p, q, r, and s are shown in the figure below and the set of all angles that are supplementary to x is {1,3,8,11}. Which of the following is the set of all lines that must be parallel?

(A){q,r} (B) {q,s} (C) {r,s} (D) {p,q} (E) {q,r,s}

Correct Answer: B

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