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Sebastian bought a meal at a restaurant and left a 15% tip. With the tip, he paid exactly $35.19. How much did the meal cost without the tip?

(A) $28.98

(B) $29.91

(C) $30.15

(D) $30.60

(E) $30.85

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

Which of the following is equal to (n– 3)2if n= 11?

(A) (n+ 6)(n– 6)(B) (n+ 5)(n– 7)(C) (n+ 4)(n– 8)(D) (n+ 3)(n– 9)(E) (n+ 2)(n– 10)

Correct Answer: B

In the circle below, radius image has a length of 10 meters, and central angle ∠AOB measures 30°. What is the area, in square meters, of shaded sector AOB? image

(A)image (B) image (C) image (D) image (E) image

Correct Answer: E

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