Question

19. Becca's birthday is June 10th. Her friend's birthday is November 10th. If Becca's birthday this year is a Wednesday, what day of the week is her friend's birthday this year? (A) Wednesday (B) Friday (C) Saturday (D)Monday (E) Other

A circle has an area of 25m. The radius of the circle is increased by 3. What is the increase in the area of the circle? (A) 24π (B) 64π (C) 39π (D) 36π (E) Other

In a modified ladder toss game, all scores are worth either 4 points or 9 points. Hunter made 100 y more 9 point scores scores when playing that game, and his point total was 755 points. How many than 4 point scores did Hunter made? ) (A) 42 (B)44 (C)41 (D) 43 (E) Other​

Answer 1

Becca's birthday is June 10th, which is a Wednesday this year. November 10th is exactly 6 months after June 10th, so the friend's birthday is also a Wednesday this year.

The increase in the area of the circle is 64π, not 39π. If the original circle had an area of 25m, then the original radius was 5. The new radius would be 5 + 3 = 8. The new area would be 8^2 * pi = 64 * pi = 64π.

Let X be the number of 4 point scores that Hunter made and Y be the number of 9 point scores. X + Y = total number of scores and 4X + 9Y = 755. Substituting Y = 100 + X, we get 4X + 900 = 755. Solving for X, we get X = 41. Therefore, Hunter made 41 4 point scores.