you find that H = 2 . Using O = from above, you can solve for O: O = = 4. Add the sides and you get 14 + 2 , which is (C).- D A good approach to this question would be to plug in some numbers. Start with the number
of juniors and plug in a number that is easy to deal with, such as 200. Then you can set up aproportion using the ratio given in the question stem: . Cross-multiplyand solve for x to determine that the number of seniors would be 150. Next, use therelationship . Using 150 for seniors, you get .Cross-multiply and solve for x to determine that the number of sophomores would be 120.Next, use the relationship . Using 120 for sophomores, you get . Cross-multiply and solve for x to determine that the number of
freshmen would be 140. The ratio of freshmen to seniors, therefore, would be , which is (D).
75 Hayoung swims 2.5 miles. She runs 11 × 2.5 = 27.5 miles, and she bikes 18 × 2.5 = 45
miles. Her total triathlon mileage = 2.5 + 27.5 + 45 = 75 miles. The correct answer is 75.
5 Plug 1,230 in for the value of the function to get 1,230 = 250x − 20. Solve for x to get 1,250
= 250x and x = 5. The correct answer is 5.
918 In order to find the greatest profit, maximize the number of acres of soybeans Marty plants,
since soybeans bring in more money per acre than does wheat. At most, Marty can plant 7
acres of soybeans. Therefore, the most money he can make on soybeans is 7 × 120 = 840.
He then has 9 – 7 = 2 acres left on which to plant wheat. The money he makes from this
wheat is 2 × 90 = 180. The total amount Marty makes before taxes is therefore 840 + 180 =
1,020. The tax on this money equals 1,020 × 0.10 = 102. Subtract the amount Marty pays in
taxes to get 1,020 – 102 = 918 profit. The correct answer is 918.
19 The formula for the area of a circle is A = πr^2 . If a full circle were shown, its radius would
be 4, so the area of the full circle would be A = π4^2 = 16π. The interior angle of the fractionof the circle shown can be calculated as 90 + 45 = 135 degrees. Therefore, the figure