tailieunhanh - SAT II Math Episode 1 Part 6

Tham khảo tài liệu 'sat ii math episode 1 part 6', ngoại ngữ, ngữ pháp tiếng anh phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Math Practice Exercises and Solutions by Topic 95 6. If x y and x y and z are positive numbers which of the following is not necessarily true A x z y z B z z C x - z y - z z z D x -y E 7. If 5x 4t 6y 5t and t 0 then A x y B y x C x y D x - y E Comparison of x and y cannot be determined from the information given. 8. If t 1 and t increases which of the following decreases A e B t-2 c t2 - 4 D 2t - 1 E 2t - 2 Solutions on page 118 9. Verbal Problems 1. In a tank are 50 l water and 20 l of acid. How many liters of water must be evaporated to make the solution 40 acid 2. One pipe takes 6 hours to fill a tank and another pipe empties it in 8 hours. If both pipes are open how many hours will it take to fill the tank 3. Two motorists start from the same point at the same time and travel in opposite directions. One motorist travels 15 mph faster than the other. In 5 hours they are 550 miles apart. Find the rate of speed for each motorist. 4. The sum of the digits of a two-digit number is 10. If18 is added to the number the result is equal to the number obtained by reversing the digits of the original number. Find the original number. 5. The length of a rectangle is 2 ft more than its width. If the width were increased by 4 ft and the length diminished by 3 ft the area would increase by 49 sq ft. Find the dimensions of the rectangle. 6. A woman invested an amount of money at 5 and twice as much at 7 . If her total yearly interest from the two investments is 760 how much was invested at each rate Solutions on page 120 ARCO SAT II Math arco 96 Part IV 10. Geometry 1. In a circle with center at O arc ST measures 110 . What is the measure of angle STO 2. If the angles of a triangle are in the ratio of 2 3 5 what is the measure of the smallest angle 3. In the figure PQ II RS find the measure of x. 4. The diagonal of a rectangle is 26 cm and its height is 10 cm. Find the area of the rectangle in square centimeters. 5. A ship travels 60 mi north 90 mi west and .

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