You drive from San Antonio to Houston, 1/3 the time at 20 mi/h and the other 1/3 at 68 mi/h, and the last 1/3 at 52mi/h. On the way back you travel one-half the distance at 35 mi/h and the other half at 55 mi/h. What is your average speed a) from San Antonio to Houston, b) from Houston back to San Antonio, and c) for the entire trip

If the ratio of sum of the first m and n terms of an ap is m2 : n2 , show that the ratio of its mth and nth terms is (2m − 1) : (2n − 1).

Simplify (2^5/3^2)^4 a. 2^20/3^8 b. 2^9/3^8 c. 8^5/12^2 d. 2/3^2

White shapes and black shapes are used in a game. some of the shapes are circles. while the rest are squares. the ratio of the number of white shapes to the number of black shapes is 5: 11. the ratio of the number of white cicrles to the number of white squares is 3: 7. the ratio of the number of black circles to the number of black squres is 3: 8. work out what fraction of all the shapes are circles.