Sara left a bin outside in her garden to collect rainwater. she notices that 1 over 8 gallon of water fills 2 over 3 of the bin. write and solve an equation to find the amount of water that will fill the entire bin. show your work. explain your answer in words.

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).

Lizette is training for a marathon. at 7: 00 she left her house and ran until 8: 30, then she walked until 11: 30. she covered a total distance of 18 miles. her running speed was six miles per hour faster than her walking speed. find her running and walking speeds in miles per hour.

Which shaded region is the solution to the system of inequalities? y y[tex]\geq[/tex]-x+1