1) 8 365/7 has a remainder of 1. This means that for each date in the following year the day of the week is shifted one to the right. For example, if January 1st was Monday then the last day of the year would be Monday again due to the remainder of 1 when 365 is divided by 7, meaning that January 1st of the following year would be a Tuesday. Therefore whatever date is a Thursday in 2029 will end up being a Friday in 2030. Since January 2nd is a Friday in 2029, the Thursday is 6 days later on January 8th. 2) 9:04 The route with the shortest distance is the hypotenuse of a right triangle with 2 miles and 6 miles as the legs. This is found using the Pythagorean theorem: square root of (2^2 + 8^2) = 6.325 miles. Using the equation Distance / Rate = Time, it takes Jason 6.325 / 20 = 0.316 hours which is equivalent to 0.316 x 60 = 18.96 minutes rounded to 19. If he left at 8:45 then he arrives 19 minutes later at 9:04 3) 5.28 The volume of the first three phones is found by multiplying the dimensions given: 6.57 x 3.19 x 0.33 = 6.92 cubic inches 7.41 x 3.18 x 0.29 = 6.83 cubic inches 7.43 x 2.98 x 0.38 = 8.41 cubic inches The dimensions of Jerome’s phone can be found by first realizing that the midpoints of the vertical sides were at the same y-coordinate with x-coordinates of 0 and 2.88. This means that there is a 2.88 inch horizontal width. The same can be done with the y-coordinates of the horizontal midpoints to find a vertical length of 7.05. Therefore the dimensions are 2.88 x 7.05 x 0.26 = 5.28 cubic inches which is the smallest 4) 2:27 Each number in the sequence is multiplied by 2 and then subtracted by 3 to find the next number. Therefore the next number in the sequence is (115 x 2) - 3 = 227 5) Jerome