Stephanie adds pennies nickels and quarters to a scale until the mass of the combined coins is 75 grams. Each penny has a mass of 2.5 grams each nickel has a mass of 5 grams each quarter has a mass of 5.7 grams Create and equation to model this situation where x is the number of pennies y is the number of nickels and z is the number of quarters that Stephanie can put on the scale so that the mass of the combined coins exactly 75 grams

The graph of h(x)= |x-10| +6 is shown. on which interval is this graph increasing

Solve the triangle. a = 21°, c = 105°, c = 5

An annual marathon covers a route that has a distance of approximately 26 miles. winning times for this marathon are all over 2 hours. the following data are the minutes over 2 hours for the winning male runners over two periods of 20 years each. earlier period 14 12 15 22 13 10 19 13 9 14 20 18 16 20 23 12 18 17 6 13 recent period 7 11 7 14 8 9 11 14 8 7 9 8 7 9 9 9 9 8 10 8 (a) make a stem-and-leaf display for the minutes over 2 hours of the winning times for the earlier period. use two lines per stem. (use the tens digit as the stem and the ones digit as the leaf. enter none in any unused answer blanks. for more details, view how to split a stem.) minutes beyond 2 hours earlier period 0 1 2 (b) make a stem-and-leaf display for the minutes over 2 hours of the winning times for the recent period. use two lines per stem. (use the tens digit as the stem and the ones digit as the leaf. enter none in any unused answer blanks.) minutes beyond 2 hours recent period (c) compare the two distributions. how many times under 15 minutes are in each distribution