For billy’s birthday party his mother has baked 80 cookies. 40 cookies contain vanilla and 45 contains nuts, and 15 contain both. one of billy’s friends, jim, is allergic to both nuts and vanilla, but he loves cookies! what is the largest number of cookies that jim can eat on billy’s birthday? (note that it is fine for jim to smell nuts and vanilla as long as he is not eating anything that contains them.)

On any given day, the number of users, u, that access a certain website can be represented by the inequality 1125-4530 which of the following represents the range of users that access the website each day? u> 95 or u < 155 95> u> 155 u< 95 or > 155 95

On the first of each month, shelly runs a 5k race. she keeps track of her times to track her progress. her time in minutes is recorded in the table: jan 40.55 july 35.38 feb 41.51 aug 37.48 mar 42.01 sept 40.87 apr 38.76 oct 48.32 may 36.32 nov 41.59 june 34.28 dec 42.71 determine the difference between the mean of the data, including the outlier and excluding the outlier. round to the hundredths place. 39.98 39.22 0.76 1.21

Consider the reaction 2x2y2+z2⇌2x2y2z which has a rate law of rate= k[x2y2][z2] select a possible mechanism for the reaction.