You are using a local home remodeling company to remodel your kitchen. They have 9 different cabinet door styles, 18 countertop choices, and 15 different types of flooring. How many different kitchen remodels could be done using these material choices

Achel bought 12 rolls of packing tape and paid a total of $33.60. kevin also bought rolls of packing tape. the table shows the total amount he is paid for different numbers of packing tape. number of rolls of packing tape total amount paid 2 $6.40 5 $16.00 8 $25.60 how do the unit rates compare? select from the drop-down menus to correctly complete the statement. rachel's unit rate is than kevin's because is greater than .

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

Jabari is power washing houses for a summer job. for every job, he charges an initial fee plus $30 for each hour of work. his total fee for a 4 -hour job, for instance, is $170 . jabari's total fee,f, for a single job is a function of the number,t, of hours it takes him to complete the job. write the function's formula.