5) Wendy is starting a catering business and is figuring out which company is the best to bring her food to different locations. She has found two trucking companies. Peter's Pick Up charges
$0.40 per mile and charges a flat fee of $68. Helen's Haulers charges $0.65 per mile and
charges a flat fee of $23. Q1) For what distance would the cost of transporting to the produce
be the same for both companies? Q2) What is that equal cost? Q3) Which company charges a
lower fee for a 160-mile trip?

Find the maximum value of p= 4x + 5y subject to the following constraints :

Given: ae ≅ ce ; de ≅ be prove: abcd is a parallelogram. we have that ab || dc. by a similar argument used to prove that △aeb ≅ △ced, we can show that △ ≅ △ceb by. so, ∠cad ≅ ∠ by cpctc. therefore, ad || bc by the converse of the theorem. since both pair of opposite sides are parallel, quadrilateral abcd is a parallelogram.

In a study of the relationship between socio-economic class and unethical behavior, 129 university of california undergraduates at berkeley were asked to identify themselves as having low or high social-class by comparing themselves to others with the most (least) money, most (least) education, and most (least) respected jobs. they were also presented with a jar of individually wrapped candies and informed that the candies were for children in a nearby laboratory, but that they could take some if they wanted. after completing some unrelated tasks, participants reported the number of candies they had taken. it was found that those who were identiď¬ed as upper-class took more candy than others. in this study, identify: (a) the cases, (b) the variables and their types, (c) the main research question, (d) identify the population of interest and the sample in this study, and (e) comment on whether or not the results of the study can be generalized to the population, and if the ď¬ndings of the study can be used to establish causal relationships.