Introduction: (In Your Notebook) Several students are surveyed about whether they prefer writing with a pen or a pencil and they are
also asked whether they prefer lined paper or unlined paper. Some of the results are:
• The survey included 100 different students.
• 40 students said they prefer using pen more than pencil.
• 45 students said they prefer using unlined paper more than lined paper.
• 10 students said they prefer lined paper and pen.
• 45 students said they prefer pencil and lined paper.
How could we determine the following?
1. How many students prefer using pencil more than pen? 60
2. How many students prefer using pen and unlined paper? 40
3. How many students prefer using pencil and unlined paper? 15

Beatrice decides she wants to babysit a few children at the same time to earn the money faster. she tells parents that if they allow her to babysit their children at her house, she will eliminate her automatic $5 tip and will give them an additional $5 discount. (a) write an equation showing the total cost for each client. identify all variables. (b) four parents bring their children to beatrice’s house at the same time for babysitting. beatrice wants to find out how many hours she must babysit the 4 children to earn exactly the $100 she needs in order to buy the present for her mother. write and solve an equation to find the number of hours. justify each step in the solution. (c) one parent decides not to drop off her child. the remaining 3 parents drop their children off at 9 a.m. two of the parents say they will be back at 1 p.m. the third parent says she will pick up her child at 2 p.m. at noon, beatrice realizes she needs feeding the 3 ch

Figure abcde is a regular pentagon. segment ae is located at a (2, 1) and e (4, 1). what is the perimeter of abcde? 4 units 6 units 8 units 10 units

Which of the following statements is not true? a.parallel lines are lines in the same plane that never intersect. b.congruent figures have the same shape and same size angles and sides. c.similar figures must have the same shape and the same size. d.a rotation is when you turn a figure around a certain point.