1) There are two pet stores in zacharys town. There are dogs, cats, and hamsters at the first pet store. The second store has dogs, rabbits, and fish. Write a set that represents all of the different pets stores in the town.
2) of the 125 students in an elementary school, 89 students play checkers and 45 students play checkers and chess. How many students in the school play checkers?
3) Identify all the subsets of {2,9}
4) The cheerleading squad is having a bake sale. They want to bake at least 120 cookies. They made 12 cookies the first hour and 24 cookies the second hour.
a)Write an inequality that describes the scenario. Let Variable h represent the number of hours that must bake to meet or surpass the goal.
B) How many hours must they work to meet or surpass the goal?
1) To represent all the different pets stores in the town, we can create a set. Let's call the first pet store "Pet Store 1" and the second pet store "Pet Store 2". The pets available at Pet Store 1 are dogs, cats, and hamsters, while the pets available at Pet Store 2 are dogs, rabbits, and fish.
Therefore, the set that represents all the different pet stores in the town is:
{Pet Store 1, Pet Store 2}
2) Let's call the number of students who play checkers "C", and the number of students who play checkers and chess "CC". We are given that CC = 45 and the total number of students is 125.
To find the number of students who play checkers, we can use the principle of inclusion and exclusion. According to this principle, we can find the number of students who play checkers by subtracting the number of students who play both checkers and chess from the total number of students.
C = Total number of students - Number of students who play both checkers and chess
C = 125 - 45
C = 80
Therefore, 80 students in the school play checkers.
3) To find all the subsets of {2, 9}, we need to consider every possible combination of elements, including the empty set.
The subsets of {2, 9} are:
{}, {2}, {9}, {2, 9}
Therefore, the subsets of {2, 9} are: {}, {2}, {9}, {2, 9}.
4) a) Let's call the number of hours they work "h". The total number of cookies they need to bake to meet or surpass the goal is 120.
So, an inequality that describes the scenario is:
12h + 24h ≥ 120
b) To find the number of hours they must work to meet or surpass the goal, we need to solve the inequality from part a.
12h + 24h ≥ 120
36h ≥ 120
h ≥ 120/36
h ≥ 3.33
Since the number of hours must be a whole number, they must work at least 4 hours to meet or surpass the goal.