1) If N is the set of natural numbers that are factors of 18, represent this set in roster form.
2) Suppose U={1,2,3,4,5,6,7,8,9,10} is the universal set and A={1,4,5,9,10} What is A?
3) The wrestling team is holding a car wash. The teams goal is to raise at lease 252 and each car wash cost 5.25.
a) Write an inequality to represent this situation.
4) A student scored a 78 and 93 on his first two assignments respectively. He wants an average between 88 and 90.
a) Write a compound inequality representing the possible values for the a third assignment so his average is between 88 and 90.
6) John is at a car show. Beginning 2.5 miles away, a car traveling at a constant 45 miles per hour approaches and then passes John. The distance between John and the car can be represented by the equation d=/2.5-4.5t/. at what times is the car 0.5 miles from john?
1) The factors of 18 are: 1, 2, 3, 6, 9, and 18. Therefore, the set N can be represented in roster form as {1, 2, 3, 6, 9, 18}.
2) Set A is {1, 4, 5, 9, 10}.
3) The goal of the wrestling team is to raise at least $252, and each car wash costs $5.25. Let's represent the number of car washes as x. The cost of x car washes would be 5.25x. The inequality representing the situation would be: 5.25x ≥ 252.
4) Let's represent the score on the third assignment as x. The average score should be between 88 and 90. Therefore, the inequality would be: (78 + 93 + x) / 3 ≥ 88 and (78 + 93 + x) / 3 ≤ 90.
6) The equation d = |2.5 - 4.5t| represents the distance between John and the car, where t represents time. To find when the car is 0.5 miles from John, we can set d = 0.5 and solve for t. So, 0.5 = |2.5 - 4.5t|.
1) To represent the set of natural numbers that are factors of 18 in roster form, we need to identify all the natural numbers that divide evenly into 18.
The factors of 18 are 1, 2, 3, 6, 9, and 18. Therefore, the set N can be represented as {1, 2, 3, 6, 9, 18} in roster form.
2) Given the universal set U={1,2,3,4,5,6,7,8,9,10} and set A={1,4,5,9,10}, we need to determine what elements are in set A.
By comparing the elements of set A to the elements of the universal set U, we can see that set A contains the numbers 1, 4, 5, 9, and 10. Therefore, the set A can be represented as A={1, 4, 5, 9, 10}.
3) The wrestling team's goal is to raise at least $252, and each car wash costs $5.25. To write an inequality representing this situation, we can let c be the number of car washes:
The total amount raised from car washes can be represented as 5.25c, and it should be greater than or equal to $252:
5.25c ≥ 252
This inequality states that the total amount raised from car washes (5.25c) should be greater than or equal to $252.
4) The student wants to have an average between 88 and 90 on his first three assignments. Given the scores of 78 and 93 on his first two assignments, we need to find the possible values for his third assignment.
Let a represent the score on the third assignment. The average of the three assignments can be represented as (78 + 93 + a)/3, and it should be between 88 and 90:
88 ≤ (78 + 93 + a)/3 ≤ 90
This compound inequality states that the average of the three assignments should be greater than or equal to 88 and less than or equal to 90.
5) Apologies, but it seems like there was a mistake in the numbering of the questions. There is no question labeled as number 5.