Tomorrow, mrs. wendel's class will be using toothpicks for a science project. each student must use at least 5 toothpicks for the project.

mrs. wendel knows that there is already a bag of 50 toothpicks in the class storage room. she plans to buy x additional toothpicks this afternoon to make sure her class will have enough.

if her class has 29 students, which number sentence represents this situation?

a.

1/29x+1 21/29 ≥ 5

b.

1/29+25/29 ≥ 5

c.

1/29+25/29 ≤ 5

d.

1/29x+1 21/29 ≤ 5

How do i do this? i don’t understand

Quick! a survey of 57 customers was taken at a bookstore regarding the types of books purchased. the survey found that 33 customers purchased mysteries, 25 purchased science fiction, 18 purchased romance novels, 12 purchased mysteries and science fiction, 9 purchased mysteries and romance novels, 6 purchased science fiction and romance novels, and 2 purchased all three types of books. a) how many of the customers surveyed purchased only mysteries? b) how many purchased mysteries and science fiction, but not romance novels? c) how many purchased mysteries or science fiction? d) how many purchased mysteries or science fiction, but not romance novels? e) how many purchased exactly two types of books?

In one day there are too high tides into low tides and equally spaced intervals the high tide is observed to be 6 feet above the average sea level after six hours passed a low tide occurs at 6 feet below the average sea level in this task you will model this occurrence using a trigonometric function by using x as a measurement of time assume the first high tide occurs at x=0. a. what are the independent and dependent variables? b. determine these key features of the function that models the tide: 1.amplitude 2.period 3.frequency 4.midline 5.vertical shift 6.phase shift c. create a trigonometric function that models the ocean tide for a period of 12 hours. d.what is the height of the tide after 93 hours?