A company makes 120 bags. 28 of the bags have buttons but no zips.
41 of the bags have zips but no buttons.
23 of the bags have neither zips nor buttons.
A bag is selected at random.
What is the probability that the bag has buttons?

Which system of linear inequalities is represented by the graph?

In each of the cases that follow, the magnitude of a vector is given along with the counterclockwise angle it makes with the +x axis. use trigonometry to find the x and y components of the vector. also, sketch each vector approximately to scale to see if your calculated answers seem reasonable. (a) 50.0 n at 60.0°, (b) 75 m/ s at 5π/ 6 rad, (c) 254 lb at 325°, (d) 69 km at 1.1π rad.

Rewrite the following quadratic functions in intercept or factored form. show your work. y = x^2 + 7x + 10