Zak is ordering custom t-shirts for his soccer team. long-sleeved shirts cost $15 each and short-sleeved shirts cost $10 each. jacob can spend at most $270 and he wants to order at least 20 shirts. write the constraints using inequalities.

question 1 options:

15x + 10y < 270

15x + 10y ≤ 270

15x + 10y ≥ 270

x + y ≥ 20

x + y ≤ 20

x > 0

x ≥ 0

y < 0

y ≥ 0

Tim's phone service charges $23.06 plus an additional $0.22 for each text message sent per month. if tim's phone bill was $28.56, which equation could be used to find how many text messages, x, tim sent last month?

Ihave trouble finding the nth term of a linear sequence

I've been working on this for a few days and i just don't understand, it's due in a few hours. you. the direction of a vector is defined as the angle of the vector in relation to a horizontal line. as a standard, this angle is measured counterclockwise from the positive x-axis. the direction or angle of v in the diagram is α. part a: how can you use trigonometric ratios to calculate the direction α of a general vector v = < x, y> similar to the diagram? part b suppose that vector v lies in quadrant ii, quadrant iii, or quadrant iv. how can you use trigonometric ratios to calculate the direction (i. e., angle) of the vector in each of these quadrants with respect to the positive x-axis? the angle between the vector and the positive x-axis will be greater than 90 degrees in each case. part c now try a numerical problem. what is the direction of the vector w = < -1, 6 > ?