Jamie's birthday party costs $7 plus an additional $3 for each guest he invites. How many guests can there be, at most, if Jamie can afford to spend a total of $43 on his birthday party -Rewarding-

__? Guests

Consider the system: y = 3x + 5 y = ax + b what values for a and b make the system inconsistent? what values for a and b make the system consistent and dependent? explain

What is the value of x when x + 7 = 21?

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.