Arecycling center pays $0.10 per aluminium can and $0.05 per plastic bottle. the cheerleading squad want to raise $500. a. write a linear equation that describes the problem. b. if the cheerleading squad collects 6000 plastic bottles, how many cans will it need to collect to reach the goal?

step-by-step explanation:

i have done this all on a piece of paper but idk how to put it on here cuz it needs to be drawn

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west