Three families bought food at a baseball game. The Castillo family spent $27.50 on 2 burgers, 3 fries, and 4 drinks. The Peterson family
spend $26.50 on 3 burgers, 2 fries, and 3 drinks. The Barbour family
spent $27 on 2 burgers, 4 fries, and 2 drinks. What system of
equations could be used?

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

whew you’re speaking a different language

b.   e = 7.5h

hope this , lovely!