Laura fills a bucket with water at a rate of 6 l/min. at the same time, sarah empties a bucket holding 30 l of water at a rate of 9 l/min. let l represent the number of liters of water and let t represent time in minutes. the system models this situation.
how many minutes will it take for the buckets to hold equal amounts of water, and how much water will that be?
l = 6t
l = 30 – 9t
it will take minutes for both buckets to hold equal amounts of water. they will each hold liters.

the real question is why is this guys last name heavyfoot

step-by-step explanation:

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