Answer:
Alisa practiced for 240 minutes (4 hours). In total, they practiced for 288 minutes (4.8 hours).
Step-by-step explanation:
If James practiced for 48, and Alisa practiced 5 times as long, then we would multiply 48 by 5 (240 minutes).
If we want to find how many minutes in total they practiced, then we would add 240 minutes (Alisa's practice time) and 48 minutes (James' practice time) together, which would equal 288 minutes (4.8 hours).
Equation: y=48+x
Answer:
$4.257
Step-by-step explanation:
Given:
Items delivered per hour = 14
Fixed hourly costs = $47
variable cost = $0.90
Now,
at breakeven point, the profit = 0
or
Total revenue = total cost
let the charge at breakeven point be 'x'
thus,
x × 14 = $47 + ($0.90 × 14)
or
x × 14 = $47 + $12.6
14x = $59.6
or
x = $4.257
Hence, the breakeven charges are $4.257
This can be rewritten as
(x -6)² = 90 . . . . . the left side is already a perfect square
x -6 = ±√90 . . . . . take the square root
x = 6 ±3√10 . . . . add 6