First, let x be the number of hours it will take for Hector to finish the same job alone. This means that every hour, Hector can do 1/x of the job. The amount of work done by Shawn and Hector in 6 hours should be equal to 1 complete work. This can be expressed as,
(1/9 + 1/x)(6) = 1
The value of x is 18. Thus, Hector can to 1/18 of the job in one hour.
Answer:
a
Step-by-step explanation:
aa
hi <3
lets call the unknown number 'x' for now and form an equation from what we know
1/3(x-9) = 15
now multiply both sides by 3
x - 9 = 45
add 9 to both sides
x = 54
hope this helps :)
Answer:
b. 63 units
Step-by-step explanation:
The breakeven point occurs when the revenue is equal to the expenses. It means that the profit is 0. So, for the Basic model, the revenue is the sell less the costs: $41 - $15 = $26.For the Deluxe model, the revenue per unit is 0 ($45 - $45).
So, calling x the Basic model units, ad y the Deluxe model units, the total revenue will be: 26x, which must be equal to the expenses = $1,310.40:
26x = 1310.40
x = 50.4 units
y = x/4, because for 1 Deluxe model four Basic models are selled.
y = 50.4/4 = 12.6 units
The total units for breakeven point is 50.4 + 12.6 = 63 units.
