9(2x-1)=3(x+2)+3x
18x-9=3x+6+3x
18x-9=6x+6
18x-6x=6+9
12x=15
x=15/12
x=5/4
Answer:
1.1h+0.75c=4.55---------------1
h+c=5--------------2
Step-by-step explanation:
Step one:
given data
total lunch items= 5
let hot dogs be h
and cookies be c
cost of hot dogs = $1.10
cost of cookies = $0.75
total cost = $4.55
Step two:
The linear model for the total cost is given as
4.55=1.1h+0.75c---------------1
and the model for the number of items is
h+c=5--------------2
The systems of the equation for the situation is
1.1h+0.75c=4.55---------------1
h+c=5--------------2
Part a) Total Cost
Total Cost for recapping the tires is the sum of fixed cost and the variable cost. i.e.
The total cost is ( $65,000 fixed) + (15,000 x $7.5)
=$65,000+$112,500
=$177,500
Part b) Total Revenue
Revenue from 1 tire = $25
Total tires recapped = 15000
So, Total revenue = 15000 tires x $25/tire
Total Revenue =$375,000
Part c) Total Profit
Total Profit = Revenue - Cost
Using the above values, we get:
Profit = $375,000 - $177,500
Profit = $197,500
Part d) Break-even Point
Break-even point point occurs where the cost and the revenue of the company are equal. Let the break-even point occurs at x-tires. We can write:
For break-even point
Cost of recapping x tires = Revenue from x tires
65,000 + 7.5 x = 25x
65,000 = 17.5 x
x = 3714 tires
Thus, on recapping 3714 tires, the cost will be equal to the revenue generating 0 profit. This is the break-even point.
Answer:
not direct variation
Step-by-step explanation:
The equation for x and y in direct variation is
y = kx ← k is the constant of variation
y =
is not in this form, thus not direct variation.
The equation for x and y varying inversely is
y =
← k is the constant of variation
y =
is in this form and represents inverse variation
Answer:
5/54
Step-by-step explanation:
probability of the dice being 5 = 1/6
probability of the dice being a factor of 6 = 4/6
probability of the dice being more than 1 = 5/6
1/6 * 4/6 = 4/36
4/36 * 5/6 = 20/216
20/216 simplified to lowest is equal to 5/54