Answer: The equation is given by: 9- 1/3x = 7
Step-by-step explanation:
Let the number be denoted by x.
Now, we are given a word phrase as follows one-third of a number less than nine is equal to seven.
Now this word phrase could be mathematically expressed as a equation by: one third of x is 1/3 x
And this number less than 9 is given by :
9- 1/3x
Now, this number is equal to 7.
I.e. we finally have:
9- 1/3x = 7
A1 = 6 a5 = -6
a1 + d(n-1) = -6
6 +4d = -6
4d = -12
d = -3
a3 = a2 + d = -6 -3 = -9
Revenue = 7.5x - 100
Operation Costs = 5.8x + 79.86
To break even, operation cost = Revenue
⇒ 7.5x - 100 = 5.8x + 79.86
7.5x = 5.8x + 179.86 (Add 100 to both sides)
7.5x - 5.8x = 179.86
1.7x = 179.86
x = 105.8
This implies that the company will need to sell at least 106 items to make a profit.
The inequality that will determine the number of items at need to be sold to make a profit is x ≥ 106
The solution to the inequality is as follows
Revenue = 7.5x - 100
if x =106
Revenue = 7.5(106) - 100
Revenue = 695
Operational Cost = 5.8x + 79.86
if x = 106
Operational Cost = 5.8(106) + 79.86
Operational Cost = 694.66
Profit ≥ (695 - 694.66)
Profit ≥ 0.34
The company must sell at least 106 items to make a profit.
The relation ship is:
Cost per mile = Total cost / miles
P = C / m
Answer:
4 hours
Step-by-step explanation:
Write an equation
19 +1.5x < 15+2.75x
Subtarct 15 on both sides
4+1.5x<2.75x
subtract 1.5x on both sides
4< 1.25x
Divide 1.25 on each side
3.2<X
Since they on,y charge per hour so 4 hours
