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 price of this wrapping paper per inch is equal to $1,198.08.
<u>Given the following data:</u>
- Cost of wrapping paper = $12.48.
- Length of wrapping paper = 8 foot.
To determine the price of this wrapping paper per inch:
<h3>
How to solve the problem.</h3>
In this exercise, you're required to solve for the cost of an 8-foot roll of wrapping paper that costs $12.48. Thus, we would convert the length of this wrapping paper in foot to inch and then multiply by $12.48.
<u>Conversion:</u>
1 foot = 12 inch
8 foot = X inch
Cross-multiplying, we have:

X = 96 inch
For price per inch:

Price = $1,198.08
Read more on word problems here: brainly.com/question/13170908
Tony's current scores are 22 and 25.
Let x = Tony's next score.
To make the lower required score of 27,
(x + 22 + 25)/3 = 27
x = 81 - 47 = 34
To make the upper required score of 32,
(x + 22 + 25)/3 = 32
x = 96 - 47 = 49
Answer:
Tony should score between 34 and 49
Step-by-step explanation:
This is the photo of the construction you needed
Answer:
B
Step-by-step explanation:
One way to tell is to put both equations into slope-intercept form. That form is usually written
where <em>m</em> is the slope and <em>b</em> is the y-intercept.
Solve the first equation for y.

The slope of this line is -3, and its y-intercept is 5/2.
Solve the second equation for y.

The slope of this line is -3 and its y-intercept is 2.
The lines are parallel because they have the same slope and <u>different</u> y-intercepts. There is no solution to the system.