Answer:
22-5f
Step-by-step explanation:
22 less then 5 would be 22-5 and then you have 5 times a number f so that would make it 5f so you would just attach the f to the 5. I hope this is helpful and is what you are looking for.
ANSWER
The x intercept is
![(-12,0).](https://tex.z-dn.net/?f=%28-12%2C0%29.)
The y intercept is
![(0, - 20).](https://tex.z-dn.net/?f=%280%2C%20-%2020%29.)
EXPLANATION
The equation of the given line is
![- 10x - 6y = 120](https://tex.z-dn.net/?f=%20-%2010x%20-%206y%20%3D%20120)
At x-intercept
![y = 0](https://tex.z-dn.net/?f=y%20%3D%200)
We substitute this y value to obtain the corresponding x value.
This implies that,
![- 10x - 6(0)= 120](https://tex.z-dn.net/?f=%20-%2010x%20-%206%280%29%3D%20120)
![- 10x - 0 = 120](https://tex.z-dn.net/?f=%20-%2010x%20-%200%20%3D%20120)
![- 10x = 120](https://tex.z-dn.net/?f=%20-%2010x%20%20%3D%20120)
We divide both sides by -10 to get,
![x = - 12](https://tex.z-dn.net/?f=x%20%3D%20%20-%2012)
The x-intercept is
![(-12,0).](https://tex.z-dn.net/?f=%28-12%2C0%29.)
At y-intercept also,
![x = 0](https://tex.z-dn.net/?f=x%20%3D%200)
We substitute this value of x into the equation to find the corresponding y-value.
This implies that,
![- 10(0) - 6y = 120](https://tex.z-dn.net/?f=%20-%2010%280%29%20-%206y%20%3D%20120)
![- 0- 6y = 120](https://tex.z-dn.net/?f=%20-%200-%206y%20%3D%20120)
![- 6y = 120](https://tex.z-dn.net/?f=%20%20-%206y%20%3D%20120)
We divide through by -6 to get,
![y = - 20](https://tex.z-dn.net/?f=y%20%3D%20%20-%2020)
The y-intercept is
Answer:
A) transversal
Step-by-step explanation:
The vocabulary term you're looking for is "transversal."
A transversal crosses parallel lines (or ones that are nearly parallel in the vicinity of the transversal).
The numbers of chairs and tables that should be produced each week in order to maximize the company's profit is 15 chairs and 18 tables.
Since a furniture company has 480 board ft of teak wood and can sustain up to 450 hours of labor each week, and each chair produced requires 8 ft of wood and 12 hours of labor, and each table requires 20 ft of wood and 15 hours of labor, to determine, if a chair yields a profit of $ 65 and a table yields a profit of $ 90, what are the numbers of chairs and tables that should be produced each week in order to maximize the company's profit, the following calculation should be done:
16 chairs; 24 tables
Time used = 16 x 12 + 24 x 15 = 192 + 360 = 552
Wood used = 16 x 8 + 24 x 20 = 128 + 480 = 608
15 chairs; 18 tables
Time used = 15 x 12 + 18 x 15 = 180 + 270 = 450
Wood used = 15 x 8 + 18 x 20 = 120 + 360 = 480
12 chairs; 28 tables
Time used = 12 x 12 + 28 x 15 = 144 + 420 = 564
Wood used = 12 x 8 + 28 x 20 = 96 + 540 = 636
18 chairs; 20 tables
Time used = 18 x 12 + 20 x 15 = 216 + 300 = 516
Wood used = 18 x 8 + 20 x 20 = 144 + 400 = 544
Therefore, the only option that meets the requirements of time and wood used is that of 15 chairs and 18 tables, whose economic benefit will be the following:
15 x 65 + 18 x 90 = X
975 + 1,620 = X
2,595 = X
Therefore, the numbers of chairs and tables that should be produced each week in order to maximize the company's profit is 15 chairs and 18 tables.
Answer:
63
Step-by-step explanation:
Make a ratio:
5 : 7 = 45 : x
x = 63