Hello!
(this took me 20 minutes to type out from what I wrote on paper lol)
I'm going to guide you through this one step at a time
Step 1: Simplify both sides of the equation.
2.3(6−x)+22 = 96−2.3(2x+12)
(2.3)(6)+(2.3)(−x)+22 = 96+(−2.3)(2x)+(−2.3)(12) (use distributive property of multiplication)
13.8+−2.3x+22 = 96+−4.6x+−27.6
(−2.3x)+(13.8+22) = (−4.6x)+(96+−27.6) (Combine The Like Terms)
−2.3x+35.8 = −4.6x+68.4
−2.3x+35.8 = −4.6x+68.4
Step 2: now, add 4.6x to both sides.
−2.3x+35.8+4.6x = −4.6x+68.4+4.6x
2.3x+35.8 = 68.4
Step 3: next, subtract 35.8 from both sides.
2.3x+35.8−35.8 = 68.4−35.8
2.3x = 32.6
Step 4: Divide both sides by 2.3.
= 
fractions solved: x = 14.173913
your final answer is: x = 14.173913
I hope this helps, and have a nice day!
4 students per table
20/5 = 4 (students/tables = students per table)
Answer:
The Inverse Tangent Function (arctan)
Graph of y = tan x.
Answer:
The answer to your question is below
Step-by-step explanation:
Part A.
-3x + 7y = 13
Solve the equation for "y"
7y = 3x + 13
y = 
Part B.
Two lines are parallel if their slopes are the same
Two lines are perpendicular if their slope are opposite reciprocals
Slope of the first line = 
Slope of the second line =
Conclusion: the lines are parallel because their slopes are the same.
Here's a little known but very useful factoid:
If they're inversely proportional,
then their product is constant.
Here's how to use it:
-- We're told that Y = 8 when X = 7.
So when y=8 and x=7, their product is 56 .
-- If Y REALLY varies inversely as X, then
their product is ALWAYS going to be 56.
-- So when Y=4, X= (56/4) = 14 .
