Answer:<span>x=<span><span><span><span><span>−10/</span>3 </span>y </span>+ <span>4z</span></span>+<span>40/<span>3</span></span></span></span>
1. Find the Greatest Common Factor (GCF)
GCF=x
2. Factor out the GCF (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
x(2x^4/x + 5x/x) <---Fraction inside parenthesis.
3. Simplify each term in parentheses.
Answer is x(2x^3+5)
I hope this helps.
Let the number of reserved tickets = x
Let the number of lawn seats = y
Constraint functions:
Maximum capacity means
For concert to be held
means
Objective functions :
Maximum profit equation p = 65x +40y
Intersection points :
(10000,10000) (20000,0)(2500,2500)(5000,0)
p at (10000,10000) = 65(10000) + 40(10000) = $1050000
p at (20000,0) = 65(20000) + 40(0) = $1300000
p at (2500,2500) = 65(2500) + 40(2500) = $262500
p at (5000,0) = 65(5000) + 40(0) = $325000
Hence maximum profit occurs when all 20000 reserved seats are sold and the profit is $1300000
Please find attached the graph of it.
I use a tip calculator to help me so i did the Math and it Would Be 633.60
2 angle A and B are Complementary means that the sum of their measures is 90°.
2 angle A and B are Supplementary means that the sum of their measures is 180°.
Thus, if the measure of angle A is x:
the measure of the supplement is 180°-x
the measure of the complement is 90°-x
"The measure of a supplement of an angle is 40 more than two times the measure of the complement of the angle. "
let the measure of the angle be x, then we have:
180°-x=40°+2(90°-x)
180°-x=40°+180°-2x
2x-x=40°
x=40°
Answer: 40°