Answer:
x= 4.5
Step-by-step explanation:
90-36=54
54 divided 12 = 4.5
6x+5=5x+8+2x
Add 2x to 5x
6x+5=7x+8
Subtract 6x from both sides
5=x+8
Subtract 8 from both sides
Final Answer: -3=x
And so no, -5 is not the solution to this equation.
Answer:
a subtraction sign belongs in the circle
Step-by-step explanation:
[4+8×3]÷(16-2) is:
[(4+24) ÷ 14] = 28/14 = 2
I suppose the fifth picture is right.
Answer:
$7,200
Step-by-step explanation:
r=p × n
where
r=revenue
p = price per item
n = number of items sold
A change in price changes quantity ( number sold)
Variable x changes with price, then
Let
p+x=a dollar price increase
p-x= a dollar price decrease
n+x= an increase in quantity sold
n-x= a decrease in quantity sold
Therefore,
A $2 dollar increase in price=p+2x
2 decrease in room quantity sold= n-2x
Substituting in the above equation
r=(p+2x)*(n-2x)
P=$60
n=180
Then
r=(60+2x)*(180-2x)
r=10,800-120x+360x-4x^2
r=-4x^2-240x+10,800
Solve the quadratic equation
The maximum value of x in the vertex = - b/2*a
Where
b=240
a=-4
Value of x=-240/2*(-4)
X=30
r=-4x^2-240x+10,800
=-4(30)^2-240(30)+10,800
=-4(900)-7200+10,800
=3,600-7200+10800
=$7,200
The rate that maximises revenue=$7,200