If you picture a cylinder rolled out flat. there would be two circles for top and bottom and then a rectangle for the side. The rectangle would have width equal to height and length equal to circumference.
So then the areas of the pieces are added together to get total surface area.
= 2pi(3x-2)^2 + 2pi(3x-2)(x+3)
and you can simplify this is you want by multiplying through and combining like terms.
= 2pi(12x^2 - 5x -2)
or factor more to simplify the solution.
= 2pi(3x-2)(3x-2+x+3)
= 2pi(3x-2)(4x+1)
Nothing to confuse. The number of partners are 3. $2.03 is the amount of tips they receive per hour. So devide $2.03 to get the amount of tip that one partner receives hourly, which is $0.68.
Now to create a function, it's clearly that the number of hours is the variable x so it would change depending on how many hours each employee has worked. So the equation will be :
y = 0.68x
Apply the number of hours of each employee and get the total of tip they receive per hour.
Edit : if the partners who are working is unknown you can write the equation based on this :
y = ((2.03)x)/n
n is the number of partners who are working so the amount of tip they will receive will depend on how many employees are working in the cafe.
Hope this helps !
Answer:
Firstly, rewrite the equation:
⅓ (18 + 27) = 81
Substitute x for the given number of it's supposed equivalent.
In this case x = 12.
⅓ (18(12) + 27) = 81
Solve using PEMDAS and simplify what is in the parenthesis first. Then, multiply.
(18 x 12) + 27 = 243
Now, solving using PEMDAS, multiply the total of what you got that was originally in the parenthesis by ⅓ .
⅓ (243) = 81
When you multiple these number they are equivalent to 81.
81 = 81
Since the equation given, when substituted x for 12, is equivalent to 81, this proves that substituting x for 12 makes this equation true.
Answer:
Step-by-step explanation:
I think it's 0.54
