27 cookies are oatmeal raisin cookies.
3/5ths of the cookies are oatmeal raisin, and 3/5ths of 45 is 27.
x+y =15
x-y = 3
add the two equations
2x = 18
divide by 2
x = 9
x + y = 15
9 + y =15
subtract 9
y = 9
The two numbers are 6 and 9
Answer:
6 combinations
Step-by-step explanation:
Let
x----> the number of adult tickets
y---> the number of a child tickets
we know that
5x+3y=100 ----> linear equation that represent the situation
y=-(5/3)x+(100/3)
The maximum number of adult tickets is 20 (20*$5=$100)
The maximum number of a child tickets is 33 (33*$3=$99)
Construct a table for different values of x and find the values of y
The possible combinations will be pairs of whole numbers
see the attached table
The solution is 6 combinations
Answer: The surface is (4*n + 2)*L^2
Step-by-step explanation:
The surface of a cube is equal to 6 times the area of one of the sides.
So if the sides of the cube have a length L, we have that the area of one face is L^2, and the surface of the cube is 6*L^2
Now, if we put n of those cubes in a tower, we will have a shape were the bottom and the top still have an area of L^2, then the total area of the bottom and the top is 2*L^2
But each one of the sides has two sides of length L, and two sides of length n*L (n times the length of one of the sides), then the area of each side is equal to n*L*L = n*L^2
and we have 4 sides, then the total area of the sides is 4*n*L^2
Then the total surface of the tower is:
A = 4*n*L^2 + 2*L^2 = (4*n + 2)*L^2