Answer:
455 or 680, depending
Step-by-step explanation:
If we assume the three choices are different, then there are ...
15C3 = 15·14·13/(3·2·1) = 35·13 = 455
ways to make the pizza.
___
If two or three of the topping choices can be the same, then there are an additional ...
2(15C2) +15C1 = 2·105 +15 = 225
ways to make the pizza, for a total of ...
455 + 225 = 680
different types of pizza.
__
There is a factor of 2 attached to the number of choices of 2 toppings, because you can have double anchovies and tomato, or double tomato and anchovies, for example, when your choice of two toppings is anchovies and tomato.
_____
nCk = n!/(k!(n-k)!)
Answer:
17/5
Step-by-step explanation:
23=5x+6
23-6=5x
17=5x
X=17/5
Answer:
y=x+8 and y=3x
Step-by-step explanation:
The Given point is (4,12)
now we can substitute the point in each of the function and check wether it lies on it or not.
A. y=x+8
substitute y=12,x=4
12=4+8=12 which is true
B. y=3x
substitute y=12,x=4
12=3*4=12 which is true
C. y=2x
substitute y=12,x=4
12=2*4=8 which is not true
D. y=x+6
substitute y=12,x=4
12=4+6=10 . which is not true
Therefore option A and B are correct.
Given the equation :

So, to find d , divide both sides by ( -6 )
So,

Note: when we divide two negative numbers, the result will be a positive number
Volume=Length * Width * Height
Volume= 8 * 4 * 2
Volume=64m