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.
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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.
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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)!)
Sin 45° = opposite side / hypotenuse
1/2 = 8/h
h = 16
2)6/12 = 1/2
1/2 = sin 45°
6√3/12 = √3/2
√3/2 = cos 30°
Sum of angles of triangle = 180°
The 3rd angle = 180 - (45 + 30) = 180 - 75 = 105°
Angles = 30° , 45° , 105°
Answer:
$18.50
Step-by-step explanation:
You notice he gets $74 in 4 hours in which when you need to simplify it:
74/4
when you do this you should get
18.5
So Aaron's hourly pay rate is $18.50
Answer:
The quotient of the rational function is 
.
Step-by-step explanation:
We proceed to solve the expression by solely algebraic means below:
1) 
Given
2) 
Modulative property
3) ![\frac{(3\cdot x +5) + [1+(-1)]}{x+2}](https://tex.z-dn.net/?f=%5Cfrac%7B%283%5Ccdot%20x%20%2B5%29%20%2B%20%5B1%2B%28-1%29%5D%7D%7Bx%2B2%7D)
Existence of additive inverse/Associative property
4) 
Definition of addition/Commutative and associative properties
5) 
/ 
/Distributive property
6) Definition of division/Existence of multiplicative inverse/Modulative property/Definition of subtraction/Result
The quotient of the rational function is .
The answer is 40*8.50 * 7.65/100 = 26.01 and that's your answer
