Answer:
It could either be 455 or 680, based on assumptions.
Step-by-step explanation:
Assuming the three choices are distinct, we can calculate...
15C3 = 15·14·13/(3·2·1) = 35·13 = 455
ways to create the pizza.
___
In the case where two or more of the toppings may be identical, this would lead to...
2(15C2) + 15C1 = 2·105 + 15 = 225
additional combinations, resulting in a grand total of...
455 + 225 = 680
unique pizza varieties.
__
There is a multiplication factor of 2 for the two-topping selections, since it allows for variations like double anchovies and tomatoes or double tomatoes and anchovies when the topping choices are anchovies and tomatoes.
_____
nCk = n!/(k!(n-k)!)
I believe that A is the right letter designation for D1.
Answer:
Step-by-step explanation:
I'm fairly certain that addition is needed here.
When we combine two fractions like 3/4 + 3/4, we ensure that the denominators (the bottom parts) are identical before simply adding the numerators (the top parts).
In this case, the denominators match, so we straightforwardly combine 3+3 to get 6/4. The denominator remains the same.
answer:
3/4 + 3/4 = 6/4
Hope this helps!
Answer: The correct formulation is option A.)A = x(x − 4) − 0.5(8)(x − 4) − 4(8)
Step-by-step explanation:
To calculate the area that needs painting in the theater room in square feet, follow these steps:
1. Calculate the area of the theater room
Length: x
Width: x-4
A (area of theater room) = x (x-4)
2. Calculate the area of the right triangle
Height: x-4
Base: 8
A (area of right triangle) = 0.5 (8) (x-4)
3. Calculate the area of the rectangle designated as a closet
Length: 8
Width: 4
A (closet) = 8 (4)
4. The painted area is calculated by subtracting the areas of the right triangle and the closet from the total area of the theater room:
A= A(theater room) - A(right triangle) - A (closet)
A = x (x-4) -0.5 (8) (x - 4) - 4 (8)
Thus, the proper equation to compute the area is option A.
Answer:
Two solutions exist, specifically one at -2 and another at 2.
Step-by-step explanation:
|–2x| = 4
2x = 4 leads to x = 2 and
2x = -4 leads to x = -2.
