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)!)
Answer:
$44
Step-by-step explanation:
Use formula
% out of 100/100% = part/whole
20%/100 = 12/16+x
Cross multiply
(12)(100) = (20)(16+x)
1200=320+20x
Solve for x
1200-320 = 20x
880 = 20x
880/20 = x
44 = x
Jim's lunch was $44.
Answer:
Simplifying
12t + -8t = 0
Combine like terms: 12t + -8t = 4t
4t = 0
Solving
4t = 0
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Divide each side by '4'.
t = 0
Simplifying
t = 0
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
the graph gets translated 5 units above its parent graph of y = x
Answer:
The answer is C. 546.
If a population decreases by 11%, that means that 89% (100% - 11% = 89%) of cheetahs remains each number. 89% can be expressed as 0.89, so to calculate the change of the population, we must each year multiply the number of cheetahs by 0.89.
After 1 year: 1750 * 0.89 ≈ 1558
After 2 years: 1558 * 0.89 ≈ 1387
After 3 years: 1387 * 0.89 ≈ 1234
After 4 years: 1234 * 0.89 ≈ 1098
After 5 years: 1098 * 0.89 ≈ 977
After 6 years: 977 * 0.89 ≈ 870
After 7 years: 870 * 0.89 ≈ 774
After 8 years: 774 * 0.89 ≈ 689
After 9 years: 689 * 0.89 ≈ 613
After 10 years: 613 * 0.89 ≈ 546
Step-by-step explanation:
