<span>7^2•3^2+(1+2)^0•3-4^2•1
= 49</span>•9 + 1•3 - 16<span>•1
= 441 + 3 - 16
= 428</span>
28a⁴b: 2 · 2 · 7 · a · a · a · a · b
16ab: 2 · 2 · 2 · 2 · a · b
GCF(28a⁴b, 16ab) = 4ab
The answer is A.
Answer:
1500 students
600 boys
Step-by-step explanation:
40% are boys, so 60% are girls.
Writing a proportion:
900 / 60% = x / 100%
x = 1500
There are 1500 students in the school, which means there are 600 boys in the school.
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:
- Cost of fish = Php. 60, amount of fish = x kg
- Cost of chicken = Php. 120, amount of chicken = y kg
- Budget = at most Php. 1200
a) <u>Required inequality (not a system as only one condition is given):</u>
<u>Simplified:</u>
- <em>The graph is attached</em>
b) <u>Verify ordered pair (10, 7):</u>
False inequality, so this pair is out of solution set
