Answer:
C. 4 and 9
Step-by-step explanation:
All the factors of 36 is 1, 2, 3, 4, 6, 9, 12, and 36.
The <u>correct answer</u> is:
D) <span>if it's raining, then the humidity level is 100%; hypothesis: it is raining; conclusion: the humidity level is 100%.
Explanation:
The truth value of this conditional statement is true; if it is raining outside, that would mean the humidity level is 100%..
The hypothesis of a conditional statement is the "if" part. In this statement, what follows "if" is "it's raining"; this is the hypothesis.
The conclusion of a conditional statement is the "then" part. In this statement, what follows "then" is "the humidity level is 100%"; this is the conclusion.</span>
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:
16 years
Step-by-step explanation:
Let x represent the number of years. The suburb population is growing at a rate of 5000 per year after x years, it can be represented by the equation:
320000 + 5000x
The city population is declining at a rate of 14000 per year after x years, it can be represented by the equation:
624000 - 14000x
The number of years for the city and suburb population to be equal can be gotten from:
320000 + 5000x = 624000 - 14000x
14000x + 5000x = 624000 - 320000
19000x = 304000
x = 304000 / 19000
x = 16
In 16 years the populations of the suburb and the city be equal