Answers:
- the expression consists of 2 factors
- each factor has 3 terms
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Explanation:
The two factors are (a+b+c) and (d+e+f). A factor is a part of multiplication. So in general if we multiply x and y, then x and y are factors to lead to the product x*y.
The expression a+b+c has three terms. Each term is separated by a plus sign.
The expression d+e+f also has three terms.
The number of ways that the dancers can line up is; 518400 ways
<h3>What is the Fundamental Counting Theorem?</h3>
The fundamental counting theorem is a theorem that states that if there are n things, each with ways to be done, each thing independent of the other, the number of ways they can be done is:
N = n1 * n2 * n3.....*nₙ
Total = 12
Dancers on Green = 6
Dancers on blue = 6
Number of ways for those wearing green = 6!
Dancers wearing green must be in the first position and so 6 places are left for the blue dancers.
Number of ways to arrange those wearing blue = 6!
Thus;
Number of ways that the dancers can line up = 6! * 6! = 518400 ways
Read more about Fundamental Counting Theorem at; brainly.com/question/26814852
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Answer:
187
Step-by-step explanation:
9y=99
y=11
17y=x
x=187
The answer is B.16 : 52.
Let's compare all ratios to 4 : 13.
A. In order to be equivalent to 4 : 13 the ratio should be 8 : 26
4 : 13 = (4×2) : (13×2) = 8 : 26
B. In order to be equivalent to 4 : 13 the ratio should be 16 : 52
4 : 13 = (4×4) : (13×4) = 16 : 52 - Thus, this is the right choice.
C. In order to be equivalent to 4 : 13 the ratio should be 12 : 39
4 : 13 = (4×3) : (13×3) = 12 : 39
D. In order to be equivalent to 4 : 13 the ratio should be 20 : 65
4 : 13 = (4×5) : (13×5) = 20 : 65