Using the combination formula, it is found that you can select 2 boys and 5 girls in 2,520 ways.
In this problem, Joao and Elisa would be the same team as Elisa and Joao, hence the order is not important and the <em>combination formula</em> is used to solve this question.
<h3>What is the combination formula?</h3>
is the number of different combinations of x objects from a set of n elements, given by:
In this problem:
- 2 boys are selected from a set of 6.
- 5 girls are selected from a set of 10.
Hence:
You can select 2 boys and 5 girls in 2,520 ways.
More can be learned about the combination formula at brainly.com/question/25821700
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We need to write the sum in this form:
So, we need to find an appropriate sequence, such that 
is the i-th even number.
You can easily check that this series is 
. In fact, you have
and so on. Finally, we have to observe that we want the first 50 elements of this sequence, since 
.
So, the sum can be written as
Answer:
Explanation:
12x = 48 - 8y
10x + 8y = 38
———————
12x + 8y = 48
10x + 8y = 38
———————
12x + 8y = 48
-1(10x + 8y = 38)
————————
12x + 8y = 48
-10x - 8y = -38
————————
2x = 10
x = 10/2 = 5
If x = 5 then:
10x + 8y = 38
10(5) + 8y = 38
50 + 8y = 38
8y = 38 - 50
8y = -12
y = -12/8
y = -3/2
Therefore, x = 5 and y = -3/2
Answer: 4611/1000
Move the decimal place until it is a whole number and if you moved it 3 places the denominator will have that much zeros
6(x+4)+1
6x+24+1
6x+25
5+8(3+x)
5+24+8x
29+8x
8x+29
