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Kay [80]
3 years ago
6

There are 56 boys and 72 girls in an after-

Mathematics
1 answer:
Rufina [12.5K]3 years ago
3 0

Answer:

try 7 girls? im sorry if not right

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1. You are given the 3rd and 5th term of an arithmetic sequence. Describe in words how to determine the general term.
kozerog [31]

Step-by-step explanation:

1. In an arithmetic sequence, the general term can be written as

xₙ = y + d(a-1), where xₐ represents the ath term, y is the first value, and d is the common difference.

Given the third term and the fifth term, and knowing that the difference between each term is d, we can say that the 4th term is x₃+d and the fifth term is the fourth term plus d, or (x₃+d)+d =

x₃+2d. =x₅ Given x₃ and x₅, we can subtract x₃ from both sides to get

x₅-x₃ = 2d

divide by 2 to isolate d

(x₅-x₃)/2 = d

This lets us solve for d. Given d, we can say that

x₃ = y+d(2)

subtract 2*d from both sides to isolate the y

x₃ -2*d = y

Therefore, because we know x₃ and d at this point, we can solve for y, letting us plug y and d into our original equation of

xₙ = y + d(a-1)

2.

Given the third and fifth term, with a common ratio of r, we can say that the fourth term is x₃ * r. Then, the fifth term is

x₃* r * r

= x₃*r² = x₅

divide both sides by x₃ to isolate the r²

x₅/x₃ = r²

square root both sides

√(x₅/x₃) = ±r

One thing that is important to note is that we don't know whether r is positive or negative. For example, if x₃ = 4 and x₅ = 16, regardless of whether r is equal to 2 or -2, 4*r² = 16. I will be assuming that r is positive for this question.

Given the common ratio, we can find x₆ as x₅ * r, x₇ as x₅*r², and all the way up to x₁₀ = x₅*r⁵. We don't know the general term, but can still find the tenth term of the sequence

8 0
3 years ago
a circle has a radius of 3. an arc in this circle has a central angle of 60° . what is the length of the arc
Mashcka [7]

Answer:

Step-by-step explanation:

120

8 0
3 years ago
Read 2 more answers
Guyys!! Im helping my lil sister here but I completely forgot it?
iren [92.7K]

Answer:B:72


Step-by-step explanation:

Because you are doing multiplication and division in this problem

5 0
3 years ago
How do I work out 2x + 37 = 8x + 7
Setler [38]
You have to make sure that whatever you do to one side, you also do to the other.

2x + 37 = 8x + 7
2x + 37 - 2x = 8x + 7 - 2x
37 = 6x + 7
37 - 7 = 6x + 7 - 7
30 = 6x
30 / 6 = 6x / 6
5 = x
x = 5

Hope this helps! :)
7 0
3 years ago
Read 2 more answers
What is 3/5 miles and 1/3 hours as a unit rate?
finlep [7]

Answer:

try math-way

Step-by-step explanation:

4 0
3 years ago
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