Answer:
23 because ya
Step-by-step explanation:
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<h3>
Answer: 542.5</h3>
This is equivalent to the fraction 1085/2
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Explanation:
AP stands for "arithmetic progression", which is another name for "arithmetic sequence"
a1 = -10 is the first term
the 15th term happens when n = 15, so
an = a1 + d*(n-1)
a15 = -10 + d(15-1)
a15 = 14d-10
Set this equal to 11 (the stated 15th term) and solve for d
a15 = 11
14d-10 = 11
14d = 11+10
14d = 21
d = 21/14
d = 3/2
d = 1.5 is the common difference
Let's find the nth term
an = a1 + d(n-1)
an = -10 + 1.5(n-1)
an = -10 + 1.5n - 1.5
an = 1.5n - 11.5
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The last term is 41, so we'll replace the 'an' with that and solve for n
an = 1.5n - 11.5
41 = 1.5n - 11.5
41+11.5 = 1.5n
52.5 = 1.5n
1.5n = 52.5
n = (52.5)/(1.5)
n = 35
So the 35th term is 41.
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We're summing n = 35 terms from a1 = -10 to an = 41
S = sum of the first n terms of arithmetic progression
S = (n/2)*(a1 + an)
S = (35/2)*(-10+41)
S = 542.5
The 35 terms add up to 542.5 which is the final answer
As an improper fraction, this converts to 1085/2
Answer:
- <u>The number of groups in 3 is 4 groups.</u>
- <u>The number of groups in 5 is 7 groups.</u>
Step-by-step explanation:
Let the number of groups in 3 ⇒ x
Let the number of groups in 5 ⇒ y
There are 11 groups. ⇒ x + y = 11 →(1)
There are 47 people. ⇒ 3x + 5y = 47 →(2)
Solve (1) and (2) to get x and y.
From (1) ⇒ y = 11 - x →(3)
By substitution from (3) at (2) with y
∴ 3x + 5(11-x) = 47
3x + 55 - 5x = 47
-2x = 47 - 55 = -8
∴ x = -8/-2 = 4
∴ y = 11 - x = 11 - 4 = 7
So, the number of groups in 3 is 4 groups.
the number of groups in 5 is 7 groups.
Answer:
x = 3.5
Step-by-step explanation:
diameter = radius × radius
d= ( 3x + 1 ) + ( x + 8 )
3x + 1 = x + 8
subtract 1 and x
2x = 7
divide by 2
x = 3.5
Answer:
1.41
Step-by-step explanation:
3/4 = 75/100 = 0.75
0.75 + 0.66 = 1.41
