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Nuetrik [128]
3 years ago
13

The sum of 5 consecutive integers is 265. What is the fifth number in this sequence?

Mathematics
2 answers:
Anni [7]3 years ago
7 0
Let x = the first consecutive number
Then x + 1 = the second consecutive number
Then x + 2 = the third consecutive number
Then x + 3 = the fourth consecutive number
Then x + 4 = the fifth consecutive number

The sum of the 5 consecutive integers is 265

x + x + 1 + x + 2 + x + 3 + x + 4 = 265

Combine like terms.

5x + 10 = 265

Solve for x.

5x + 10 = 265
5x = 255 <-- Subtract 10 from each side
x = 51 <-- Divide both sides by 5

So, the fifth consecutive integer is 51 + 4 or 55.
son4ous [18]3 years ago
3 0
Five consecutive integers are:

n, n+1, n+2, n+3, n+4  the sum of which is:

5n+10=265  subtract 10 from both sides

5n=255, divide both sides by 5

n=51

Our fifth number was n+4 so the fifth number is 55
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7 0
3 years ago
in your class 7 students do not receive weekly allowance, 5 students receive $3, 7 students receive $5, 3 students receive $6, a
Gemiola [76]
The mean is the average of a set of numbers.
To find the mean of this data, form a number set by gathering all the numbers.
We need to find the average weekly allowance. To do this, each number in the number set should be the different allowances, and their quantity is the number of students who earned that allowance.
In this case, there would be seven 0s, five 3s, seven 5s, three 6s, and two 8s.

The numbers are:
0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 8, 8

To find the mean of these numbers, add then together then divide by the total amount of numbers.

This means doing:
(0 + 0 + 0 + 0 + 0 + 0 + 0 + 3 + 3 + 3 + 3 + 3 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 6 + 6 + 6 + 8 + 8) / 7 + 5 + 7 + 3 + 2

An easier formula could be used by using multiplication.
This would be [7(0) + 5(3) + 7(5) + 3(6) + 2(8)] / 24
This is a lot easier to read!
Now to solve it.
7 • 0 = 0
5 • 3 = 15
7 • 5 = 35
3 • 6 = 18
2 • 8 = 16
0 + 15 + 35 + 18 + 16 = 84
84 / 24 = 3.5

The mean is 3.5, or $3.50
This means that the average weekly allowance amongst these students is $3.50.

Hope this helps!
4 0
3 years ago
11+3(2x-1) = 20 -- x
attashe74 [19]

Answer:

x=3.50

Step-by-step explanation:

2*3.50=7

7-1=6

3+6=9

9+11=20

4 0
3 years ago
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