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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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4 0
3 years ago
42/40 into a mixed number is??
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So, as we see that 42 is more than the denominator, so, we would have to see by how much it would be over.

40-42=2.

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6 0
3 years ago
Need answers ASAP
a_sh-v [17]
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v = 4/3 * 3.14 * 18³
v = 4.186 * 5832
v = 24,416.64 cm³

Volume of a Sphere = 4/3 πr³
v = 4/3 * 3.14 * 12³
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In short, Your Answer would be: 17182.08 cm³

Hope this helps!
6 0
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