1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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
You might be interested in
What would be equation would be perpendicular to p(1,3), y = 2x - 1?
Nutka1998 [239]
Thats the answer p=0
y=2.×-1
7 0
2 years ago
FIND THE AREA PLEASE HELP ME HURRY IM LOST ON THIS ONE
kolbaska11 [484]
The area is 126in^2
Hope this helps
8 0
3 years ago
Factor the expression
charle [14.2K]
Hi

9k^2 + 24k + 16
= ( 3k + 4)(3k + 4)

Good luck

6 0
3 years ago
4x-1=3(0)+5 what is the answer to this equation
il63 [147K]

The answer is 3/2 or as a decimal 1.5

6 0
3 years ago
Why doesn't a cube root have two answers
user100 [1]

A cube root has THREE answers !

Unfortunately, two of them are 'complex' numbers, which involve
'imaginary' numbers', and those involve the square root of -1 . 
In Middle School, you're not equipped to go there yet. 

Just hang on for a few more years.  You'll learn all kinds of
beautiful things in math, more than you can imagine now.
You'll learn that whatever number the root is, there are
THAT many answers.

Like for example, if you want the 7th root of a number,
there are seven of them !

5 0
3 years ago
Other questions:
  • Angle C is an inscribed angle of circle P. Angle C measures (-3x - 6)° and arc AB measures (-4x)° . Find x
    14·2 answers
  • <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B2%7D%20%2B1%20%3D%20%5Csqrt%7B3%7D%20" id="TexFormula1" title=" \frac{x}{2
    7·1 answer
  • Rolex borrowed $3200 from his credit union for 4 years. He was charged 9.8% simple interest. What was the total amount he owed t
    10·1 answer
  • What is the answer a b or can it be c or d
    15·1 answer
  • Tom opens a bank account and makes an initial deposit of $500. The banker tells Tom that he is going to revive an annual rate of
    8·2 answers
  • Anybody can answer this for me ?
    13·2 answers
  • What the answer guys?
    13·1 answer
  • What is the quotient
    15·1 answer
  • I need to know then measurement of c
    13·2 answers
  • What is the solution of 5sin2θ=3 for 0≤θ≤2π? Please help.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!