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vampirchik [111]
2 years ago
10

What is the sum of 3 consecutive integers of 87

Mathematics
1 answer:
Leviafan [203]2 years ago
3 0
Hey there! Hello!

So, to set this problem up, all you need to do is imagine that the smallest number of these consecutive integers is x. The next two numbers will be x+1, then x+2, and that, altogether, will equal 87. In a problem, this will look like this:

x+x+1+x+2=87

All we need to do is solve for x! We can simplify the problem by combining like terms:

x+x+x+1+2=3x+3=87
3x+3-3=87-3
3x/3=84/3
x=28

Now that we know what x is, we can plug it into our original problem:

x+x+1+x+2 = 28+29+30=87

Hope this helped you out! Feel free to ask me any additional questions if you need further clarification. :-)
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Find the 6th term of the arithmetic sequence X – 9, -X – 11, -3.3 – 13, ...
MrMuchimi

Answer:

-13x-23

Step-by-step explanation:

Given sequence:  x-9, -x-11, -3x-13

Therefore,

  • a_1=x-9
  • a_2=-x-11
  • a_3=-3x-13

General form of an arithmetic sequence: a_n=a+(n-1)d

(where a is the first term and d is the common difference)

To find the common difference, subtract a term from the next term:

\begin{aligned}d & =a_2-a_1\\ & =(-x-11)-(x-9)\\ & = -x-11-x+9\\ & = -2x-2\end{aligned}

Therefore,

a_n & =(x-9)+(n-1)(-2x-2)

To find the 6th term, input n = 6 into the equation:

\begin{aligned}\implies a_6 & =(x-9)+(6-1)(-2x-2)\\ & = (x-9)+7(-2x-2)\\ & = x-9-14x-14\\ & = -13x-23\end{aligned}

3 0
2 years ago
I really need help with this
aniked [119]

Answer:

5√202

Step-by-step explanation:

By Pythagoras theorem,

x^2 = 45^2 + 55^2

= 2025 + 3025

x^2 = 5050

x = 5√202

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3 years ago
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7 0
3 years ago
Factor completely
svet-max [94.6K]

Answer:

B.) 2(5x-4)(x+1)

Step-by-step explanation:

10x^2+2x-8

= 2(5x^2 + x - 4)

= 2(5x^2 + 5x - 4x - 4)

= 2[5x(x + 1) - 4(x + 1)]

= 2(5x-4)(x+1)

8 0
3 years ago
Read 2 more answers
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