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vodomira [7]
3 years ago
14

Find the value of the expression (-101)+102+(-103)+104+...+(-199)+200. (with steps)

Mathematics
1 answer:
Juliette [100K]3 years ago
5 0
 hello : 
<span>(-101)+102+(-103)+104+...+(-199)+200
=(  </span>(-101)+(-103) +....+ (-199) ) +( (102) + ( 104) +....+(200))
let : A = (  (-101)+(-103) +....+ (-199) )
       B = ( (102) + ( 104) +....+(200))
note : the sum n term of arithemtic sequence 
S= n/2(u1 + un)
 un = u1 +(n-1) d       u1 : the first term      d : the common diference
in A :  u1= -101      d = -2       n = 49... 
in B : u1 =102       d=2        n= 49
A = 49/2(-101-199) =-7350
B=49/2(102+200)=4949
(-101)+102+(-103)+104+...+(-199)+200 = A+B =-2401
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3 years ago
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Which of the following expressions represents the least common multiple of 15, 18, and 25?
Virty [35]

Answer:

(2)(3^2)(5^2)

Step-by-step explanation:

we know that

The <u>Least Common Multiple</u> (LCM) of a group of numbers is the smallest number that is a multiple of all the numbers.

we have

15,18 and 25

Decompose the numbers in prime factors

15=(3)(5)

18=(2)(3^2)

25=(5^2)

Multiply common and uncommon numbers with their greatest exponent

so

The LCM is equal to

LCM=(2)(3^2)(5^2)

LCM=450

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3 years ago
Solve the division equation using the model. (2 points)
julia-pushkina [17]
3 16
Explanation
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4 0
2 years ago
What is the equation of the line passing through the points (–25, 50) and (25, 50) in slope-intercept form?
allochka39001 [22]

The equation of the line passing through the points (-25, 50) and (25, 50) in slope-intercept form is <u>y = 50</u>. Hence, <u>4th option</u> is the right choice.

The slope-intercept form of a line is written as y = mx + b, where m is the slope of the line, and b is the y-intercept.

The slope of a line passing through the points (x₁, y₁) and (x₂, y₂) can be calculated using the formula, slope (m) = (y₂ - y₁)/(x₂ - x₁).

Therefore, slope of the line passing through the points (-25, 50) and (25, 50) can be calculated as m = (50 - 50)/(25 - (-25)) = 0/(-50) = 0.

We can find the equation of the line using the point-slope formula, according to which, a line having a slope m and passing through the point (x₁, y₁) can be written as y - y₁ = m(x - x₁).

Therefore, the equation of the given line can be written as:

y - 50 = 0(x - 25)

or, y - 50 = 0,

or, y = 50.

Therefore, the equation of the line passing through the points (-25, 50) and (25, 50) in slope-intercept form is <u>y = 50</u>. Hence, <u>4th option</u> is the right choice.

Learn more about the equation of a line at

brainly.com/question/18831322

#SPJ10

3 0
2 years ago
SOLVE AND EXPLAIN! b + m = 400?
kap26 [50]

Answer:

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Step-by-step explanation:

There are many answers to this problem. You can replace b and n for the number 200. You need to find what two numbers, added up, will give you 400. If b=200 and m=200, when added up, it will give you 400.

5 0
3 years ago
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