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3 years ago

The sum of the first 100 positive integers is 5,050. What is the sum of the first 200 positive integers?

Mathematics

1 answer:

AnnZ [28]3 years ago

3 0

The sum of the k for k=1 to k="n"=(n*(n+1))/2 , where "n" is the total integer.

In this problem n = 200

Sum = (200*201)/2 = 20,100

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I am so stressed can someone please help me <br><br> It’s 53 points

RoseWind [281]

Answer:

(3,1)

Step-by-step explanation:

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3 years ago

A group of college DJs surveyed students to find out what music to plan for their upcoming parties. Thirty percent of the studen

Aneli [31]

Answer:

Thus, option “c” 10% is correct.

Step-by-step explanation:

The percentage of students that like dubstep = 30%

The percentage of students that like trance music = 25%

The percentage of student that wants only house music = 20%

The percentage of students that like bot dubstep and trance = 15%

Now we have to find the percentage of students that like trance music but nor dubstep.

The percentage of students that like the trance music but nor dubstep = 100% - 30% – 25 % - 20% - 15%

The percentage of students that like trance music but nor dubstep = 10%

Thus, option “c” 10% is correct.

6 0

3 years ago

100 is 1/10 of what?

lawyer [7]

$\boxed{ \ 100 \ is \ \frac{1}{10} \ of \ 1,000 \ }$

<h3>Further explanation </h3>

The question can be rewritten to $\boxed{ \ 100 \ is \ \frac{1}{10} \ of \ M \ }$

This case about equations with one variable. We have to solve this calculation to obtain the value of M. Our task is to isolate the variable M alone at the end of the process on one side of the equation until the variable will be equal to a value on the opposing side.

Let's arrange it into an equation, i.e., $\boxed{ \ 100 \ = \ \frac{1}{10} \times \ M \ }$

Turn this equation over so that the position of variable M is on the left side.

$\boxed{ \ M \times \frac{1}{10} = 100 \ }$

Both sides are multiplied by 10 to isolate M on the left side. The fraction are eliminated.

$\boxed{ \ M \times \frac{1}{10} \times 10 = 100 \times 10 \ }$

M = 1,000

Therefore, we have calculated the number that was asked.

Hence $\boxed{ \ 100 \ is \ \frac{1}{10} \ of \ 1,000 \ }$

The significant thing to carry out is how to manipulate both sides of the equation with the algebraic properties of equality such as:

Adding
Subtracting
Multiplying, and/or
Dividing both sides of the equation with a similar number

And the commutative property of multiplication, i.e., $\boxed{ \ a \times b = b \times a \ }$

<h3>Learn more </h3>

The similar case brainly.com/question/106300
The similar case brainly.com/question/96882
Calculating mass based on density and volume brainly.com/question/4053884

Keywords: 100 is 1/10 of, solve, 1,000, variable, 2/7m - 1/7 = 3/14, algebraic properties of equality, one, linear equation, isolated, manipulate, operations, add, subtract, multiply, divide, fraction, equate, denominator, numerator, both sides, equal, the opposite, both sides are multiplied by, turn, calculation

7 0

3 years ago

I only have one question left please help?????!?

NemiM [27]

Option 4 would be the correct answer

7 0

3 years ago

Harpreet, Sukhpreet and Komalpreet are three sisters. Sukhpreet is x years old. Harpreet is 3 years older than Sukhpreet. Komalp

Ira Lisetskai [31]

Answer:

Step-by-step explanation:

Givens

Harpreet = x + 3

Sukhpreet = x

Komalpreet = 2*(x + 3)

Average Age = 15

Equation

[(x + 3) + x + 2*(x + 3) ] / 3 = 15 Multiply both sides by 3

Solution

3 [(x + 3) + x + 2*(x + 3) ] / 3 = 15 * 3 Combine

[(x + 3) + x + 2*(x + 3) ] = 45 Remove the brackets

x + 3 + x + 2x + 6 = 45 Combine like terms

4x + 9 = 45 Subtract 9 from both sides

4x + 9 - 9 = 45 - 9 Combine

4x = 36 Divide by 4

4x/4 = 36/4

x = 9

Answer

Harpreet is x+ 3 = 9 + 3 = 12

3 0

2 years ago