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3 years ago

What is the sum of all even numbers between 1 and 1000

1 answer:

4 0

There are 500 even numbers from 1 to 1000 starting with 2 and ending with 998. The sequence of even numbers is an arithmetic sequence with a common difference of 2. Using the equation for the arithmetic series,

S = (a1 + an)(n/2)
and substituting,

S = (2 + 998)(500/2)
we get,

S = 250,000

Therefore, the sum of all even numbers between 1 and 1000 is 250,000.

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Write a division problem that has a 3-digit dividend and a divisor between 10 and 20. Show how to solve it by drawing a quick pi

stich3 [128]

Answer:

In the division problem,

The number which is divided is called dividend,

While, the number which divides, is called divisor,

Let dividend = 150 ( a three digit number ),

Divisor = 15 ( a number between 10 and 12 ),

So, the problem would be,

$150\div 15$

In the below figure,

Take a grid that shows 150,

Divide this grid such that each box represents 15,

Thus, there are such 10 boxes,

That is,

$150\div 15 = 10$

7 0

3 years ago

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Simplify 1/3 12x - 6 A. -2x-1 B.-2x-8 C.-x+4 D.3x+10 E. 4x-2

Natali5045456 [20]

1/3(12x - 6)

4x - 2: e

4 0

3 years ago

Write in simplest form.

Jobisdone [24]

The answer will be y^2/4 (I’ve written up properly on the photo as I can’t type it)

3 0

3 years ago

Use a matrix to solve the system:

Romashka-Z-Leto [24]

Answer:

(2.83 , 1 , 4)

Step-by-step explanation:

$2x+2y-z=4\\4x-2y-2z=2\\3x+3y-4z=-4\\$

Rewrite these equations in matrix form

$\left[\begin{array}{ccc}2&2&-1\\4&-2&-2\\3&3&-4\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\$

we can write it like this,

$AX=B\\X=A^{-1}B$

so to solve it we need to take the inverse of the 3 x 3 matrix A then multiply it by B.

We get the inverse of matrix A,

$A^{-1}=\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right] \\$

now multiply the matrix with B

$X=A^{-1}B\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right]\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}2.83\\1\\4\end{array}\right] \\$

4 0

3 years ago

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xxTIMURxx [149]

Answer:

1. MIGHT be 16 1/2

Step-by-step explanation:

causse 2/3 / 4/9 = 1 1/2

1 1/2 + 10= 11 +5 = 16

16+1/2 = 16 1/2

4 0

3 years ago

Read 2 more answers