What is 413 divided by 7 please show explanation or picture if applicable.

The answer to this problem is 59.

Explanation:

Step 1:

Start by setting it up with the divisor 7 on the left side and the dividend 413 on the right side like this:

         7⟌413

Step 2:

The divisor (7) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:

    0    7⟌413

Step 3:

Multiply the divisor by the result in the previous step (7 x 0 = 0) and write that answer below the dividend.

    0    7⟌413   0  

Step 4:

Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.

    0    7⟌413   -0      4  

Step 5:

Move down the 2nd digit of the dividend (1) like this:

    0    7⟌413   -0      41 

Step 6:

The divisor (7) goes into the bottom number (41), 5 time(s). Therefore, put 5 on top:

    05   7⟌413   -0      41 

Step 7:

Multiply the divisor by the result in the previous step (7 x 5 = 35) and write that answer at the bottom:

    05   7⟌413   -0      41     35 

Step 8:

Subtract the result in the previous step from the number written above it. (41 - 35 = 6) and write the answer at the bottom.

    05   7⟌413   -0      41    -35      6 

Step 9:

Move down the last digit of the dividend (3) like this:

    05   7⟌413   -0      41    -35      63

Step 10:

The divisor (7) goes into the bottom number (63), 9 time(s). Therefore put 9 on top:

    059  7⟌413   -0      41    -35      63

Step 11:

Multiply the divisor by the result in the previous step (7 x 9 = 63) and write the answer at the bottom:

    059  7⟌413   -0      41    -35      63     63

Step 12:

Subtract the result in the previous step from the number written above it. (63 - 63 = 0) and write the answer at the bottom.

    059  7⟌413   -0      41    -35      63   - 63      0

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Hope this helps!

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step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form