How many 5/16 foot pieces of wood can you cut from a board that is 1 19/16 feet long?

5 pieces

Step-by-step explanation:

To find the number of pieces divide 1 7/8 by 3/8

Change 1 7/8 to an improper fraction

substitute this value into the equation

to solve this complex fraction remove the bottom fraction by multiplying both the top and bottom fractions by the inverse of the bottom fraction.

Multiplying by the inverse results in a product of 1 so the result is

dividing by 1 gives just the top fraction.

Dividing out common factors leaves

b.-4 units

all you   do is count how many times you move

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