Kevin has 3/4 yard of string. he used 1/3 of the string for a school project. how many yards of string did he use for his project.

Total length of the string Kevin has = 3/4 yard.

He used 1/3 of the total length of the string.

We have total length 3/4 yards.

Therefore, we need to find the 1/3 of 3/4 yards.

1/3 × 3/4

We can see that we have 3 in the bottom of first fraction and 3 on the top of second fraction.

Crossing out 3's we get,

= 1/4 yards.

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