Your class is learning to tie knots. each student needs a piece of rope that is 3/8 yard long. how many yards of rope are needed for the 16 students in your class?

6 yards

Step-by-step explanation:

Given that one class is learning to tie knots

There are 16 students in the class.

Each student has to have a separate piece of rope to learn to tie knots.

Length of the piece of rope needed for each child = 3/8 yars

Hence total length required for all the  16 students would be

a direction variation question

So we multiply 16 by 3/8 to get

answer.

Answer = 16(3/8) = 6 yards

7.25

step-by-step explanation:

we know that 7 equals to 7.0. we also know that 1/4=0.25. so we can add the two together and we get 7.25

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