Hannah has some scraps of ribbon measuring 3.52 meters, 17.3 meters and 27.009 meters. does she have enough to do a project requiring 50 meters of ribbon? if yes, how much ribbon will she have left? if no, how much more ribbon does she need?

No, 2.171m.

Step-by-step explanation:

Add all of measurements. 3.52+17.3+27.009=47.829

Compare 2 numbers.

47.829<50

So she needs more ribbon,because the length she has is less the requirement, 50m.

Find the difference(the length she needs).

50-47.829=2.171

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