You know that a rope is no more than 100 feet long. You need to cut the rope into three pieces the second piece is to be three times as long as the first piece, and the third piece must be 18 feet long. What is the maximum length of the second piece?

hi

Step-by-step explanation:

The rope is originally 100 ft. long. The first piece is 32 ft., leaving 100–32, or 68 ft.

Let n be the second piece, and n-30 be the third piece. Then:

n+n-30=68

2n=98

n=49

n-30=19

The second piece is 49 ft. long; the third piece is 19 ft. long ……..

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is