You are wrapping boxes for a fund-raiser. you have 80 large boxes. you need 2 and three-fourths feet of ribbon for each large box. each roll of ribbon has 50 feet of ribbon.

5 rolls of ribbon are needed

Step-by-step explanation:

To find how much ribbon you'll use, multiply 80 by 2 3/4. To multiply them, convert 2 3/4 into an improper fraction 11/4.

Multiply: 80 * 11/4 = 880/4 = 220

This means you need 220 total feet of ribbon. Since each roll has 50 feet, you'll need 5 rolls or 250 feet to wrap every box.

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is