Answer:
The graph is in the attachment below
Step-by-step explanation:
The solution is attached below
Answer:




Step-by-step explanation:
Given




Required
Convert to hours (in fraction)
To do this, we simply divide the time by 60

Divide by 60


Express as mixed numbers

Simplify


Divide by 60

Express as mixed numbers

Simplify


Divide by 60

Express as mixed numbers

Simplify


Divide by 60


We have:

Thus:

Adding

gives:

Factoring gives:

Thus, we have:

or

.
Note that because

, there will be no solutions

of the form

for positive integer

and solution

. So we find the basic values of

giving

.
For

with positive

,

(this can be seen easily from the unit circle. But

, a contradiction. So we examine the case in which

.
In this case,

. So this is the only solution to this equation.
Substituting this back in, we have

, as desired. So this is a valid solution.
Thus,

.
Answer: 4 inches/ 6 = 0.67 inches
each piece of ribbon is 0.67 inches or 2/3 of an inch in length
Step-by-step explanation: