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nevsk [136]
3 years ago
13

A seamstress needs to cut 15-inch pieces of ribbon from a roll of ribbon that is 9 feet in length. What is the greatest number o

f 15-inch pieces the seamstress can cut from 5 of these rolls of ribbon?
Mathematics
1 answer:
Eduardwww [97]3 years ago
7 0
Before attempting to solve any problem, make sure that the units are consistent. There are units of feet and inches. To be consistent,let's convert ft to in knowing that there are 12 inches in 1 ft.

9 ft*12 in/1 ft = 108 inches

Now, it also mentions that there are 5 of these. So, the total length would be:
Total Length = 108*5 = 540 inches

Finally, divide the total length to 15 inches.

Number of portions = 540/15 = <em>36 pieces of 15-inch ribbons</em>
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Answer:

Step-by-step explanation:

Given that,

y' = 17y ( 1-y^7)

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Then show that it is the only stable equilibrium point so that as y→1, t→∞ with any initial value.

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If, y(0) > 1 then, y' < 0 by inspecting the first equation, so the graph is has decreasing solution.

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So no matter the initial condition, graph of the solution will be asymptotic to the horizontal line above.

This make the limit be 1.

This shows that x = 1 is a stable equilibrium.

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