10≡x x=1, 2, 5, 10
So the set A={1, 2, 5, 10}
<span>A particular computer takes 12 minutes to download a 36-minute TV show. How long will it take the computer to download a 2-hour movie
that would take 40 minutes</span>
Answers:
Q: What is the most they could weigh together?
A: 0.74 kg
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Q: What is the least they could weigh together?
A: 0.62 kg
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Work Shown:
x = weight of first ball
y = weight of second ball
each ball has a weight range of 0.31 kg to 0.37 kg, so,
![0.31 \le y \le 0.37](https://tex.z-dn.net/?f=0.31%20%5Cle%20y%20%5Cle%200.37)
add straight down to get
![0.31+0.31 \le x+y \le 0.37+0.37](https://tex.z-dn.net/?f=0.31%2B0.31%20%5Cle%20x%2By%20%5Cle%200.37%2B0.37)
which simplifies to
![0.62 \le x+y \le 0.74](https://tex.z-dn.net/?f=0.62%20%5Cle%20x%2By%20%5Cle%200.74)
the two soccer balls have a weight range of 0.62 to 0.74, inclusive of both endpoints.
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Without using algebra, you basically just add the smallest the two weights could be (0.31) to itself to get 0.31+0.31 = 0.62 which represents the smallest the two weights combined can be. The same happens with the largest weight of 0.37 to get 0.37+0.37 = 0.74 as the max weight of both objects together.