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kati45 [8]
3 years ago
7

What’s the answer to this please, thanks!

Mathematics
1 answer:
Bumek [7]3 years ago
3 0

Answer:

8 < x < 16

Step-by-step explanation:

Consider an angle slightly less than 180 between the 4 and 12 ft sides.  The measure between the 2 end points is slightly less than the total of the two sides.  So the greatest length is 16.

Consider an angle slightly more than 0 between the 4 and 12 ft sides.  The measure between the 2 end points is slightly more than the difference between the two sides.  So the lowest length is 8.

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Bruce has a bottle that contains 60% lemon juice and the rest water. The bottle has 1 liter of water.
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<span>part A:
Let 
t =  total the liquid in the bottle including lemon juice and water
so t =  lemon juice + water ( w = water, l = lemon juice) so t = l + w
but the bottle has 1 liter of water. and <span>60% lemon juice
</span>contains 60% lemon juice = 0.6, so l = 0.6t and w(water ) = 1 liter
t = l + w
substitute l = 0.6t and w = 1 into t = l + w
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t = 0.6t + 1

part B:
from part A, you have equation t = 0.6t +1
solve for t
 t = 0.6t +1
subtract 0.6t on both sides
t - 0.6t = 0.6t - 0.6t + 1
simplify
0.4t = 1
divide both sides by 0.4
0.4t/0.4 = 1/ 0.4
simplify
t = 2.5

2.5 liters is total including lemon juice and water
2.5 - 1(1 liter of water) = 1.5 <span>1 liter of lemon juice</span></span>
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