1 mile = 5,280 feet
Car + space = 13.5 + 3 = 16.5 feet
5,280 / 16.5 = 320
Answer: 320 cars
<1 and <2 are complementary : given
<1+<2=90 : definition of complementary
<1 congruent <3 : given
<2 congruent <4 : given
<3 congruent <4 : transitive property
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Define x :
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Let the dryer be x.
Dryer = x
Washer = x -53
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Construct Equation :
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The washer and the dryer cost $847
⇒ x + x - 53 = 847
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Solve x :
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x + x - 53 = 847
2x - 53 = 847
2x = 847 + 53
2x = 900
x = 450
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Find cost of dryer and washer :
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Dryer = x = $450
Washer = x = 450 - 53 = 397
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Answer: Dryer = $450
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A because 5/15 is 1/3 and you need to find the median
Mixture problem.
Ratio of 20% : 50% acids
=50-39 : 39-20
=11:19
total volume
=400L
vol. of 20% acid=400*(11/(11+19)=400*(11/30)=146.667 L
vol. of 50% acid=400*(19/(11+19)=253.333 L
Alternatively, use c=volume of 20%, d=vol of 50%
then
0.2c+0.5d=400*0.39
Since c+d=400, we have
0.2c+0.5(400-c)=400*0.39=156
solve for c:
0.3c=44
c=146.667 and d=400-c=253.333 as before.