Answer:
Choice 3
Step-by-step explanation:
The reading rate of Sam is 0.75 pages/minute.
i.e 30 pages/40 minutes
The reading rate of Bill is 0.5 pages/minute
The reading rate of Francine is 0.72 pages/minute
The reading rate of Leroy is 0.75 pages/minute which is the same as Sam's.
Answer: 490 grams of the first alloy should be used.
30 grams of the second alloy should be used.
Step-by-step explanation:
Let x represent the weight of the first alloy in grams that should be used.
Let y represent the weight of the second alloy in grams that should be used.
A chemist has two alloys, one of which is 15% gold and 20% lead. This means that the amount of gold and lead in the first alloy is
0.15x and 0.2x
The second alloy contains 30% gold and 50% lead. This means that the amount of gold and lead in the second alloy is
0.3y and 0.5y
If the alloy to be made contains 82.5 g of gold, it means that
0.15x + 0.3y = 82.5 - - - - - - - - - - - -1
The second alloy would also contain 113 g of lead. This means that
0.2x + 0.5y = 113 - - - - - - - - - - - - -2
Multiplying equation 1 by 0.2 and equation 2 by 0.15, it becomes
0.03x + 0.06y = 16.5
0.03x + 0.075y = 16.95
Subtracting, it becomes
- 0.015y = - 0.45
y = - 0.45/- 0.015
y = 30
Substituting y = 30 into equation 1, it becomes
0.15x + 0.3 × 30 = 82.5
0.15x + 9 = 82.5
0.15x = 82.5 - 9 = 73.5
x = 73.5/0.15
x = 490
Answer:
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Step-by-step explanation:
Given,







Comparing with A • 
A = 
Hope this helps...
Good luck on your assignment...
Answer:
12.54 square miles
Step-by-step explanation:
Area of Parallelogram = Base x Height
In this case, Base = 3.3 mi and Height = 3.8 mi
Hence,
Area = 3.3 x 3.8 = 12.54 square miles
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