A machine produces 240 bolts in 25 minutes. At the same rate how many bolts would be produced in 45 minutes
Set of equations that can be used to calculate rate for each plumber:
2A+8B+8C = 1,400 --- (1)
4A+7B+10C = 1,660 --- (2)
3A+9B+9C = 1,660 --- (3)
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2*(1) - (2)
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4A+16B+16C = 2,800
4A+7B+10C = 1,660 -
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9B+6C = 1,140 --- (4)
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3(2) -4(3)
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12A+21B+30C = 4,980
12A+36B+36C = 6,600 -
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-15B-6C = -1,620 --- (5)
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(4) + (5)
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9B+6C = 1140
-15B-6C = -1620 +
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-6B = -480 => 6B = 480 => B = 480/6 = 80
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Using (4), 9(80)+6C = 1140
720+6C = 1140 => 6C = 1140-720 = 420 => C = 420/6 = 70
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Using (1), 2A+8(80)+8(70) = 1400
2A+640+560 =1400 => 2A = 1400-640-560 = 200 => A = 200/2 = 100
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The rates are:
A = $100
B = $80
C = $70
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On Thursday, number of calls: A = 4 hrs, B = 6 hrs, C = 3 hrs
Money earned = 4*100+6*80+3*70 = $1,090
<span>64π</span><span> is correct, since the </span>area<span> of the white </span>circle<span> is 36</span>π, and 100π<span> - 36</span>π<span> = 64</span>π<span>.</span>
Answer:
Step-by-step explanation:
The easiest way to do this is to use the distributive property.
Put the brackets around the terms on the right.
b = (f^2 * A + 2HA)
A is a common factor on the right.
b = A * (f^2 + 2H)
Now divide by f^2 + 2H
b/(f^2 + 2H) = A
Bonus answer is 4y cube 2 - 56y+52
