Answer:
15
Step-by-step explanation:
195/13=15
the word form of 485,830 is Four hundred eighty-five thousand eighty hundred thirty
4x + 7y = 1 ⇒ 12x + 21y = 3
3x + 10y = 15 ⇒ <u>12x + 40y = 60</u>
<u>-19y</u> = <u>-57</u>
-19 -19
y = 3
4x + 7(3) = 1
4x + 21 = 1
<u> - 21 - 21</u>
<u>4x</u> = <u>-20</u>
4 4
x = -5
(x, y) = (-5, 3)
<span>The radius of the circle is __17___ units.
(Enter a whole number, not decimals)
The point, (-15, _-16_ ) lies on it's circle. </span>
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
