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
Answer:
74 and 110
Step-by-step explanation:
lay out the numbers and the difference between the numbers:
20,24,33,49
+4 +9 +16
and notice the different between the amount added between the numbers
4,9,16
+5 +7
It seems the amount added to the amount added increases by 2 each time
the next two numbers in the sequence above is 9 and 11.
From that we can try to figure out what will be added to the original number by adding 9 and 11 to the difference list.
4, 9, 16, 25(added 9), 36(added 11)
and we can test those values
20,24,33,49,74(added 25),110(added 36)
G, which is 2 the line directly hits the center of (0,2)
Answer:
the equation | 5x + 10| = -7 has no solution for x ∈ R.
Step-by-step explanation:
Given the absolute value equation
| 5x + 10| = -7
- We know that absolute value is always positive.
Reason:
The reason is that the absolute value is the distance from the number 0. Hence, it can not be less than or equal to a negative number.
Conclusion:
Therefore, we conclude that the absolute value of any number would be either 0 or positive as it can not less than or equal to a negative number.
Therefore, the equation | 5x + 10| = -7 has NO SOLUTION for x ∈ R.
How many tiles are put vertically? Just multiply the number by three.
