Answer:
a3 + b3 = -7
Step-by-step explanation:
When the sequence is A.P
a1 =4 and a2= -2
Common difference,d = a2 - a1
= -2 - 4
d = -6
a3 = third term
a3 = a1 + 2d
= 4 + 2(-6)
= 4 - 12
= -8
a3 = -8
When the sequence is geometric
a1 =4 and a2= -2
Common ratio, r = a2/a1
= -2/4
r = -1/2
Or
r = -0.5
b3 = third term
b3 = ar²
= 4 * (-1/2)²
= 4 * 1/4
= 4/4
= 1
b3 = 1
a3 + b3 = -8 + 1
= -7
a3 + b3 = -7
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
----------------------------------------------------------------------------------------------
The rates are:
A = $100
B = $80
C = $70
--------------------------------
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:
The Number is 3
Step-by-step explanation:
7-3=4
12=4x
12/4=3
B) 50%
4/8 (the fraction of the slices eaten)
Simplify
1/2 or 50%
Hope this helps!
Answer:
The answer is 9 and 11/12
Step-by-step explanation:
4 and 1/2 + 3 and 2/3 + 3/4
=9 and 11/12
