Answer:
a: 162
b: 142
Step-by-step explanation:
a: december 1=2
a: december 2=6
a: december 3 = 6 x 3 = 18
a: december 4 = 18 x 3 =54
a: december 5 = 54 x 3 =162
~ triples the number of newspapers means "x3" ~
so on the last day, 162 newspapers
B: sum up all the newspapers:
2 + 6 + 18 + 54 + 162
= 8 + 18 + 54 + 162
= 26 + 54 + 162
= 80 + 162
= 242 all in total newspapers
Answer:
a. 5i + 13j
b. 8i
c. 10i + 6j
Step-by-step explanation:
a. 2i + 6j + 3i + 7j = 5i + 13j
b. 3i + 7j + 5i - 7j = 8i
c. 2i + 6j + 3i + 7j + 5i - 7j = 10i + 6j
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
Firstly, we can convert all of the fractions into percentages. To do this, we need to make the denominator of the fraction 100, and whatever we do to the denominator we must also do to the numerator.
5 x 20 = 100
1 x 20 = 20.
So Carl recieves 20/100 or 20% of the votes.
4 x 25 = 100
1 x 15 = 25
So Conroy receives 25/100 or 25% of the votes.
If we add these together and Gilda's 5%, we get 50%. Since there are 100% votes overall, we need to do 100 - 50 = 50.
Kyla receives 50% of the votes.