what would it be if the sum of six consecutive even numbers is 130 what would the 2nd number be in the sequence PLZ HELP
2 answers:
Answer:
Step-by-step explanation:
Let the consecutive even numbers be x,x+2,x+4, x+ 6, x+ 8 and x+10
So, the given condition is:
x+x+2+x+4+x+6+x+8+x+10 = 270
6x + 30 = 270
Subtracting both sides by 30
6x = 270 - 30
6x = 240
Dividing both sides by 6
x = 40
So,
First Number = x = 40
Second Number = x+2 = 40+2 = 42
Third Number = x+4 = 40+4 = 44
Fourth Number = x+6 = 40+6 = 46
Fifth Number = x+8 = 40+8 = 48
Sixth Number = x+10 = 40+10 = 50
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Answer:
The monthly cost for 9 HCF is $38.54
Step-by-step explanation:
<em>The graph is missing; however, the question can still be solved</em>
Given
Slope = 1.55
When monthly cost = $47.84, Amount of water = 15 HCF
Required
Determine the monthly cost for 9 HCF
From the question, we understand that it is a linear function;
Linear functions are of the form
Where y is the function of x and m is the slope
In this case; the function is the monthly water bill
and x is the amount of water
Solving for b
When monthly cost = $47.84, Amount of water = 15 HCF
The function is as follows;
Subtract 23.25 from both sides
Solving for the monthly cost for 9 HCF
Here, we have that
Substitute these values in the linear function;
<em>Hence, the monthly cost for 9 HCF is $38.54</em>