Answer:
14.13
Step-by-step explanation:
use the radius, 3 squared
so 3 x 3 = 9
9 x 3.14 = 28.26
28.26 / 2 ( because it is a semicircle) = 14.13
If the sum of an integer and 6 times the next consecutive integer is 61, the the value of lesser integer is 7
Consider the first odd integer as x
Then the next consecutive odd integer = x+2
The 6 times the second integer= 6(x+2)
= 6x+12
Sum of an integer and 6 times the next consecutive odd integer is 61
Then the equation will be
x + 6x+12 = 61
Add the like terms in the equation
(1+6)x + 12 = 61
7x +12 = 61
Move 12 to the right hand side of the equation
7x = 61-12
7x = 49
x = 49/7
x = 7
The second number is
x+2 = 7+2
= 9
Hence, if the sum of an integer and 6 times the next consecutive integer is 61, the the value of lesser integer is 7
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Answer:
137 votes
Step-by-step explanation:
considering an election with 681 votes and 5 candidates up for the election
dividing the votes among'st 5 candidates
= 681 / 5 = 136.2 hence the least number of first-place votes needed by a candidate using the plurality method would be = 137 votes
136.2 + 136.2 + 136.2 + 136.2 + 136.2 = 681 ( dividing the votes equally )
136 + 136 + 136 + 136+136 = 680
hence the remaining vote = 681 - 680 = 1
least first-place vote = 136 + 1 = 137 votes
Answer:
149.5, 150.5 , 151.5, 152.5
Step-by-step explanation:
n+(n+1)+(n+2)+(n+3)= 604
Combine Like Terms
4n + 6 = 604
Subtract 6
4n = 598
Divide by 4
n=149.5
Check Your Work:
149.5+150.5+151.5+152.5 = 604
Answer:
x + y = 0
Step-by-step explanation:
Slope 1
b = -2 - (-1)(2)
b = -2 +2
b = 0
y = -x
