Answer:
a = 6/5
b = 0.111 . . .
c = 166 2/3%
Step-by-step explanation:
just did it
The second step is wrong. What should've been done is to find greatest common factor (gcf) of 1/6 and -2. This is because you cannont add together a number with a variable to a number without a variable. So get the variable by itself by subtracting 1/6 from both sides.
1/5x + 1/6 = -2
___— 1/6_— 1/6
____________
Turn -2 into a fraction and find the gcf of -2 and 6:
1/5x + 1/6 = -2
___— 1/6_— 1/6
____________
1/5x = -2/1 — 1/6 ——> 1/5x = -12/6 — 1/6
1/5x = -13/6
Then divide each side by 1/5 to get the variable by itself; remeber: when dividing a fraction by a fraction, you multiply by the reciprocal.
5/1 • 1/5x = -13/6 • 5/1
x = 65/6
Then, simplify
65/6} 10.83 or 10 83/100
Convert that to a fraction, then convert to a decimal by dividing the numerator into the denominator then you get 0.148
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Answer:
n+2
Step-by-step explanation:
This is a Typical Question on Arithmetic Progression with initial term as 2n+1
The next number in this particular series will be 2n+1+2 which is 2n+3 and so on. Thus a common difference of 2 exists.
The nth term of an Arithmetic Progression AP, bn is represented below where b1 is the first term
bn=b1 +(n-1)d where d is the common difference
For this particular series, the 4th term b4 is
b4= 2n+1+(4-1)2 0r b4 =2n+1+6=2n+7
sum of series is represented by equation: n(b1 +b4)/2 where b1 and b4 are 1st and 4th term respectively
Thus Sum required =4(2n+1+2n+7)/2=4(4n+8)/2=8n+16 0r n+2