5n is the mean of three numbers 391, n and n-1, find n

n = 30

Step-by-step explanation:

5n = Mean of three numbers

391 = 1st number

n = 2nd number

n - 1 = 3rd number

Therefore, to solve for x, we can write this equation:

(391 + n + n - 1)/3 = 5n

391 + 2n - 1 = 15n (Lowest Common Denominator is 3)

2n - 15n = -390 (Like terms)

-13n = -390

n = -390/-13

n = 30

Proof of n= 30 is correct:

(391 + n + n - 1)/3 = 5n

(391 + 30 + 29)/3 = 5 * 30

450/3 = 150

150 = 150

We proved n = 30 is correct

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step-by-step explanation:

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d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi