Answer:
n =7
Step-by-step explanation:
(n+1) +1 + (n-1) = value first row
3+ (2n-9) +n = value second row
The value has to be the same
Set the equations equal
(n+1) +1 + (n-1) =3+ (2n-9) +n
Combine like terms
2n+1 = 3n-6
Subtract 2n from each side
2n+1-1 -2n = 3n-6-2n
1 = n-6
Add 6 to each side
1+6 = n-6+6
7 = n
Just do 12 times 4 this should get you 48 and thats the number
Answer:
Jeff's Popcorn 130^3
Step-by-step explanation
(Jeff's 130^3) .
First 20.5*10^2 which is 20.5*100 which equals 2050.
Then find the volume for the other box of popcorn.
30*8^2 which is 1920.
subtract 2050 by 1920 and you get 130.
Answer: She would have 16 bags of trail mix.
Step-by-step explanation: Since one bag of trail mix contains 1/8 of a pound. You need to add how much it will take to make 2 pounds. So you keep adding 1/8 but the denominator stays the same each time you add. So it will look like this: 1/8 + 1/8 = 2/8 and you keep repeating it until you get 8/8 which equals 1 pound. Then you add 1/8 until you get 8/8 again. So 8 + 8 = 16.
Answer:
see below
Step-by-step explanation:
We need to find the diameter of the square
We can find this using the Pythagorean theorem
a^2+b^2 = c^2 where the legs are 7 and 7 and the diameter is c
7^2 +7^2 = c^2
49+49 = c^2
98 = c^2
Taking the square root of each side
sqrt(98) = sqrt(c^2)
9.899494937 = c
Since 9.9 is less than 11 which is the diameter of the circle it will never touch the circle.
Since the longest part of the square is less than the diameter of the circle, the square will fit inside the circle without touching
