Answer:
4. Multiply both sides by -2 => x - 7 = -36, Add 7 to both sides -> x = -29
5. Add 12 to both sides => 28 = 1/4x, then multiply both sides by 4 => 112
x = 112
7. Multiply both sides by 3 => 5x - 2 = 63, add 2 to both sides => 5x = 65,
Divide both sides by 5 -> x = 13
10. Multiply both sides by 6 => 132 = 3x - 6, Add 6 to both sides => 138 = 3x,
Divide both sides by 3 => x = 46
Step-by-step explanation:
4)
pine tree is most numerous on tree farm which is 40%
5)
if 480 trees total,
pine trees = 480 x 0.40 = 192 trees
6)
if 480 trees total,
spruce trees = 480 x 0.30 = 144 trees
(p.s. also firm trees = 144 (same as spruce trees)
The answer would be 1.2675 * (10)^37
Answer:
20/3 ft or 6 2/3 ft
Step-by-step explanation:
A = 56 2/3 sq ft
W = 8 1/2 ft
L = ?
A = LW
L = A/W


Change the mixed numbers into fractions.









Answer: 20/3 ft or 6 2/3 ft
The sum of the series
is 44.
Step-by-step explanation:
The given series is 
To find the sum of the series, we need to substitute the values for k in the series.
![\sum_{k=1}^{4}\left(2 k^{2}-4\right)=\left[2(1)^{2}-4\right]+\left[2(2)^{2}-4\right]+\left[2(3)^{2}-4\right]+\left[2(4)^{2}-4\right]](https://tex.z-dn.net/?f=%5Csum_%7Bk%3D1%7D%5E%7B4%7D%5Cleft%282%20k%5E%7B2%7D-4%5Cright%29%3D%5Cleft%5B2%281%29%5E%7B2%7D-4%5Cright%5D%2B%5Cleft%5B2%282%29%5E%7B2%7D-4%5Cright%5D%2B%5Cleft%5B2%283%29%5E%7B2%7D-4%5Cright%5D%2B%5Cleft%5B2%284%29%5E%7B2%7D-4%5Cright%5D)
Now, simplifying the square terms, we get,
![[2(1)-4]+[2(4)-4]+[2(9)-4]+[2(16)-4]](https://tex.z-dn.net/?f=%5B2%281%29-4%5D%2B%5B2%284%29-4%5D%2B%5B2%289%29-4%5D%2B%5B2%2816%29-4%5D)
Multiplying the terms,
![[2-4]+[8-4]+[18-4]+[32-4]](https://tex.z-dn.net/?f=%5B2-4%5D%2B%5B8-4%5D%2B%5B18-4%5D%2B%5B32-4%5D)
Subtracting the values within the bracket term, we get,

Now, adding all the terms, we get the sum of the series,

Thus, the sum of the series is 