Answer:
Step-by-step explanation:
She has 36 yards of material.
She needs 1 1/3 + 1/6 for each place setting
1/3 + 1/6 = 1/2
She needs 1 1/2 yards of material for each setting
1 1/2 = 1.5
She has to divide 36 by 1.5. If there is anything left over, it becomes scrap to be used for her next project.
You can use the following formula
- # settings = Total material/setting length
- # settings = 36/1.5 = 24
She can make 24 settings with nothing left over.
Answer:
D) 50, 55, 65
Step-by-step explanation:
it equals to 180
D) equals to 170
Answer:
you are going to say 2(2) ×2
then 4×2=8
1. 8+ x
2. 2 + x/2
3. x - 3 = 9
4. 2 - x
5. 5 + x
6. 4 - x
7. 7 - x
8. x - 5 + 25
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
