Answer:
3/5*8/9=8/15; A
Explanation:
First, you want to multiply both of the numerators together. 3*8=24.
Then, you want to multiply both of the denominators together. 5*9=45.
If you put the numerator and the denominator together, it comes out to be 24/45.
Lastly, you want to simplify 24/45. Divide those both by 3, and you get 8/15.
Hope that helps!
Answer:
21
Step-by-step explanation:
21 боладыма! дұрыспа
Answer:
quadratic
Step-by-step explanation:
Answer:
x - 3 = 21 - 2
Step-by-step explanation:
x - 3 = 21 - 2
Add 3 to each side.
x = 21 + 1
x = 22
Rate as Brainliest plz
Answer:
a)
i.the lower limit of the sum
: n=1
ii.the upper limit of the sum
: n=18
iii.the explicit formula of the sum
: ![a_n=7n-4](https://tex.z-dn.net/?f=a_n%3D7n-4)
b) 1,125 beads
Step-by-step explanation:
a) The number of beads per row of Dante's necklace is given by the series:
3 + 10 + 17 + 24 + ...
The first term of this series is
.
There is a constant difference of
.
To write this series in summation notation, we need to determine the explicit formula which is given by:
![a_n=a_1+d(n-1)](https://tex.z-dn.net/?f=a_n%3Da_1%2Bd%28n-1%29)
We plug in the values to get:
![a_n=3+7(n-1)](https://tex.z-dn.net/?f=a_n%3D3%2B7%28n-1%29)
![\implies a_n=3+7n-7](https://tex.z-dn.net/?f=%5Cimplies%20a_n%3D3%2B7n-7)
![\implies a_n=7n-4](https://tex.z-dn.net/?f=%5Cimplies%20a_n%3D7n-4)
The summation notation is given by:
![\sum^{18}_{n=1}(7n-4)](https://tex.z-dn.net/?f=%5Csum%5E%7B18%7D_%7Bn%3D1%7D%287n-4%29)
b) The total number of beads in the necklace is given by the sum of the first 18 terms of the sequence.
This is given by ![S_n=\frac{n}{2}(2a_1+d(n-1))](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Bn%7D%7B2%7D%282a_1%2Bd%28n-1%29%29)
We substitute the values to obtain:
![S_{18}=\frac{18}{2}(2\cdot3+7(18-1))](https://tex.z-dn.net/?f=S_%7B18%7D%3D%5Cfrac%7B18%7D%7B2%7D%282%5Ccdot3%2B7%2818-1%29%29)
![S_{18}=9(6+119)](https://tex.z-dn.net/?f=S_%7B18%7D%3D9%286%2B119%29)
![S_{18}=9(125)](https://tex.z-dn.net/?f=S_%7B18%7D%3D9%28125%29)
![S_{18}=1125](https://tex.z-dn.net/?f=S_%7B18%7D%3D1125)
Therefore the total number of beads is 1125