<span>M/9+2/3=7/3
</span><span>M/9 =7/3 - 2/3
M/9 = 5/3
M = 5/3 x 9
M = 15</span>
Then 1 white, then 3 blue then 1 white
Answer:
the number of black tokens in the bag is 2
Step-by-step explanation:
The computation of the number of black tokens in the bag is as followS
Given that
There is 8 green tokens
and, the ratio of green tokens to black tokens is 4:1
So let us assume the black tokens be x
So,
![\frac{8}{x} = \frac{4}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7Bx%7D%20%3D%20%5Cfrac%7B4%7D%7B1%7D)
Now do the cross multiplication
x = 2 tokens
Hence, the number of black tokens in the bag is 2
Well half of 500 is 250 so one person gets 300$ and the other gets 250$
Answer:
r=3 where r is the common ratio
Step-by-step explanation:
The sum of geometric progression for n terms is given by:
, where
is the
first term of the series and r is the common ratio.
Now, according to the question, there are four terms and they form a geometric progression. So sum of four terms is given as
and
.
Also according to the above formula:
![S_{4}=a_{1} ( 1-r^{4})/ 1-r](https://tex.z-dn.net/?f=S_%7B4%7D%3Da_%7B1%7D%20%28%201-r%5E%7B4%7D%29%2F%201-r)
Using the values as given in the question into the above equation we get:
![1+r =1/10 ( 1-r^{4})/ 1-r](https://tex.z-dn.net/?f=1%2Br%20%3D1%2F10%20%28%201-r%5E%7B4%7D%29%2F%201-r)
![(1+r)(1-r)=1/10 ( 1-r^{4})](https://tex.z-dn.net/?f=%281%2Br%29%281-r%29%3D1%2F10%20%28%201-r%5E%7B4%7D%29)
[ Using formula
]
![(1-r^{2})=1/10 ( 1-r^{2})(1+r^{2})](https://tex.z-dn.net/?f=%281-r%5E%7B2%7D%29%3D1%2F10%20%28%201-r%5E%7B2%7D%29%281%2Br%5E%7B2%7D%29)
![10=(1+r^{2})](https://tex.z-dn.net/?f=10%3D%281%2Br%5E%7B2%7D%29)
![10-1=(r^{2})](https://tex.z-dn.net/?f=10-1%3D%28r%5E%7B2%7D%29)
![\sqrt{9}=(r)](https://tex.z-dn.net/?f=%5Csqrt%7B9%7D%3D%28r%29)
which is the required answer.