Answer:
So, exists 5527200 different leadership structures.
Step-by-step explanation:
We know that four members from a 50 person committee are to be randomly selected to serve as chairperson, vicechairperson, secretary, and treasurer. The first perosn to be selected is the chairperson, the second to be selected as vice chairperson, the third is secretary, and the fourth is treasurer.
Since the order of the people is important to us, we have the following:
50·49·48·47=5527200
So, exists 5527200 different leadership structures.
Answer: 9 years
Step-by-step explanation:
Let the present age of Ashley be x.
Then the present age of Alfonso =x+8
Five years ago,
Ashley's age = x-5
Alfonso's age = x+8-5 = x+3
According to the question,

Hence, the present age of Ashley =9 years
Given:

To find:

Solution:

Putting the equation (i) value into equation (ii):

Putting the value of (d) into equation (i):

Calculating the 

Formula:
![\bold{S_n = \frac{n}{2}[2a + (n - 1)d ] }\\](https://tex.z-dn.net/?f=%5Cbold%7BS_n%20%3D%20%5Cfrac%7Bn%7D%7B2%7D%5B2a%20%2B%20%28n%20-%201%29d%20%5D%20%7D%5C%5C)
Calculating the 
![\to \bold{S_{10} = \frac{10}{2}[2\frac{10}{3} + (10- 1)\frac{5}{3} ] }\\\\\to \bold{S_{10} = 5[\frac{20}{3} + (9)\frac{5}{3} ] }\\\\\to \bold{S_{10} = 5[\frac{20}{3} + 9 \times \frac{5}{3} ] }\\\\\to \bold{S_{10} = 5[\frac{20}{3} + 3\times 5 ] }\\\\\to \bold{S_{10} = 5[\frac{20}{3} + 15 ] }\\\\\to \bold{S_{10} = 5[\frac{20+ 45}{3} ] }\\\\\to \bold{S_{10} = 5[\frac{65}{3} ] }\\\\\to \bold{S_{10} = 5 \times \frac{65}{3} }\\\\\to \bold{S_{10} = \frac{325}{3} }\\\\\to \bold{S_{10} =108.33 }](https://tex.z-dn.net/?f=%5Cto%20%5Cbold%7BS_%7B10%7D%20%3D%20%5Cfrac%7B10%7D%7B2%7D%5B2%5Cfrac%7B10%7D%7B3%7D%20%2B%20%2810-%201%29%5Cfrac%7B5%7D%7B3%7D%20%5D%20%7D%5C%5C%5C%5C%5Cto%20%5Cbold%7BS_%7B10%7D%20%3D%205%5B%5Cfrac%7B20%7D%7B3%7D%20%2B%20%289%29%5Cfrac%7B5%7D%7B3%7D%20%5D%20%7D%5C%5C%5C%5C%5Cto%20%5Cbold%7BS_%7B10%7D%20%3D%205%5B%5Cfrac%7B20%7D%7B3%7D%20%2B%209%20%5Ctimes%20%5Cfrac%7B5%7D%7B3%7D%20%5D%20%7D%5C%5C%5C%5C%5Cto%20%5Cbold%7BS_%7B10%7D%20%3D%205%5B%5Cfrac%7B20%7D%7B3%7D%20%2B%203%5Ctimes%205%20%5D%20%7D%5C%5C%5C%5C%5Cto%20%5Cbold%7BS_%7B10%7D%20%3D%205%5B%5Cfrac%7B20%7D%7B3%7D%20%2B%2015%20%5D%20%7D%5C%5C%5C%5C%5Cto%20%5Cbold%7BS_%7B10%7D%20%3D%205%5B%5Cfrac%7B20%2B%2045%7D%7B3%7D%20%5D%20%7D%5C%5C%5C%5C%5Cto%20%5Cbold%7BS_%7B10%7D%20%3D%205%5B%5Cfrac%7B65%7D%7B3%7D%20%5D%20%7D%5C%5C%5C%5C%5Cto%20%5Cbold%7BS_%7B10%7D%20%3D%205%20%5Ctimes%20%5Cfrac%7B65%7D%7B3%7D%20%20%7D%5C%5C%5C%5C%5Cto%20%5Cbold%7BS_%7B10%7D%20%3D%20%20%5Cfrac%7B325%7D%7B3%7D%20%20%7D%5C%5C%5C%5C%5Cto%20%5Cbold%7BS_%7B10%7D%20%3D108.33%20%7D)
Therefore, the final answer is "
"
Learn more:
brainly.com/question/11853909
Answer:
x = 8
Step-by-step explanation:
x + y + 10 = 20
if y = 2,
=> x + 2 + 10 = 20
=> x + 12 = 20
=> x = 20 - 12
=> x = 8
Answer:
idk
Step-by-step explanation: