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Harrizon [31]
2 years ago
7

Which value is equivalent to​

Mathematics
1 answer:
mezya [45]2 years ago
4 0
7^2 I think is the write answer
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Four members from a 50 person committee are to be randomly selected to serve as chairperson, vicechairperson, secretary, and tre
alexdok [17]

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.

3 0
3 years ago
Alfonso is 8 years older than Ashley. Five years ago Alfonso was three times as old as Ashley. How old is Ashley now?
Pavel [41]

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,

x+3=3(x-5)\\\Rightarrow\ x+3=3x-15\\\Rightarrow\ 3x-x=3+15\\\Rightarrow\ 2x=18\\\Rightarrow\ x=\frac{18}{2}\\\Rightarrow\ x=9

Hence, the present age of Ashley =9 years

8 0
3 years ago
Read 2 more answers
In arithmetic sequence tn find: S10, if t2=5 and t8=15
makkiz [27]

Given:

\bold{t_2=5}\\\\\bold{t_8=15}\\\\

To find:

\bold{T_n=?}\\\\\bold{S_{10}=?}

Solution:

\to \bold{t_2=5}\\\\  \bold{a+d=5} \\\\  \bold{a=5-d} ................(i)\\\\ \to \bold{t_8=15}\\\\ \bold{a+ 7d=15}.................(ii)\\\\

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

\to \bold{5-d+7d=15}\\\\\to \bold{5+6d=15}\\\\\to \bold{6d=15-5}\\\\\to \bold{6d=10}\\\\\to \bold{d=\frac{10}{6}}\\\\\to \bold{d=\frac{5}{3}}\\\\

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

\to \bold{a=5-\frac{5}{3}}\\\\\to \bold{a=\frac{15-5}{3}}\\\\\to \bold{a=\frac{10}{3}}\\\\

Calculating the \bold{t_n :}

\to \bold{t_n=a+(n-1)d}\\\\\to \bold{t_n=\frac{10}{3}+(n-1)\frac{5}{3}}\\\\\to \bold{t_n=\frac{10}{3}+\frac{5}{3}n-\frac{5}{3}}\\\\\to \bold{t_n=\frac{10}{3}-\frac{5}{3} +\frac{5}{3}n}\\\\\to \bold{t_n=\frac{10-5}{3} +\frac{5}{3}n}\\\\\to \bold{t_n=\frac{5}{3} +\frac{5}{3}n}\\\\ \to \bold{t_n=\frac{5}{3}(1+n)}\\\\

Formula:

\bold{S_n = \frac{n}{2}[2a + (n - 1)d ] }\\

Calculating the \bold{S_{10}} :

\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 }

Therefore, the final answer is  " \bold{\frac{5}{3}(1+n)\ and\ 108.33}"

Learn more:

brainly.com/question/11853909

7 0
3 years ago
X + y + 10 = 20 . If y = 2, find the value of x
podryga [215]

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

7 0
2 years ago
What is the answer to 2/5(15m+2)
konstantin123 [22]

Answer:

idk

Step-by-step explanation:

4 0
3 years ago
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