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3 years ago

What is .42857142857 as a fraction?

Mathematics

1 answer:

DaniilM [7]3 years ago

7 0

That would be 42857142857/1

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A committee must be formed with 5 teachers and 4 students. If there are 6 teachers to choose from, and 15 students, how many dif

ZanzabumX [31]

Answer:

8190 ways

Step-by-step explanation:

Given

$Teachers = 6$

$Students = 15$

Selection

$Students = 4$

$Teachers = 5$

Required

Number of ways of selection

4 students can be selected from 15 students in:

$Students= ^{15}C_4$

Similarly.

5 teachers can be selected from 6 teachers in:

$Teachers= ^{6}C_5$

So, the required number of selection is:

$Selection = ^{15}C_4 * ^6C_5$

Apply combination formula:

$Selection = \frac{15!}{(15-4)!4!} * \frac{6!}{(6-5)!5!}$

$Selection = \frac{15!}{11!4!} * \frac{6!}{1!5!}$

$Selection = \frac{15*14*13*12*11!}{11!*4*3*2*1} * \frac{6*5!}{1*5!}$

$Selection = \frac{15*14*13*12}{4*3*2*1} * \frac{6}{1}$

$Selection = \frac{32760}{24} * 6$

$Selection = 1365 * 6$

$Selection = 8190$

8 0

3 years ago

Sarah has to pay a one-time $300 deposit for her apartment. Each month she pays $700 for rent. How much would Sarah pay for “n”

Alex73 [517]

Answer:

700n + 300

Step-by-step explanation:

We know that no matter what happens, Sarah has to pay a One-Time $300 for her deposit.

Now, we know that for every month she stays in the apartment, it will cost her $700.

So, we can come up with a formula to find out how much she would pay:

700n + 300

Hope this helps!

4 0

3 years ago

Find the area of the kite

Elis [28]

$d_1=9.2m+9.2m=18.4m\\d_2=6.9m+13.8m=20.7m\\\\Area\ of\ the\ kite:A=\frac{d_1\times d_2}{2}\\\\A=\frac{18.4\times20.7}{2}=9.2\times20.7=190.44\ (m^2)$

6 0

3 years ago

Read 2 more answers

Marta is solving the equation S = 2πrh + 2πr2 for h. Which should be the result?

IceJOKER [234]

Answer:

Here the answer LOL

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

List down all the values of k<br>if; - 4≤ k ≤ 1

vekshin1

Answer:

All the values of k are -4, -3, -2, -1, 0 , 1

Step-by-step explanation:

Given;

- 4≤ k ≤ 1

The range of value of k is between -4 and 1.

These values are listed as follows;

k = -4, -3, -2, -1, 0 , 1

Therefore, all the values of k are -4, -3, -2, -1, 0 , 1

6 0

2 years ago