All categories

3 years ago

8. The Last Supper

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

7 0

The number of possible seats is an illustration of permutation

There are 1728 possible sitting arrangements

<h3>How to determine the number of seats</h3>

From the question, we have the following highlights:

Chris can only take 1 seat (i.e. the central seat)
Jo can take 2 seats (i.e. the seats adjacent the central seat)
Alex, Barb and Dave can take 3! number of seats
Eddie, Fred, and Gareth can take 3! number of seats on the right of Chris.
The remaining 4 adults do not have preference, then they can seat in 4! ways

So, the number of sitting arrangement is:

$n = 1 * 2 * 3! * 3! * 4!$

Evaluate the product

$n = 1728$

Hence, there are 1728 possible sitting arrangements

You might be interested in

Billie Sue's BBQ had their grand opening this year. The first month they did not turn a profit. However, each month thereafter,

Ainat [17]

Answer:

Step-by-step explanation:

Since each year the profit is 1500, its a linear equation with slope 1500.

For 1 month of profit, the profit is 1500*1=1500

For 2 month of profit, the profit is 1500*2=3000

It goes on like this, so the pattern in "multiplying 1500 by x (<em>where x represents the number of months they have profited)"</em>

The first equation, option A, is correct,

y = 1500x

5 0

3 years ago

Read 2 more answers

7) Norachai spent $13 on a magazine and some erasers. If the

Marta_Voda [28]

Answer:

Step-by-step explanation:

Magazine $4

13-4=9

9/3=3

5 0

3 years ago

Read 2 more answers

Write the function , √(x^3+6)/√(x^3-9) as a composition of three or more non-identity functions.

tamaranim1 [39]

Answer:

$h \circ m \circ n \text{ where } h(x)=\sqrt{x} \text{ and } m(x)=1+\frac{15}{n} \text{ and } n(x)=x^3-9$

Step-by-step explanation:

Ok so I see a square root is on the whole thing.

I'm going to let the very outside function by $h(x)=sqrt(x)$ .

Now I'm can't just let the inside function by one function $g(x)=\frac{x^3+6}{x^3-9}$ because we need three functions.

So I'm going to play with $g(x)=\frac{x^3+6}{x^3-9}$ a little to simplify it.

You could do long division. I'm just going to rewrite the top as

$x^3+6=x^3-9+15$ .

$g(x)=\frac{x^3-9+15}{x^3-9}=1+\frac{15}{x^3-9}$ .

So I'm going to let the next inside function after h be $m(x)=1 + \frac{15}{x}$ .

Now my last function will be $n(x)=x^3-9$ .

So my order is h(m(n(x))).

Let's check it:

$h(m(x^3-9))$

$h(1+\frac{15}{x^3-9})$

$h(\frac{x^3-9+15}{x^3-9})$

$h(\frac{x^3+6}{x^3-9})$

$\sqrt{ \frac{x^3+6}{x^3-9}}$

3 0

3 years ago

0.07 as a mixed number

8_murik_8 [283]

It cant be converted into a mixed number because it has no whole.

5 0

4 years ago

In what time will N400 amount to N512 if the simple interest is calculated at 14% per annum?

patriot [66]

Answer:

64/7 years

9.143 years

Step-by-step explanation:

$Simple Interest = \\ \frac{Principal \times Rate \times Time}{100}$

$Time = \frac{simple \: interest \times 100}{Principal \times Rate}$

$Principal = 400 \\ Rate = 14 \\ Time = \\ simple \: interest = 512$

Input the values

$Time = \frac{512 \times 100}{400 \times 14} \\ Time = \frac{51200}{5600} \\$

$Time = \frac{64}{7} \\ Time = 9.142 \: years \\ best \: answer \: = \frac{64}{7} years$

8 0

3 years ago