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otez555 [7]
3 years ago
13

If eight persons are having dinner together, in how many different ways can three order chicken, four order steak, and one order

lobster
Mathematics
1 answer:
Readme [11.4K]3 years ago
8 0

Answer:

Total number of ways= 144 ways

Step-by-step explanation:

Number of ways 3 can order chicken

= 3!

= 3*2*1

= 6

Number of ways 4 can order steak

= 4!

= 4*3*2*1

= 24

Number of ways 1 can order lobster

= 1!

= 1

Total number of ways= 24*6*1

Total number of ways= 144 ways

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slava [35]

Answer:

-8

Step-by-step explanation:

p(x) = - 2x - 3, x ≤ 0    You would use this equation for finding p(0), since 0 is equal to 0.

p(x) = - 2x - 3, x ≤ 0  ← You can ignore the x≤0 part.

p(0) = - 2(0) - 3              Input the value 0 as x.

p(0) = 0 - 3                    Simplify

p(0) = -3    

Next,

p(x) = -x² - 4, x > 0        You would use this equation for finding p(1), since 1 is greater than 0.    

p(x) = -x² - 4, x > 0    ←  You can ignore the x>0 part.  

p(1) = -(1)² - 4             Input the value 1 as x. 1² is equal to 1 times negative is -1.

p(1) = -1 - 4                 Simplify

p(1) = -5

Then,

p(x) = - 2x - 3, x ≤ 0    You would use this equation for finding p(-2), since -2 is less than 0.

p(x) = - 2x - 3, x ≤ 0  ← You can ignore the x ≤ 0 part.

p(-2) = - 2(-2) - 3          Input the value -2 as x. A negative times a negative is

p(-2) = 4 - 3                  a positive.

p(-2) = 1                        Simplify

Finally, you have to fine the value of \frac{p(0)+p(1)}{p(-2)}

\frac{p(0)+p(1)}{p(-2)}          

\frac{(-3) + (-5)}{(1)}            Input the values of p(0), p(1), and p(-2).

\frac{-8}{1}                      Simplify

-8

The answer is -8.

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A square has a perimeter of 36x - 12. Which expression represents one side of the<br> square?
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Answer:

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Step-by-step explanation:

Hello!

A square has 4 sides.

We can factor out 4 from the expression to find the value of one side.

Factor:

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Answer:

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