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mojhsa [17]
3 years ago
15

The general manager of a fast food restaurant chain must select 6 restaurants from 11 for a promotional program. How many differ

ent possible ways can this selection be done?
Mathematics
2 answers:
zmey [24]3 years ago
5 0

Answer:

462

Step-by-step explanation:

There 6 slots available to fill in the restaurants options

- For the 1st slot, there are 11 ways to choose

- For the 2nd slot, there are 10 ways to choose

- For the 3rd slot, there are 9

- For the 4th slot, there are 8

- For the 5th slot, there are 7

- For the last 6th, there are 6 ways

So in total there would be 11*10*9*8*7*6 = 332640 ways to choose. But since the order of these 6 slots don't matter, there are actually 6! = 720 ways to order these 6 slots. So the actual number of possible ways is

332640 / 720 = 462

Arisa [49]3 years ago
4 0

Answer:

Step-by-step explanation:

This question will be solved using the combination formula which is nCr because the order is unimportant and we need the selection.

11C6

11!/(11-6)!*6!

= 462

Therefore the manager can select the restaurant in 462 ways.

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Luda [366]
Part 1)
We have two lines:  y = 2-x   and   y = 8x+4
Given two simultaneous equations that are both required to be true.
the solution is the points where the lines cross
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2-x = 8x+4
because
where that is true is where the two lines will cross and that is the common point that satisfies both equations.

Part 2) Make tables to find the solution to 2−x = 8x+4. take the integer values of x between −3 and 3

see the attached table
The table shows that none of the integers from [-3,3] work because in no case does
<span>2-x = 8x+4
</span>
To find the solution we need to rearrange the equation to the form x=n
2-x =8x+4
8x+x=2-4
9x=-2
x=-2/9

 The only point that satisfies both equations is
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Find y:
   y = 2-x  = 2 - (-2/9) = 2 + 2/9 = 20/9
Verify we get the same in the other equation
y = 8x+4   =  8(-2/9) + 4 = 20/9 
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Part 3) how can you solve the equation 2−x = 8x+4 graphically?
<span>The point on the graph where the lines cross is the solution to the system of equations
</span>
using a graph tool
see the attached figure

the solution is the point (-0.22,2.22)

4 0
3 years ago
Julian study a dog walking business over his summer break. He charges $10 for every 1/3 hour he walks a dog if he increases his
Genrish500 [490]

Answer:

The amount of increase per \frac{1}{3}  hour by $1.

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Julian charges $10 for every \frac{1}{3} hour he walks a dog.

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Now we have to find 10% of $10

Amount increased = \frac{10}{100} .10 = 1

So the amount increased by $1.

The amount of increase per \frac{1}{3}  hour by $1.

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2 years ago
Find the equation of a parabola with a vertical axis and its vertex at the origin and passing through the point (-2, 3)
vredina [299]

a vertical axis, I assume it means a vertical axis of symmetry, thus it'd be a vertical parabola, like the one in the picture below.

\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} y=a(x- h)^2+ k\qquad \qquad \leftarrow vertical\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{}{ h},\stackrel{}{ k}) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=0\\ k=0 \end{cases}\implies y=a(x-0)^2+0 \\\\\\ \textit{we also know that } \begin{cases} x=-2\\ y=3 \end{cases}\implies 3=a(-2-0)^2+0\implies 3=4a \\\\\\ \cfrac{3}{4}=a~\hspace{10em}y=\cfrac{3}{4}(x-0)^2+0\implies \boxed{y=\cfrac{3}{4}x^2}

8 0
3 years ago
What is the volume of the prism? 2inches, 2 1/4 and 4 inches
elixir [45]

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

18in³

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

Assuming that the figure is a rectangular prism:

⸻⸻⸻⸻

\boxed{\text{Volume of a rectangular prism is:}}\\\\V = l * w * h\\-----------\\V = 2 * 2.25 * 4\\\\\boxed{V = 18}

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.    

6 0
2 years ago
Which is the value of x is in the domain of f(x)=x-8
mrs_skeptik [129]

Answer:

8

Step-by-step explanation:

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Hint: | Isolate terms with x to the left hand side.

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x + (8 - 8) = 8

Hint: | Look for the difference of two identical terms.

8 - 8 = 0:

Answer: x = 8

8 0
3 years ago
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