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Serggg [28]
3 years ago
6

A hotel offers a reward program based on the number of night stayed. The function f(x) represents the number of free nights earn

ed as a function of x , the number of night stayed. Which describes the meaning of f(x)?
Mathematics
1 answer:
iris [78.8K]3 years ago
7 0

Answer:

a. A customer earns 1 free night per 10 nights stayed.  

Step-by-step explanation:

The missing function is:

f(x) = x/10  

The missing options are:

<em> a. A customer earns 1 free night per 10 nights stayed.  </em>

<em> b. A customer starts with 1 free night and then earns another free night after every 10 nights stayed. </em>

<em> c.A customer earns x – 10 free nights for every 10 nights stayed.  </em>

<em> d. A customer earns 10 free nights after x number of nights stayed. </em>

The function means that after a customer stayed 10 nights, a free night is earned. That is, replacing x = 10 into the function, we get:

f(10) = 10/10  = 1

which means 10 nights are equivalent to 1 free night.

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yanalaym [24]

Answer: Solve for X      

4x−5y<1

Step-by-step explanation:

step 1 add 5y to each side

4x−5y+5y<1+5y

4x<5y+1

Step 2: Divide both sides by 4.

4x4<5y+14

x<54y+14

Answer:

x<54y+14

Let's solve for x.

12y−x<3

Step 1: Add (-1)/2y to both sides.

−x+12y+−12y<3+−12y

−x<−12y+3

Step 2: Divide both sides by -1.

−x−1<−12y+3−1

x>12y−3

Answer:

x>12y−3

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Step-by-step explanation:

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Step-by-step explanation:

8 0
3 years ago
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How do you use a strategy of 30%of 900?
Julli [10]

Answer: 2 7 0

Step-by-step explanation:

1. We assume, that the number 900 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 900 is 100%, so we can write it down as 900=100%.

4. We know, that x is 30% of the output value, so we can write it down as x=30%.

5. Now we have two simple equations:

1) 900=100%

2) x=30%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

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6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 30% of 900

900/x=100/30

(900/x)*x=(100/30)*x       - we multiply both sides of the equation by x

900=3.33333333333*x       - we divide both sides of the equation by (3.33333333333) to get x

900/3.33333333333=x

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x=270

now we have:

30% of 900=270

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Cross-multiply the propportion:

160 x 6 = 4p

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