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sammy [17]
2 years ago
5

Peter is the owner of a hotel. He has found that when he charges the nightly cost of $139, the average occupancy is 275. In addi

tion, Peter has found that with every $10 increase in the average nightly cost, the hotel occupancy decreases by an average of 22.
Which of the following functions describes the hotel's profit in terms of x, the number of $10 increases over $139?
Mathematics
1 answer:
zimovet [89]2 years ago
3 0

Answer:

Without price increase, Cost/night = $119

Average occupancy = 372 The revenue will be 119*372 = $44,268

For every $15 price increase, the occupancy decreases by 25. Therefore with x price increases, The revenue will be $(119 + 15x)*(372 25x)

Cost/night = $119 + 15x Occupancy = 372 - 25x

Answer:

The nightly cost with x $15 price increases is $119 + 15x.

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GIVING BRAINLIEST TO FIRST CORRECT ANSWER!
Talja [164]

Answer:

  B.  Similar, SAS

Step-by-step explanation:

Congruent angles are shown between proportional sides (the larger figure is 3 times the size of the smaller one).

The meaning of SAS is "side-angle-side", which describes the relationship of the similar parts.

4 0
3 years ago
Read 2 more answers
Take a factor out of the square root:
Allisa [31]

Answer:

Question A)

=\sqrt{6}x

Question B)

=3a\sqrt{a}

Question C)

=5\sqrt{2}b^2

Step-by-step explanation:

A)

We are given:

\sqrt{6x^2}\, \text{ where } x\geq 0

We can rewrite the expression:

=\sqrt{6}\cdot \sqrt{x^2}

The square root and square will cancel each other out. Thus:

=\sqrt{6}x

B)

We are given:

\sqrt{9a^3}

Rewrite:

=\sqrt{9}\cdot \sqrt{a^3}

Note that the square root of 9 is simply 3. We can also factor the second part:

=3\cdot \sqrt{a^2\cdot a}

Rewriting:

=3\cdot\sqrt{a^2}\cdot\sqrt{a}

Simplify:

=3a\sqrt{a}

C)

We are given:

\sqrt{50b^4}

Rewrite. Note that 50 = 25(2):

=\sqrt{25}\cdot \sqrt{2}\cdot \sqrt{b^4}

Simplify. We can rewrite the factor as:

=5\cdot \sqrt{2}\cdot \sqrt{(b^2)^2}

The square and square root will cancel out. Thus:

=5\sqrt{2}b^2

8 0
3 years ago
Is 3.734795.... a rational or irrational number? and why
Marina CMI [18]

Answer:

Let's look at what makes a number rational or irrational ...

Rational Numbers

A Rational Number can be written as a Ratio of two integers (ie a simple fraction).

Example: 1.5 is rational, because it can be written as the ratio 3/2

Example: 7 is rational, because it can be written as the ratio 7/1

Example 0.333... (3 repeating) is also rational, because it can be written as the ratio 1/3

 

Irrational Numbers

But some numbers cannot be written as a ratio of two integers ...

...they are called Irrational Numbers.

Example: π (Pi) is a famous irrational number.

Pi

π = 3.1415926535897932384626433832795... (and more)

We cannot write down a simple fraction that equals Pi.

The popular approximation of 22/7 = 3.1428571428571... is close but not accurate.

Another clue is that the decimal goes on forever without repeating.

Cannot Be Written as a Fraction

It is irrational because it cannot be written as a ratio (or fraction),

not because it is crazy!

So we can tell if it is Rational or Irrational by trying to write the number as a simple fraction.

Example: 9.5 can be written as a simple fraction like this:

9.5 =  

19

2

 

So it is a rational number (and so is not irrational)

Here are some more examples:

Number   As a Fraction   Rational or

Irrational?

1.75    

7

4

   Rational

.001    

1

1000

   Rational

√2

(square root of 2)   ?   Irrational !

Square Root of 2

Let's look at the square root of 2 more closely.

square root 2 When we draw a square of size "1",

what is the distance across the diagonal?

The answer is the square root of 2, which is 1.4142135623730950...(etc)

But it is not a number like 3, or five-thirds, or anything like that ...

... in fact we cannot write the square root of 2 using a ratio of two numbers

... I explain why on the Is It Irrational? page,

... and so we know it is an irrational number

Famous Irrational Numbers

Pi    

Pi is a famous irrational number. People have calculated Pi to over a quadrillion decimal places and still there is no pattern. The first few digits look like this:

3.1415926535897932384626433832795 (and more ...)

e (eulers number)    

The number e (Euler's Number) is another famous irrational number. People have also calculated e to lots of decimal places without any pattern showing. The first few digits look like this:

2.7182818284590452353602874713527 (and more ...)

phi    

The Golden Ratio is an irrational number. The first few digits look like this:

1.61803398874989484820... (and more ...)

radical symbol    

Many square roots, cube roots, etc are also irrational numbers. Examples:

√3 1.7320508075688772935274463415059 (etc)

√99 9.9498743710661995473447982100121 (etc)

But √4 = 2 (rational), and √9 = 3 (rational) ...

... so not all roots are irrational.

pls, branliest :)

7 0
3 years ago
Megan starts eating breakfast at 9:54 AM. Tell what time she is done with breakfast if she takes the given number of minutes to
Studentka2010 [4]

The time she will be done with her breakfast is by = 10:48 am

<h3>Conversation of time</h3>

The time Megan started her breakfast = 9:54 AM.

In terms of hours = 9

In terms of minutes = 54

If she takes the given number of minutes to eat which is = 54 mins .

Therefore, the time she will be done with her breakfast is = 9:54 + 54

= 10: 48 am

Learn more about time here:

brainly.com/question/10428039

8 0
2 years ago
(x4)2<br> Find the product
IgorLugansk [536]

Answer:

 8

x

Step-by-step explanation:

pretend the 8 is a exponent

6 0
3 years ago
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