A hotel currently has enough room to accommodate at most 200 guests per night. It plans to expand its capacity by 12 guests every year. To make a profit, the hotel must have at least 40 guests staying in the hotel. The hotel manager expects that threshold to increase by 10% every year.

The manager modeled this situation with a system of linear inequalities, where x is the time from today, in years, and y is the number of guests. Which ordered pairs represent viable solutions of this system?

Answer:

I think 40 visitors

Step-by-step explanation:

I am not 100% sure

Answer:

c. 50 visitors

Step-by-step explanation:

you can see that hiking is 1/4th of the circle

because it is a right angle

Answer:

7x + 5

Step-by-step explanation:

Let's simplify step-by-step.

3(x−1)+4(x+2)

Distribute:

=(3)(x)+(3)(−1)+(4)(x)+(4)(2)

=3x+−3+4x+8

Combine Like Terms:

=3x+−3+4x+8

=(3x+4x)+(−3+8)

=7x+5

-Bacon

Answer:

Fraction of females enrolled in the course = 6 / 7

Step-by-step explanation:

Suppose that

Total Number of males = x  

Total Number of females = 6x  

Total Number of Students = 6x + x = 7x  

Now, we have to find the what fraction of the course females candidates constitute.  

Female Fraction = Total Females : Total Students  

Female Fraction = 6x : 7x  

Female Fraction = 6 : 7  

Female Fraction =  6 / 7

So Total number of females enrolled in the course constitute the fraction = 6 / 7

Answer:

C

Step-by-step explanation:

- means you go to the left on a graph (if the number is in the x position)  or down on a graph (if it's a negative in the y's place) in this case it's a negative 3 in the x's place so we go left 3 times. Then we go up 4 where we will meet the C coordinate.

Answer:

x=2

y=0

Step-by-step explanation:

I use symbolab it helps

Answer:

Lets say that m is months

Every month she deposits 30 so that is 30m

lets say t is time

t = 30m > 120

After 4 months, she will have exactly $120. In 5, she will have more.

Step-by-step explanation:

Answer:

700

Step-by-step explanation:

5 x 20= 100

5 x 20= 100

10 x 20= 200

10 x 20= 200

5 x 10= 50

5 x 10= 50

100+100+200+200+50+50=700

Step-by-step explanation:

You can do the equation 145+3v for Gisele’s Gym

For Freddie’s Fitness do the equation 75+5v and put in the number of visits for v

For example, for 33 visits Freddie’s fitness has a lower cost than Gisele’s gym. You could do 3x33 + 145 = ? for Gisele’s gym, and do 5x33 + 75 for Freddie’s Fitness, and then compare which one has a lower cost. But technically I just gave you one answer and shown you what you could do.

I’m not particularly sure if I’m correct but that’s how I would do it, sorry for the long wait, if you have any questions you can ask me :)

Answer:?

Step-by-step explanation:

Answer:

ur bad

Step-by-step explanation:

Answer:

8842

Step-by-step explanation:

The approximate balance of the savings account after 33 years with monthly compounding interest will be approximately $425,632.50.

To calculate the approximate balance of the savings account after 33 years with monthly compounding interest, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Substituting the values into the formula:

A = $7500(1 + 0.0512/12)^(12*33)

Calculating inside the parentheses first:

A = $7500(1 + 0.00427)^(396)

Now, raising to the power:

A ≈ $7500(1.00427)^(396)

Evaluating this expression:

A ≈ $7500 * 56.951

A ≈ $425,632.50

Therefore, the approximate balance of the savings account after 33 years with monthly compounding interest will be approximately $425,632.50.

Learn more about compounding interest at https://brainly.com/question/3989769

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Answer:

choice C) 44

Step-by-step explanation:

it's fuzzy but if I read it correctly,

5Z-16 = 3Z+8

2Z = 24

Z = 12

FG = 3(12) + 8

FG = 44

Answer:

y=-3x-1

Step-by-step explanation:

y-y1=m(x-x1)

y-2=-3(x+1)

y-2=-3x-3

+2    +2

y=-3x-1

Answer:

You answered it correctly :)

Step-by-step explanation:

Answer:

the answer to this question is C. D: −2≤x≤2; R: −2≤y≤2

Answer:

It will be True

Hope it's help

Answer:

Line A and Line C are parallel

Step-by-step explanation:

Slope Equation: [tex]m=\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

Step 1:  Find the slope of the first line

Line a passes through (-1, -2) and (1, 0).

[tex]m = \frac{(0- (-2))}{(1 - (-1))}[/tex]

[tex]m=\frac{2}{2}[/tex]

[tex]m=1[/tex]

Step 2:  Find the slope of the second line

Line b passes through (4, 2) and (2, -2).

[tex]m = \frac{(-2- 2)}{(2 - 4)}[/tex]

[tex]m = \frac{-4}{-2}[/tex]

[tex]m=2[/tex]

Step 3:  Find the slope of the third line.

Line c passes through (0, 2) and (-1, 1).

[tex]m=\frac{(1-2)}{(-1 - 0)}[/tex]

[tex]m=\frac{-1}{-1}[/tex]

[tex]m=1[/tex]

Answer:  Line A and Line C are parallel

Answer:

382.5?????

Step-by-step explanation:

because 850×45% its that

Answer:

I agree with Mary

Step-by-step explanation:

Cone:

r = 8/2 = 4 ft

h = 16 - 12 = 4 ft

Volume = [tex]\frac{1}{3}\pi r^{2}h\\[/tex]

             [tex]= \frac{1}{3}*3.14*4*4*4\\\\=\frac{200.96}{3}\\\\= 66.98\\\\= 67 cubic feet\\[/tex]

Cylinder:

r = 4 ft

h= 12 ft

Volume = πr²h

              = 3.14*4*4*12

            = 602.88

           = 603 cubic feet

Step-by-step explanation:

the formular for finding the volume( how much it can contain in this instance) of the cone(spout) is

[tex] \frac{1}{3} \times \pi \times {r}^{2} \times l[/tex]

r is the radius of the cone l is the height of the cone π = 22/7

1/3 × 22/7 × 4 × 4 × 4

diameter divide by 2 gives the radius 8/2 = 4

the height of the whole shape - the height of the upper part(cylinder) gives the height of the cone

16 - 12 = 4

volume of spout(cone)=22/21 × 64 =67 cubic feet(f^3)

Answer:

The answer is 0.02

Answer:

so practically, the only thing that we would do would be doing is converting the meters to feet 12.4 meters convert to feet would be 40.6 ft :)

Answer: To be exact, about 40.68241 feet, you can round to the nearest hundredths place to get 40.67

A.

Each triangle has angles 42,48,90.

Answer:

your answers are correct :)

Step-by-step explanation:

Answer:

those are both correct the awnser thar you have put.

the first question asks what is write the sum as a unit fraction. the unit fraction is 1/10 because it is how you show any unti fraction like 1/20 or 1/100. and 1/10+1/10+1/10=3/10 and is using unit fractions.

the second question is correct because the picture shows you that they start out with 3/5 because they are highlighted green. and they cross out 2 1/5 or 2/5. that is why 3/5-2/5=1/5

Hope this helps!

Answer:

x=11

Step-by-step explanation:

100+2

Step-by-step explanation:

[tex] \frac{9}{3} = 3 \\ \frac{15}{3} = 5 \\ x = 5[/tex]

Answer:

independent- hours

dependent- money earned

the amount of money you make depends on the amount of hours you babysit

y=8x

Step-by-step explanation:

Answer:

18 feet

Step-by-step explanation:

divide 12 by 2 and you have a side length, because of the midpoints

the perimiter in this case would be 6x3=18

Answer:

5 and down

Step-by-step explanation:

Answer:

L= 90, M=53, K=37

Step-by-step explanation:

Tilt your phone/computer to the right, and you'll see the 90° angle for L. Now you're left with two more, and just compare which angle is bigger, K or M. M is bigger, so you apply the bigger number out of the you got which is 53. Now no doubts, K is 37.

From this list, we can see that all the numbers are multiples of 2 and 3. So, the correct answer is option B) 2 and 3.

What are common multiples?

Common multiples are multiples that two or more numbers have in common. In other words, common multiples are numbers that are multiples of two or more given numbers.

To find the common multiples of 6, 12, 18, and 36, we can start by finding the prime factorization of each number:

6 = 2 x 3

12 = [tex]2^2[/tex] x 3

18 = 2 x [tex]3^2[/tex]

36 = [tex]2^2[/tex] x [tex]3^2[/tex]

To find the common multiples, we need to list the multiples of the largest number, which is 36, and check which ones are also multiples of the other numbers:

Multiples of 36: 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396, ...

Therefore, From this list, we can see that all the numbers are multiples of 2 and 3. So, the correct answer is option B) 2 and 3.

To learn more about Common multiples from given link.

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Answer:

x^2 + 14x + 49

Step-by-step explanation:

Use the distributive property:

(x + 7)(x + 7) = x^2 + 7x + 7x + 49 = x^2 + 14x + 49