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:

27 cups

Step-by-step explanation:

Amount of orange juice in the mixture = 3 quarts

Therefore, number of cups of orange juice = 3 × 4 cups [Since, 1 quarts = 4 cups]

                                                                        = 12 cups

Amount of milk in the mixture = 5 pints

Therefore, amount of milk in cups = 5 × 2  [Since, 1 pint = 2 cups]

                                                         = 10 cups

Amount of pineapple juice in the mixture = 5 cups

Amount of mixture = Amount of Orange juice + Amount of pineapple juice + Amount of milk

= 12 + 10 + 5

= 27 cups

Therefore, total amount of smoothies = 27 cups

Answer:

923

Step-by-step explanation:

Global warming might cause rising sea levels and severe drought. ... (Also discuss whether power should remain with individual countries or be placed in an all-European government.) Think about the physical and human geography of Europe.

Answer:

50

Step-by-step explanation:

all angles must equal to 180

Answer:

The six possible rectangular prisms Anabelle could build are;

W = 1,  B = 1,  L = 56

W = 1, B = 2,  L = 28

W = 1,  B = 4,  L = 14

W = 2,  B = 2,  L = 14

W  = 1,  B = 7,  L = 8

W = 2,  B = 4,  L = 7

Step-by-step explanation:

The number 1 cm³ Annabelle has = 56

The dimensions volume of the cubes Annabelle could build with the 1 cm³ = 56 cm³

The volume of rectangular prism, V = L × B × W

∴ For the rectangular prism, V = 56 cm³ = L × B × W

Therefore, the possible dimensions of the prism are three factors of 56, including;

1, 2, 4, 7, 8, 14, 28, 56

The combination of 3 factors of 56 that can be multiplied together to give 56 and therefore, the possible rectangular prisms includes;

  W × L × B = A

1) 1 × 1 × 56 = 56

2) 1 × 2 × 28 = 56

3) 1 × 4 × 14 = 56

4) 2 × 2 × 14 = 56

5) 1 × 7 × 8 = 56

6) 2 × 4 × 7 = 56

There are therefore 6 possible rectangular prisms Annabelle could build

Answer:

(6,3)

Step-by-step explanation:

It will make a weird diamond shape.

Answer:

(6,3)

Step-by-step explanation:

A rhombus lis like a diamond shape so we know its going to be opposite if point B.

Point B is located 3 units above the invisible line that connects A and C.

Count down 3 units from that line and you will get your answer.

:)

Answer:

1b 2a 3c

Step-by-step explanation:

Its hegarty right?

Answer:

4:3

Step-by-step explanation:

because 32:24 simpified is 4:3

Answer:

No, because the first equation equals -1.5x + 2.5 when simplified, but when the second equation is simplified it equals 1

Answer:

No and yes. it depends on what type of function you are looking for this will be a Linear Function.

Answer:

I think the answer is 20 ..........

Step-by-step explanation:

5

Answer:

43

Step-by-step explanation:

2(2) + 15(2)+ 9 = 43

Answer:

43

Step-by-step explanation:

2 x 2 = 4

4 + (15 x 2) = 34

34 + 9 = 43

Alright.

For 7, you'll want to put congruent sides equal to each other, assuming they are parallelograms. So, you'll get the two equations:

3x+2=23

2y-7=9

Solve using GEMDAS/PEMDAS, and you'll get these answers.

3x+2=23

3x=21

x=7

2y-7=9

2y=2

y=1

For 8, you'll want to do the exact same thing, formatting the numbers to equal each other. You'll get these two equations:

3y+5=14

2x-5=17

Solving them would make:

3y+5=14

3y=9

y=3

2x-5=17

2x=22

x=11

For 9, you have to remember that the angle opposite of one angle in a defined parallelogram are congruent. Thus:

130=2h

5k=50

solve them and you get

h=65

k=10

___________________________________________

Hope that helped. Good luck.

Answer:

7.) y=8, x=7

8.) y=3, x=11

9.) h=65, k=10

Step-by-step explanation:

First, let's start with #7. By definition of a parallelogram, we can say that opposite sides are congruent, meaning 2y-7=9 and 3x+2=23.

So, solving these problems-

2y-7=9

2y=16

y=8

3x+2=23

3x=21

x=7

Now, let's move on to #8. For this, a defining property of a parallelogram is that the diagonals bisect each other. So, 3y+5=14 and 2x-5=17.

Let's solve these equations-

3y+5=14

3y=9

y=3

2x-5=17

2x=22

x=11

Now, finally #9. Another defining property of a parallelogram is that opposite angles are congruent. So, 2h=130 and 5k=50.

So, h= 65 and k= 10.

Answer:

y = 25x + 128.8

Step-by-step explanation:

y = total cost

x = amount of days the car was rented

25 represents the daily charge for the fee and the insurance (15+10=25)

128.8 represent the cost for miles driven by Jerry

This was calculated by multiplying the amount of miles he drove (644) by the cost of each mile (.20)

644x.20=128.8 so the cost for miles driven is $128.8 which is why it was added to the equation

A is correct.

5^2=25

2^3=8

3^2=9

25+8x9

The answer is 33. The side lengths of a cube are all the same and the volume is length x width x height. So, you just cube 35,937 cm to get 33 cm.

Answer:

33

Step-by-step explanation:

Answer:

x=4

y= 1/2

Step-by-step explanation:

The easiest way to solve this is to subtract the two equation from each other

wee have

  4x+2y=17

-  3x+2y=13

___________

x=4

Now that we know what x is we can solve for y

4(4)+2y=17

16+2y=17

2y=1

y= .5

Answer:

a: 5

b: (0, -2)

c: 3

d: (0, 11)

Step-by-step explanation:

Hope this helps!

Answer:

The answer is 8.19, You have to divide 32.76 by 4(Ps. Sorry I'm not good at explaining)

Answer:212.4

Step-by-step explanation:

Opposite/hypotenuse

Sin23=83/x

Multiply x to both sides to cancel out the x under 83

You get xsin23=83

Then divide sin23 to both sides

X=83/sin23

X=212.4

Answer:

Step-by-step explanation:

Student : teacher = 5 : 2

Number of students = 5x

Number of teachers = 2x

Last year:

Last year Total  = 56

5x+  2x = 56

       7x = 56

        x = 56/7

x = 8

Number of students = 5*8 = 40

Number of teachers = 2*8 = 16

This year:Total = 70

5x + 2x = 70

       7x = 70

        x = 70/7

x = 10

Number of students = 5*10 = 50

Number of teachers = 2*10 = 20

Step-by-step explanation:

1. 3 multiplied by x is the same value of 6

2. since 3x is on the left side we have to divide the equation by 3 on both sides which doesn't change the value of x, but it helps us get the value for x. so when you divide the equation by 3 the answer for x=6/2 which 2 divided by 6=3

Hope that helps :)

Answer:

Because 3x2=6

Step-by-step explanation:

Answer: 19/7 ,3.14, 3.2

Step-by-step explanation: Hope this helps Have a brilliant day of learning!

Answer:

The slope is -1

Step-by-step explanation:

Anytime the x-intercept values have 0 in it, the y-intercept value which is below/above the x-values (Which in this case is -1) is the y-intercept.

Answer:

[tex]y = 12.001 + 7.63 = 19.631[/tex]

Hope it helps