a hotel with 75 rooms has 45 for doubles and 30 singles. singles can be booked in any room, but reservations for two or more people must be booked in double rooms. what inequalities represents this situation?

Answers

Answer 1

Answer:

y = 75 - x

Step-by-step explanation:

From the question, we are given variables, and then we can see that

when x = 75 then y = 0

when x = 30 then y = 45

Finding the difference, we have

slope(m) = (45 - 0) / (30 - 75)

slope(m) = 45 / -45

slope(m) = -1

Next, we use the calculated m, to find b, using the formula

y = mx + b

0 = -1 * 75 + b

0 = -75 + b

b = 75

And finally, to get the needed equation, we say that

so y = mX+c

So that

y = -1 * x + 75

y = -x + 75

or y = 75 - x


Related Questions

I need help please lol

Answers

Answer:

b d f  i think sorry if this doesnt help but have a great day :)

Step-by-step explanation:

Write a polynomial expression that represents the total area of a square with a side length of (3x - 4).

Answers

We now that in order to calculate the area of a square we use the formula a^2

Where a=length of the side

So (3x-4)^2 that is the same as (3x-4)(3x-4)

Then just multiply each term by each term

The answer is 9x^2 - 24x + 16



A cylindrical soup can has a radius of 8.4 cm and a height of 13.2 cm. What is the volume of the soup can to the nearest tenth of a cubic centimeter?
A= 110.9 cm3

B= 348.3 cm3

C= 673.8 cm3

D= 2926.1 cm3

Answers

Answer:

Option D: 2926.1 cm³

Step-by-step explanation:

Dimensions of the cylidrincal soup can are given as;

Radius; r = 8.4 cm

height; h = 13.2 cm

Formula for area of cylinder is;

A = πr²h

Plugging in the relevant values gives;

A = π × 8.4² × 13.2

A = 2926.05 cm³

Approximating to the nearest tenth gives;

A = 2926.1 cm³

g(x) = x^2 + 55
What is the minimum value of the given function?​

Answers

Answer:

Step-by-step explanation:

55.

The solution is, the function doesn't have a minimum value.

What is derivative?

A derivative is described as either the rate of change of a function, or the slope of the tangent line at a particular point on a function.

here, we have,

given that,

the function is,

g(x) = x^2 + 55

now, we have to find the min. value of the function.

so, we have,

g(x) = x^2 + 55

the 1st order derivative is,

g'(x)= 2x

now, we have, critical point, at g'(x)= 0

i.e. at 2x = 0

or, x = 0

so, min. value is at x= 0 of g''(x),

i.e.  g''(x) = 2

so, it doesn't have any minimum value.

Hence, The solution is, the function doesn't have a minimum value.

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Find x in the equation?

Answers

Its 9cm do not mind the K.E (top answer).

Solve for the variable in the proportion below. Type the number only. Your answer should be a whole number.

2/4 =5/x

x =

Answers

2/4 = 5/x <=>

2x = 5*4 <=>

2x = 20 <=>

x = 20/2 <=>

x = 10

1. Slope: (put your answer in the form 3/4)

Answers

Answer:

1/4x

Step-by-step explanation:

The slope of any graph can be determined with the same formula

Change in Y

Change in X

Fill in the fraction

1

4

Thats how you get the slope.

I hope this helps!

pls give brainliest and thanks

4,0000000000×10,00000000

Answers

Answer:

yes 40

Step-by-step explanation:

she got it correct

Solve for x.
Round to the nearest hundredth if necessary.

Answers

Answer:

4.24

Step-by-step explanation:

By geometric mean property

[tex] {x}^{2} = 6 \times 3 \\ \\ {x}^{2} = 18 \\ \\ x = \pm\sqrt{18} \\ \\ x = \pm 4.24264069 \\ \\ \because \: x \: can \: not \: be \: - ve \\ \\ \therefore \: x = 4.24 \: units \\ [/tex]

I need 1 more credit to pass my class!

Answers

Answer:

the answer is 3

Step-by-step explanation:

you piece of garbage im tryna help why u report me

Geoff earns $9.25 per hour before taxes, and he works 40 hours per week. Geoff's employer withholds (takes out) 10.65% of geoff's income for taxes. What are geoff's total weekly earnings after taxes are withheld?
A) $ 39.41
B) $59.90
C) $ 330.60
D) $ 370.00

Answers

Answer:

a

Step-by-step explanation:

Which subtraction problem does NOT require zero pairs to solve using chips ? ( PLEASE ANSWER ASAP )

Answers

Answer:

c.

Step-by-step explanation:

Answer:It is not C

Step-by-step explanation:

Help me pleaseeeeeeeeeeeeeeeeee

Answers

The answer is 0.06 meters
0.06 meters is the answer

A weather balloon is released and rises vertically such that its distance s (t) above the ground during the first 10 sec of flight is given by s(t)-6+2t+t2, where s(t) is in feet and t is in (a) Find the velocity at t- 4 seconds. (Worth 5 points) sec/Pt Answer (b) Find the instant the balloon is 50 feet above the ground.

Answers

Step-by-step explanation:

A weather balloon is released and rises vertically such that its distance s (t) above the ground during the first 10 sec of flight is given by :

[tex]s(t)=6+2t+t^2[/tex] ...(1)

(a) We need to find velocity at t = 4 seconds

Differentiate equation (1) wrt t.

[tex]v=\dfrac{ds}{dt}\\\\v=\dfrac{d(6+2t+t^2)}{dt}\\\\v=2+2t[/tex]

At t = 4 seconds,

[tex]v=2+2(4)\\\\=10\ ft/s[/tex]

At t = 4 seconds, the velocity is 10 ft/s.

(b) When the balloon is 50 feet above the ground,

[tex]6+2t+t^2=50[/tex]

We need to find t.

[tex]6+2t+t^2=50\\\\t^2+2t-50+6=0\\\\t^2+2t-44=0[/tex]

It is a quadratic equation,

t = 5.708 and t = -7.708

Neglecting negative time, the instant time is 5.708 seconds.

a local libary has 2500 fiction books and 5000 nonfiction books what is the nonfiction to fiction ratio in the libary?

Answers

Answer:

Step-by-step explanation:

5000 nonfiction and 2500 fiction

ratio is 5000/2500=2

ratio is 2:1

The correct answer is that the ratio is 2:1. I hope this helps.

If a+b/a-b=5/3, what are the following ratios? 2a-4b/a-2b

Answers

Answer:

Hope this may helps you

The value of ratios (2a - 4b) / (a - 2b) is,

⇒ 2

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

Given that;

The value is,

⇒ (a + b )/ (a-b) = 5/3

Now, We get;

⇒ a + b = 5

⇒ a - b = 3

Hence, By solving above equation,

a = 4

b = 1

Thus, The value of ratios (2a - 4b) / (a - 2b) is,

⇒ (2a - 4b) / (a - 2b)

⇒ (2 × 4 - 4 × 1) / (4 - 2 × 1)

⇒ (8 - 4) / (4 - 2)

⇒ 4 / 2

⇒ 2

Thus, The value of ratios (2a - 4b) / (a - 2b) is,

⇒ 2

Learn more about the ratio visit:

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April bought a 5 pound bag of flour. If 1 pound equals 16 ounces, how many ounces of flour did April purchase?

Answers

Answer:

80 ounces

Step-by-step explanation:

5x16=80

please help i will name brainiest

Answers

Answer:

Step-29 (86by-step explanation:


The weighted mean of the variables 2,5,8,10 with weights 1,3,1,2 is...

6.2

O 6.4

O 1.4


which one ?​

Answers

The weighted average of 4 entered numbers is 6.4286 so its b 6.4

Player pays a fee, then reaches into a large jar and picks out a ball. The jar contains one ball for each letter of the alphabet. If the players picks out a ball with a vowel on it, the player wins 200 dollars. If the player picks out a ball with a consonant on it, the player wins nothing. What fee should be charged to play this game in order for it to be considered a fair game?

Answers

Answer:

€4.20

Step-by-step explanation:

the have a 5 in 26 chance in winning so 26(letters in alphabet) - 5(vowels) =21

21÷5 =4.2

which transformation is happening in the image below​

Answers

Answer:

a

Step-by-step explanation:

need this done fast pls.

Answers

Answer:

45°

Step-by-step explanation:

85 + 50 + ? = 180

? = 180 - 85 - 50

? = 45

2x+5=13


Help me out please

Answers

Answer:

4

Step-by-step explanation: 2x+5=13

                                                  -5   -5

                                                   2x=8

                                                   /2     /2

                                                      x=4

Answer:

X = 4

Step-by-step explanation:

Subract 5 from 5 and 13

Simplify: 2x = 8

divide both sides of the equation by the same term 2x/2 8/2

which gets you x = 4

Find the m D
55
35
В

Answers

Not answere just need point srry

Annie's ant population doubles every week.
After 3 weeks of doubling, how many ants will she have if her colony
started with 50?

Answers

Answer:

400.

Step-by-step explanation:

50 doubles to 100 for the 1st week. 100 becomes 200 the 2nd and 400 for the 3rd week.

Answer:

400

Step-by-step explanation:

just did the work

Which expression is equal to 1-12|- |-3|?
О-15
9
o 9
o 15​

Answers

Answer:

15 i think 15 or 9 is the answer

Which of the following numbers can be expressed as decimals that terminate? 5 over 2, 4 over 5, 2 over 7, 4 over 3 5 over 2 and 2 over 7 4 over 5 and 4 over 3 5 over 2 and 4 over 5 2 over 7 and 4 over 3 my friend needs help

Answers

Answer:

I hope this helps!!

Step-by-step explanation:

We have given that : numbers - 9 over 7, 5 over 3, 3 over 2, 6 over 4

To find : which are terminating decimal

Terminating decimals are those whose figures to the right of some place are zero or  have an end.

Solution : we check one by one,

1) 9 over 7 = 9/7 = 1.285714285714285714.... -Non terminating

2) 5 over 3 = 5/3 = 1.666666666666666...... -Non terminating

3) 3 over 2 = 3/2 = 1.5 - Terminating

4) 6 over 4 = 6/4= 3/2 = 1.5 - Terminating

I'm sorry if this is wrong :(

Which math expression means "33 more than an unknown number"?
O A. 33. x
O B. X-33
O C. X+33
O D. X=33

Answers

C is the answer it’s supposed to be X+33

failed my elementary statistics college class, 1st semester, can i retake the same class? or no

Answers

Answer:

I think you can

Step-by-step explanation:

Answer:

I think you can take it in the next semester

Step-by-step explanation:

What’s 2/2 x 5/6 plz help me

Answers

Answer:

5/6

Step-by-step explanation:

2/2 = 11 × 5/6 = 5/6

I hope this helps!

5/6 because 2/2 would equal 1 and 1 times and number always ends up the same
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