A local park rents cabins for people who want to vacation by the forest. The fee for the rental is $27 per night.There is also $55 cleaning and maintenance charge that is added to the total bill.
Define variables for the number of days that a cabin is rented and the cost of the rental. Use the variables to write an equation that represents the cost to the rent the cabin,given the number of days that the cabin is rented.

Please answer as quickly as possible this is URGENT

Answers

Answer 1
x represents the total number of nights rented.  $55 is the constant.

$27x + 55

Related Questions

A line has the following vector equation.
[x, y] = [2, -3] + t[5, 1]

a) State the coordinates of three other points on the line. Can you show your work please.
b) Write another vector equation of this line.

Answers

a) You can use 3 different numbers for t. How about 5, 10, 20?
.. [x, y] = [2, -3] +5[5, 1] = [27, 2]
.. [x, y] = [2, -3] +10[5, 1] = [52, 7]
.. [x, y] = [2, -3] +20[5, 1] = [102, 17]


b) You can replace t with any function of whatever parametric variable you want to use. For example, t = -3s+2.
.. [x, y] = [2, -3] +(-3s +2)[5, 1]
.. = [2 -15s +10, -3 -3s +2]

.. [x, y] = [12, -1] +s[-15, -3]

_____
The graph uses "t" instead of "s" for the parameter of the second version of the line. This is a Desmos thing: it likes "t" for parametric equations. The second equation is shown as dotted, so you can see it is the same line as the first equation (solid red).

A stadium has a total of 18000 seats. Of these 7500 are field seats and the rest are grandstand seats. Write an equation that can be used to find the number of standsteats s

Answers

18000-7500=x because whatever the number "x" is would be your answer trust me.


Maya's penny bank is 3/10
full. After she adds 520
pennies, it is
4/5 full. How many pennies can Maya's bank hold?

Answers

Final answer:

Maya's bank can hold 1733 pennies.

Explanation:

To find out how many pennies Maya's bank can hold, we can set up an equation using the given information. Let's start with the fact that Maya's bank is 3/10 full before adding 520 pennies. This means that 3/10 of the bank's capacity is equal to 520 pennies. We can use this information to find the total capacity of the bank.

Since 3/10 of the bank's capacity is equal to 520 pennies, we can set up the equation (3/10)x = 520, where x represents the total capacity of the bank in pennies.

To solve for x, we can multiply both sides of the equation by 10/3 to cancel out the fraction. This gives us x = (10/3) * 520 = 1733.33. Since we cannot have a fraction of a penny, we round down to the nearest whole number. Therefore, Maya's bank can hold 1733 pennies.

One side of a regular hexagon is 4 cm. What is the length of one other side?

a. 4 cm
b. 5 cm
c. 6 cm
d. can't be determined.

Answers

all sides of a regular hexagon are equal.

 the answer is a, 4 cm

Answer:

Your Answer is 4 CM

Step-by-step explanation:

The equation of the circle whose center is at (3, 7) and whose radius is 6 is a. (x + 3)² + (y + 7)² = 6 b. (x + 3)² + (y + 7)² = 36 c. (x - 3)² + (y - 7)² = 36

Answers

[tex]\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{3}{ h},\stackrel{7}{ k})\qquad \qquad radius=\stackrel{6}{ r} \\\\\\ (x-3)^2+(y-7)^2=6^2\implies (x-3)^2+(y-7)^2=36[/tex]

Jalla's hourly wage is $11.791. Round her salary to the nearest cent

Answers

Final answer:

Jalla's hourly wage, when rounded to the nearest cent, is $11.79.

Explanation:

To round Jalla's wage to the nearest cent, we must look at the numbers following the decimal. In this case, Jalla's hourly wage is $11.791. Decimal rounding rules tell us that if the number following the decimal is equal to 5 or more, round up; otherwise, round down. In this case, the number after the decimal is 9, more than 5, so we round the second decimal place up. Therefore, rounding to the nearest cent, Jalla earns $11.79 per hour, her rounded wage.

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Which of the following is a solution to 3tan^3x=tanx?
PLEASE HELP

Answers

Answer:
0, π, 2π, π/6, 5π/6, 7π/6 and 11π/6

Explanation:
3 tan³x = tan x
3 tan³x - tan x = 0
tan x (3 tan²x - 1) = 0
either tan x = 0
This means that:
x = 0 , π or 2π ...........> I

or 3 tan²x - 1 = 0
This means that:
3 tan²x = 1
tan²x = [tex] \frac{1}{3} [/tex]
tan x = ± [tex] \frac{1}{ \sqrt{3}} [/tex]
at tan x = [tex] \frac{1}{ \sqrt{3}} [/tex]
x = π/6 or 7π/6 ...................> II
at tan x = - [tex] \frac{1}{ \sqrt{3}} [/tex]
x = 5π/6 or 11π/6 ..............> III

From I, II and III, the solutions for x would be:
0, π, 2π, π/6, 5π/6, 7π/6 and 11π/6

Hope this helps :)

Answer:

its 150 degrees i think

Step-by-step explanation:

i could be wrong though but i'm like 80% sure im right

the length of a rectanglr exceeds its width by 5 inches, and the area is 84 square inches. what are the length and width of a a rectangle

Answers

The area is the product of length and width, which is to say that the length and width are factors of the area.

Assuming the dimensions are integers, you want factors of 84 that differ by 5.

... 84 = 1×84 = 2×42 = 3×28 = 4×21 = 6×14 = 7×12

The last of these pairs differ by 5, so ...

the length is 12 inchesthe width is 7 inches.

Answer:

The answer is l=12, w=7

Step-by-step explanation:

Julia has to measure an object. She does not have a ruler. Tell what Julia could do to solve her problem.

Answers

pretty much and in short, make up your own measure.

so... say you can use a tie or something with length, and use that to measure whatever object you need it for.

for example, I can just grab a string, cut it, and measure something, and the measurement may just be that the object is my string 6 times, so I know the length of the object is 6 times the length of the string I cut.

it doesn't quite matter how long the string cut was, all that matters is that is relable or referenciable for reuse.  Later on I could always just get the string measure and convert it to metric, once I found a ruler  or imperial units.

but in the short run, it doesn't really matter the length of the string cut, all that matters is that is referenciable, the object will be 6 times my string cut, here, in France, in Pluto, in Andromeda, anywhere.

bear in mind that the measure units we use today, are only usable because they're referenciable, so if I tell you 15 inches of something, you know how much 15 inches is, so that's all that matters.

What is one way to determine if a quadrilateral has parallel sides

Answers

One way of finding it is to find the slope of the sides and if the slopes are the same then the lines are parallel.

Nancy builds a hollow wooden ramp for an obstacle course as part of an athletic event. The ramp and the net of the ramp are shown below. Units are in feet. The surface area of the ramp is square feet. Nancy wants to sell the wooden ramp at a price based on the surface area. If each square foot of wood of the ramp is sold for $3, the ramp would sell for $.

Answers

the answer would be $1,296

Nancy can sell the wooden ramp for $486 based on the surface area.

What is Area of Rectangle?

The area of Rectangle is length times of width.

The area of each rectangular face is length times width, so the top and bottom faces have an area of:

2 x (8 feet x 3 feet) = 48 square feet

The side faces also have an area of:

2 x (8 feet x 6 feet) = 96 square feet

The area of each triangular face is one-half the product of the base and the height, so the front and back faces have an area of:

2 x (0.5 x 3 feet x 6 feet) = 18 square feet

The total surface area of the ramp is the sum of the areas of all the faces:

48 + 96 + 18 = 162 square feet

If each square foot of wood of the ramp is sold for $3, then the ramp would sell for:

162 square feet x $3/square foot = $486

Therefore, Nancy can sell the wooden ramp for $486 based on the surface area.

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please help please ..

Answers

14,400 = P*0.08*30 . . . . . fill in the given numbers

Divide by the coefficient of P to find the value of P.
14,400/2.4 = P = 6000

An open rectangular box having a volume of 108 in.3 is to be constructed from a tin sheet. find the dimensions of such a box if the amount of material used in its construction is to be minimal. hint: let the dimensions of the box be x in. by y in. by z in. then, xyz = 108 and the amount of material used is given by

Answers

It works out the the optimum box dimensions are those that make the lateral area twice the base area. Of course, the base is a square in order to minimize the lateral area for a given base area.

That being the case, the height of the box is half the base edge length and the dimensions are
.. x = y = 6 in
.. z = 3 in

_____
If x and y are the base dimensions, the volume is
.. xyz = 108
and we want to minimize the area
.. area = xy +2(x+y)z

These equations are symmetrical in x and y, so the solution will require x=y. Making that substitution, we have
.. x^2*z = 108
.. x^2 +4xz = area = x^2 +4x(108/x^2)

That is, we want to minimize x^2 +432/x. A graphing calculator finds the minimum at x=y=6, (and z = 108/x^2 = 3).
Final answer:

Given that the volume of a rectangular box is a product of its length, breadth, and height, we define our problem using the given volume of 108 cubic inches and the formula for the surface area of an open box. To find the dimensions that will use minimal material requires the application of calculus and optimization techniques.

Explanation:

In this problem, we know that the volume of the open rectangular box is 108 cubic inches. The volume of a rectangular box can be calculated with the formula V = xyz where x, y, and z are the length, width, and height. If we let the dimensions of the box be x, y, and z inches respectively, it means that the volume V = 108 = x*y*z.

The amount of material used or the surface area S of an open box (a rectangular box without a top) is given by the formula S = xy + 2xz + 2yz. Here, our task is to minimize this surface area.

To minimize the surface area, we need to employ calculus, specifically the concept of optimal control. However to apply calculus, we need to express S in terms of one variable. We can get this by expressing y in terms of x and z using the volume formula. This leads to a complex optimization problem that involves calculus.

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Mario was given some birthday money. He puts the money in an account. Every month after that, he deposits the same amount of money.The equation that models this situation is y = 75x + 50, where y is the amount of money in the account and x is the number of deposits.What does the y-intercept mean in this situation? A. He puts $75 in the account each month. B. He puts $50 in the account each month. C. He was given $75 for his birthday. D. He was given $50 for his birthday.

Answers

The y intercept in the equation y=75x+50 shows that he was given $50 for his birthday which is option D.

What is equation?

Equation is like a relationship between two variables in equal to form which is simplified in order to get the value of both variables.

How to evaluate an equation?

The given equation is y=75x+50 where y is the amount of money in the account and x is the number of deposits. Put the value of x=0 and we get y=50 means when deposit is 0 means no deposits then the amount of money in account is equal to 50 which concludes that Mario was given 50 on his birthday.

Hence y intercept in the equation y=75x+50 shows that he was given $50 for his birthday.

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Help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Asked and answered elsewhere.
https://brainly.com/question/9281713

How many MP3 players in the shipment would you predict to be damaged if 6 MP3s in the sample had been damaged

Answers

Given that there is a little information I would say all is damaged.
Substitute values into the proportion.

Substitute known values. Let x be the number of defective MP3 players in the population.

6 / 50 = x / 3500

50 x 70 = 3500, so multiply the numerator and denominator of the fraction 6/50 by 70.

(6x70) / (50x70) = x / 3500

420 / 3500 = x / 3500

420 = x

Based on the sample, we can predict that 420 MP3 players in the shipment would be defective.

divide 56 in the ratio 5 3

Answers

I don't understand what you need.

But,

5 + 3 = 8

56/8 = 7

7*5 = 35
7*3 = 21

Hope this helps !

Photon
Hey there :)

The given value is 56

We need to divide in the ratio 5 : 3

We can do it this way:

5x + 3x = 56

8x = 56

[tex] \frac{8x}{8} = \frac{56}{8} [/tex]
8 and 8 cancels out

x = 7

5(7) : 3(7)
35 : 21

Quick help!! If you not sure of the answer PLEASE DON'T COMMENT

Answers

XYZ =  68/2 = 34

 Answer is B

Write an absolute value equation that has the solutions x=23

Answers

|x -23| = 0 has solution x=23.

Write the first four terms in the multiplication pattern given by the formula 10*5n


(The n is exponent)

Answers

Thay are:-
10*5^1, 10*5^2 , 10*5^3, 10*5^4

= 50, 250, 1250 and   6250 answer

What does the expression 12f + 24 represent?

Answers:

Answers

24 more than 12 times a number

Answer:

Option 1 : twenty four more than twelve times a number

Step-by-step explanation:

Given : 12f+24

To Find : What does the expression 12f+24 represents?

Solution:

The given expression : 12f+24

Option 1 : twenty four more than twelve times a number

The given expression 12f+24

This expression means 24 more than twelve times f

f is any number

So, we can say twenty four more than twelve times a number .

Thus Option 1 is correct

Option 2 :twenty four more than twelve plus a number

Let f be a number

So, (12+f)+24 is the obttained expression from option 2

Option 3 :twelve times the difference of number and twenty four.

Let f be a number

So, 12(24-f) is the obttained expression from option 3

Option 4 : twelve times the sum of a number plus twenty four

Let f be a number

So, 12(24+f) is the obttained expression from option 4

Thus option 1 represent the given expression 12f+24


Brian is playing a video game. He earns the same number of points for each star he picks up. He earns 2400 points for 6 stars, 4000 points for 10 stars, and 5,200 points for 13 stars. What is the independent and dependent value?

Answers

The dependent variable is the amount of points, it depends on the amount of stars collected.  The independent variable is the points each star is worth, it is worth the same no matter how many are collected. Each star is worth 400 points btw.

The point of intersection of the diagonals of a rectangle is 4 cm further away from the smaller side than from the larger side of the rectangle. The perimeter of the rectangle is equal to 56 cm. Find the lengths of the sides of the rectangle.

Answers

we have that
If you draw a diagram, and draw perpendiculars from the intersection to the sides of the rectangle, you will see they are the mid point of each side. 

see the attached figure

If the mid point of the smaller side is ---------> x.
The mid point of the larger side will be -----------> (x + 4) 
The full length if the smaller side will be 2x and the length of the larger side will be 2(x + 4) = 2x + 8 

The perimeter = 2 times the length + 2 times the width. 
2(2x + 8) + 4x = 56 
4x + 16 + 4x = 56 
8x = 40 
x = 5 
Therefore 
length = 2x + 8 = 18cm 
width = 2x = 10cm

the answer is
the lengths of the sides of the rectangle are
length = 18cm 
width = 10cm

Answer:

length is 18 and width is 10

Helene bought 6 bottles of juice. The bottles were on sale at 10 bottles for $12. Which explanation correctly tells how to calculate the cost of 6 bottles? A. Step 1 Multiply $12 by 10 to figure out the cost of 1 bottle. Step 2 Divide that cost by 6. B. Step 1 Divide $12 by 10 to find out the cost of 1 bottle. Step 2 Multiply that cost by 6. C. Step 1 Multiply $12 by 10 to find out the cost of 1 bottle. Step 2 Multiply that cost by 6. D. Step 1 Divide $12 by 10 to find out the cost of 1 bottle. Step 2 Divide that cost by 6.

Answers

she wanted to buy 6 bottles.
the cost of 10 bottles was $12.
therefore we need to find the cost of one bottle and then find the cost for 6 bottles.                                           
if 10 bottles cost - $ 12                                                                                  
then 1 bottle costs - $ 12 / 10 bottles
                                         
here we divided 12 by 10 , cost of 1 bottle is 12/10 to find the cost of 6 bottles we have to multiply by 6 .12 / 10 x 6
                                                                                 
correct answer is therefore B. divide 12 by 10 and then mulitply by 6
Answer:

Option: B is the correct answer.

B.   Step 1:  Divide $12 by 10 to find out the cost of 1 bottle.

Step 2 :  Multiply that cost by 6.

Step-by-step explanation:

The cost of 10 bottles is: $ 12.

This means that the cost of 1 bottle is:

$ (12/10)=$ 1.2

( Since the cost of  1 bottle will be less and hence the total cost must be divided by the number of items in order to obtain the cost of 1 item)

and similarly in order to find the cost of 6 items we need to multiply the cost of 1 item by 6.

Hence, cost of 6 bottles of juice is: $ (1.2×6)=$ 7.2

Hence, the correct answer is:

B.   Step 1:   Divide $12 by 10 to find out the cost of 1 bottle.

Step 2:   Multiply that cost by 6.

Find the value of each expression. Show your work.

18.) ₉P₃



Answers

We have to find the value of 9P3 which means the Permutations of 9 objects taken 3 at a time.

The formula of permutations is:

[tex]nPr = \frac{n!}{(n-r)!} [/tex]

In the given case n=9 and r=3. Using these values, we get:

[tex]9P3= \frac{9!}{(9-3)!} \\ \\ = \frac{9!}{6!} \\ \\ = \frac{9*8*7*6!}{6!} \\ \\ =9*8*7 \\ \\ =504 [/tex]

Thus 9P3 is equal to 504.

9! is expanded above using the following  factorial formula:

n! = n(n-1)(n-2)(n-3)....3.2.1

Answer:

The value of the expression is 504.

Step-by-step explanation:

We are given the expression [tex]9P3[/tex].

Now, [tex]9P3[/tex] represents the permutations of 9 objects which are taken 3 at a time.

Also, its value is given by,

[tex]9P3=\dfrac{9!}{(9-3)!}\\\\9P3=\dfrac{9!}{6!}[/tex],

where ! represents the factorial given by,

[tex]n!=n(n-1)(n-2)...3.2.1[/tex]

Thus, evaluating the expression, we get,

[tex]9P3=\dfrac{9!}{6!}\\\\9P3=\dfrac{9\times 8\times 7\times 6!}{6!}\\\\9P3=9\times 8\times 7\\\\9P3=504[/tex]

Thus, the value of the expression is 504.

A spinner has three sections. The table shows the results of spinning the arrow on the spinner 80 times.

What is the experimental probability of the arrow stopping over Section 1?
Section 1 Section 2 Section 3
28 36 16

Answers

Answer: [tex]\frac{7}{20}[/tex]

Step-by-step explanation:

From the given table, The number of times arrow comes results in section 1= 28

The total number of times spinner spins =80

Now, the experimental probability of the arrow stopping over Section 1 is given by:-

[tex]\text{P(Section 1)}=\frac{28}{80}=\frac{7}{20}[/tex]

Hence, the  experimental probability of the arrow stopping over Section 1 is [tex]\frac{7}{20}[/tex]

In in a random survey, 8 out of every 13 students were taking Pre-Algebra, how many students out of the larger population of 8,000 students would be taking Pre-Algebra?

Answers

4923 I believe. It would be 8/13 to find the ratio and then you would multiply that by 8000

check all that apply

Answers

Hi again!


You need to do the same steps I used for the other one.

x² < 81

Find the critical points of the inequality

x² = 81

Then take square root

x = [tex]\pm \sqrt{81} [/tex]

x = 9 or x = -9

Thus,


The answer is option B 9

Gaff has used 331/3 of his monthly minutes on his cell phone plan. If he already used 200 mintues, how many does he have left this month?

Answers

The first step to solve this problem is to compute for the total minutes allowable in his cell phone plan. To compute for this, you have to divide the number of minutes consumed by the fraction of the time consumed.

200 minutes / 33 1/3% = 600 minutes

To compute for the remaining minutes left for this month, you have to deduct the consumed minutes to the total allowable minutes in his plan.

600 minutes – 200 minutes = 400 minutes left

You roll a single die numbered from 1 to 6. What is the probability of rolling a number greater than 3 and then a number less than 3?

Answers

I think the answer is 1/3
Other Questions
Potassium-40 can decay into either calcium-40 or argon-40. All three of these atoms have essentially the same weight. Ninety percent of the potassium-40 will decay into calcium-40, and only ten percent will decay into argon-40. When argon-40 is produced by the radioactive decay of potassium-40 inside a rock, the argon-40 produced by the decay is a gas and is trapped inside the rock. The amount argon-40 trapped in a rock can be measured by grinding up the rock and capturing the liberated argon-40 gas.Suppose the amount of potassium-40 inside a rock is measured to be 0.81 milligrams, and the amount of argon-40 gas trapped in the rock is measured to be 0.377 milligrams.1.How much of the potassium-40 that was originally present inside the rock has undergone radioactive decay to produce argon-40? Why did President Lincoln want Grant to command the Union army after the Battle of Gettysburg? The principal objectives of the Populists were to _____. What was seen by many Americans as an escalation of the Vietnam War?the Pentagon Papersthe surrender of South Vietnamthe Gulf of Tonkin Resolutionthe 1970 bombing of Cambodia You observe heat, light, and sound released by a chemical reaction. This reaction is (2 points)absorbing energyconsuming energyexothermicendothermic A circle is drawn within a square as shown.What is the best approximation for the area of the shaded region?Use 3.14 to approximate pi.21.5 cm78.5 cm100 cm178.5 cm2 A diver who is 10.0 meters underwater experience has a pressure of 202 kPa. If the divers surface area is 1.50 meters squared, with how much total force does the water push on the diver? A farmer wishes to fence a rectangular area behind his barn. The barn forms one end of the rectangle and the length of the rectangle is three times the width. How many linear feet of fence must he buy if the perimeter of the rectangle is 320 feet? In photosynthesis, the electron that travels through the electron transport chain in the thylakoid membrane comes from _____ . In cellular respiration, a molecule of _____ supplies the electron that travels through the electron transport chain.1.A. ATPB. Carbon DioxideC. WaterD. NADH2.A. ATPB. Carbon DioxideC. WaterD. NADH find the mean and median of these numbers 14, 3, 15, 4, 3, 11 A jogger ran 3 miles due east of his house. then he ran 5 miles at a heading of 30o east of north (or 30o ne). how far is he from his house after running 8 miles Help plz? 15. The___hypothesis suggests that our solar system evolved from a huge rotating cloud of dust and gas. 16. Lines of____are used to measure distances east or west of the prime meridian in degrees. 17. The major difference between a topographic map and other maps is that a topographic map shows ___, Why did the presidential election of 1876 signal the end of Reconstruction? The sun is 25 degrees above the horizon. find the length of a shadow cast by a building that is 100 feet tall. round your answer to two decimal places. the length of the shadow is ____ feet. Rick is looking to put some money in a savings account with a 3.8% interest rate. he currently has $4,780 saved, and he is trying to save $5,800. what else does rick need to know in order to determine which savings account to choose? Draw 4 circle shade 2 circle A 0.210 mol sample of pcl5(g) is injected into an empty 2.45 l reaction vessel held at 250 c. calculate the concentrations of pcl5(g) and pcl3(g) at equilibrium. A patient with a neurodegenerative disease shows degeneration of the ___________, making them more likely to forget a(n) _________________ event. Suppose that y varies inversely with x. Write a function that models the inverse function. X= 15 when y= 2 Please help me! I'm so lost t-t!!Factor completely. x^28x+15 Enter your answer in the box.