A hotel offers a reward program based on the number of nights stayed. The function f(x) represents the number of free nights earned as a function of x, the number of nights stayed.

f(x) = Left-bracket StartFraction x Over 10 EndFraction right-bracket

Which describes the meaning of f(x)?

A Hotel Offers A Reward Program Based On The Number Of Nights Stayed. The Function F(x) Represents The

Answers

Answer 1

Answer:

A customer earns one free night per 10 nights stayed.

Step-by-step explanation:

A hotel offers a reward program based on the number of nights stayed. The function f(x) represents the number of free nights earned as a function of x, the number of nights stayed.

Here, [tex]f(x) = \frac{x}{10}[/tex] ........... (1)

In the above equation if we put x = 10 nights then f(10) = 1 night.

From, the equation (1) we get that a customer earns one free night per 10 nights stayed. (Answer)

Answer 2

The correct option is A. a customer will earn 1 free night per 10 night stayed.

Given,

[tex]f(x)=\dfrac{x}{10}[/tex]..........equation (1) .

Since the hotel offers a reward program based on the number of nights stayed. The function [tex]f(x)[/tex] represents the number of free nights earned as a function of [tex]x[/tex], the number of nights stayed.

From equation (1), it is clear that  f(x) is the one- tenth times  of x. it means the customer will earn 1 free night per 10 night stayed.

Hence the correct option is A. a customer will earn 1 free night per 10 night stayed.

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Related Questions

A jar contains n nickels and d dimes. There are 24 coins in the jar, and the total value of the coins is $1.90. How many nickels and how many dimes are in the jar?

Answers

Answer:14 dimes 10 nickels

Step-by-step explanation:

24 coins total

14 X.10 = 1.40

10 x .05 = .50

1.40 + .50 = 1.90

Suppose that a randomly generated list of numbers from 0 to 9 is being used to simulate an event that has a probability of success of 60%. Which of these groups of numbers could represent a success?
A. 0, 1, 2, 3, 4, 5, 6
B. 0, 1, 2, 3, 4, 5, 6, 7
C. 0, 1, 2, 3, 4, 5, 6, 7, 8
D. 0, 1, 2, 3, 4, 5

Answers

Answer:

.0,1,2,3,4,5,6,7,8

The group which represents a success is D. 0, 1, 2, 3, 4, 5.

What is Probability?

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

a randomly generated list of numbers from 0 to 9 is being used to simulate an event that has a probability of success of 60%.

Total outcomes which are numbers from 0 to 9 = 10

If the probability of success is 60%,

P(success) = 60/100 = 6/10

That is, 6 numbers out of 10 are the outcomes which leads to success.

The correct option is D. 0, 1, 2, 3, 4, 5, which is the only option containing 6 numbers.

Hence the correct option is D.

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A cylinder has volume 78 cm3 . What is the volume of a cone with the same radius and height? A 26 cm3 B 39 cm3 C 156 cm3 D 234 cm3

Answers

Answer:

Option A - [tex]26 \mathrm{cm}^{3}[/tex]

Step-by-step explanation:

Given: The volume of a cylinder = [tex]78 \mathrm{cm}^{3}[/tex]

Let us substitute the volume of cylinder in the formula.

The formula for volume of a cone is [tex]V=\frac{\pi r^{2} h}{3}[/tex]                    (1)

The formula for volume of a cylinder is [tex]V=\pi r^{2} h[/tex]              (2)

Substituting [tex]V=78[/tex] in equation (2), we get,

[tex]\begin{array}{c}{V=\pi r^{2} h} \\{78=\pi r^{2} h}\end{array}[/tex]

Given that the cone has the same radius and height of that of the cylinder, let us substitute [tex]78=\pi r^{2} h[/tex] in equation (1)

[tex]\begin{array}{l}{V=\frac{\pi r^{2} h}{3}} \\{V=\frac{78}{3}} \\{V=26}\end{array}[/tex]

Thus, the volume of a cone with the same radius and height of a cylinder is [tex]26 \mathrm{cm}^{3}[/tex].

The volume of the cone is 26 cubic centimeters.

A cylinder has a volume of [tex]78 \;\rm{cm}^3[/tex].

We need to determine the volume of a cone with the same dimensions compared to a cylinder.

Now,

The formula for finding the volume of the cylinder is [tex]\pi r^2h[/tex].

The formula for finding the volume of the cone is [tex]\dfrac{1}{3}\pi r^2h[/tex].

Therefore, the volume of the cylinder is thrice the volume of the cone if we consider the same dimensions.

Thus,

[tex]\begin{aligned} 3 \times \rm{volume\;of\;the\;cone}&=78\;\rm{cm^3}\\&=26\;\rm{cm^3} \end{aligned}[/tex]

Hence, the volume of the cone is 26 cubic centimeters.

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Riley drink 4/5 quart of iced tea and her friend drink 0 3/10 quart how much more of a quart of iced tea did Riley drink than her friend

Answers

Answer:

[tex]\frac{1}{2}[/tex] quart

Step-by-step explanation:

Given:

Riley drink 4/5 quart of iced tea

And her friend drink 0 3/10 quart of iced tea

Question asked:

how much more of a quart of iced tea did Riley drink than her friend = ?

Solution:

Riley drank of iced tea = [tex]\frac{4}{5}[/tex]

Her friend drank of iced tea = [tex]0\frac{3}{10}[/tex]

                                                = [tex]\frac{3}{10}[/tex]

We will subtract the share of her friend from Riley's share

Riley drank more than her friend =[tex]\frac{4}{5} - \frac{3}{10}[/tex]  

                                                     = [tex]\frac{5}{10}[/tex]

                                                     =    [tex]\frac{1}{2}[/tex]

Thus, Riley drank [tex]\frac{1}{2}[/tex]  quart more than her friend.

Final answer:

Riley drank 1/2 quart more iced tea than her friend, which is the difference between 4/5 quart and 3/10 quart.

Explanation:

The question asks how much more of a quart of iced tea did Riley drink than her friend. Riley drank 4/5 quart and her friend drank 3/10 quart. To find out the difference, we subtract the smaller amount from the larger amount:

4/5 quart - 3/10 quart = 8/10 quart - 3/10 quart = 5/10 quart or 1/2 quart.

Therefore, Riley drank 1/2 quart more iced tea than her friend.

Can someone explain how to do this page I wasn't there when my teacher explained it

Answers

Answer:

You have to solve for the letter

Step-by-step explanation:

For example, Q5 is 40 - 5n = -2.

You subtract 40 from -2 and get -42 then you have 5n = -42.You divide 5 to -42 so [tex]\frac{-42}{5}[/tex].The answer is -8.4.

*Use a calculator if necessary.*

~Hope this is helps (.^.)~

The sum of twice a number and half the number is 10.
how would i write the equation?
66pts

Answers

Hello there i hope you are having a good day :) Your question : The sum of twice a number and half the number is 10.

Answer would be : 2x + x/2 = 10

Hopefully that helps you ❤

                                 

Answer:

2x+x/2 = 10

Step-by-step explanation:

x is the unknown value.

2x would be used to represent the unknown value of twice that number.

/2 would be used to represent half the number.

Hope this helps you!

9.360 seconds= How many hours?

Answers

Answer:

0.0026 mark brainliest

Step-by-step explanation:

Answer:

2.6 hours

Step-by-step explanation:

9360 second divide by 60 to get minutes

156 minutes divided by 60 to get hours

2.6 hours

A triangle has an angle that measures 110°. The other two angles are in a ratio of 2:5. What are the measures of those two angles?

Answers

Answer:

20 and 50

Step-by-step explanation:

the angles of a triangle add up to 180 degrees.

so if 1 angle is 110, then the other two angles combined, add up to (180 - 110) = 70.

the other two angles are in a ratio of 2:5....added = 7

meaning 1 angle is 2/7 of total measure and the other angle is 5/7 of the measure

so one angle is : 2/7 of 70 = 2/7 * 70 = 140/7 = 20 <==

and the other one is 5/7 of 70 = 5/7 * 70 = 350/7 = 50 <==

180-110 =70
2:5= 2+5=7
70 ÷ 7 = 10
2 x 10 =20
5 x 10 = 50
Angles = 20:50

Picture attached please help!! I don't understand these questions.

Answers

Answer:

a, e

Step-by-step explanation:

a. function A has a slope of -2/3. the negative means it goes down. function B is going down on the graph so both functions have neg. rates of change.

b. function A's slope is -2/3. function b has a slope of -1.

c. since both functions slopes aren't the same they are not parallel.

d. 2/3 is a lesser rate of change than 1.

e. looking at the graph, function b is linear. A is linear since the "x" is not squared, cubed, etc.

If 5x - 3y = 1 and x = 2y - 4, then x • y = ?

I don’t need an explanation of the answer since it’s multiple choice, but feel free to give an explanation if you want :) thank you and please answer quickly this is due tomorrow!!

Answers

Answer:

x = 2,  y = 3

Step-by-step explanation:

i) It is given that 5x - 3y =1

ii) It is also given that x = 2y - 4

iii) we can substitute the value of x from ii) in the equation in i) and we will get 5(2y - 4) - 3y = 1   ⇒ 10y - 20 -3y =  1   ⇒  7y = 21  ∴ y = 3

iv) substituting the value of y obtained in ii) we get x = (2 × 3) - 4 = 6 - 4 = 2.

v) Therefore x = 2.

how to solve u/5+3=1

Answers

First subtract 3: u/5 = -2

Now, because u is divided by 5, we can multiply by 5 to get u on its own.

u = -10

To check, -10/5 + 3 = 1

-2 + 3 = 1

1 = 1

This leaves us with a true statement, so the answer is correct.

How do you solve 9+x/9=7/3

Answers

Answer:

-60

Step-by-step explanation:

9+x/9=7/3

x/9=7/3-9

x/9=7/3-27/3

x/9=-20/3

x=(-20/3)(9)

x=-180/3

x=-60

The sum of two numbers is 15. The first number is half of the second number. What are the two numbers?

Answers

Answer:

10 5

Step-by-step explanation:

10 ÷ 2 = 5 and 5 + 10 = 15

Answer:

5 and 10

Step-by-step explanation:

X×Y=15

X=15-Y

X=Y/2

Y/2=15-Y

Add Y to both sides

3Y/2=15

3Y=30

Y=10

X=5

In circle A, ZBAE = ZDAE.
What is the length of BE?
O
O
14 units
17 units
27 units
34 units
V
3x-24

Answers

Incomplete question the complete question with the diagram is given below.

Answer:

The Correct option is second one 17 units.

Therefore the Length of BE is 17 units.

Step-by-step explanation:

Given:

∠BAE = ∠DAE

BE = 3x - 24

DE = x + 10

To Find :

Length of BE = ?

Solution:

∠BAE = ∠DAE        .........Given:

As Chords that subtend congruent angles are congruent. That is equal angles subtends equal chords.

So , the chord BE and DE are equal

Substituting the values we get

[tex]BE=DE\\3x-24=x+10\\2x=34\\\\x=\dfrac{34}{2}=17\\\\x=17\ units[/tex]

Therefore the Length of BE is 17 units.

Answer:

Answer is C

Step-by-step explanation:

edge 2021

1/4 of 1% expressed as a decimal

Answers

Answer:

0.0025

Step-by-step explanation:

:)

1/4 of 1%, when expressed as a decimal, is equal to 0.0025

What do we mean by percentage?

A percentage is a ratio with the second part always equal to 100. It represents parts per hundred.

How do we solve the given question?

We have been given 1%.

We replace percentage in fraction, and then fraction to decimal.

1% = 1/100 = 0.01

Now, we need to calculate 1/4th of this value, that is, 0.25 multiplied by the above value,

= 0.25 * 0.01 = 0.0025

So, our answer is 0.0025.

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Solve
A = P + PrT for A, given that P = $950,r = 3 1/2%, and t = 10 years.

Answers

Answer:

10 days the balance is $1,000, but then the balance drops to $950.

Step-by-step explanation:

For the first 10 days the balance is $1,000, but then the balance drops to $950.

what of the following is not a characteristic of all parallelograms diagonals bisect each other be opposite angles are congruent C diagonals are angle bisectors deep is the sides are congruent​

Answers

Final answer:

The correct option that is not a characteristic of all parallelograms is C, 'diagonals are angle bisectors,' as it does not apply to every parallelogram, unlike the other options listed.

Explanation:

The question is related to the properties of parallelograms, and specifically, it asks which option is not a characteristic of all parallelograms. To answer this, we must review the properties of parallelograms:

Diagonals bisect each other.Opposite angles are congruent.The sides are parallel, but not necessarily congruent.

Option A (Diagonals bisect each other) and Option B (Opposite angles are congruent) are indeed true characteristics of parallelograms. However, diagonals being angle bisectors is not a general characteristic of all parallelograms, making it incorrect for Option C. Finally, Option D (The sides are congruent) describes a property specific to a rectangle or a rhombus rather than all parallelograms. Thus the correct answer is C, diagonals are angle bisectors, as it is not a defining feature for all parallelograms. Parallelograms have diverse shapes like rectangles, squares, and rhombi, and this property doesn't apply universally.

PLEASE HELP ME

Describe the sequence of transformations that maps triangle XYZ onto triangle X”Y”Z”.

Answers

Answer:

the sequence of transformations that maps triangle XYZ onto triangle X”Y”Z” are

i) reflect the the triangle about the x- axis.

ii) shift the result of i) by 1 upwards

iii) shift the result of ii) by 5 to the left

Step-by-step explanation:

the sequence of transformations that maps triangle XYZ onto triangle X”Y”Z” are

i) reflect the the triangle about the x- axis.

ii) shift the result of i) by 1 upwards

iii) shift the result of ii) by 5 to the left

PLEASE HELP ME

Describe the sequence of transformations that maps triangle XYZ onto triangle X”Y”Z”.

Answers

Answer:

The sequence of transformations that maps triangle XYZ onto triangle X"Y"Z" is translation 5 units to the left, followed by translation 1 unit down, and relfection accross the x-axis.

Explanation:

By inspection (watching the figure), you can tell that to transform the triangle XY onto triangle X"Y"Z", you must slide the former 5 units to the left, 1 unit down, and, finally, reflect it across the x-axys.

You can check that analitically

Departing from the triangle: XYZ

Translation 5 units to the left: (x,y) → (x - 5, y)

Vertex X: (-6,2) → (-6 - 5, 2) = (-11,2)Vertex Y: (-4, 7) → (-4 - 5, 7) = (-9,7)Vertex Z: (-2, 2) → (-2 -5, 2) = (-7, 2)

Translation 1 unit down: (x,y) → (x, y-1)

(-11,2) → (-11, 2 - 1) = (-11, 1)(-9,7) → (-9, 7 - 1) = (-9, 6)(-7, 2) → (-7, 2 - 1) = (-7, 1)

Reflextion accross the x-axis: (x,y) → (x, -y)

(-11, 1) → (-11, -1), which are the coordinates of vertex X"(-9, 6) → (-9, -6), which are the coordinates of vertex Y""(-7, 1) → (-7, -1), which are the coordinates of vertex Z"

Thus, in conclusion, it is proved that the sequence of transformations that maps triangle XYZ onto triangle X"Y"Z" is translation 5 units to the left, followed by translation 1 unit down, and relfection accross the x-axis.

The surface area of a tabletop is 5760 square inches. Which expression shows this number in scirntific notation?

Answers

Answer:

Scientific notation = 5.76 x 10³ square inches

Step-by-step explanation:

Standard notation = 5,760 square inches

Scientific notation = 5.76 x 10³ square inches

need help! extra points.
Which two angles are alternate interior angles?

Answers

Answer:

3 and 2

7 and 6

are the alternate interior angles.

Show work please I don’t understand it.

Answers

Answer:

2<6

Step-by-step explanation:

2(n+3)-4

(2n + 6)-4

2n + 2

--------(both can be divided by 2)

2      2

n=2

2<6

the second line the the last  i believe im not so sure about the graphing but i hope starting you off with 2<6 helps

The bodega offers two deals on chicken nuggets. In deal #1 you can buy 5 chicken nuggets for $7.50. In deal #2 you can buy 8 chicken nuggets for $10.00. In which deal is each chicken nugget cheaper.

Answers

Answer:

The 2nd deal is better

Step-by-step explanation:

First you divide the chicken nuggets by the price and then find how much one chicken nugget costs. In this case $10 divided by 8 is $1.25 while $7.50 divided by 5 is $1.50. The first deal costs more for one chicken nugget so deal 2 is better

Answer:

deal 2 is better the chicken nuggets are cheaper and you could have more chicken nuggets even though it cost more then deal 1, 1 chicken nugget is cheaper in deal 2 than it is in deal 1 so I think you should go for deal 2 Hope I Helped :)

Step-by-step explanation:

whats the square root of 64

Answers

Answer:

The square root of 64 is 8.   8*8=64

Hope this helps,  

:)

Tavon has a gift card for $ 155 that loses $ 3.50 for each​ 30-day period it is not used. He has another gift card for $ 135 that loses $ 3 for each​ 30-day period it is not used.
a. Write and solve an equation for the number of​ 30-day periods until the value of the gift cards will be equal.
b. What will the value of each card be when they have equal​ value?

Answers

Answer:

A) 40

B) $ 15

Step-by-step explanation:

A)An equation for the number of​ 30-day periods until the value of the gift cards will be equal

Let x be the number of time periods for which the gift card is not used, then

For the gift card $ 155 if it is not used for x periods, then the amount that will be lost is

155 - 3.50 x---------------------(1)

For the gift card $ 135 if it is not used for x periods, then the amount that will be lost is

135 - 3x---------------------- (2)

Now when both the amount lost is equal

[tex]155 - 3.50x = 135 - 3x[/tex]

solving the equation, we get

[tex]155 -135 = -3x + 3.50x[/tex]

20 =  0.5x

[tex]x = \frac{20}{0.5}[/tex]

x = 40

Thus the value of gift cards will be equal for 40 ,30 day periods.

B)The value of each card be when they have equal​ value

The two cards  will have equal value after 40 30 day periods, this denotes that at this time, the value of each card will be equal.

Then

[tex]155 - 3.50x = 135 - 3x[/tex]

substituting  x = 40, we get

[tex]155 - 3.50(40)= 135 - 3(40)[/tex]

[tex]155 - 140= 135 - 120[/tex]

[tex]15 =15[/tex]

when they have equal​ value, the value of each card will be $15

How do use distributive property for -2.5(4x-8)+1.2(5x-1)

Answers

Answer:

Step-by-step explanation:

hiro thinks -5 = -5 is hiro thinking correct

Answers

Yes because -5 does equal -5

In 2004, about $38 out of every $100 spent on advertising was spent on television advertising. The amount spent on radio advertising was about 21% as much as was spent on television advertising. How much of every $100 spent on advertising was spent on radio advertising?

Answers

Answer:

$8

Step-by-step explanation:

Given: Television advertising= $38 out of every $100 spent on advertising.

           Radio advertising= 21% as much as was spent on television ads.

As given there are $38 spent on television ads on every $100 of advertising.

∴ Amount spent on television ads= [tex]\frac{38}{100}[/tex]

Now, finding amount spent on radio advertising on every $100 spent on advertising.

We know, The amount spent on radio advertising was about 21% as much as was spent on television advertising.

∴ Amount spent on radio advertising= [tex]\frac{38}{100} \times \frac{21}{100}[/tex]

⇒ Amount spent on radio advertising= [tex]\$ 0.0798[/tex]

To know the amount spent on radio advertising on every $100 spending on advertising.

Amount spent on Radio advertising on every $100 spending= [tex]0.0798\times 100= \$ 7.98 \approx \$ 8[/tex]

Hence, $8 spent on radio advertising on every $100 spending.

About $7.98 out of every $100 spent on advertising was allocated to radio advertising, based on the information that $38 out of every $100 was used for television advertising and radio advertising accounted for 21% of the television advertising amount.

In 2004, about $38 out of every $100 spent on advertising was spent on television advertising. To find out how much of every $100 was spent on radio advertising, which was about 21% as much as was spent on television advertising, we apply the following calculation:

Amount spent on radio advertising = Television advertising amount × (Radio advertising percentage / 100)

Amount spent on radio advertising = $38 × (21 / 100)

Amount spent on radio advertising = $7.98

Therefore, $7.98 out of every $100 spent on advertising was spent on radio advertising.

Graph the equation by plotting three
points. If all three are correct, the line
will appear.
-3y = 2x - 7

Answers

Answer:

Step-by-step explanation:

there's your graphed line
credits to desmos graphing calculator

Sandy is upgrading her Internet service. Fast Internet charges $45 for installation and $49.45 per month.
Quick Internet has free installation but charges $56.95 per month.
Part 1 out of 2
Complete the equation that can be used to find the number of months after which the Internet service
would cost the same. Use the variable x to represent the number of months of Internet service purchased.
The equation is
___+___=___

Answers

Answer:

x = 6 months.

The equation is given by $45 + ($49.45 × x) = ($56.95 × x).

Step-by-step explanation:

i) Let x be the number of months of Internet Service purchased till the Fast

  Internet charges and Quick Internet charges become the same.

ii) Charges for Fast Internet for x months is given by $45 + ($49.45 × x)

iii) Charges for Quick Internet for x months is given by ($56.95 × x)

iv) According to the first statement we will now equate the equations in ii)  

   and iii) and solve for x.

   Therefore, $45 + ($49.45 × x) = ($56.95 × x)

                      45 + 49.45 x  =  56.95 x

  Therefore  (56.95 - 49.45) x = 45

                    7.50 × x  =  45

  Therefore x = 45 ÷  7.5 = 6

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