5 parents and 3 children cost £ 13.20
2 parents and 1 child cost £ 5.10
Find the cost of 1 child
Find the cost of 1 parent

Answers

Answer 1

Answer:

The cost of 1 child is £ 3.40 and the cost of 1 parent is £ 4.10. To determine this, we can use the following equation:

Cost of 1 child = (13.20 - 5.10) / (5 parents + 3 children)

Cost of 1 parent = (13.20 - 5.10) / (2 parents + 1 child)

Hope this helps!

Step-by-step explanation:


Related Questions

What is the equation of the line parallel to the line 3x + 2y = 7 passing through the point (–1 , 3)?

Answers

Answer:

idont

Step-by-step explanation:

2.6.2 Test (CST): Functions and Relations
Question 7 of 25
The function h(x) = -x] is a transformation of the absolute value parent
function, f(x) = [x]. Which graph shows h(x)?

Answers

Answer:

b

Step-by-step explanation:

The graph that shows the function h(x) = -x] which is a transformation of the absolute value parent function, f(x) = [x] is Option C.

The graph of the function h(x) = -x] is the reflection of the graph of f(x) = [x] about the x-axis. The graph of f(x) is piecewise defined as follows:

f(x) = x, when x ≥ 0f(x) = -x, when x < 0

The graph of h(x) will have the same shape as f(x), but with all the y-values negated, so:

h(x) = -x, when x ≥ 0h(x) = x, when x < 0

The graph of h(x) will thus be a downward-facing step function, with steps at x = 0, moving from -x to x as x moves from negative to non-negative values. Thus, Option C is correct.

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write days in May to days in a year as a ratio.

Answers

Answer:

Step-by-step explanation:

Days in may = 31

Days in a year = 365

therefore, expected ratio = 31/365

What’s the area of a square is all sides are 6 feet long?

Answers

Answer:

36 sq ft

Step-by-step explanation:

The area of a square is equal to the length of one side squared. Therefore, if all sides of a square are 6 feet long, the area of the square is 6 feet * 6 feet = 36 square feet.

Answer:

36

Step-by-step explanation:

you multiply just two of the sides hxw and you get your answer

A= v-u/ t

v = 37. 6 correct to 3 significant figures.

u = 11. 3 correct to 3 significant figures.

t = 8. 4 correct to 2 significant figures.


Work out the upper bound for the value of a.

Show your working clearly

Answers

The upper bound of a is 3.13.

Upper Bound

The smallest amount that would round up to the following anticipated value is the upper bound.

Significant Figures

The number of digits that contribute to a value's level of precision is known as significant figures and is typically found in measurements. As soon as a digit is non-zero, we begin calculating significant numbers.

Given in the question

v = 37. 6

u = 11. 3

t = 8. 4

To find:- a = (v - u)/t

Solution: -

Since finding the upper boundary for a

Upper boundary =  (upper v - lower u) / (lowest t)

So putting the value values of v, u, t in we get the value

a = (37.6 - 11.3) / 8.4

Therefore the value of a = 3.13

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Match each power of a power expression with its simplified expression.
(4-3)-3
(46)-3
(49)-9
(-49)²


1
418
49
(-4)18
40
need to know which one goes to which

Answers

Answer:

(4^6)^-3 = 1/4^18(4^0)^-9 = 4^0(4^-3)^-3 = 4^9(-4^9)^2= (-4)^18Step-by-step explanation:(4^6)^-3 = 1/4^18(4^6)^-3= 4^(6*-3)(4^6)^-3= 1/4^18(4^0)^-9 = 4^0(4^0)^-9 = 4^(0*-9)(4^0)^-9= 4^0(4^-3)^-3 = 4^9(4^-3)^-3= 4 ^ (-3*-3)(4^-3)^-3 = 4^(9)(-4^9)^2= (-4)^18(-4^9)^2= -4^(9*2)(-4^9)^2=(-4)^18

Step-by-step explanation:

Answer:

[tex](4^{-3})^{-3}=4^9[/tex]

[tex](4^6)^{-3}=\dfrac{1}{4^{18}}[/tex]

[tex](4^0)^{-9}=4^0[/tex]

[tex](-4^9)^2=(-4)^{18}[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{3 cm}\underline{Exponent Rules}\\\\$(a^b)^c=a^{bc}$\\\\$a^{-n}=\dfrac{1}{a^n}$\\\end{minipage}}[/tex]

Apply the above exponent rules to simplify each expression.

[tex]\begin{aligned}\implies (4^{-3})^{-3}&=4^{-3 \times -3}\\&=4^9\end{aligned}[/tex]

[tex]\begin{aligned}\implies (4^6)^{-3}&=4^{6 \times -3}\\&=4^{-18}\\&=\dfrac{1}{4^{18}}\end{aligned}[/tex]

[tex]\begin{aligned}\implies (4^0)^{-9}&=4^{0 \times -9}\\&=4^0\end{aligned}[/tex]

[tex]\begin{aligned}\implies (-4^9)^2&=(-4)^{9 \times 2}\\&=(-4)^{18}\end{aligned}[/tex]

Find the domain and range of the graph

A. D: X ≤ 5
R: y ≤ 7


B. D: X ≤ 7
R: y ≤ 5

C. D : X < 5
R: y < 7

D. D: X < 7
R: y < 5

Answers

General Formulas and ConceptsAlgebra I

Domain

The set of x-values that can be inputted into function f(x)

Range

The set of y-values that are outputted by function f(x)

Interval Notation

ApplicationStep 1: Define

Let's organize what is given to us from the problem.

We are given a graph of a function.

Step 2: Solve

We need to analyze the graph to determine the domain and range of the graph.

If we take a look at our x values, we see that our graph starts at x = 3 and continues infinitely.

∴ we can write the graph's x-values as [3, ∞), or x ≥ 3.

⇒ The domain of the graph is equal to x ≥ 3.

If we take a look at our y values, we see that our graph begins at y = 1 and also continues infinitely.

∴ we can write the graph's y-values as [1, ∞), or y ≥ 1.

⇒ The range of the graph is equal to y ≥ 1.

Answer

∴ the answer to the question is equal to:

A. D: x ≥ 3

    R: y ≥ 1

___

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___

Topic: Algebra I

Unit: Functions

A 140 meter rope is cut into two pieces. One piece is four time as long as the other. How long is each piece? Solve using substitution or elimination.

Answers

Answer:

28 m,  112 m

Step-by-step explanation:

x = length of short piece

4x = length of long piece

x + 4x = 140

5x = 140

x = 140/5 = 28

4x = 4(28) = 112

What is called composite function?

Answers

A composite function is a type of function that is made up of two or more other functions. It is created by combining two or more functions together. The resulting function can be written as a single expression, or as a composition of multiple functions.

A composite function is a type of function that is formed by combining two or more other functions. It is created by combining two or more functions together using the mathematical operations of addition, subtraction, multiplication, division, or composition. The resulting function can be written as a single expression, or as a composition of multiple functions. A composite function is often used to simplify a complex problem, or to manipulate and analyze data. For example, if a data set contains two sets of data, a composite function could be used to combine the two sets of data into a single expression. Additionally, composite functions can be used to solve problems that involve multiple variables, as the resulting function can be used to represent the relationship between the variables. Furthermore, composite functions can be used to create graphs, which can be used to further analyze the data.

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What is the opposite reciprocal of 0/6

Answers

Answer: The reciprocal of a number is defined as 1 divided by that number. The opposite of a number is the number with the opposite sign. Therefore, the opposite reciprocal of a number is equal to the reciprocal of the opposite of that number.

In this case, the opposite reciprocal of 0/6 is the reciprocal of the opposite of 0/6. The opposite of 0/6 is 0/-6, which is equal to -0/6. The reciprocal of -0/6 is 1/(-0/6) = -6/0.

However, division by 0 is not defined, so it is not possible to find the reciprocal of -0/6. Therefore, the opposite reciprocal of 0/6 is undefined.

Step-by-step explanation:

Answer:

there is no reciprocal for 0/6

Step-by-step explanation:

What would the approximate amperage setting be if a welder were set to the high range (150 to 350 amps) and the fine adjustment knob were painting at 5 on a 10 point scale

Answers

On solving the provided question, we can say that the approximate amperage setting be if a welder were set to the high range would be 350 amps.

What is range?

The variable's range is obtained by finding its largest observed value (maximum) and subtracting its smallest observed value (minimum). Variational bounds or possible range: various steel prices; various styles; The extent or magnitude of a procedure or action: insight. the maximum or expected range of a weapon's projectile. The range of a list or set is the number between the minimum and maximum. Prior to identifying the region, align all the numbers. Remove (remove) the lowest number from the highest number next. The list's range is provided in the solution.The solution provides the list's range.

here,

the approximate amperage setting be if a welder were set to the high range would be 350 amps

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An item is regularly priced at $90. It is now priced at a discount of 40% off the regular price. What is the price now?

Answers

To find the price after the discount, you need to first calculate the discount amount. You can do this by multiplying the regular price by the discount percentage: $90 * 0.4 = $36.

Then, you can subtract the discount amount from the regular price to find the discounted price: $90 - $36 = $54.

So, the price of the item after the discount is $54.

Answer:

Price after discount is $54

You save $36

Step-by-step explanation:

Write an equation using the explicit formula to represent each graph or scenario then rewrite the formula in function form

Answers

The exponential function's y-intercept is 3, while the linear function's y-intercept is 20. The y-intercept for each is obtained by substituting 0 for x in each case.

what is equation ?

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

given

The first function is linear, with a y-intercept of 20, and a slope of 4:

S(x)=4x+20

The second function is exponential and has a multiplier of 2 and an initial value of 3:

J(x)=3(2)x

The game number for each function is represented by x, while the score for each game is represented by y. Each has a domain of 0, 1, 2, 3, 4, 5, 6, 7 and 8.

The exponential function's y-intercept is 3, while the linear function's y-intercept is 20. The y-intercept for each is obtained by substituting 0 for x in each case.

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If a is 200% of b, what percent of 5a is 4b?

Answers

250% (percent) of 5a is 4b.

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100.

here, given that,

a is 200% of b

i.e. a=2b

Now, 5a=10b

So, we have,

5a/4b

=10b/4b

=5/2

=250%

Hence, 250% (percent) of 5a is 4b.

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Which milk product will have approximately 15.36 grams of milk fat in an 80-gram serving?(Heavy Cream: 36.7%, Light Cream 19.2%, Whole Milk 3.5%, Low-Fat Milk 1.5%, Skim Milk 0.05%)

Answers

The Light cream with 19.2% content will have 15.36g of milk.

What are percentages?

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”

Given here Light cream as 19.2% of 80g

∴ 0.192×80=15.36g

Hence, The Light cream with 19.2% content will have 15.36g of milk.

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How do you graph 3 variable lines?

Answers

Three variable lines are drawn in the three dimensional coordinate system.

What is 3 dimensional coordinate plane?

Three-dimensional coordinate system is also called rectangular coordinate system. The system has three reference axes named X, Y and Z axis which are perpendicular to each other.

The above three axes intersect at the origin.

In the analytical geometry, location of each point is represented by three coordinate system. They give mathematical statement by using three-dimensional space.

How do we graph 3 variable lines?

In order to plot in the three-dimensional plane, we need to determine the value of x, y and z. At first, we start from the origin and approach to the positive x direction if our x value is positive, otherwise we need to go to the negative x direction. After identifying the x coordinate, we need to move parallel to y direction and locate the y coordinate and finally we identify the z coordinate in the same way. In the last, we will join the points.

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What is the product 4y 3 )( 2y^2 3y 5?

Answers

The product for the given polynomial is [tex]8y^5 + 6y^4 + 20y^3.[/tex]

When multiplying two polynomials, it is important to keep track of the exponents of each term. The exponents will determine the degree of the resulting polynomial. To find the product, you multiply each term of the first polynomial by each term of the second polynomial, then combine like terms.

In this case, the first polynomial is 4y^3 and the second polynomial is 2y^2 3y 5. To find the product, you would multiply 4y^3 by 2y^2, 4y^3 by 3y, and 4y^3 by 5. This would give you 8y^5, 12y^4, and 20y^3. Since these are the only terms in the product, you simply add them together to get the final answer of [tex]8y^5 + 6y^4 + 20y^3.[/tex]

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I HAVE A F PLEASE HELP ASAP 100 POINTS

Answers

It’s the relationship of X

Dollhouse furnishing comes in different sizes depending on the size of the dollhouse. Write a ratio of the size of the dollhouse item to the size of the larger item.

dollhouse sofa: 1 1/2 in. Long

real sofa: 6 ft long

Answers

The ratio of the size of the dollhouse item to the doll house is 14 : 9.

What are ratios?

When b does not equal 0, an ordered pair of numbers a and b, represented as a / b, is said to be a ratio.

                        A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as 1: 3 (for every one boy, there are three girls), which means that 14 of the population is made up of boys and 34 of the population is made up of girls.

                             The ratio is a mathematical expression that can be used to represent one item as a percentage of another.

First convert feet to inches

1 feet = 12 inches

12 x 6 = 72 inches

dollhouse item : doll house

112 : 72

14 : 9

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The ratio of cassettes tapes to compact discs is 5 to 2, and the number of cassette tapes is 10 less than 5 times the number of compact discs. How many cassette tapes are there

Answers

There are 4 cassette tapes.

Given that,

Let x be the number of compact discs

Then 5 times the number of CD's= 5x and 10 less than 5 times the number of CDs is 5x-10

Therefore the number of cassettes is 5x-10

Now we are told that the ratio of cassettes to CDs which is

((5x-10)/x) equals 5/2 so our equation to solve is:

(5x-10)/x=5/2 multiply both sides by 2x to get rid of the fractions and we get:

2(5x-10)=5x

Further solving this equation, we get:

10x-20=5x

5x=20

x= 4 (number of compact discs)

Thus, there are in total 4 cassette tapes.

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Radicals help please

Answers

√6/3 is the value after rationalization of √2/√3

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is √2/√3

Square root two divided by square root three.

We need to rationalize the denominator

To rationalize multiply numerator and denominator by √3

√2/√3×√3/√3

√2×3/3

√6/3

Hence, √6/3 is the value after rationalization of √2/√3

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During lockdown down period people work very puzzled and their decided to play some game firstly they collect the 17 cards and write the numbers 1 to 17 put them in a box people make a bet from the chance of drawing the number either the prime or even number
etc.

Answers

From the universal set; N = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17}

Probability of drawing an even or prime number will be 15/17.

What is Probability?

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. The probability of all the events in a sample space adds up to 1.

N = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17}

Prime = {1,2,5,7,11,13,17}

Even = {2,4,6,8,10,12,14,16}

Pr(Prime) = 7/17

Pr(Even) = 8/17

Pr(Prime or even) = 7/17 + 8/17

Pr(Prime or even) = 15/17

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PLS HELP ASAP I DONT NNOW HOW TO DO THIS

Answers

Answer:

I think you do know how because where the point is now is correct!!

Points D, B, and E are collinear. Find the value of a so that points A, B, and C
are collinear.

Answers

Answer:

Since A, O and B are collinear,

i.e.,

A

O

B

=

180

or,

A

O

D

+

D

O

C

+

B

O

C

=

180

(

x

10

)

+

(

4

x

25

)

+

(

x

+

5

)

=

180

Or,

x

+

4

x

+

x

10

25

+

5

=

180

Or,

6

x

30

=

180

Or,

6

x

=

180

+

30

=

210

Or,

x

=

210

6

=

35

B

O

C

=

x

+

5

=

35

+

5

=

40

please i need help! anything will help

Answers

Answer:

a = 3 or -3

Step-by-step explanation:

a^2 -8 = 1

a^2 = 1 + 8

a^2 = 9

a = -  [tex]\sqrt{9}[/tex] or [tex]\sqrt{9}[/tex]

a = 3 or -3

Answer: a = 3, -3

Step-by-step explanation:

      Since we want to find what values of a, or x when substituted into the function, equal 1, we will set the function equal to 1 and solve for x.

     Given:

f(x) = x² - 8

     Set equal to 1:

1 = x² - 8

     Subtract 1 from both sides of the equation:

x² - 9 = 0

     Difference of squares factoring:

(x - 3)(x + 3) = 0

     Answers:

x = 3, -3

     So,

a = 3, -3

Write the coordinates of the vertices after a translation 1 unit down.

Answers

Answer:

M(4,0)

K(0,5)

L(6,5)

go down one

Why is it br2 and not BR?

Answers

Bromine is a diatomic molecule since it is typically found in groups of two.

What is the symbol to represent a chemical compound?

An element's one- or two-letter identification is known as a chemical symbol. O for oxygen, Zn for zinc, and Fe for iron are a few instances of chemical symbols. Symbols always start with a capital letter. Lowercase letters are used for the second letter in symbols with two letters.

A subscript appears after the atom to indicate how many of each kind there are. There is no number written if there is just one atom. The number is given as a subscript after the atom if there are multiples of a particular kind of atom.

Br represents the bromine. Bromine is a diatomic molecule and always needs to be bounded to something. Thus it is bounding to itself.

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Why is Avogadro's number 6.02 x10 23?

Answers

The value of  Avogadro's number is 6.02214076 × 10²³. The ratio of the actual mass of an element to its atomic mass is always constant which is known as  Avogadro's number.

What is one mole?

One mole consists of an Avogadro number of atoms. If you are aware of the mole quantity, you can convert a mole into grams.

The mole (symbol: mol) is the unit of material quantity used by the International System of Units. The amount of a substance determines how many elementary entities of that substance are present in an object or sample. The mole must contain precisely 6.02214076×10²³ elementary entities.

The proportionality factor that connects the number of constituent particles (often molecules, atoms, or ions) in a sample with the amount of material in that sample is called the Avogadro constant, also known as NA or L. It has a precise value of  6.02214076 × 10²³ reciprocal moles and serves as a SI defining constant.

It shows how many atoms or molecules make up one gram of an element's or compound's molecular weight. The value is "6.022 × 10²³" when the atomic mass of an element is divided by the actual mass of its atom.

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two cards are drawn from a shuffled deck of 52 cards. what is the probability that the first card is a king and the second is a heart

Answers

On solving the provided question, we can say that the required probability is = 13/204.

What is probability?

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

probability of 1st card =  1/4

since the card is not replaced

total number remaining cards = 51

second card 13/51

the required probability is = 13/204

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The residents of downtown neighborhood designed a triangular-shaped park as part of a city beautification program. The park is bound by streets on all sides. The second angle of the triangle is 5 degrees more than the first. The third angle is 5 degrees less than four times the first. Find the measures of the angle

Answers

The triangular park has three angles: 60°, at its base, 55° at its top, and 65° at its base.

What is are of triangle?

The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.

The sum of all angle of triangle = 180

As part of a civic beautification initiative, residents in a downtown neighbourhood created a park with a triangle shape.

Let's say that the initial angle is x°.

Accordingly, the second angle is (x + 5)° and the third angle is (5x - 5)° from the information provided.

The inner angles of a triangle are known to add up to 180 degrees.

∴ x + (x + 5) + (x - 5) = 180°

3x = 180°

x = 180°/3

x =60 °.

Hence, the triangular park has three angles: The triangular park has three angles: 60°, at its base, 55° at its top, and 65° at its base.

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(1 point)-225; represents the average depreciation in cell phone owners from 2012 to 2018225; represents the average growth in cell phone owners from 2012 to 2018-37.5, represents the average depreciation in cell phone owners from 2012 to 201837.5, represents the average growth in cell phone owners from 2012 to 2018 ____ psychology is the study of how students learn, the effectiveness of particular teaching techniques, the social psychology of schools, and the psychology of teaching. que nos revela el final del relato? en la obra la intrusa de luis borges cases involving citizens from two different states would be heard in a: Hume is famous for his experiment with radical doubt, which cast suspicion on everything we think we know. How many real solutions does this system of equations have? x+y=363x-y+1=0A.0B. 2C. 3D. 1 the fact that people exposed to atomic blasts develop lukemia at a higher rate than the general population suuports which of the following theories concerning the cause of the disease (plato/edmentum) = radiation Is a process of which helps individuals understand how personal attributes may affect their success in and satisfaction with a variety of career options A frictionless pendulum is pulled 3 feet to one side of its center resting point Here is a graph of the function h.Use the graph to find the followingIf there is more than one answer, separate them with commas(a)All local minimum values ofh(b) All values at which h has a local minimum: the personality trait called is associated with both depression and abnormalities in the brain's serotonin 1) How does the author of Civil Rights Native American Rights introducethe idea that positive changes are being made for the NativeAmerican Indians in the subheadings Indian Citizenship Act, MakingThings Better, Indian Civil Rights Act, and Moving Forward? S Janine is considering buying a water filter and a reusable water bottle rather than buying bottled water. Will doing so save her money? First, determine what information you need to answer this question, then click here to display that info (along with other info). How much water does Janine drink in a day? She normally drinks 6 bottles a day, each 16.9 ounces. How much does a bottle of water cost? She buys 24-packs of 16.9 ounce bottles for $3.99. How much does a reusable water bottle cost? About $10. How long does a reusable water bottle last? Basically forever (or until you lose it). . How much does a water filter cost? How much water will they filter? o A faucet-mounted filter costs about $28 and includes one filter cartridge. Refill filters cost about $33 for a 3-pack. The box says each filter will filter up to 100 gallons (378 liters) o A water filter pitcher costs about $22 and includes one filter cartridge. Refill filters cost about $20 for a 4-pack. The box says each filter lasts for 40 gallons or 4 months An under-sink filter costs $130 and includes one filter cartridge. Refill filters cost about $60 each. The filter lasts for 500 gallons. Which option is cheapest over one year (365 days)? faucet-mount filter The cheapest option saves her $ Give your answer to the nearest cent. Pro-rate the costs of additional filters (so if you only use part of a filter, only count the corresponding fraction of the filter cost) and pro-rate the cost of the bottled water (so if you only use part of a case, only count the cost for the portion of the case used). over a year.