if you have a mixture of 10 lb. sunflower seeds which cost 32c per pound and 16 lb. of cracked corn which cost 18¢per pound, how much would this mixture cost per pound?

Answers

Answer 1

By unitary method, we get that the total cost of mixture per pound = 50 cents.

What is unitary method?

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.

Given:

Cost of 1 pound sunflower seeds = 32 cents.

Cost of 1 pound cracked corn = 18 cents.

Available sunflower seeds = 10lb = 10 pounds

Available cracked corn = 16lb = 16 pounds

To find: Cost of the mixture per pound

Finding:

By unitary method, Cost of 1 pound sunflower seeds = 32 cents.

Cost of 10 pounds sunflower seeds = 32(10) = 320 cents.

Again, by unitary method,

Cost of 1 pound cracked corn = 18 cents.

Cost of 16 pound cracked corn

= 18(16) cents

= 288 cents.

Therefore, total cost of mixture per pound

= 32 + 18 = 50 cents.

To learn more about unitary method, refer to the link: https://brainly.com/question/24587372

#SPJ4


Related Questions

The figure shows three quadrilaterals on a coordinate grid: A coordinate plane is shown. Figure Q is a quadrilateral with sides measuring 5 and 2. Figure S is a quadrilateral with sides measuring 5 and 2. Figure W is a quadrilateral with sides measuring 10 and 4. Which of the following statements is true about the three quadrilaterals? (4 points) a Q and W are similar but not congruent. b W and S are similar and congruent. c W and Q are similar and congruent. d Q and S are similar but not congruent.

Answers

Using the concepts of similarity and congruence, the correct statement is given by:

a. Q and W are similar but not congruent.

What are similar figures and what are congruent figures?

Similar figures are figures that have the same angles and the same format, for example, all quadrilaterals are similar.Congruent figures are similar and also have equal side lengths.

For this problem, we have that:

All the figures are quadrilaterals, hence all the figures are similar.Figures Q and S have the same side lengths, while Figure W has different side lengths. Hence Q and S are congruent, while Q and W and W and S are not.

Hence the correct statement is given as follows:

a. Q and W are similar but not congruent.

From the two bullet points, we justify we the other statements are not correct.

More can be learned about similarity and congruence at https://brainly.com/question/16885076

#SPJ1

A: >

B: <

C: =



PLS HELP WILL MARK BRAINLIEST!!!!

Answers

Answer:

B: <

Step-by-step explanation:

2 1/4 is smaller than 3 1/4 because first of all, 2 is smaller than 3. Also, when you make both an improper fraction, than 2 1/4 will be 9/4 and 3 1/4 would be 13/4. 9/4 is smaller than 13/4.

Chang wants to plant grass in his backyard. His backyard is in the shape of a rectangle. Its length is 32 feet and its width is 21 feet. Suppose each pack of seed covers 12 square feet. How many packs of seed will he need to cover the backyard?

Answers

Answer:

56 packs of seeds

Step-by-step explanation:

To find the area of Chang's backyard, we can use the formula for an area of a rectangle.

Area = length·width or A = lw

32·21 = 672 sq ft.

To find how many packets of seed he will need to cover the backyard, we can take the area of Chang's yard and divide it by how many square feet each pack of seed covers.

672/12 =  56

Chang will need 56 packs of seeds to cover the backyard.

Mikey spent 20.25 on coffe tagt coat 4.50 per pound how many pounds did mikey buy

Answers

Answer:

4.5 lb of coffee

Step-by-step explanation:

4.5/20.25

6n=3/5 (5n + 15) solve for n

Answers

Answer:

3

Step-by-step explanation:

6n = 3/5 x 5 (n+3)

6n = 3 (n+3)

6n = 3n + 9

6n - 3n = 9

3n = 9

=3

Answer:

6n=3/5(5n+15)

6n=3n+9

6n-3n=9

3n=9

3n/3=9/3

n=3

What number makes the equation true? -5 + (Blank) = -7 1/3
Please hurry!

Answers

The answer is -2 1/3 or -2.33

Answer:

Step-by-step explanation:

2 1/3 because I learned this exact question at school

Find the values of x and y.

(2x + 25)°



(3x - 10)°

(They are angles btw)

Answers

Correct answer is Y=65 degrees

Using the following image, list four coplanar points in plane U.

Answers

The coplanar points in plane U are

Point P

Point W

Point S

Point L

Coplanar and Collinear points

Coplanar points are three or more points which all lie in the same plane

Collinear points are the points that lie on the same straight line or in a single line.

In the image attached, points A, B, C, and D are coplanar points. This is because they all lie on the same plane.

Now,

In the given image, points P, W, and S all lie on the same straight line. Thus, they are collinear.

and

Points P, W, S, and L all lie on plane U. This means the points are coplanar.

Hence, the coplanar points in plane U are

Point P

Point W

Point S

Point L

Learn more on Coplanar and Collinear points here: https://brainly.com/question/24445911

#SPJ1

please help!! will mark branliest if correct!!!

Answers

[tex]increasing ( \infty \: to \: 1) and \: increasing(3 \: to \: 4) \\ \\ decreasing(1 \: to \: 3) \: and \: (4 \: to - \infty )[/tex]

Step-by-step explanation:

by increasing it means the gradient is positive, so coming positive infinity gradient is positive but once it reaches (1;0) it becomes 0 (=0). from (1;0) it starts to decrease approaching the asymptote of 3

You buy a stock that has a price of $50 per share. A week later the stock's price drops to $25 per share (it's lost half its value). If you are affected by loss aversion you would be likely to...
1. Do nothing
2.Buy more shares
3. sell the shares
4.look for other stocks to buy

Answers

4. Look for other stocks to buy

The environmental club is selling indoor herb gardens for $8 each for Earth Day. The goal is to raise at least $500 during the fundraiser. So far the club has raised $256 toward the goal. How many herb gardens must they sell in order to reach or exceed the $500 goal? Write and solve an inequality that models this situation, then enter the value the completes the statement "At least _______ herb gardens".

Answers

At least 16 more herb gardens must be sold in order to meet the fundraising goal

It is given that the environmental club is selling indoor herb gardens for $8 each for Earth Day.

The goal for the club is to raise at least $500 during the fundraiser.

So far the club has raised $256 toward the goal.

Let the number of herb gardens yet to be sold be 'x'

Thus total amount raised by 'x' herb garden sold= 8x

Thus, the equation for fundraising will be

8x+256=500

8x=500-256

8x=244

x= 244/8=31/2=15.5

Hence at least 16 more herb gardens must be sold in order to meet the fundraising goal

#SPJ9

Main Answer :16

Concept and definitions should be there:

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value.

a ≠ b says that a is not equal to b

a < b says that a is less than b

a > b says that a is greater than b

(those two are known as strict inequality)

a ≤ b means that a is less than or equal to b

a ≥ b means that a is greater than or equal to b.

Given that:

It is given that the environmental club is selling indoor herb gardens for $8 each for Earth Day.

The goal for the club is to raise at least $500 during the fundraiser.

So far the club has raised $256 toward the goal.

Solving Part:

Let the number of herb gardens yet to be sold be 'x'

Thus total amount raised by 'x' herb garden sold= 8x

I can match an inequality to a situation it represents, solve it, and then explain what the solution means in the situation.

If I have a situation and an inequality that represents it, I can explain what the parts of the inequality mean in the situation.

We know that

$256≥ $500 → inequality that represent the situation

Thus, the equation for fundraising will be

8x+256=500

8x=500-256

8x=244

x= 244/8=31/2=15.5

Hence at least 16 more herb gardens must be sold in order to meet the fundraising goal.

Final Answer: 16

To learn about more about the Inequality  visit:brainly.com/question/2438024 #SPJ9.

Part of the proceeds from a garage sale was $330 worth of $5 and 520 bills. If there were 6 more $5 bills than $20 bills, find the number of each denomination.

Answers

The number of bills worth $20 is found to be 18 and the  number of bills worth $5 is 12.

What is defined as the linear equation in two variables?

A linear equation in two variables is one that is written in the form;

ax + by + c=0, where a, b, and c are real numbers and also the coefficients of x and y, i.e. a and b, are not equal to zero.

Now, as per the given question;

Let 'X' be the number of bills worth $20.

Let 'Y' be the number of bills worth $5.

Then, the total cost of the bills $330 is written as;

330 = 20X + 5Y

Now, if 6 more $5 bills is added to than $20 bills.

Y = X + 6, as there are 6 more $5 bills than $20 bills.

Substitute the value of Y in original equation.

330 = 20X + 5(X+6)

330 = 20X + 5X + 30

Further solving the equation.

300 = 25X

X = 300/25

X = 12 (number of bills worth $20)

Substitute the value in Y to find the number of bills worth $5.

Since, there are 6 more $5 bills than $20 bills, Y = 12+6 = 18

Thus, there are 18 number of bills worth $20.

To know more about the linear equation in two variables, here

https://brainly.com/question/24085666

#SPJ9

Evaluate the expression shown below and write your answer as a fraction in
simplest form.
3/4 - 3/10

Answers

Answer: 9/20
Explain:
3/4=15/20
3/10=6/20
15/20-6/20=9/20

Help I will AWard Brainlist !!! its Math problem Please Help find the length of b.

thank you means alot.

Answers

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Let's solve ~

Using Trigonometric ratios :

[tex]\qquad \sf  \dashrightarrow \: \cos(45 \degree) = \dfrac{b}{ 4 } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{ \sqrt{2} } = \dfrac{b}{4} [/tex]

[tex]\qquad \sf  \dashrightarrow \: b = \dfrac{4}{ \sqrt{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: b = 2 \sqrt{2} [/tex]

The midpoint of segment EF is M(4, -1). Find endpoint F if the other endpoint E is at E(2, 3).

Answers

The x and y coordinates of the endpoint F are (6,-5)

The midpoint of a line segment is a point that is situated exactly at the middle from the  two ends of the line segment

The coordinate of the mid-point or any other point can be found using the section formula.

For a point P with coordinates, the section formula is as follows: (x,y)

which divides the line segment A(x1,y1), B(x2,y2) in the ratio m:n, is given by the equation

Px=mx2+nx1/m+n               Py=my2+ny1/m+n

Because the midpoint divides the line segment equally, m and n are both 1 in the midpoint case.

Thus the formula becomes

Px=1*x2+1*x1/1+1       Py = 1*y2+1*y1/1+1

where Px and Py are x and y co-ordinates of the point x and y

It is now assumed that midpoint M has coordinates (4,-1)

Point E is given by (2,3)

We are required to find F

Thus using section formula,

Mx=2+x/2            My=-3+y/2

4=2+x/2                 -1=1+y/2

8-2=x                        -2-3=y

x=6                         -5=y

Therefore, the coordinates of x and y of the endpoint F are(6,-5)

Learn more about coordinates and endpoint here:

https://brainly.com/question/13099421

#SPJ9

Find the indicated segment.
(3x + 4) (x + 12)

Answers

Answer:

Step-by-step explanation:

i'm kinda bad at math but i think it's 9=9 or x+26. i'm not sure.try x+26 you can see if i'm incorrect or correct. i only gave you the 2 answer's i'm sure of well                                                                                                              god bless :D

find the 13th term in the following arithmetic sequence 2,18,18,26

Answers

The 13th term in the following arithmetic sequence 2,10,18,26 is 114

What is arithmetic progression?

Arithmetic progression is the series of numbers that have common differences between adjacent values

Now the given sequence is,

2,10,18,26

So, common difference, d = 10 -2 = 8

and 1st term, a1 = 2

Thus, nth term of an arithmetic sequence is given as,

Tn = a1 + (n - 1)d

For 13th term put n =  13

⇒ T13 = 2 + (15 - 1)8

⇒ T13 = 2 + 14*8

⇒ T13 = 2 + 112

⇒ T13 = 114

Thus, the 13th term in the following arithmetic sequence 2,10,18,26 is 114

Learn more about arithmetic progression : brainly.com/question/20334860

#SPJ1

The correct question is-

find the 13th term in the following arithmetic sequence 2,10,18,26.

Point is located at coordinates (-4, 3). What are the coordinates of each point?​

Answers

The images of points are

Point B after the transformation of the point A is (4,- 3)Point C after the transformation of the point A is (2, -3)Point D after the transformation of the point A is (6,3)

How to determine the image of point B after the transformation of the point A?

From the question, we have the coordinate of point A to be

A = (-4, 3)

The sequence of transformations is given as:

180 degrees rotation around the origin

The rule of the above transformation is

(x, y)= (-x, -y)

So, we have

A' = (4, -3)

This means that

B = (4, -3)

Hence, the image of point B after the transformation of the point A is (4,- 3)

How to determine the image of point C after the transformation of the point A?

From the question, we have the coordinate of point A to be

A = (-4, 3)

The sequence of transformations is given as:

Translation two units to the rightReflection across the x-axis

The rules of the above transformations are

Translation two units to the right

(x, y)= (x + 2 , y)

So, we have

A' = (-2, 3)

Reflection across the x-axis

(x, y)= (x, -y)

So, we have

A'' = (2, -3)

This means that

C = (2, -3)

Hence, the image of point C after the transformation of the point A is (2, -3)

How to determine the image of point D after the transformation of the point A?

From the question, we have the coordinate of point A to be

A = (-4, 3)

The sequence of transformations is given as:

Reflection across the y-axisTranslation two units to the right

The rules of the above transformations are

Reflection across the y-axis

(x, y)= (-x, y)

So, we have

A' = (4, 3)

Translation two units to the right

(x, y)= (x + 2 , y)

So, we have

A'' = (6, 3)

This means that

D = (6,3)

Hence, the image of point D after the transformation of the point A is (6,3)

Read more about transformation at

brainly.com/question/27224272

#SPJ1

Given the following piecewise defined functions, evaluate each of the problems below.
h(x) ={7, when x<0
{x+1, when 0 ≤x ≤4
{√x-1, when x>4
1.h(0)
2.h(10)
3.h(-3)
4.h(3)

Answers

The values of the functions are h(0) = 1, h(10) = 3, h(-3) = 7 and h(3) = 4

How to evaluate each of the function values from the piecewise function?

The piecewise function is given as:

h(x) = {7, when x<0

         {x+1, when 0 ≤x ≤4

          {√x-1, when x>4

Next, we solve the function values

1. Function h(0)

This means that x = 0

To do this, we make use of h(x) = x + 1 because x= 0 is in its domain

So, we have

h(0) = 0 + 1

h(0) = 1

2. Function h(10)

This means that x = 10

To do this, we make use of h(x) = √x - 1 because x= 10 is in its domain

So, we have

h(10) = √10 - 1

h(10) = √9

h(10) = 3

3. Function h(-3)

This means that x = -3

To do this, we make use of h(x) = 7 because x= -3 is in its domain

So, we have

h(-3) = 7

4. Function h(3)

This means that x = 3

To do this, we make use of h(x) = x + 1 because x= 3 is in its domain

So, we have

h(3) = 3 + 1

h(3) = 4

Hence, the values of the functions are h(0) = 1, h(10) = 3, h(-3) = 7 and h(3) = 4

Read more about piecewise function at

https://brainly.com/question/18499561

#SPJ1

What is the value of x/2y, when x = 10 and y =1?​

Answers

2 times 1 is 2 so the equation becomes x/2 and x is 10 so 10/2 is same as 10÷2 which is 5

what is the value of 64 ⅔ ?​

Answers

Answer:16

explanation:

=64

=(4)3×(there is 3 and 3 will be cancel)

=(4)²(4²=4×4)

=16 Ans

Solve for x
-10x>=-100

Answers

Answer:

x>−10

Step-by-step explanation:

x = 100/9  ............

josh reads a total of 30 books over 6 months. If josh has read 40 books so far,how many months has he been with his book club?

Answers

Answer:

8 months

Step-by-step explanation:

5x6 is 30

30 books per 6 month

40 books is 1 month and a bit

the bit is 10 left

5x2 is 10 so 2 more months

6plus 2 is 8

so he has been with his book club for 8 months

Factor the expression: 1.5x + 6

Answers

Answer:

1.5(x+4) is the answer of this question.

I don’t get what I’m supposed to do

Answers

$38 in total with 14 bills

$38 - $3 = $35 (3 $1 bills)

$35 - $30 = $5 (6 $5 bills)

$5 - $5 = $0 (another 5 $1 bills)

Total: 8 x $1 and 6 x $5

Answer:

The number of $5 bills is 6

The number of $1 bills is 8

Step-by-step explanation:

Given the number of $1 bills is x, and of $5 bills is y

Then x + y = 14 or x = 14 - y

And 1(x) + 5(y) = 38

then 1(14 - y) + 5y = 38

14 - y + 5y = 38

4y = 38 - 14

4y =24

y = 6

if the number of $5 bills is 6

then the number of $1 bills is 14 - 6 = 8

Rewrite x^4y^2 − 2x^3y^3 using a common factor.

x^2y(xy − 2xy^2)
x^2y^2(x^2 − 2xy)
2xy^2(x^2 − x^2y)
2xy(x^3y − x^2y)

Answers

Answer:

x^2y^2(x^2 − 2xy) ..............

The rewritten polynomial of x⁴y² - 2x³y³ is x²y²(x²-2xy).

What is the greatest common factor?

The greatest number that can divide the numbers in equal parts.

It is called as greatest common factor.

We have a polynomial,

x⁴y² - 2x³y³.

Factor out the common terms,

x⁴y² - 2x³y³,

= x²y²(x²-2xy)

Therefore, x²y²(x²-2xy) is the required expression.

To learn more about the greatest common factor;

https://brainly.com/question/11221202

#SPJ2

PLEASE HELP ME!
A research group surveyed 150 students. The students were asked how often they go to the movies and whether they prefer action movies or comedies. Their responses are summarized in the following table.

Answers

Answer:

72% go twice a month

60% prefer comedies

Step-by-step explanation:

45+63=108

108/150=0.72 ---> 72%

63+27=90

90/150=0.6 ---> 60%

Pedro uses cardboard to make a model of a square pyramid. The edges of the base of the model are 5 in. long. The height of each triangular face is 4 in. What is the area of the cardboard in Pedro's model? Show your work.​

Answers

The area of the cardboard in Pedro's model is 190 sq inches.

What is lateral and total surface area ?

The only difference between lateral surface area and total surface area is in lateral surface area we only consider the side views and neglect the top and bottom on the other hand for total surface area we consider all sides.

As a sphere has no side it has only total surface area which is 4πr².

According to the given question Pedro uses cardboard to make a model of a square pyramid.

Also given that the edges of the of the model is 5 in. long and the height of the triangular face is 4 in.

As to make the base of the pyramid with is square we need to form a cube which has sides = height = 5 inches.

We know the total surface area of a cube is 6(side)² which is

= 6(5)² sq inches.

= 6(25) sq inches.

= 150 sq inches.

Now for the upper triangular part we need 4 triangles with height 4 inches and as the base of the cube is 5 inches therefore the base of the triangle will also be of 5 inches.

We know area of a triangles with given height and base is

= (1/2)×base×height.

So for four such triangles the area will be 4 times of this.

= 4[(1/2)×5×4] sq inches.

= 4[10] sq inches.

= 40 sq inches.

So, the total area of the square pyramid model will be (150 + 40) = 190 sq inches.

learn more about sphere here :

https://brainly.com/question/12390313

#SPJ1

Will give u brainliest
What will be the location of the x value of R' after using the translation rule (x + 4, y - 7), if the pre-image R is located at ( 24, -13)

Answers

The location of the x value of R' after using the translation rule is 28

What will be the location of the y value of R' after using the translation rule?

The translation rule is given as:

(x + 4, y - 7)

The pre-image of R is located at (24, -13)

Rewrite as

R = (24, -13)

When the translation rule is applied, we have:

R' = (24 + 4, -13 - 7)

Evaluate

R' = (28, -20)

Remove the y coordinate

R'x = 28

Hence, the location of the x value of R' after using the translation rule is 28

Read more about translation at:

brainly.com/question/26238840

#SPJ1

Solve for x.

9^6 = x^3 x 9^3

Answers

Answer:9

Step-by-step explanation:

I'm assuming the equation is : [tex]9^{6}[/tex]=[tex]x^{3}[/tex]*[tex]9^{3}[/tex]

1) [tex]9^{6}[/tex]=531441

  [tex]9^{3}[/tex]    =729

2) 531441=729  [tex]x^{3}[/tex]

3) [tex]\frac{531441}{729}[/tex]= [tex]x^{3}[/tex]

4)729=[tex]x^{3}[/tex]

5) [tex]\sqrt[3]{729}[/tex] =[tex]\sqrt{x}[/tex]^3    

6) 9=x

Other Questions
How does the U.S. government factor into the importance of voting? Do you believe voting is an essential right that all citizens should use? Determine whether the relation is a function. Explain. { ( 2 , 5 ) , ( 4 , 2 ) , ( 3 , 3 ) , ( 5 , 4 ) , ( 2 , 5 ) } Multiple choice question. cross out A) Yes; for each element of the domain, there is only one element of the range. cross out B) Yes; for each element of the range, there is only one element of the domain. cross out C) No; the elements 2, 3, 4, and 5 are in both the domain and the range. cross out D) No; the element 5 occurs twice in the range. john, a farmer, thinks he will make a profit next year if the weather stays the same, if the price of his crop doesn't change, and if the price of fertilizer and seed does not change. an economist would say that this farmer thinking he will make a profit the following year is an example of group of answer choices What is the maximum number of NTP Servers that an NTP client can be synchronized with?A. 2B. UnlimitedC. 1D. 4 Where does energy in the sugar molecules made by photosynthesis come from? eric shotwell borrows $24,600 from a certain bank. the interest charge amounts to $8,628. what equal monthly payments (in $) must eric make in order to pay back the loan, with interest, in 36 months? THE LATIN AMERICAN ELITES OF THE NINETEENTH CENTURY IN FACE OF THE FEAR THEY MAINTAINED OF A REVOLUTION DECIDED NOT TO GRANT THE?A. ABOLISHMENT OF SLAVERYB. ELIMINATION OF SAFEGUARDSC. CITIZENSHIPD. TRADE UNIONIST IDEASJUSTIFY ANSWERSLAS ELITES LATINOAMERICANAS DEL SIGLO XIX ANTE EL TEMOR QUE MANTENIAN DE UNA REVOLUCION DECIDIERON NO OTORGAR LA?A. ABOLACION DE LA ESCLAVITUDB. ELIMINACION DE LOS RESGUARDOS C. CIUDADANIA D. IDEAS SINDICALISTASJUSTIFICAR RESPUESTA Why does a guide usually use the method ofquestion-and-answer introduction? in year 2, the firm collected $650,000 from clients while performing $400,000 of services for them. the $30,000 that had been paid in advance during year 1 the degree to which employees are fully involved in their work combined with the strength of their commitment to their jobs and company is called Ana compra en la tienda 15/20 gramos de jamon y 15/20 gramos de queso y quiere saber a cuanto equivale en decimales the mass of a golf ball is 45.9 g . if it leaves the tee with a speed of 72.0 m/s , what is its corresponding wavelength? express your answer with the appropriate units. PromptWrite a short script (1520 lines) that creates an imagined scene between two or three characters. The scene should show a universal theme, such as "friends help and defend each other or "fights can last a long time. Be sure to set the mood of your scene by using stage directions to show how characters should interact with one another. Let f(x) = x3 + 10, g(x) = x2 - 8, and h(x) = 5x + 4. Find the rule for the function. PUNTOS Write the equation of the line parallel to y = -1/3x + 4 and passing through the point (-6, -9). Be sure to write your answer in slope-intercept form(y=mx+b) supplier relationship management is the process that focuses on everything that happens after contracting suppliers the diameter of a hydrogen atom is about 1.05 cross times 10 to the power of negative 10 end exponentmeters. a protein molecule has an overall length of 3000 times (or 3 cross times 10 cubed times) the diameter of a hydrogen atom Write an interpretive essay that analyzes literature from the perspective of a quotation. In your essay, interpret the quotation and explainhow it applies to literature you have read. Support your viewpoint with evidence from a variety of literary texts that you have read Includeprecise language and literary terms.*That's what literature is. It's iSthe people who went before us, tapping out messages from the past, from beyond the grave, trying to tell usabout life and death! Listen to them!" Epithelial cells that are adapted for absorption usually have ________ at their free surface. a consumer faces a tradeoff between labor (????) and leisure (????). she consumes a composite good (????). when the consumer works, she earns an hourly wage of $17.00, and she spends a maximum of 24 hours on labor and leisure, but she chooses to work 6.00 hours. whatever time she does not spend working, she spends on leisure. she starts with an initial endowment of 18.00 units of the composite good, which she can buy and sell freely at a market price of $11.00.