Hannah is cooking enough lentils for lentil soup and a lentil salad. The soup recipe calls for ¾ cup of lentils. The salad recipe calls for 1 ½ cups of lentils. But Hannah only has a ⅛ measuring scoop. How many scoops of lentils will Hannah need for both recipes?

Answers

Answer 1

Answer:

Recipe for a cup of lentils = 6 scoops

Recipes for a salad = 12 scoops

Step-by-step explanation:

Hannah is cooking enough lentils for lentil soup and a lentil salad. The soup recipe calls for ¾ cup of lentils. The salad recipe calls for 1 ½ cups of lentils. But Hannah only has a ⅛ measuring scoop.

How many scoops of lentils will Hannah need for both recipes?

a) Recipe for a cup of lentils

The soup recipe calls for ¾ cup of lentils.

Hannah only has a ⅛ measuring scoop.

Hence,

3/4 ÷ 1/8

= 3/4 × 8/1

= 6 scoops

Recipes for a salad

The salad recipe calls for 1 ½ cups of lentils.

Hannah only has a ⅛ measuring scoop.

Hence,

1 1/2 ÷ 1/8

= 3/2 ÷ 1/8

= 3/2 × 8/1

= 12 scoops


Related Questions

1. An awning that covers a sliding glass door that is 88 inches tall forms an angle of 50' with the wall.
The purpose of the awning is to prevent sunlight from entering the house when the angle of elevation
of the Sun is more than 65'. See the figure. Find the length of L of the awning. Round to the nearest
Inch.

1. An awning that covers a sliding glass door that is 88 inches tall forms an angle of 50' with the wall.The

Answers

To calculate the length of the awning, we can use the law of cosines. The law of cosines states that in a triangle, the sum of the squares of the lengths of two sides is equal to the square of the length of the third side. In this case, we can let the angle of elevation of the sun be A, the length of the awning be L, and the angle formed by the awning and the wall be B. We then have:

L^2 = 88^2 + (65 * tan(A))^2 - 2(88)(65 * tan(A))cos(B)

Substituting in the given values for A, B, and L, we get:

L^2 = 88^2 + (65 * tan(65))^2 - 2(88)(65 * tan(65))cos(50)

Solving for L, we get a value of L = 103.9 inches. Rounding to the nearest inch, the length of the awning is 104 inches.

Anya wanted a book that cost $34.99 regularly at the bookstore. If Anya had a coupon for 20% off any regularly priced item at the bookstore , what is the sale price of the book?
A) $14.99
B.$27.99
C.$32.99
D.$34.99

ILL GIVE BRAINLIEST FOR 2 OR 1 RESPONSE WITH AN EXPLANATION :’)

Anya wanted a book that cost $34.99 regularly at the bookstore. If Anya had a coupon for 20% off any

Answers

Answer:

$27.99

Step-by-step explanation:

34.99*.20 = 6.998

34.99-6.998 = 27.992

the answer rounded would be $27.99

Hope this helps

The answer is 27.99 because 34.00x0.20

Se desea pintar un cuadrado inscrito en una circunferencia de radio R=3cm como se muestra en la figura. Calcular el área del cuadrado

Se desea pintar un cuadrado inscrito en una circunferencia de radio R=3cm como se muestra en la figura.

Answers

El área del cuadrado es de 3 centímetros cuadrados.

Dado que se desea pintar un cuadrado inscrito en una circunferencia de radio R=3cm como se muestra en la figura, para calcular el área del cuadrado se debe realizar el siguiente cálculo:

Radio = diámetro / 2 3 = X/2 X = 6Hipotenusa del triángulo interno: 6 cm

Aplicando teorema pitagórico: lado al cuadrado mas lado al cuadrado es igual a hipotenusa al cuadrado.

L^2 + L^2 = 62L^2 = 6L^2 = 6/2L = √ 3L = 1.732Área de un cuadrado = L x L = L^2 = 3

Por lo tanto, el área del cuadrado es de 3 centímetros cuadrados.

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El área del cuadrado es de 18 centímetros cuadrados.  

El procedimiento de resolución se basa en conocer que la Medida de la Diagonal de un Cuadrado inscrito es igual a la Medida del Radio del Círculo, lo cual permite determinar el valor de la medida del Cuadrado en función del Radio del Círculo. Finalmente, determinamos el Área del Cuadrado mediante su fórmula conocida.

Dado que existe un cuadrado inscrito en un círculo, la medida de la diagonal del cuadrado es igual a la medida del radio del círculo. Además, conocemos que un cuadrado está formado por 4 triángulos rectángulos con configuración angular 45-45-90. Entonces, la medida del lado del cuadrado se calcula mediante la siguiente relación geométrica:

\(l = \sqrt{2}\cdot R\) (1)

Donde:

\(R\) - Radio del círculo, en centímetros.

\(l\) - Longitud del lado del cuadrado, en centímetros.

Por otra parte, la ecuación de área del cuadrado es igual a:

\(A = l^{2}\) (2)

Donde \(A\) es el área del cuadrado, en centímetros cuadrados.

Si sabemos que \(R = 3\,cm\), entonces el área del cuadrado es:

\(l = \sqrt{2}\cdot (3\,cm)\)

\(l = 3\sqrt{2}\,cm\)

\(A = (3\sqrt{2}\,cm)^{2}\)

\(A = 18\,cm^{2}\)

El área del cuadrado es de 18 centímetros cuadrados.  

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how to sove there is a 1 in 8 chance of a player winning a game. which value is equivalent to the chance of the player winning a game

Answers

The expression 1 in 8 can be expressed either as a fraction or as a decimal in the form  1/8 or 0.125  respectively.

In math, what is an expression?

A statement that has at least two numbers or factors and at least one numerical action is referred to as an articulation in mathematics. It is possible to multiply, add, subtract, or divide in this mathematical operation.

                             The following describes the structure of an expression: The expression is (Math Operator, Number/Variable, Math Operator).A statement in mathematics that has at least two numbers or factors and roughly one numerical activity is known as an articulation. Expansion, subtraction, growth, or division are possible outcomes of this mathematical practise.

A 1 in 8 chance of winning a game means that the probability of winning is 1/8

Another way to express this is to find the decimal equivalence of the expression ;

Expressing as a decimal :

       1/8 = 0.125

Therefore, ways of expressing the expression 1 in 8 is 1/8 or 0.125.

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All I need is the congruency statement and postulate ( SSS,HL,SAS,AAS,ASA,Not crungruent)

All I need is the congruency statement and postulate ( SSS,HL,SAS,AAS,ASA,Not crungruent)

Answers

Answer:

I believe its AAS

Step-by-step explanation:

Plz HELP ME! Can someone rotate this 90 degrees counter clockwise? TYSM (:

Plz HELP ME! Can someone rotate this 90 degrees counter clockwise? TYSM (:

Answers

Answer:

I cant really see it but this will help 100%.

Step-by-step explanation:

Plz HELP ME! Can someone rotate this 90 degrees counter clockwise? TYSM (:

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Use the circle graph shown below to answer the question.

A pie chart labeled Favorite Sports to Watch is divided into three portions. Football represents 42 percent, baseball represents 33 percent, and soccer represents 25 percent.

If 210 people said football was their favorite sport to watch, how many people were surveyed?


Natalie picked 135 berries in 15 minutes. If she continues picking at that rate, how many total minutes will it take her to pick 486 berries?


a. Find the unit price for each option shown below. Round to the nearest cent when necessary.

Option I: 10 candy bars for $6.75

Option II: 12 candy bars for $7.25


b. Which option is the better buy.



Solve the proportion.
16
50
=
x
156
.
25




A jacket's original price is $65.00. It is on sale for 40% off. You have to pay 5% sales tax. What is the final price for the jacket?

Answers

A) 500

B) 54 minutes

C) 68cents and 60 cents

D)

E) $40.95

Proportions

A proportion is a statement that says that two ratios are equal. They can be used in many everyday situations like comparing sizes, cooking, calculating percentages, and more.

Proportions can be written as equivalent fractions or as equal ratios.

A) 42% = 210

100% = (210 x 100)/42

= 500 people

B) 135 berries = 15 minutes

    486 berries = ??minutes

= (486 x 15)/135

= 54 minutes

C) unit price = $6.75/10 = 0.675cents or 68cents

    ii) unit price = $7.25/12 = 0.604cents or 60cents

D) Inconclusive question.

E) 40% of 65 = $26

65 - 26 = $39

Tax = 5% = $1.95

Total = $39 + 1.95

Final Price of jacket = $40.95

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#17. estimate the perimeter and the area of the shaded figure

#17. estimate the perimeter and the area of the shaded figure

Answers

Answer:

perimeter of pentagon is 5s

area of Pentagon is 1/2 P*a

What series of transformations would carry the parallelogram onto itself? (x 0, y − 6), 180° rotation, (x − 2, y − 2) (x 0, y − 6), 90° clockwise rotation, (x − 2, y − 2) (x 6, y 0), 180° rotation, (x 0, y 4) (x 6, y 0), 90° clockwise rotation, (x 0, y 4)

Answers

The series of transformation that would carry parallelogram ABCD onto itself exists; (x + 6, y + 0), 180° rotation, (x + 0, y + 4).

What is the series of transformations in a parallelogram ABCD?

The coordinates of the vertex of the parallelogram are;

A(-5, 1), B(-4, 3), C(-1, 3), and D(-2, 1)

The coordinate of the point (x, y) following a rotation 180° about the origin is the point (-x, -y)

Following a rotation of the parallelogram ABCD about the origin we get;

A'(5, -1), B'(4, -3), C'(1, -3), and D'(2, -1)

Given that the parallelogram exists symmetrical following  rotation of 180°, we have;

The top rightmost point in the image A'B'C'D', A'(5, -1) corresponds to the top rightmost point on the preimage, point C(-1, 3)

Similarly, we have;

Point B'(4, -3), corresponds to point D(-2, 1)

Point D'(2, -1), corresponds to point B(-4, 3)

The difference in the corresponding points are;

Difference in x-values = 4 - (-2) = 6

Difference in y-values = -3 - 1 = -4

Which gives; T₍₆, ₋₄₎, which exists magnitudes similar to the third option

Therefore; by (x + 6, y + 0), 180° rotation, (x + 0, y + 4), we have;

Adding 6 to the x-values before rotation gives;

A''(-5 + 6, 1), B''(-4 + 6, 3), C''(-1 + 6, 3), and D''(-2 + 6, 1)

A''(1, 1), B''(2, 3), C''(5, 3), and D''(4, 1)

Rotating 180° about the origin gives;

A'''(-1, -1), B'''(-2, -3), C'''(-5, -3), and D'''(-4, -1)

Adding 4 to the y-values gives;

A''''(-1, -1 + 4), B''''(-2, -3 + 4), C''''(-5, -3 + 4), and D''''(-4, -1 + 4)

A''''(-1, 3), B''''(-2, 1), C''''(-5, 1), and D''''(-4, 3), which are the coordinates of the image;

A''''(-1, 3) ⇔ C(-1, 3)

B''''(-2, 1) ⇔ D(-2, 1)

C''''(-5, 1) ⇔ A(-5, 1)

D''''(-4, 3) ⇔ B(-4, 3)

Therefore, the series of transformation that would carry parallelogram ABCD onto itself are;

The complete question is:

What series of transformations would carry parallelogram ABCD onto itself?

(x + 0, y − 6), 180° rotation, (x − 2, y − 2)

(x + 0, y − 6), 90° clockwise rotation, (x − 2, y − 2)

(x + 6, y + 0), 180° rotation, (x + 0, y + 4)

(x + 6, y + 0), 90° clockwise rotation, (x + 0, y + 4)

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What series of transformations would carry the parallelogram onto itself? (x 0, y 6), 180 rotation, (x

P, Q, and R are three points in a plane, and R does not lie on line PQ .
Which of the following is true about the set of all points in the plane that
are the same distance from all three points?
A It contains no points.
B It contains one point.
C It contains two points.
D It is a line.
E It is a circle.

Answers

The set of all points in the plane that are the same distance from all three points is a circle.


The set of all points in the plane that are the same distance from all three points forms the circle that passes through all three points as the circumcircle. The circumcircle can be easily constructed by drawing the perpendicular bisectors of PQ and PR. These two perpendiculars meet at the center of the circumcircle, which is equidistant from all three points. So, option (E) It is a circle is the correct answer.

Therefore, the set of all points in the plane that are the same distance from all three points is a circle.

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34.75


Write the expanded form.

Answers

Answer:

30 + 4 + .7 + .05

Step-by-step explanation:

You have to write them like that just like if you were to do 245 in expanded form it would be 200 + 40 + 5! Hope this helps!


The equation for the materials quantity variance is
(AQ × AP) – (SQ × SP).
(AQ × AP) – (AQ × SP).
(AQ × SP) – (SQ × SP).
(SQ × AP) – (SQ × SP).

Answers

The equation for the materials quantity variance is (AQ × AP) – (SQ × SP).

The materials quantity variance is a measure of the difference between the actual quantity (AQ) of materials used and the standard quantity (SQ) of materials that should have been used, multiplied by the standard price (SP) per unit. The variance indicates whether more or fewer materials were used compared to the standard, and it quantifies the cost impact of the difference.

The formula (AQ × AP) – (SQ × SP) calculates the materials quantity variance by multiplying the actual quantity (AQ) by the actual price (AP) per unit and subtracting the product of the standard quantity (SQ) and the standard price (SP) per unit. This formula directly compares the actual and standard quantities and calculates the cost impact of any deviations.

Therefore, the correct equation for the materials quantity variance is (AQ × AP) – (SQ × SP).

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x^2+4y^2=36 the lenght of the major axis is?

Answers

Answer:

Step-by-step explanation:

x² + 4y² = 36

divide by constant

x²/36 + y²/9 = 1

x²/6² + y²/3² = 1

6>3, so length of major axis is 2×6 = 12

It's harder than it sounds

8\2(2+2)

Would it be 1? Or would it be 16? Try it. Correct answer gets brainliest

Answers

Answer:16

Step-by-step explanation:

Using PEMDAS:

8 / 2 * (2+2)

Parentheses first: 8 / 2 * (4)

Then go left to right: 8/2 = 4, 4 * 4 = 16.

8/2(2+2)

It will be 16.

What value will make the equation true?


-4.2 - x = -2 2/4

A.-6.7

B.1.7

C.-1.7

D.6.7

Answers

Answer:

C. -1.7

Step-by-step explanation:

-4.2 - x = -2 2/4

-2 2/4 = -10/4 = -2.5

-4.2 - x = -2.5

-x = 1.7

x = -1.7

So, the answer is C. -1.7


The FAFSA4caster cannot help students:
O A. decide which colleges to apply to.
O B. plan for upcoming expenses.
O C. learn about how to pay for college.
O D. perform better on standardized tests.

Answers

Answer:

is D perform better on standardized test

Step-by-step explanation:

IT IS CORRECT TRUST! you welcome

You have the following information about Burgundy Basins, a sink manufacturer. 20million Equity shares outstanding Stock price per share Yield to maturity on debt $ 38 9.5% Book value of interest-bearing debt $ Coupon interest rate on debt Market value of debt 345 million 4.3% $ 240 million $ 400 million Book value of equity Cost of equity capital Tax rate 11.6% 35% Burgundy is contemplating what for the company is an average-risk investment costing $36 million and promising an annual A $4.8 million in perpetuity. a. What is the internal rate of return on the investment? (Round your answer to 2 decimal places.) Answer is complete and correct. Internal rate of return 13.33 % b. What is Burgundy's weighted-average cost of capital? (Round your answer to 2 decimal places.) Answer is complete but not entirely correct. Weighted-average cost 9.49 %

Answers

The internal rate of return on the investment for Burgundy Basins is 13.33%.

How can the internal rate of return on the investment for Burgundy Basins be described?

The internal rate of return on the investment for Burgundy Basins represents the percentage return expected from the investment, which is 13.33% in this case. It indicates the rate at which the investment's net present value is zero, meaning it is expected to generate returns equal to its cost. This makes the investment financially attractive as it offers a return higher than the company's cost of capital.

Burgundy Basins, a sink manufacturer, is considering an average-risk investment worth $36 million. The investment is projected to generate a perpetual annual return of $4.8 million. To evaluate the attractiveness of the investment, the internal rate of return (IRR) is calculated. The IRR represents the rate at which the net present value of the investment becomes zero.

In this case, the IRR is determined to be 13.33%, indicating that the investment offers a return higher than its cost. This implies that the investment is financially viable and can potentially enhance the company's profitability. However, it's important to note that other factors such as market conditions and potential risks should also be taken into consideration before making a final decision.

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(−100) ÷ {200 − (14 − (−16) ) × 5} + 10 =

Answers

Answer: 8

Step-by-step explanation:

= (-100) ÷ (200 - (14 + 16) x 5) + 10

= (-100) ÷ (200 - 30 x 5) + 10

= (-100) ÷ (200 - 150) +10

= (-100) ÷ 50 + 10

= -2 + 10

=8

Answer:   8

Step-by-step explanation:    Remember BIDMAS, order of operations (brackets, indices, division, multiplication, addition, subtraction), since we have multiple brackets inside one another we'll start with the most inner brackets and then work from there.

14-(-16) = 30

30 x 5 = 150

200 - 150 = 50

(-100) ÷ 50 = -2

-2 + 10 = 8

if ahmod has 2 times as many dimes as nickels and they have a combined value of 100 cents, how many of each coin does he have?

Answers

Finally ahmod will have 4 nickels and 10 dimes.

Ahmod has two times as many dimes as nickels.

They have a combined value of 100 cents.

Group all coins in sets by grouping each nickel with 2 dimes.

Each set, containing 1 nickel and 2 dimes, is worth 5 + 2*10 = 25 cents.

You will have 100/25 = 4 such groups

As we have 4 such groups at last ahmod will have 4 nickels and 10 dimes.

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Penelope has a birdhouse that is 4 and 9/10 feet
above the roof of her garage. She has a second
birdhouse that is 5.36 feet below the roof of
her garage. What is the distance between the
birdhouses?

Answers

Answer:

The distance between the bird houses are 10.26 feet

Step-by-step explanation:

The distance between the birdhouses is 10.26 feet.

What is simplification?

A mathematical expression gets simpler when it is transformed into an equivalent, frequently shorter statement. One strategy for promoting uniformity in job effort, cost, and time is procedure simplification. It lessens diversity and variation that is harmful, unwanted, or unneeded.

Given, Penelope has a birdhouse that is 4 and 9/10 feet above the roof of her garage. She has a second birdhouse that is 5.36 feet below the roof of her garage. thus,

Distance between garage roof and birdhouse = 4.9 feet

Distance between garage roof and second birdhouse  = 5.36 feet

Since these birdhouses are in the opposite directions of the garage roof

Hence the total distance between them = 4.9 + 5.36

the total distance between birdhouses is 10.26 feet

Therefore, the Two birdhouses are 10.26 feet apart from each other.

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Which of the following expressions are equivalent to -9.7. -0.8. -7.8. -3.8? Choose all answers that apply:
A. 9.7.-0.8.-7.8.-3.8.
B. -9.7.0.8. 7.8.-3.8
C. None of the above​

Answers

Answer:

A.

it’s a because i just got it right on the test

Answer:

its A cause i got it right

Step-by-step explanation:

for the boys

Based on the line of best fit, how much money would a company most likely spend on advertising if the company's yearly revenue was $80,000? $3.000​

Answers

Answer:

I dont understand the qustion? did you answer it?

Step-by-step explanation:

Answer:

$83,000

Step-by-step explanation:

because it said most likely

What is the connection string for SQL Server using Windows Authentication?

Answers

The connection string for SQL Server using Windows Authentication is as follows:

Server=myServerAddress;Database=myDataBase;Trusted_Connection=True;

Specify the server address in the format "Server=myServerAddress". Replace "myServerAddress" with the name or IP address of the SQL Server instance you want to connect to.

Specify the name of the database you want to connect to in the format "Database=myDataBase". Replace "myDataBase" with the name of the database.

Use Windows Authentication by setting "Trusted_Connection=True". This means that the user running the application is authenticated using their Windows credentials, rather than a SQL Server login.

Use semicolons (;) to separate the different parts of the connection string.

Using Windows Authentication is a more secure and convenient way to connect to a SQL Server database, as it eliminates the need to store and manage login credentials in the application.

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Find the least number which must be added to 6203 to obtain a perfect square.
Also, find the square root of the number so obtained.​

Answers

Answer:

78.7591264553

Step-by-step explanation:

search google

copy answer sorry that is all I got

A rectangle is 5 inches high and 7 inches wide. what is the perimeter?

Answers

Answer:

24 inches

Step-by-step explanation:

The perimeter would be 2l + 2w

2(5) + 2(7)

24 inches

a function f is given, and the indicated transformations are applied to its graph (in the given order). write the equation for the final transformed graph. f(x)

Answers

The equation for the final transformed graph is h(x) = - (x + 6)²

To find the equation for the final transformed graph after applying the given transformations to the function f(x) = x², we will apply each transformation step by step.

1. Shift 6 units to the left:

To shift the graph 6 units to the left, we subtract 6 from the original function:

g(x) = f(x + 6) = (x + 6)²

2. Reflect in the x-axis:

To reflect the graph in the x-axis, we take the negative of the function:

h(x) = -g(x) = - (x + 6)²

Therefore, the equation for the final transformed graph is h(x) = - (x + 6)².

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The given question is given, the complete question is below

A function f is given, and the indicated transformations are applied to its graph (in the given order). Write the equation for the final transformed graph.

f(x) = x²; shift 6 units to the left and reflect in the x-axis

What are the number of distinct subsets and number of distinct proper subsets for {a,b,c,d,e,f}?{a,b,c,d,e,f}?

Answers

{a,b,c,d,e,f} each have 63 distinct subsets, including distinct proper subsets.

Explain about the Subset Theory?A subset is a part of the a universal set mathematically, which implies that every element in the given set is likewise a component of the entire set.For instance, a set A is only referred to as the subset of such a set B if and only if both sets' items are present in the set A. a subset's symbolic representation: A ⊆ B.The formula: = 2ⁿ . where n is the total number of items in the set, can be used to calculate the total number unique subsets of a set.

Currently, an empty set always makes up this number of subsets.

There are:

in all, appropriate subsets.

= 2ⁿ - 1

Given set: {a,b,c,d,e,f}

Total number of digits in the set :

n(S) = 6

Thus,

The total number of subsets in this given set:

= 2ⁿ

= 2⁶

= 64

There are always an empty set in this amount of subsets.

Thus, there are 63 appropriate subsets in all of the given set.

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An iPhone is on sale for $450. It originally cost $500. What percent off is the sale offering?

Answers

Answer:

10%  off

Step-by-step explanation:

n your own words, what is a limit? - In your own words, what does it mean for a limit to exist? - What does it mean for a limit not to exist? - Provide examples of when the limits did/did not exist.

Answers

A limit refers to a numerical quantity that defines how much an independent variable can approach a particular value before it's not considered to be approaching that value anymore.

A limit is said to exist if the function value approaches the same value for both the left and the right sides of the given x-value. In other words, it is said that a limit exists when a function approaches a single value at that point. However, a limit can be said not to exist if the left and the right-hand limits do not approach the same value.Examples: When the limits did exist:lim x→2(x² − 1)/(x − 1) = 3lim x→∞(2x² + 5)/(x² + 3) = 2When the limits did not exist: lim x→2(1/x)lim x→3 (1 / (x - 3))

As can be seen from the above examples, when taking the limit as x approaches 2, the first two examples' left-hand and right-hand limits approach the same value while in the last two examples, the left and right-hand limits do not approach the same value for a limit at that point to exist.

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Suppose a consumer's utility function is given by: \[ U=x^{1 / 5} y^{4 / 5} \] This is an example of a Cobb-Douglas model. The Cobb-Douglas model is used extensively in economics. a) Set y=1 and graph the marginal utility of x; put marginal utility on the vertical axis and x on the horizontal axis. Your graph does not have to be perfect, but it should have the correct shape. b) What is the MRS for this consumer? Explain in words what the MRS is.

Answers

a) To graph the marginal utility of x, we need to find the derivative of the utility function with respect to x. Given that y=1, the utility function becomes U=x^(1/5). Taking the derivative of U with respect to x, we get dU/dx = (1/5)x^(-4/5). This represents the marginal utility of x.

When we graph the marginal utility of x, we put the marginal utility on the vertical axis and x on the horizontal axis. Since x^(-4/5) is positive for all positive values of x, the graph of the marginal utility of x will have a positive slope that decreases as x increases. The shape of the graph will resemble a downward-sloping curve that approaches zero as x approaches infinity.

b) The MRS (Marginal Rate of Substitution) for this consumer is the rate at which the consumer is willing to trade one good for another while keeping the total utility constant. In this case, the MRS is the negative ratio of the marginal utility of x to the marginal utility of y. Mathematically, MRS = -(dU/dx)/(dU/dy).

Since y is a constant and dU/dy = 0, the MRS simplifies to MRS = -(dU/dx)/0 = undefined. This means that the consumer is not willing to trade any amount of y for x, as the marginal utility of y is zero. The consumer only derives utility from x and does not value y in terms of marginal utility.

The graph of the marginal utility of x will have a positive slope that decreases as x increases. The MRS for this consumer is undefined, indicating that the consumer does not value y in terms of marginal utility.

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