the number if baskets nikki can make varies directy with the time she spends making the baskets she can make 4 baskets in 1/2 an hour how many baskets can nikki make in 5 hours

Answers

Answer 1

Answer:

40 baskets

Step-by-step explanation:

Find out how many baskets she can make in an hour. Since she makes 4 in 1/2 an hour, multiply 4 by 2 to find out how much she makes in an hour. She makes 8 baskets an hour, so multiply 8 by 5. 8 x 5 = 40.

Answer 2

Answer:

40 Baskets

Step-by-step explanation:

4 x half an hour = 8 baskets an hour. 8 x 5 = 40


Related Questions

Evaluate: (-10 + 15)/-3

Need answer asap​

Answers

Answer:

5/3

Step-by-step explanation:

Answer: If you meant this as a fraction then your answer will be -1 2/3 or -5/3... But if you didn't mean the slash mark before the -3 then your answer will be 2.

Hope this helps... Stay safe and have a great day!!! :D

Solve the following equation for x 2x+22y=18

Answers

Answer:

x = -9 + 11y

Step-by-step explanation:

Simplifying

2x + -22y = -18

Solving

2x + -22y = -18

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '22y' to each side of the equation.

2x + -22y + 22y = -18 + 22y

Combine like terms: -22y + 22y = 0

2x + 0 = -18 + 22y

2x = -18 + 22y

Divide each side by '2'.

x = -9 + 11y

Simplifying

x = -9 + 11y

Hope this helps!!

PLZ HELP!!! WILL GIVE U BRAINLIEST!!!

Answers

Answer:

Graph B is correct

(3,-1)

Step-by-step explanation:

Convert to slope-intercept form and find them on graph.

Answer:

Graph B and (3,-1)

Step-by-step explanation:

Step: Solve x−2y=5 for x:

x−2y=5

x−2y+2y=5+2y (Add 2y to both sides)

x=2y+5

Step: Substitute 2y+5 for x in 3x+15y=−6:

3x+15y=−6

3(2y+5)+15y=−6

21y+15=−6 (Simplify both sides of the equation)

21y+15+−15=−6+−15 (Add -15 to both sides)

21y=−21

(Divide both sides by 21)

y=−1

Step: Substitute−1for y in x=2y+5:

x=2y+5

x=(2)(−1)+5

x=3(Simplify both sides of the equation)

Answer:

x=3 and y=−1 or (3,-1)

Andy runs 43.68 meters in 6.825 seconds. If Andy runs at a constant speed, how far does he run in one second?

Answers

Answer:

7 meters

Step-by-step explanation:

A cardboard tube used for storing posters has the shape of a cylinder. It is 100 centimeters long and has a diameter of 8 canimeters. What is the volume of the tube

Answers

Answer:

[tex]Volume = 5028.6cm^3[/tex]

Step-by-step explanation:

Given

[tex]Height = 10cm[/tex]

[tex]Diameter = 8cm[/tex]

Required

Determine the volume

The volume of a cylinder is calculated as thus:

[tex]Volume = \pi r^2h[/tex]

Where [tex]r = radius[/tex]

[tex]r = \frac{1}{2} * Diameter[/tex]

[tex]r = \frac{1}{2} * 8cm[/tex]

[tex]r = 4cm[/tex]

[tex]h = 100cm[/tex]

Take

[tex]\pi = \frac{22}{7}[/tex], so we have

[tex]Volume = \pi r^2h[/tex]

[tex]Volume = \frac{22}{7} * 4^2 * 100[/tex]

[tex]Volume = \frac{22}{7} * 16 * 100[/tex]

[tex]Volume = \frac{22 * 16 * 100}{7}[/tex]

[tex]Volume = \frac{35200}{7}[/tex]

[tex]Volume = 5028.6cm^3[/tex]

11
Linda had a ribbon that measured foot long. She cut the ribbon into as
12
1
many -foot-long pieces as possible. What is the length of the leftover ribbon?
8

Answers

Answer:1/24

Step-by-step explanation:

Answer:

1/24

Step-by-step explanation:

: )

Write the decimal form for the number name below. Six hundred six thousandths

Answers

Answer:

600.006 would be the answer

Type the correct answer in each box. Use numerals.
Solve the given system of equations.
2y = -x + 9
3x - 6y = - 15
The solution to the system is ( __ , __ )

Answers

2y=-x+9
6y=3(-x+9)

3x-3(-x+9)=-15
3x-(-3x+27)=-15
3x+3x-27=-15
6x=-15+27
6x=12
x=2

2y=-2+9
2y=7
y=7/2

Answer is (2 ; 7/2)

Express each sum in sigma-notation

1 + 1/4 + 1/9 + 1/16 + ... + 1/400

Answers

9514 1404 393

Answer:

  [tex]\displaystyle\sum\limits_{n=1}^{20}{\dfrac{1}{n^2}}[/tex]

Step-by-step explanation:

We notice that the denominator of each term is the square of the term number, so the last term must be the 20th. The sum is then ...

  [tex]\displaystyle\sum\limits_{n=1}^{20}{\dfrac{1}{n^2}}[/tex]

A car and a truck leave the same intersection, the truck heading north at 60 mph and the car heading west at 55 mph. At what rate is the distance between the car and the truck changing when the car and the truck are 30 miles and 40 miles from the intersection, respectively?

Answers

Answer: -81

Step-by-step explanation:

Let x = the car moving towards west = 30

Let y = truck moving towards north = 40

dx/dt = -55

dy/dt = -60

We the use Pythagoras theorem to solve further where,

s² = x² + y²

s² = 30² + 40²

s² = 900 + 1600

s² = 2500

s =✓2500

s = 50

We then differentiate with respect to t, then we will have:

s² = x² + y²

2s ds/dt = 2x ds/dt + 2y dy/dt

50 ds/dt = (30 × -55) + (40 × -60)

50 ds/dt = -1650 - 2400

50 ds/dt = - 4050

ds/dt = -4050/50

ds/dt = -81

2) Here are boxplots of the points scored during the first 10 games of the basketball season for both Ca and Alexandra. Summarize the similarities and differences in their performance so far.​

Answers

Answer:

Following are the similarities and differences to this question:

Step-by-step explanation:

In the given question, both girls have such a mean performance of about 17 points per game throughout this issue, however, Sciurine is much more consistent. Your IQR becomes approximately 2 levels and Alexandra is greater than 10.

Unit 4: Linear Equations
Homework 6: Writing Linear equations (given two points)
Please tell me someone has the answers for every problem on here! I'm desperate, and I will probably fail this algebra class if I don't have this HW done. Please respond quick!

Answers

do what the other person’s answer is :)

There are 49 dogs signed up to compete in the dog show. There are 36 more small dogs than large dogs signed up to compete. How many small dogs are signed up to compete?

Answers

Answer:

Small=36

Large=13

Step-by-step explanation:

As given there are 49 dogs signed up

36 are small so the equation is

36+x=49

x=49-36

x=13

So 13 large dogs and 36 small dogs

find the lowest number of four digits that can be divided by 22,36,and 42​

Answers

Answer:

find the lcm of 22,36,and 42

Step-by-step explanation:

lcm of 22 = 11 x 2

lcm of 36 = 2 x 2 x 3 x 3

lcm of 42 = 2 x 3 x 7

so the lcm of three numbers are 11 x 2 x 2 x 2 x 3 x 3 2 x 3 x 7 = 1000

Answer:

2,772

Step-by-step explanation:

First we find the LCM (Least common multiple) of the given numbers.

2 | 22, 36, 42

2 | 11, 18, 21

3 | 11, 9, 21

3 | 11, 3, 7

7 | 11, 1, 7

11 | 11, 1. 1

| 1, 1, 1,

LCM of 22, 36, 42 = 2*2*3*3*7*11 = 2,772

Thus, the lowest number of four digits that can be divided by 22,36,and 42 is 2772.

Which of the following is not an example of using the distributive property to multiply 12 times 22?
O 12(20 + 2)
o 22(10 + 2)
O 10(2.22)

Answers

the last answer 10(2.22)

Answer:

The third one.

Step-by-step explanation:

Both A and B are correct and should give you the same answer when you apply the distributive property.

12 * 20 + 2 * 12  = 240 + 24 = 264

22(10) + 22*2 = 220 + 44 = 264

The third one just give anything near 264.

Find the maximum value and the minimum value of the function and the values of x and y for which they occur.
P 19x-5y60, subject to 5x + 9ys 45, 0 s ys4, and 0sx < 6 and y
The maximum value occurs where x =_______ and y occurs where x_________
The minimum value (Do not round until the final answer. Then round to two decimal places as needed.)

Answers

Answer:

i have autism and adhd and add and dmdd so plz dont yell at me that i did not answer it!!!

Step-by-step explanation:

What is the domain of f(x)=5x-7

Answers

Answer:

(-infinity, infinity)

Step-by-step explanation:

You’re welcome, sorry I couldn't out the symbols. I don't have them on my keyboard :).

Answer:

R (all real numbers)

R (all real numbers)

Step-by-step explanation:

I need this done like rn so please help!

Answers

Answer:

No, because the number in 2011 multiplied by three is less than the number in 2015.

Step-by-step explanation:

i dunno just makes sense

Answer:

I think that it did not because 555*3 is not 900 so it can't equal it.

Step-by-step explanation:

Please answer this correctly without making mistakes

Answers

Answer:

$7.20

Step-by-step explanation:

Chocolate chip pancake mix is $2/lb, and you need 3 pounds. 2 x 3 = 6, so it the mix will cost $6.

Buttermilk pancake mix is $3/lb. You need 1/10 of a pound, so divide 3 by 10. When you divide a number by 10, move the decimal one place to the left. That means there is an extra 0 in front of the 3, so the price is $0.30.

Plain pancake mix is $1/lb. You need 9/10 of a pound. 9/10 of 1 is 0.9, so it will cost $0.90.

Add the prices together, and you have $7.20.

Which statement could the expression 13 + x represent? Andrea has 13 eggs and bought 13 more. Victoria has 13 flowers. This is greater than the number of flowers Elisa has. Prakhar is 13 years older than his youngest sister. Kai is 13 blocks from home. Jack is a greater distance away.

Answers

Kai is 13 blocks from home. Jack is a greater distance away.

In this statement, 13 would represent the distance Kai is from home.... x would equal how much further away Jack is.

Hope this helps!!! Have an amazing day!!!! :)

Prakhar is 13 years older than his youngest sister. :) <3

A construction company is building a small deck for a customer and plans to use for the two boards that are 12 3/4 feet, four boards that are 13 5/8 feet, and two boards that are 10 1/2 feet. Find the total number of feet in all the boards

Answers

9514 1404 393

Answer:

  101 feet

Step-by-step explanation:

Multiply the number of boards by the length of the boards, and add the products.

  2(12 3/4) +4(13 5/8) +2(10 1/2) = 25 1/2 +54 1/2 +21 = 101

The total length of the boards is 101 feet.

At​ noon, a tank contained 5 cm of water. After several​ hours, it contained 4 cm of water. What is the percent decrease of water in the​ tank?

Answers

Answer:

20%

Step-by-step explanation:

Given parameters:

Initial volume of water = 5cm³

New volume of water = 4cm³

Unknown:

Percentage decrease of water in the tank = ?

Solution:

To find the percentage decrease;

  Percentage decrease  = [tex]\frac{Old - New}{Old}[/tex] x 100

 Percentage decrease  = [tex]\frac{5-4}{5}[/tex] x 100  = 20%

What is the 50th term in the sequence if the first term is 0
and the common difference is -7?

Answers

Answer:

-343

Step-by-step explanation:

tn=a+(n-1)d

0(50-1)*-7

-343

A ratio can be expressed __ as a description, with a ___ , or as a ___.

Answers

Answer:

Answer - words, colon, fraction

Step-by-step explanation:

A ratio can be expressed in words as a description, with a colon between 2 quantities, or as a fraction.

EXPLANATION:

A ratio is a statement of the quantitative relationship between two numbers in a given scenario.

- It can be expressed in words as a description of the relationship. E.g. "Ratio 2 to 8"

- It can be expressed with a colon. E.g. "2:8"

- It can be expressed as a fraction. E.g. "2/8"

A pair of dice is rolled 180 times. What is the
probability that a total of 7 occurs
(a) at least 25 times?
(b) between 33 and 41 times inclusive?
(c) exactly 30 times?

Answers

Answer:

0.86433

0.29782

0.07966

Step-by-step explanation:

Given that :

Number of trials (n) = 180

Probability that a total of 7 occurs

To obtain a total of 7 from a pair of dice :

Combinations:

(1,6) ; (2,5) ; (3,4) ; (4,3) ; (5,2) ;(6, 1)

Sample space when a pair of dice is rolled = 6² = 36

Probability of success (p) = number of 7

combination possible ÷ sample space)

p = 6 / 36 = 0.1667

q = p' = 1 - p = 1 - 0.1667 = 0.8333

Using Normal approximation :

Mean (m) = np = 180 * 0.1667 = 30.006

Standard deviation (σ) = √npq

σ = √(180 * 0.1667 * 0.8333)

σ = 5.0003999

σ = 5.00

(a) at least 25 times?

P(x ≥ 25)

x = 25 - 0.5 = 24.5

Obtain the Zscore :

Z = (x - m) / σ

Z = (24.5 - 30) / 5

Z = -5.5/5

Z = -1.1

P(z ≤ - 1.1)

USing the z probability calculator :

P(z≥ - 1.1) = 0.86433

(b) between 33 and 41 times inclusive?

P(32.5 ≤ x ≤ 41.5)

Z =[ (32.5 - 30) / 5] ≤ x ≤ [ (41.5 - 30) / 5]

Z = 2.5/5 ≤ x ≤ 11.5 /5

Z = 0.5 ≤ x ≤ 2.3

Using z probability calculator :

P(z ≤ 0.5) = 0.69146

P(z ≤ 2.3) = 0.98928

0.98928 - 0.69146 = 0.29782

(c) exactly 30 times?

P(x = 30)

P(29.5 ≤ x ≤ 30.5)

Z =[ (29.5 - 30) / 5] ≤ x ≤ [ (30.5 - 30) / 5]

Z = - 0.5/5 ≤ x ≤ 0.5 /5

Z = - 0.1 ≤ x ≤ 0.1

Using z probability calculator :

P(z ≤ - 0.1) = 0.46017

P(z ≤ 0.1) = 0.53983

0.53983 - 0.46017 = 0.07966

Using the normal approximation to the binomial, it is found that there is a:

a) 0.8643 = 86.43% probability that a total of 7 occurs at least 25 times.

b) 0.2978 = 29.78% probability that a total of 7 occurs between 33 and 41 times inclusive.

c) 0.0796 = 7.96% probability that a total of 7 occurs exactly 30 times.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].

In this problem:

When 2 dice are rolled, there are 36 possible outcomes, of which 6 of them[(1,6), (2,5), (3,4), (4,3), (5,2), (6,1)] result in a sum of 7, thus the parameter p is [tex]p = \frac{1}{6}[/tex].The pair of dice are rolled 180 times, thus [tex]n = 180[/tex].

The mean and standard deviation are given by:

[tex]\mu = np = 180\frac{1}{6} = 30[/tex]

[tex]\sigma = \sqrt{np(1-p)} = \sqrt{180\frac{1}{6}\frac{5}{6}} = 5[/tex]

Item a:

Using continuity correction, this probability is [tex]P(X \geq 25 - 0.5) = P(X \geq 24.5)[/tex], which is 1 subtracted by the p-value of Z when X = 24.5. Hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{24.5 - 30}{5}[/tex]

[tex]Z = -1.1[/tex]

[tex]Z = -1.1[/tex] has a p-value of 0.1357.

1 - 0.1357 = 0.8643.

0.8643 = 86.43% probability that a total of 7 occurs at least 25 times.

Item b:

Using continuity correction, this probability is [tex]P(33 - 0.5 \leq X \leq 41 + 0.5) = P(32.5 \leq X \leq 41.5)[/tex], which is the p-value of Z when X = 41.5 subtracted by the p-value of Z when X = 32.5. Hence:

X = 41.5

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{41.5 - 30}{5}[/tex]

[tex]Z = 2.3[/tex]

[tex]Z = 2.3[/tex] has a p-value of 0.9893.

X = 32.5

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{32.5 - 30}{5}[/tex]

[tex]Z = 0.5[/tex]

[tex]Z = 0.5[/tex] has a p-value of 0.6915.

0.9893 - 0.6915 = 0.2978.

0.2978 = 29.78% probability that a total of 7 occurs between 33 and 41 times inclusive.

Item c:

Using continuity correction, this probability is [tex]P(30 - 0.5 \leq X \leq 30 + 0.5) = P(29.5 \leq X \leq 30.5)[/tex], which is the p-value of Z when X = 30.5 subtracted by the p-value of Z when X = 29.5. Hence:

X = 30.5

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{30.5 - 30}{5}[/tex]

[tex]Z = 0.1[/tex]

[tex]Z = 0.1[/tex] has a p-value of 0.5398.

X = 29.5

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{29.5 - 30}{5}[/tex]

[tex]Z = -0.1[/tex]

[tex]Z = -0.1[/tex] has a p-value of 0.4602.

0.5398 - 0.4602 = 0.0796.

0.0796 = 7.96% probability that a total of 7 occurs exactly 30 times.

A similar problem is given at https://brainly.com/question/19054425

May u please help me ill give out the brainly

Answers

Answer:

sorry type it out

Step-by-step explanation:

What is the exact angle between the clock hands at 6:45:00 PM? Plz show work

Answers

Answer:

90°

Step-by-step explanation:

angle on a straight line=180 and half of 180=90°

Answer:

67.5°

Step-by-step explanation:

You know the long hand would be at number 9 and you also know that from the number 6 to 9 it would be 90°. Between each number, there are also 5 smaller marks on the clock. Thus, for 90°, there would be 5×3=15 smaller marks. (I used 3 because between 6 and 9 there are 3 big numbers)

Now here's the trickier part: There are 60 minutes within 5 small marks. We can find out at which mark does the shorter hand move to at 45 minutes.

[tex]\frac{45}{60}[/tex]×5 = 3.75

Out of the 15 smaller marks of 90°, the 45th minute stands at 3.75. The angle of 3.75 would then be between the 15th mark and the 3.75th mark. The gap would be 15-3.75 = 11.25 marks.

[tex]\frac{11.25}{15}[/tex] ×90° = 67.5°

You can refer to the picture for better visualisation of the clock. Hope this helps.

pleaseee I need help​

Answers

Answer:

whith whut

Step-by-step explanation:

9) Solve: a^2+ b^2= c^2 for b

Answers

Answer:

b = ±√(c² - a²)

Step-by-step explanation:

Given equation

a²+ b²= c²

Solving for b:

b² = c² - a²√b² = √(c² - a²)b = ±√(c² - a²)

Answer:

b = ±√(c² - a²)

Step-by-step explanation:

We have to get the value of B.

Step 1: (b squared = c squared - a squared)

b² = c² - a²

Step 2: (cube root of b squared = cube root of c squared and a squared)

√b² = √(c² - a²)

We get the answer as:

b = ±√(c² - a²)

PLEASE HELP

The equation of a line in the point-slope form is show below.
5 - 9 = {* - 2)
What is the slope of this line?
OC 5

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]y - 9 = \frac{1}{5} (x - 2) \\ [/tex]

[tex]y - 9 = \frac{1}{5} x - \frac{2}{5} \\ [/tex]

Add sides 9

[tex]y -9 + 9 = \frac{1}{5} x - 0.4 + 9 \\ [/tex]

[tex]y = \frac{1}{5} x + 8.6 \\ [/tex]

[tex]y = \frac{1}{5} x + \frac{43}{5} \\ [/tex]

This is the slope-intercept form.

Remember from now on ,

The coefficient of x is the slope of the line in slope-intercept form of the linear functions.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Thus ,

Slope = 1 / 5

And the correct answer is (( D )) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

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If a writer provides three details to support the first subject in a comparison-and-contrast essay, the writer shouldA.give three details to support the second subject.B.include several examples for the second subject.C.supply at least four details to support the second subject.D.provide fewer details for the second subject. This weekend the hardware store is having a blowout sale, where everything is discounted 40%. A weed eater originally sells for $145. How much will the weed eater cost during the blowout sale? A department store buys 500 shirts at a cost of $13,500 and sells them at a selling price of $30 each. Find the percent markup. plzz help plzz Arrange these decimals from least to greatest.6.00, 0.56, 0.060, 0.6, 0.0560.56, 0.60, 0.056, 0.060, 6.000.056, 0.060, 0.56, 0.60, 6.006.00, 0.60, 0.56, 0.60, 0.05625. Arrange these decimals from least to greatest.-6.00, -0.56, -0.060, -0.6, -0.056-0.6, -0.56, -0.056, -0.060, -6.00-6.00, -0.6, -0.56, -0.060, -0.05626. 3/4 and 10/12equivalentnot equivalent Which Egyptian ruler built many new temples during the New Kingdom period?Multiple choice question.A) Amenhotep IVB) Ramses IIC) Seti ID) Tutankhamen Where does the energy for photosynthesis come from? What 2 raw materials are needed by plants in order to preform photosynthesis? "I took a trip to the mountains." Does this paint a picture for your reader?Assuming that the reader has never seen a mountain, the reader is able tosomewhat visualize what you meant. However, the picture the reader has may bevery different from what you actually mean. After all, there are many different typesof mountains. Write a sentence or two to describe how you might feel. Use youVivid Language (paint a clear picture of what is being described, hold the readersattention)Ready? I got 3 mins pls help Why did the colonists feel that they were not being treated fairly? At the Beltway Outlet store, you buy x computer games for 13$ each and a magazine for 4$. Write an expression in simplest form that represents the total amount of money you spend. Someone please help Put 20 ml (approximately 2 table spoon ) of water in a small clear transparent bottle.Add 1/2 teaspoon of sugar and stir.What is the appearance of the solution 12. Define mass. How does the mass of a body change in deep space? -5w = -80. solve for w. the blues and greens of the color spectrumassociated with water, sky, ice, and cooler temperatures Who was a famous conservationist who traveled the west and advocated for protecting wildlife?A: John MuirB: John Wesley PowellC: Rachel CarsonD: Woodrow Wilson Which could be the length of DB 500 POINTS PLEASE HELP ASAP PLEASE AND THANK YOU!!!!!!!!!!:/ 1 MORE MINUTE!! HURRY What was the Marshall Plan?An alliance between the Soviet Union and its satellite nations.The Soviet's plan to create an atomic bomb.The U.S. plan to airlift supplies to Berlin.A U.S. aid program to rebuild the economies of Europe after World War II. Reflect on why Rizal highlighted the Story of the Moth in the last chapter of his Memorias. What was the message intended by Rizal through the this story? Is the moral of the story still applicable for today's generation?What does the light symbolize? True/False: Plants take phosphorous directly out of the atmosphere. Find the values of x and y!!(help please) please help, i really need this answerRead the following scenario:A cooking magazine is producing a feature article about a celebrity chef. The interviews and photo sessions are complete, but the chef has not produced recipes for the magazine to publish. Two weeks before the magazine is set to print, the chefs attorney calls the magazine and says that the chef will no longer be publishing recipes at this time. Which would the managing editor most likely do in this situation?Contact another celebrity chef with whom the magazine has close ties and ask that person to do a last minute feature with his recipes.Work with the chefs television production company to secure archived recipes for print in the magazine, paying for the rights to use the original recipes in the publication.Ask the magazines test kitchen team to research and recreate some of the chefs most popular dishes with all new recipes the magazine will own.Talk to the magazines attorney about suing the chef for breach of contract.