A restaurant chef has designed a new set of dishes for his menu. His set of dishes contains 10 10 main courses, and he will select a subset of them to place on the menu each night. To ensure variety of main courses for his patrons, he wants to guarantee that a night's menu is neither completely contained in nor completely contains another night's menu. What is the largest number of menus he can plan using his 10 10 main courses subject to this requirement

Answers

Answer 1

Answer:

252 menu

Step-by-step explanation:

Total number courses, n = 10

The largest number of menu the chef can plan using his 10 main courses.

There are various combinations of menu obtainable from the available courses :

Ranging from :

nC0 to nCn

The largest number of menu he can plan is the highest output obtainable between :

10C0 to 10C10

10C0 = 1

10C1 = 10

10C2 = 45

10C3 = 120

10C4 = 210

10C5 = 252

10C6 = 210

10C7 = 120

10C8 = 45

10C9 = 10

10C10 = 1

Hence, the largest number of menu he can plan using his 10 main courses is 252


Related Questions

The following expression represents the profit made by John as he mows
lawns: P = 20L - 100
Which description correctly interprets each part of the expression?

Answers

Answer:

P is price per lawn, 20 is the money made per lawn, L is the number of lawns mowed, 100 is his initial cost.

Step-by-step explanation:

a patients dose of medication increased from 100mg to 150mg. What is the percent increase in medication?

Answers

Answer:

The answer is 50% increase. Hope this helped!

Step-by-step explanation:

50% is the correct answer to this problem hope it helps

Question 7 (3 points) Write this decimal division as equivalent whole number division. 19.05 ÷ 1.5 = ÷ Find the quotient.

Answers

Answer:

~12.7~

Step-by-step explanation:

hope this helps brainlest!

Which statement best describes g(x) = 3 x + 6 - 8 and the parent function f(x) = 3x ?

The domains of g(x) and f(x) are the same, but their ranges are not the same.
The ranges of g(x) and f(x) are the same, but their domains are not the same.
The ranges of g(x) and f(x) are the same, and their domains are also the same.
The domains of g(x) and f(x) are the not the same, and their ranges are also not the same.

Answers

Answer:

The answer is C: the ranges of g(x) and f(x) are the same, and their domains are also the same.

Step-by-step explanation:

Just took the test on edge!! :)

Option C The ranges of g(x) and f(x) are the same, and their domains are also the same is correct.

What is domain?

List of values of x an equation can satisfy is called Domain.

What is range?

List of values y the function can generate is called range

For example, f(x)=x

it can satisfy real domain i.e. x∈R

and range is R

g(x) = 3 x + 6 - 8 and f(x) = 3x

Domain for both the function is R

Both the function can satisfy all the real numbers, so its range is also R.

Therefore,Option C The ranges of g(x) and f(x) are the same, and their domains are also the same is correct.

Learn more about domain and range,

https://brainly.com/question/2264373

#SPJ2

The local park has a circular pond with a radius of 9 feet. What is the pond's circumference?

Answers

Answer:

Using 3.14 as pi, the answer would be 56.52, and using just pi (as in the input on a calculator) would be 56.54867.

Step-by-step explanation:

The equation for circumference of a circle is C = πd, C representing the circumference and d representing the diameter. Since the equation shows the radius, the equation can also be C = 2πr, since the radius is half of the diameter. Multiply nine by two to get eighteen. 18 times 3.14 = 56.52.

PLEASE I NEED HELP I GOT A PUPPY AND IM EXHAUSTED HE DOESNT SLEEP AT NIGHT

Answers

Answer:

False

Step-by-step explanation:

Plug 16 into the function as x

16+12=28

4≠28

True or false?is the point(16,4) included in this function: Y=2x or Y=x2 or y= x+12 or y=x-12

Answers

Answer:

True

Step-by-step explanation:

It is true because the graph of [tex]y=x-12[/tex] passes through the point [tex](16,4)[/tex]

x = 16

y = 4

Substitute

4 = 16 - 12

4 = 4

Therefore, the answer is true.

6x+12 in its simplest form?

Answers

Answer:

It is already in simplest form.

Step-by-step explanation:

Answer:

Already in simplest form

Step-by-step explanation:

I mean you could do 6(x+2) but its already in its simplest form.

what is -2 x 3 i do not understand this and this is my last problem

Answers

Answer:

-6

Step-by-step explanation:

if they were both positive numbers, it would be 6. But when you multiply a negative by a positive, the answer is negative.

Answer:

-6

Step-by-step explanation:

When you multiply a positive number by another positive number, you will always get a positive number as your answer. Same thing for negative. If you multiply a negative by a negative, you will always get a positive. However, when you multiply a negative by a positive, you will always get a negative number.

Since you know this, you can multiply 2 by 3, which is 6. Because 2 is negative and 3 is positive, you know that the answer must be negative. Therefore, you add the negative symbol to 6, giving you -6.

I hope this isn't too confusing. Please let me know if you have any more questions. Good luck!


1. Observa el siguiente conjunto de enteros (-1,0, 1)

A. ¿Cuál de las propiedades de los números reales son verdaderas
para el conjunto?

Answers

Answer:

no hablo espanol papas fritas papas fritas papas fritas papas fritas papas fritas papas fritas papas fritas papas fritas

Step-by-step explanation:

pleeeaassee First person get brainliest!!!!

Answers

Answer:

D. 32 inches 65-33=32 so its 32 inches

Step-by-step explanation:

plz help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

a 12/20 = 0.6

b 21/35 = 0.6

c 28.8/48 = 0.6

HELPPP I MAKE BRAINLIESTT

A seamstress charges a $5 fee per garment, plus $15 for each hour of work that the garment requires. The graph below shows the cost of having a single garment fixed by the seamstress, according to the number of hours of work that are needed.



Which linear function models the data?

A. c(t) = 5t

B. c(t) = 15t

C. c(t) = 5 + 15t

D. c(t) = 15 + 5t

Answers

Answer:

C. c(t) = 5 + 15t

Step-by-step explanation:

Well because the initial fee is $5, the answer must have the value of 5 without a variable next to it because this is the y-intercept.

(Only the slope will have the t next to it.)

Because $15 is charged EACH HOUR this would be the slope because there is a constant increase

Therefore c(t) = 5 + 15t

Answer:

C. c(t) = 5 + 15t

Step-by-step explanation:

She charges $15 per hour, so each hour (represented by "t") she earns 15 dollars. She also charges a $5 fee per germent. So she would get $5 plus 15 times however many hours she worked. So your answer would be c(t) = 5 + 15t.

The height of one cylinder is 8 cm, and the radius of its base is 5 cm. The height of a second cylinder is 24 cm, and the radius of its base is 5 cm. How many times the volume of the first cylinder is the volume of the second cylinder?

Answers

Answer:

Step-by-step explanation:

volume₁ = π5²·8 = 200π cm³

volume₂ = π5²·24 = 600π cm³

volume₂ = 3×volume₁

Answer:

It is 3, hopefully you got a good score! :D

Step-by-step explanation:

Of the pets in the pet show, 10/12 are cats. 6/10 of the cats are calico cats. What fraction of the cats are calico cats?

Answers

Answer:

6/10, simplified 3/5

Step-by-step explanation:

kinda tricky, but the fraction is stated right out.

Answer:

3/5

Step-by-step explanation:

8+8+8=24 as multiplecation sentence

Answers

Answer

Hola la respuesta que buscas es bastante simple pero no lo sé

Step-by-step explanation:

Which statement about the ordered pair (-6,8) is true?

Answers

Answer:

a

Step-by-step explanation:

solve for y in one equation

2x + y = -4

y = -4 - 2x

plug y into the other equation

5x + 3y = -6

5x + 3(-4 - 2x) = -6

5x -12 -6x = -6

-x - 12 = -6

-x = 6

x = -6

plug x into the equation to find y

y = -4 - 2x

y = -4 - 2(-6)

y = 8

ordered pair: (-6,8)

When f ( x ) = 9 x 2 + x − 5 , evaluate f ( − 4

Answers

Answer:

is that supposed to be a squared x?

9(-4)^2 + (-4) - 5 = 135

9(-4) × 2 + (-4) - 5 = -81

id.k which one is right sorry

F ( x ) = 9 x 2 + ( -4 ) - 5. 18 - 4 - 5. 12-5. 7

The graph of a line and and exponential intersect twice, once, or not at all. Describe the possible number of intersections of each of the following pairs of graph. Your solution to each part should include all of the possibilities and a quickly sketched example of each one. (Part 1)(SHOW WORK)

a. A line and a parabola

b. Two different parabolas

Answers

a) A line can intersect a parabola at 2 points, 1 point, or no points respectively. The only possible way at which it intersects at 1 point, would be if it were tangent to the parabola. [Check first attachment]

b) Two different parabolas can intersect at 2 points, 1 point or no points respectively. [Check second attachment]

It is possible for 2 parabolas to intersect at 4 and even 3 points. But one of the parabolas would be on it's side. You can consider those cases.

What is the perimeter and area of the composite figure?

Answers

Step-by-step explanation:

▪AB = AC - EF

= 13 cm - 7 cm

= 6 cm

▪BD = CF - DE

= 16 - 8 cm

= 8 cm

BC = EF

perimeter = CF + EF + DE + AD + AB + BC

= 16 + 7 + 8 + 10 + 6 + 7

= 54 cm

Area of triangles = 1/2 × AB × BD

= 1/2 × 6 × 8

= 48/2

= 24 cm²

Area of rectangle = CF × EF

= 16 × 7

= 112 cm²

the total area = 24 + 112

= 136 cm²

#CMIIW

Find the value of the ratio x ÷ y if the equation is 5x²-13xy+8y²​

Answers

Answer:

x÷y=8/5 or 1÷1

Step-by-step explanation:

Please mark as brainliest

Please help I need it

Answers

Answer:

A. Yeah

Step-by-step explanation:

A. I think what that guy said is right

what is the value of x ?
a. 10.4
b. 52
c. 61.6
d. 92

Answers

the answer is 10.4 because 180 - 128 is 52 then divide by 5 which gives you 10.4 :)

calculate the volume of a liquid with a density of 5.45g/km and a mass of 65g ​

Answers

Answer:

11.93 ml

rounded to two significant figures: 12ml

Step-by-step explanation:

65/5.45=11.93 ml

Please mark me as brainliest

Use the figure to find the measures of the numbered angles.

Answers

Answer:

1 = 81 degrees

2 = 99 degrees

3 = 81 degrees

4 = 99 degrees

5 = 81 degrees

6 = 99 degrees

7 = 81 degrees

Answer:

Step-by-step explanation:

1 = 81 degrees

2 = 99 degrees

3 = 81 degrees

4 = 99 degrees

5 = 81 degrees

6 = 99 degrees

7 = 81 degrees

Help please plzzzzzzzz

Answers

Answer:

60

Step-by-step explanation:

120 + 90 + 90 + 60 = 360

If one-fourth of 2^30 is equal to 2^x, what is x?

Answers

Answer:

28

Step-by-step explanation:

1/4 can be rewritten as  1 / (2^2)

or 2^-2.

using the 2nd form,

we have 2^-2 * 2^30 = 2^x

By exponent rule

2^28 = 2^x

So we can observe now that x = 28

Answer:

23

Step-by-step explanation:

The table below shows Greg's scores at a state golf tournament. What is Greg's
average score for the five rounds?

A. -4
B. -3
C. -2
D. -1

Answers

B I believe is the answer

Answer: d

Step-by-step explanation:

You add all of his scores up and divide them by how many numbers there are which 3+1+ -3+ -2+ -4 equals -5 and you divide them by the five numbers which gives you one

If the critic rates a total of 100 movies, what is the best prediction for the number of movies she gives exactly 3 stars?
А
27
B
47
50
D
35

Answers

Answer:

I think its gonna be 35 I'm not sure

In the sketch below, two parallel lines are cut by a transversal.

Answers

Answer:

m<1 = 150°

Step-by-step explanation:

Given:

m<1 = (4x + 50)°

m<2 = (7x - 25)°

Required:

m<1

Solution:

To find m<1, we need to create an equation that will enable us determine the value of x.

Thus,

4x + 50 = 7x - 25 => corresponding angles are congruent to each other

4x + 50 - 7x = 7x - 25 - 7x (subtraction property of equality)

-3x + 50 = - 25

-3x + 50 - 50 = -25 - 50 (substraction property of equality)

-3x = -75

-3x/-3 = -75/-3 (division property of equality)

x = 25

✅m<1 = (4x + 50)°

Plug in the value of x

m<1 = 4*25 + 50 = 100 + 50

m<1 = 150°

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