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

Answer:

D

Step-by-step explanation:

Answer:

athe correct answer of this question is 6x + 3y = 5

Answer:

d

Step-by-step explanation:

Answer:

28 units and 7 units per minute.

Step-by-step explanation:

So if it's a negative number like -5 with a positive number, you have to add.

It would be like ( 5 + 23 ) = 28.

Since it took the bug 4 minutes, divide 28 ÷ 4.

28 ÷ 4 is 7 units per minute.

Sorry if it's wrong...

Answer:

He is wrong

Step-by-step explanation:

£1.30(cost of 1 egg box) x 2=£2.60

2.60(2 egg boxes)+2.60(price of juice)=£5.20(amount spent without baguettes)

10-5.20(amount spent without baguettes)=£4.80

4.80/3=£1.60

£1.60=cost of one baguette

Sam is wrong as the cost of one baguette is £1.60

Answer:

I think its B or C

Step-by-step explanation:

Answer:

Adeles forgot to square root 25 in step 4 therefore the solutions would be 1 and -9

Step-by-step explanation:

Equation : x² + 8x - 9 = 0

Step 1 : x² + 8x = 9

Step 2 :  x² + 8x + 16 = 9 + 16

Step 3 :  ( x + 4 )² = 25

Step 4 :  x + 4 = 25 or x + 4 = - 25

Step 5 :  x = 21 or x = - 29.

Answer:

V = 255.98189 pi

SA = 172.64114π

Step-by-step explanation:

The first thing to do is find the radius.

the measure of angle AKO = 1/2 the measure of angle AKB

m< AKO = 12.5 degrees

Now use trig to find AO (aka the radius)

tan(12.5) = AO/25

AO = 25* tan(12.5)

I'm leaving it like this to get a more accurate number

Now to find the volume

the volume of a cone is pir^2h/3

plugging everything in we get:

pi(25*tan(12.5))^2 * 25/3

which is about 255.98189 pi

Now for surface area

(this is the moment I realize symbols exist)

SA = πr(r+√h²+r²)

plugging everything in we have

π(25tan(12.5))((25tan(12.5)+√625+(25tan(12.5))^2)

I know it looks like a lot but that's mainly because I left the radius as 25tan(12.5)

The Surface Area is about 172.64114π

Answer:

x= 3/4

Step-by-step explanation:

x-1/4=1/2

 +1/4  +1/4

x=3/4

Answer:

look at the picture i sent..........

Answer:

three and four-eighths inches

Step-by-step explanation:

Given :

Tick 1 = 2/8 (1 data point)

Tick 2 = 3/8 (3 data points)

Tick 3 = 4/8 (2 data points)

Tick 4 = 5/8 (no points)

Tick 5 = 6/8 (2 data points)

Tick 6 = 7/8 (no data points)

Tick 2 = 3/8 (3 data points)

....

Tick 13 = 1 6/8 (2 data points)

Hence, total length of all meteors that are 1 6/8 inches :

Length of meteor = 1 6/8

Number of meteors = 2

(2 * 1 6/8) = 2 * 14/8 = 28/8 = 3 4/8 = 3 1/2

Answer:

three and four-eights inches

Step-by-step explanation:

Area of a trapezoid= (big base+small base)/2 x height

A=(67+54)/2 x 18

A=60.5 x 18

A=1089

Answer:

x = 49

Step-by-step explanation:

This is an inverse relationship and it implies that, an increase in the value of one variable results in a subsequent decrease in the value of another variable.

Given the mathematical expression and data;

y = 1/√x

y = 7 and x = 64

First of all, we would find the constant of proportionality, k;

y = k/√x

7 = k/√64

7 = k/8

k = 7 * 8

Constant, k = 56

Now, to find the value of x when y = 8

y = k/√x

Substituting the values, we have;

8 = 56/√x

Cross-multiplying, we have;

8 * √x = 56

√x = 56/8

√x = 7

Taking the square of both sides, we have;

(√x)² = 7²

x = 49

Answer: need more of an explanation

Step-by-step explanation:

Answer:

26 in.

Step-by-step explanation:

Since angles A and C are congruent, sides BC and BA are congruent.

7x - 13 = x + 29

6x = 42

x = 7

AC = 3x + 5

AC = 3(7) + 5

AC = 21 + 5

AC = 26

Answer: 26 in.

Answer: 44

Step-by-step explanation:

Answer:

3(2)+7(2)-9(2)+4(2)+10+12(2)

6+14-18+6+10+24

60-18

42

Answer:

2 / 35

Step-by-step explanation:

Answer:

Do u mean like 19/12

Step-by-step explanation:

Like 76/48 it will be 19/12

Hope I helped u!!

19/12 is the fraction which is represented by rate of 76 dogs to 48 cat​.

To write the given rate, "76 dogs to 48 cats," as a simplified fraction, you need to express the number of dogs as the numerator and the number of cats as the denominator.

Therefore, the simplified fraction is:

76/48

To simplify this fraction, you can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 4:

(76 ÷ 4) / (48 ÷ 4)

= 19/12

Hence, 19/12 is the fraction which is represented by rate of 76 dogs to 48 cat​.

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ6

Answer:

try dividing 161616 with 7 but I don't know what to do with the 6 sorry

Answer:

y=−1.5x−7

Step-by-step explanation:

mr. mole is descending as a constant rate, which means a linear equation. So, we must put it into slope-intercept form: y=mx + b, with m being slope or constant rate, and b being y-intercept

Answer:

The lab will have to wait 19.45 yers to safely store the material before disposal.

Step-by-step explanation:

Exponential equation for substance decay:

A exponential equation for the amount of a substance after t years is given by:

[tex]A(t) = A(0)(1-r)^{t}[/tex]

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Decays at 3.5% per year.

This means that [tex]r = 0.035[/tex]

So

[tex]A(t) = A(0)(1-r)^{t}[/tex]

[tex]A(t) = A(0)(0.965)^{t}[/tex]

How many years will the lab have to safely store the material before disposal?

It needs to reach half-life, that is, t for which A(t) = 0.5A(0). So

[tex]A(t) = A(0)(0.965)^{t}[/tex]

[tex]0.5A(0) = A(0)(0.965)^{t}[/tex]

[tex](0.965)^t = 0.5[/tex]

[tex]\log{(0.965)^t} = \log{0.5}[/tex]

[tex]t\log{0.965} = \log{0.5}[/tex]

[tex]t = \frac{\log{0.5}}{\log{0.965}}[/tex]

[tex]t = 19.45[/tex]

The lab will have to wait 19.45 yers to safely store the material before disposal.

Answer:

16a

Step-by-step explanation:

4a+12a=16a since they are the same variables.

Answer:

. (a) A scientist is doing an experiment on bacteria. She finds that the number ofbacteria in a test tube increase at a rate of 0.9% per hour.At 12 noon there are 4500 bacteria.At 3 pm, how many bacteria will be present? Give your answer to 3 significantfigures.

12pm 4500 bacteria1pm 4500 x 1.009 bacteria 2pm 4500 x 1.009 x 1.009 bacteria3pm 4500 x 1.009 x 1.009 x 1.009 bacteriaTherefore at 3pm there are 4620 bacteria present.

Answer: 4620 (3)(b) In another experiment with the same bacteria, the scientist counts 3000 bacteria.How many bacteria were there two hours prior to this measurement?Give your answer to 3 significant figures.

Now 3000 bacteria1 hour ago 3000 ÷ 1.009 bacteria 2 hours ago 3000 ÷ 1.009 ÷ 1.009 bacteriaTherefore 2 hours ago there were 2950 bacteria present

Answer: 2950

Step-by-step explanation:

Answer:

y=3x+19

Step-by-step explanation:

x=3

(-4,7)(x,y)

y-7/x_-4=3

y-7=3(x+4)

y=3x+12+7

y=3x+19

Step-by-step explanation:

here you have the answer

Answer:

C

Step-by-step explanation:

Answer:

63 un²

Step-by-step explanation

Formula for Triangle = 1/2(b*h)

------------------------------------------------------------

Lets input our numbers

b(base) = 21

h(height) = 6

------------------------------------------------------------

Lets multiply

1/2(6 x 21) =

1/2(126) = 63

Now add the units

63 un²

Answer:

By decreasing the production time for textiles

Step-by-step explanation: