At the restaurant i 23 Σ π, they have 13 appetizer, 23 soup, 24 entree, and 18 dessert options. How many unique 4-course meals

Answers

Answer 1

Answer:

129168

Step-by-step explanation:

they have 13 appetizer, 23 soup, 24 entree, and 18 dessert options.

Number of 4 course meal ( all unique) that can be made

=13C1×23C1×24C1×18C1

= 13×23×24×18 = 129168

Answer 2

Hence, [tex]129168[/tex] unique [tex]4-[/tex]course meals can be created.

Combination:

The combination is a way of selecting items from a collection, such that (unlike permutations) the order of selection does not matter. In smaller cases, it is possible to count the number of combinations.

Given that,

[tex]13[/tex] appetizer   [tex]23[/tex] soup    [tex]24[/tex] entree   [tex]18[/tex] dessert

[tex]4-[/tex]course meal can be prepared as follows:

[tex]13_C_{1}\times23_C_{1} \times24_C_{1} \times18_C_{1}[/tex]   (use combination for each given)

Note: [tex]n_C_{r} =[\frac{n!}{r!(n-r)!} ][/tex]

[tex]13_C_{1}\times23_C_{1} \times24_C_{1} \times18_C_{1}\\=13\times23\times24\times18\\=129168[/tex]

Learn more about the topic of Combination: https://brainly.com/question/11732255


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Answer:

2ab+2a

Step-by-step explanation:

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Answer:

(5,-3) *red* i cant tell wht it says very well

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Write the word sentence as an equation. Then solve the equation. The quotient of a number and $-1.5$ is $21$ . Equation: Question 2 Solution: $x=$

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IM BEGGING PLEASE HELP One angle of the triangle is 30% larger than the other and 36 ° smaller than the third. Find the angles of the triangle.

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9514 1404 393

Answer:

  52°, 40°, 88°

Step-by-step explanation:

Let x represent "one angle". This is 30% larger than "the other", so we have ...

  x = "the other" × (1 +30%)

  x/1.30 = "the other"

If x is 36° smaller than the third, then the third is x+36.

__

The sum of the angles is 180°.

  x + x/1.3 + (x +36) = 180

  x(2 +1/1.3) = 144

  x = 144/(2 +1/1.3) = 52

  x/1.3 = 52/1.3 = 40

  x +36 = 88

The angles of the triangle are 52°, 40°, and 88°.

A line passes through the point (-1, -2) and has a slope of 5.

Write an equation in slope-intercept form for this line.

Answers

Answer:

[tex]y=5x+3[/tex]

Step-by-step explanation:

Slope-intercept form: [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of y when the line crosses the y-axis)

1) Plug the given slope 5 into the equation

[tex]y=mx+b\\y=5x+b[/tex]

2) Find the y-intercept [tex]b[/tex] by plugging in the point (-1,-2)

[tex]y=5x+b\\-2=5(-1)+b\\-2=-5+b[/tex]

Add 5 to both sides

[tex]-2+5=-5+b+5\\3=b[/tex]

3) Plug the y-intercept back into the equation

[tex]y=5x+3[/tex]

I hope this helps!

1/5 as a decimal and rounded to the nearest tenth

Answers

Answer:

0.2

Step-by-step explanation:

1 divided by 5

2/5=0.4

3/5=0.6

4/5=0.8

5/5=1

40 to a ratio of 2:3

Answers

Answer: 16:24

Step-by-step explanation:

add the ratio so 2+3=5

Divide from 40 so 40/5=8

multiply by individual ratios

2*8:3*8= 16:24

Could anyone help me with this question? Thank you!

Answers

Answer:

C

Step-by-step explanation:

We want to simplify the rational expression:

[tex]\displaystyle \frac{n^4-11n^2+30}{n^4-7n^2+10}[/tex]

First, we can factor both the numerator and the denominator. This yields:

[tex]\displaystyle =\frac{(n^2-6)(n^2-5)}{(n^2-2)(n^2-5)}[/tex]

Cancel like terms:

[tex]\displaystyle =\frac{(n^2-6)}{(n^2-2)}[/tex]

However, since we canceled a term from our expression, we must place restrictions in order to stay true to the original expression.

Rational expressions are undefined whenever the denominator equals 0. The denominator is (before canceling):

[tex](n^2-2)(n^2-5)=0[/tex]

Solve for n. By the zero product property:

[tex]n^2-2=0\text{ and } n^2-5=0[/tex]

Therefore:

[tex]n^2=2\text{ and } n^2=5[/tex]

By taking the square root of both sides (since we are taking an even root, it is required to have plus/minus):

[tex]n=\pm\sqrt{2}\text{ and } n=\pm\sqrt5[/tex]

Therefore, our fully simplified expression is:

[tex]\displaystyle \frac{n^2-6}{n^2-2}\, ,n\neq \pm\sqrt5, \pm\sqrt2[/tex]

Hence, our answer is C!

solve simultaneously
[tex] {2}^{x} + {3}^{y} = 9 \\ {2}^{x + 2} - {3}^{y + 1} = 8[/tex]

Answers

Answer:

I hope this helps you :)

Answer:

2x+3y=9

2x+2-3y+1=8

2x-3y=8

2x-3y+3y=8+3y

2x=8+3y

2x=8+3y

2      2

x=8+3y

    2

2(x) +3y=9

2* (8+3y)/2 +3y=9

(16+6y)/2)+3y=9

2*(16+6y)/2)+3y=9

16+6y+6y=18

6y+6y=18-16

12y=2

12y = 2

12      12

y=2

  12

y=0.16666666666667

2x+3 (0.16666666666667)=9

2x+0.5=9

2x=9-0.5

2x=8.5

2x = 8.5

2       2

x=8.5

    2

x=4.25

List the four reasons given by governments for determining how to use land in the interest of the public.

pls help me

Answers

Answer: health, safety, morals and general welfare.

Step-by-step explanation: Governments have justified their actions in determining how land is used with the four interests of health, safety, morals, and general welfare.  

(PLEASE MARK BRAINLIEST)

what microsofttamurchen said

Step-by-step explanation:

GIVE THEM BRAINLIEST !!

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Answer:

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Answer:

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John can play 12 songs on his guitar but learns 1 new song every week. Aiden can play 4 songs but learns 2 every week

Answers

Given :

John can play 12 songs on his guitar but learns 1 new song every week. Aiden can play 4 songs but learns 2 every week.

To Find :

How many weeks will it be before Aiden knows as many songs as john?

Solution :

Let, after x weeks Aiden know a songs and John know j songs.

The linear equation for both the situation is :

a = x + 12       .....( For Aiden )

j = 2x + 4       ......( For John )

We need to find in which week Aiden knows as many songs as John.

For this , a = j

x + 12 = 2x + 4

x = 8

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Answer:

The picture is just a black screen. Please tell me the question in the comments and I will try to help!

Step-by-step explanation:

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Answers

Answer:

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A 60$ purse is on sale for 10% give the sell price

Answers

Answer:$54

Step-by-step explanation:

60(0.9) = $54

answer:

$54

step-by-step explanation:

sale means a decrease from the original amountsince there is a sale of 10%, we would multiply by 90% since we are trying to find the sale price

60 X 90% - - > 60 X 0.90

you can convert 90% into 0.90 so it is easier to multiply

60 X 0.90 = 54

= $54

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Answer:

on which on do you need help on but let me know

Step-by-step explanation:

huh

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∅ = 22.33°

Step-by-step explanation:

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at a school, 40% of the sixth grade students said that hip hop is their favorite kind of music. if 100 sixth grade students perfer hip hop music, how many sixth grade students are at the school?

Answers

Answer:

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

9514 1404 393

Answer:

  50°

Step-by-step explanation:

Angle DEG is also angle DEC. It subtends arc DC as does inscribed angle DFC. Inscribed angles that subtend the same arc have the same measure.

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Answers

Answer:

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Step-by-step explanation:

Answer:

[tex]4x^2 + 6x^2 - 15x + 5[/tex]

Step-by-step explanation:

Hello!

We can add like terms.

The terms that we see here are [tex]x^3, x^2, x,[/tex] and integer values.

We can combine like terms by adding the coefficients.

Add[tex](6x^2 - 9x + 6)+(4x^3 - 6x)[/tex][tex]6x^2 - 9x + 6 + 4x^3 - 6x[/tex][tex]4x^3 + 6x^2 - 9x - 6x + 6[/tex][tex]4x^2 + 6x^2 - 15x + 5[/tex]

Order: Highest degree to lowest degree. The final expression is [tex]4x^2 + 6x^2 - 15x + 5[/tex]

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Answers

Answer:

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Step-by-step explanation:

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Answers

it would be 132°

because all the angles on a hexagon together =720. so you will subtract each known angle to find the missing. 720-135-112-112-88-141=132

Find the volume of the cone. Round your answer to the nearest tenth.

The volume of the cone is about ____ cubic inches.

Answers

It would be 16.75 cubic inches
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1/3(3.14)(2^2)(4)

Help me with this!!!

Answers

Answer:

The coordinate of the midpoint is -2 1/2.

Step-by-step explanation:

Think of "midpoint" as "average" in this problem.  The average of the endpoints -10 and 5 is (-10 + 5)/2, or -5/2, or -2 1/2

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