A restaurant has 4 appetizers, 5 entrees and 2 desserts. How many different meal combinations could you order?

Answers

Answer 1

Step-by-step explanation:

1.) Firstly, you need to count out how many things there are. 4 app, 5 entrees, 2 desserts. This makes 11 different things

2.) for 11 numbers there can be 9 ways for each number for 1st nine places since 0 can't be the fist figure and next two are reciprocated from 10 numbers. Therefore 10!/2!

3.)So 99 combinations have 10!/2! Permutations hence total ways are 99*10!/2!


Related Questions

What percent is 18 out of 20

Answers

Answer:

it's 90%

Step-by-step explanation:

1. Divide 18 by 20 and you will get a decimal form answer

2. Then you multiple it by 100 and you will get your answer which is 90.00%

18 out of 20 is 90 percent.

What percent is 18 out of 20?

To find the percentage of 18 out of 20, you can follow these steps:

1. Divide the given number (18) by the total number (20).

18 ÷ 20 = 0.9

2. Multiply the result by 100 to get the percentage.

0.9 × 100 = 90

Therefore, 18 out of 20 is 90 percent.

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A bag contains yellow marbles and green marbles, 38 in total. The number of yellow marbles is 6 less than 3 times the number of green marbles. How many yellow marbles are there?

Answers

Answer:

3n - 6 = 38

3n -6 + 6 = 38 + 6

3n = 44

3n/3 = 44/3

n = 44/3

Step-by-step explanation:

1. set up the equation (the - affect the 6 not the 3)

2. add 6 to both sides

3. divide both sides by 3 to get n

?/20 = 4/5
How do I make this equivalent

Answers

You have

[tex]\dfrac{x}{20}=\dfrac{4}{5}[/tex]

Multiply both sides by 20:

[tex]20\cdot\dfrac{x}{20}=\dfrac{4}{5}\cdot 20[/tex]

The equation becomes

[tex]x=16[/tex]

Hi

X/20 = 4/5 ⇒  X =   20*4 /5  =   5*4*4 /5 = 16/1 =16

16/20 = 4/5

The price of an item yesterday was $90. Today, the price fell to $63. Find the percentage decrease.

Answers

Final answer:

The percentage decrease in price from $90 to $63 is 30%.

Explanation:

To find the percentage decrease in price, we need to calculate the difference between the old price ($90) and the new price ($63), and then divide that difference by the old price. Finally, we multiply the result by 100 to get the percentage.

Step 1: Calculate the difference: $90 - $63 = $27

Step 2: Divide the difference by the old price: $27 / $90 = 0.3

Step 3: Multiply the result by 100 to get the percentage: 0.3 * 100 = 30%

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Ethan borrowed $2,190 for a new dirt bike. He will pay the money back in 3 years with a simple interest rate of 2.5%. How much interest will he pay?

Answers

Answer:

The interest ethan will pay is $164.25

Step-by-step explanation:

To calculate the interest paid by ethan on the borrowed bike using the formula.

Simple Interest = Principal * rate * time/100

Principal =  $2,190, rate = 2.5%, time = 3years

On substitution

SI = [tex]\frac{2190*3*2.5}{100}[/tex]

[tex]SI = \frac{16,425}{100}\\ SI= $164.25[/tex]

The interest ethan will pay is $164.25

Final answer:

Ethan will pay $164.25 in interest for the loan he took for a new dirt bike, calculated using the formula for simple interest (I = PRT) with P as the principal ($2,190), R as the rate (2.5% or 0.025), and T as the time (3 years).

Explanation:

To calculate simple interest, you can use the following formula: I = PRT, where I is the Interest, P is the principal amount (original amount borrowed), R is the interest rate (in decimal form), and T is the time in years. In this case, the principal amount is $2,190, the interest rate is 2.5% or 0.025 as a decimal, and the time is 3 years.

You would then plug these values into the formula to get:

I = 2190 * 0.025 * 3

After calculating that, we would find that Ethan will pay $164.25 in interest.

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Kyle is painting the front door of his house. The dimensions of the door are 80 inches by 36 inches by 2 inches. If he paints all of the surfaces, how much area will he paint?

Answers

Answer:

its 5760ins

Step-by-step explanation:

80 inches * 36 inches * 2 inches = 5760 inches3

good day, and be safe

∵∴∵∴∵∴∵∴∵      

⊕ΘΞΠΤ⊕      

∵∴∵∴∵∴∵∴∵

if a=2, b= -1, c= -3 and d= -2 find :
1/2bc-6ac+2ab
1/4(ac)² +1/6ac

Answers

Answer:

34

8

Step-by-step explanation:

1/2bc - 6ac + 2ab

(1/2)(-1)(-3) - (6)(2)(-3) + (2)(2)(-1)

(1/2)(4) - (-36) + (-4)

2 + 36 - 4

34

1/4(ac)² + 1/6ac

(1/4)[(2)(-3)]² + (1/6)(2)(-3)

(1/4)(-6)² + (1/6)(-6)

(1/4)(36) + (-1)

9 - 1

8

MATH HELP 10 PTS

A rectangular gardens length is 6 feet longer than it’s width. if the perimeter can be represented by P(x)= 4x + 12.

What is the width and length of the garden if the perimeter is 32 ft?

Answers

Answer:

The width is 5 and the length is 11

Step-by-step explanation:

The formula for perimeter is

P = 2(l+w)

We know the perimeter is 32

32 = 2 (l+w)

Divide each side by 2

32/2 = 2(l+w)

16 = l+w

We know the length is 6 longer than the width

l = w+6

16 = w+6+w

Combine like terms

16 = 2w+6

Subtract 6 from each side

16-6 = 2w+6-6

10 = 2w

Divide by 2

10/2 = 2w/2

5 =w

The length  is

l = w+6

   5+6 = 11

Please help out before 8pm !!

Answers

Answer:

170 degrees

Step-by-step explanation:

In a parallelogram, adjacent angles are supplementary, meaning that they add up to 180 degrees. This means that x+10=180, or that x=170 degrees. Hope this helps!

PARA HORNEAR UN PASTEL DE UN KILO SE NECESITA ENTRE OTROS INGREDIENTES UN TERCIO DE HARINA Y 3 CUCHARADAS DE VAINILLA CUANTA VAINILLA ES NECESARIA 3 KILOS Y MEDIO

Answers

Answer: 10 + 1/2 spoons of vanilla.

Step-by-step explanation:

This question says:

For 1kg of cake, we need 1/3 kg of flour and 3 spoons of vanilla.

How much vanilla do we need if we want to make a cake of 3 + 1/2 kg?

Ok, if for 1kg we need 3 spoons, then for (3 + 1/2)kg we need (3 + 1/2) times 3 spoons, this is:

(3 + 1/2)*3 spoons

=3*3 + 3/2 = 9 + 3/2 = 9 + 2/2 + 1/2 = 10 + 1/2

We need 10 + 1/2 spoons of vanilla.

Judith scores an 85 on 19 of the 25 math tests she took this year. What is the experimental probability that she will score an 85 or higher on her next test? Write the probability as a percent.

Answers

Answer:

The answer is %33,33.

Step-by-step explanation:

Depending on the information given in the question, we can see that Judith received a score of 85 or higher in one of her three tests.

So we can calculate her probability of receiving 85 or higher as 100/3 = %33,33.

I hope this answer helps.

A pencil holder shaped like a triangular prism is shown in the picture the height of the pencil holder is 12 cm,and the volume of the pencil holder is 216 cm.what is the area of the base of the pencil holder in square centimeters

Answers

The area of the base of the triangular prism-shaped pencil holder is 18 square centimeters, calculated by dividing the given volume of 216 cm³ by the height of 12 cm.

The question asks for the area of the base of a pencil holder with a given volume and height, shaped like a triangular prism. To find the area of the base of the pencil holder, we can use the formula for the volume of a prism: Volume = Base Area  imes Height. Since the volume and height are given, we can rearrange the formula to solve for the Base Area as follows:

Base Area = Volume / Height

Plugging in the values given:

Base Area = 216 cm³ / 12 cm

Base Area = 18 cm²

Therefore, the area of the base of the pencil holder is 18 square centimeters.

Cylinder r=3 H=16
cone d=6 H=9​

Answers

Answer:

C =  144*pi  cubic units  (cylinder)

V  =  27*pi cubic units (cone)

Step-by-step explanation:

Cylinder r=3 H=16

cone d=6 H=9​

I know what you mean.

You want volume.

C = (pi)*r^2 * h

V = (1/3)*(pi) *r^2 * h   for a cone

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

C = (pi) * (3)^2 * 16 =  144*pi  cubic units  (cylinder)

V = (1/3)*(pi)*(3^2) * 9 =  27*pi cubic units (cone)

Captain Jessica has a ship, the H.M.S. Khan. The ship is two furlongs from the dread pirate Michael and his merciless band of thieves. The Captain has probability 1 2 2 1 ​ start fraction, 1, divided by, 2, end fraction of hitting the pirate ship. The pirate only has one good eye, so he hits the Captain's ship with probability 1 6 6 1 ​ start fraction, 1, divided by, 6, end fraction. If both fire their cannons at the same time, what is the probability that both the pirate and the Captain hit each other's ships?

Answers

Answer:

1/12

Step-by-step explanation:

If the Captain hits the pirate ship, it won't affect whether she's also hit by the pirate's cannons (and vice-versa), because they both fired at the same time. So, these events are independent.

Since they are independent, in order to get the probability that both the pirate and the Captain hit each other's ships, we just need to multiply together the probability that the captain hits and the probability that the pirate hits.

The probability that the Captain hits is 1/2

The probability that the pirate hits is 1/6

So, the probability that both the pirate and the Captain hit each other's ships is 1/2 * 1/6 = 1/12

Final answer:

The probability that Captain Jessica and the pirate Michael hit each other's ships simultaneously is 0.0835 or 8.35%, calculated by multiplying the individual probabilities of each hitting the other's ship (0.5 for Captain Jessica and approximately 0.167 for the pirate).

Explanation:

To calculate the probability that both Captain Jessica and the pirate Michael hit each other's ships when they fire their cannons at the same time, we must consider each event independently and then multiply the probabilities of the two events since they are independent. Le'ts calculate the combined probability step-by-step.

First, we know that Captain Jessica has a probability of hitting the pirate ship which is ½ or 0.5.

Second, the dread pirate Michael has a probability of hitting the Captain's ship which is ⅙ or approximately 0.167 (1 divided by 6).

Since these are independent events, we multiply the two probabilities to find the combined probability of both events occurring together: 0.5 * 0.167 = 0.0835.

Therefore, the probability that both Captain Jessica and the pirate Michael hit each other's ships simultaneously is 0.0835 or 8.35%.

there are_____in the listening process
There are
a. 6 steps
b. 5 steps
c. 3 steps
d. 10 steps
Please select the best answer from the choices provided

Answers

Answer:

5 steps.

Step-by-step explanation:

RecievingUnderstandingEvaluatingRememberingResponding

hope it helps!

They’re is 5 steps in the listening progress!

The radius of a circle is 1 foot. What is the diameter?
r=1 ft
Give the exact answer in simplest form.
feet

Answers

Final answer:

The diameter of a circle with a radius of 1 foot is 2 feet.

Explanation:

The radius of a circle is half the diameter. So, if the radius (r) of a circle is given as 1 foot, the diameter (d) is simply twice the radius. Therefore, the diameter is:

d = 2 × r

d = 2 × 1 ft

d = 2 ft

Hence, the diameter of the circle is 2 feet.

What is the inverse of f(x)= 1/5 x
Is it an inverse function?

Answers

Inverse function =5x
Final answer:

The inverse of the function f(x) = 1/5x is found by switching the roles of y and x, then solving for y. This results in the inverse function f^-1(x) = 5x, which undoes the effect of the original function.

Explanation:

The inverse of a function, in this case f(x) = 1/5x, is the function that will reverse the effect of the original function. In this case, to find the inverse function of f(x), you swap the roles of y and x in the original function and solve for y.

So, f(x) = 1/5x becomes x = 1/5y. Multiply both sides by 5 to get rid of the denominator on the y-side, which results in 5x = y. Thus, the inverse function is f^-1(x) = 5x.

It's indeed an inverse function as it reverses the effect of the initial function f(x).

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chapter 8 question 7
please help wil mark brainlyest

Answers

Answer:

0.72

Step-by-step explanation:

[tex] \cos \: 44 \degree = 0.7193398003 \\ \cos \: 44 \degree =0.72[/tex]

Type the expression that results from the following series of steps:
Start with
x
times by 9.

Answers

Answer:

Step-by-step explanation:

Given

x times by 9

Required

Write out an algebraic expression for the above.

Follow the instructions below to get the algebraic expression of the above.

1. First, write out the variable: x

2. Then write out an expression for "times by 9". This means multiply x by 9.

So, this gives x * 9.

x * 9 = 9x.

Hence, the expression for the above question is 9x

A Real estate agent Earned a commission of $6875 for selling a house. If the selling price of the house? Step by step plz

Answers

Can you ask the full question...?

−n+(−3)+3n+5 combine like terms

Answers

Answer:

(-3+5)+(3n-n) = 2+2n

Step-by-step explanation:

What is the upper and lower quartile of this set of data 15,19,20,25,31,38,41

Answers

Answer:

18 and 38

Step-by-step explanation:

Data set is given:

15,19,20,25,31,38,41

The lower quartile value is the median of the lower half of the data. The upper quartile value is the median of the upper half of the data.

Lower half of the data:

15, 19, 20

Lower quartile:

mid term of 15, 19, 20 = 19

Upper half of the data:

31, 38, 41

Upper quartile:

mid term of 31, 38, 41 = 38

Answer:

Upper: 38

Lower: 19

Step-by-step explanation:

~I hope this helps~

Which of the following is equal to the rational expression when x*-2 or 3?
X^2 +5x+6/X^2-X-6

Answers

Answer:

i am very sorry but i am trying to solve it so wait a few minutes please

Step-by-step explanation:

Answer: D

x+3/x-3

Step-by-step explanation:

Amy ran for president of the chess club, and she received 38 votes. There were 40 members in the club. What percentage of the club members voted for Amy?

Answers

Answer:

95%

Step-by-step explanation:

Step 1: 38/40= 0.95

Step 2: multiply 0.95x100= 95

(7-4n) x 6= I need the answer as quick as possible

Answers

Answer:

42 - 24n

Step-by-step explanation:

(7-4n)  6

Distribute

7*6 - 4n*6

42 - 24n

Answer:

42 x - 24 x n - i = 0

Step-by-step explanation:

Expand the following:

6 x (7 - 4 n) = i

6 x (7 - 4 n) = 6 x×7 + 6 x (-4 n):

6×7 x - 4×6 x n = i

6×7 = 42:

42 x - 4×6 x n = i

6 (-4) = -24:

42 x + -24 x n = i

Subtract i from both sides of 42 x - 24 x n = i:

42 x - 24 x n - i = i - i

-i + i = 0:

Answer:  42 x - 24 x n - i = 0

What is the slope of the line

Answers

Answer:

Step-by-step explanation:

(0,2)  (1,0)

[tex]slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{0-2}{1-0}\\\\=\frac{-2}{1}\\\\=-2[/tex]

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

Answers

Answer:

[Tex]A(t)=5000(0.7)^t[/tex]

Step-by-step explanation:

The problem presented is one in which the population of the bacteria  depreciates by a decay factor r every year.

Since it is a decay problem, we use the model:

[Tex]A(t)=P(1-r)^t[/tex]

Initial Population, P=5000

Decay Rate,r=30%=0.3

t=time interval

Therefore, the equation that represents this situation is:

[Tex]A(t)=5000(1-0.3)^t[/tex]

[Tex]A(t)=5000(0.7)^t[/tex]

The equation that represents this situation is y = 5000(0.7)ˣ

An exponential decay is given by:

y = abˣ

where a is the initial value of y, b is the rate of decay and y, x are variables.

Since the culture begins with 5000 cells, hence a = 5000. The cells die by 30% each year, hence b = 100% - 30% = 0.7

The equation is: y = 5000(0.7)ˣ

Therefore the equation that represents this situation is y = 5000(0.7)ˣ

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PLEASE HELP I need an explanation please if not thanks anyway

Answers

Answer:

V = 24 mi^3

Step-by-step explanation:

The volume is given by

V = l*w*h

V = 4*3*2

V = 24 mi^3

For a bookcase, Tim wants 6 shelves
each 28 1/2 inches long. What total length
of shelving does he need?

Answers

Answer:

171 inches

Step-by-step explanation:

6x28.5

Final answer:

The total length of shelving Tim needs for his bookcase is calculated by multiplying the number of shelves (6) by the length of each shelf (28 1/2 inches), which equals to 342 inches in total.

Explanation:

When understanding the total length of shelving needed, you can use the basic principle of multiplication in mathematics. In this particular question: bookcase shelving length, Tim wants to build a bookcase with 6 shelves and each shelf is 28 1/2 inches long. You would calculate the total length by simply multiplying the number of shelves by the length of each shelf.

So, 6 shelves * 28 1/2 inches = 57 * 6 = 342 inches. Hence, the total length of shelving Tim needs for his bookcase is 342 inches.

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If the circumference of a circle measures 3π cm, what is the area of the circle in terms of π?

Answers

Answer:

the area of the circle is [tex]2.25\pi\ cm^2[/tex].

Step-by-step explanation:

We have,

Circumference of a circle is 3π cm

Formula of circumference of a circle is given by :

[tex]C=2\pi r[/tex]

r is radius of circle

[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{3\pi }{2\pi}\\\\r=1.5\ cm[/tex]

Area of a circle is given by :

[tex]A=\pi r^2\\\\A=\pi (1.5)^2\\\\A=2.25\pi\ cm^2[/tex]

So, the area of the circle is [tex]2.25\pi\ cm^2[/tex].

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