Pizza Paradise offers 4 types of crust, 10 toppings, and 8 kinds of cheese for the mega calzone. How many different mega calzones can be made if a mega calzone contains 3 different toppings and 3 different cheeses

Answers

Answer 1

Answer:

26880 ways

Step-by-step explanation:

Given

[tex]Crust = 4[/tex]

[tex]Toppings = 10[/tex]

[tex]Cheese = 8[/tex]

Required

Determine the number of ways 3 toppings and 3 cheese can be selected

The number of crusts to be selected was not stated. So, I'll assume 1 crust to be selected from 4.

This can be done in [tex]^4C_1[/tex] ways

For the toppings:

3 can be selected from 10 in [tex]^{10}C_3[/tex] ways

For the cheeses:

3 can be selected from 8 in [tex]^{8}C_3[/tex] ways

Total number of selection is:

[tex]Total = ^4C_1 * ^{10}C_3 * ^{8}C_3[/tex]

Apply combination formula:

[tex]Total = \frac{4!}{(4-1)!1!} * \frac{10!}{(10-3)!3!} * \frac{8!}{(8-3)!3!}[/tex]

[tex]Total = \frac{4!}{3!1!} * \frac{10!}{7!3!} * \frac{8!}{5!3!}[/tex]

[tex]Total = \frac{4*3!}{3!*1} * \frac{10*9*8*7!}{7!*3*2*1} * \frac{8*7*6*5!}{5!*3*2*1}[/tex]

[tex]Total = \frac{4}{1} * \frac{10*9*8}{3*2*1} * \frac{8*7*6}{3*2*1}[/tex]

[tex]Total = 4 * \frac{720}{6} * \frac{336}{6}[/tex]

[tex]Total = 4 * 120* 56[/tex]

[tex]Total = 26880[/tex]

Hence, there are 26880 ways


Related Questions

33 is what percent of 200


Help ASAP

Answers

Answer:

16.5

Percentage Calculator: 33 is what percent of 200? = 16.5.

x + 3 = 0

y = 1

What is the solution of the system?

(3, 1)
(1, 3)
(1, -3)
(-3, 1)

Answers

Answer:

1 i think this is answer...

Harry borrows $2,500 to purchase furniture for his new
apartment. If he pays $202.00 per month for 1 year
and 3 months, how much total interest will he pay?
a. $202
b. $530 c. $3,030 d. $5,530

Answers

Answer:

The answer is C

Step-by-step explanation:

How did I make this equivalent fraction?
1
3
JI
4
12.
4
Qual a equivalência da fração

Answers

Answer:

Both the numerator and denominator were multiplied by 4

Answer:

find a number that is divisible by both the denominator and the numerator

Step-by-step explanation:

divide 4/12 by 4, so you get 1/3

what is 5 quarts converted to liters

Answers

Answer:

1 quart = 0.95 liters. with this said, we can conclude that 5 quarts equals 4.73 liters

Answer:

4.73176

Step-by-step explanation:

okay so this is the exact decimal but you can just write you answer as 4.73

hope this helps

Solve for x: 24x + 12 = 16

Answers

Answer:

x=1/6 or x=0.1666666667

Step-by-step explanation:

pls help asap no trolls!!

Answers

Answer:

10

Step-by-step explanation:13+4>а>13-4

a>9

Please help me again!!!!!!!!

Answers

Answer:

I agree with Mo.

Step-by-step explanation:

Considering Mo's chart;

0        Tth       Hth      Thth

           1            2          1           = 0.121

Considering Annie's chart;

0        Tth       Hth      Thth

           0         12          1           = 0.0121

From the results obtained from Mo and Annie's chart, only Mo's chart show a grid of of 0.121.

Thus, I agree with Mo.

Joe drove 12 miles in the morning and 165 miles
in the afternoon. How many miles total did he drive?
28
3
miles
28
6
miles
28
miles
28
miles

Answers

Answer:

Step-by-step explanation:

Speed: distance divied by time

Distance: speed times time

Time: distance divied by speed

What is the decimal multiplier to increase by 99%?

Answers

Answer:

1.99

Example:

Increase 10 by 99%.  99% of 10 is 9.9 so increased value would be 10 + 9.9 = 19.9

10 x 1.99 = 19.9 ... same answer

Step-by-step explanation:

Answer:

It is 1.99

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

Please determine x.

Answers

Answer: x=158

Explain: 3 triangle corners = 180
180-90-68 = 22
Flat corner = 180
=> x=180-22=158

A farm is to be built in the shape of Quadrilateral ABCD, as shown below. All four sides are equal.

A rhombus ABCD is shown with diagonal AC equal to 18. 3 feet and diagonal BD equal to 13.8 feet

What is the area of the farm? (1 point)

a
73.2 square feet
b
111.2 square feet
c
126.27 square feet
d
168.36 square feet

Answers

Answer:

c  126.27 square feet

Step-by-step explanation:

sum of two triangles

18.3 * (13.8/2) * 2 = 126.27

below is the graph of f'(x) the derivative of f(x) and has x intercepts at x = -3 x = 1 x = 2 and a relative maximum at x = -1.5 and a relative minimum at x = 1.5. Which of the following statement is true?

Answers

Answer:

A

Step-by-step explanation:

Answer: A

Step-by-step explanation:

it makes the most sense anyways heres a bernie sanders meme cause its giving me life

Heather studied for 30 minutes several days in a row. Before her test, she also studied for 10 more minutes. The total amount of time she spent studying was 280 minutes. Write and solve an equation to determine how many days she studied. Let d represent the number of days.

Answers

Answer:

9 days

Step-by-step explanation:

280=30d+10

270=30d

9=d

HELLLLLLPPPPPPPP plz need rest

Answers

Answer:

x = 5

Step-by-step explanation:

The opposite sides of a parallelogram must be parallel to each other, and this is shown by the equivalent opposite interior angles on each side of the bisector.

Since the opposite sides of a parallelogram are parallel, they must be of equal length (this is one of the fundamental properties of a parallelogram).

Therefore, we can set (18x - 5) and (16x + 5) equal to each other in an equation and solve for x.

18x - 5 = 16x + 5

Subtract 16x from both sides.

2x - 5 = 5

Add 5 to both sides.

2x = 10

Divide both sides by 2.

x = 5

The value of 5 for x must make ABCD a parallelogram.

Eugene sold half of his comic books and then bought eight more. He now has 32. With how many did he begin?

Answers

Answer:

48 books

Step-by-step explanation:

32-8 = 24

24= 1/2 of total

24x2=48

Answer=48 books

Check:

48/2=24

24+8=32

YAY!!

Answer:

48 comic books

Step-by-step explanation:

Let's use x as the amount that he originally had.

If he sold half of them, that would be:

(1/2)x

Then he bought 8 more, so you would add 8 to that total.

(1/2)x + 8

If he now has 32 then we need to set that equation to equal 32.

(1/2)x + 8 = 32

Subtract 8 from each side.

(1/2)x = 24

Then you will divide 24 by 1/2. That is the same thing as multiplying by 2.

So,

x = 48

Check work

(1/2)x + 8 = 32

(1/2)(48) + 8 = 32

Half of 48 is 24.

24 + 8 = 32.

32 = 32.

A room is 8 meters
long. How many
centimeters is the
room?

Answers

Answer:

800 centimeters:))

There is 800 cm in the room.

To convert a meter measurement to a centimeter measurement, multiply the length by the conversion ratio. The length in centimeters is equal to the meters multiplied by 100.

How many centimeters is the room?

A room is 8 meters long.

A room is 1 meter long = 100cm

A room is 8 metres long = 8*100cm = 800 cm.

Learn more about units on : https://brainly.com/question/20788801

#SPJ2

Pls I need the answer

Answers

Answer:

13/200

Step-by-step explanation:

so we grab the fraction:

6 1/2%

make it a decimal instead of a fraction

6.5%

divide it by 100 to get

6.5/100

and multiply it by 2 because decimals have no place inside fractions lol

13/200


Which property is illustrated by the statement 6 X 4=4 X 6?

Answers

Answer:

Commutative property

Step-by-step explanation:

Please help me with this question

Answers

Answer:

5 x 3/4 < 5

2 x 4/3 > 2

6 x 5/5 = 6

4/7 x 1/8 < 4/7

2/5 x 7/7 = 2/5

1/3 x 6/4 > 1/3

(I will give a brainliest)
Please help :)

Answers

so 0=6
1=8
3=12
5=16
total cost for 7 would be 20

Sandy has 15 roses, 3 daisies, and 12 tulips. She wants to arrange all the flowers in bouquets. Each bouquet has the same number of flowers and the same type of flower. What is the greatest number of flowers that could be in a bouquet? The greatest number of flowers that could be in a bouquet is flowers.​

Answers

Answer:

3 bouqetes 5 roses 4 tulips

Step-by-step explanation:

After you have opened a checking account and made a deposit, you may write
checks. A check directs the bank to deduct money from your checking account to
make a payment. Your account must contain as much money as the amount of the
check you are writing to avoid overdrawing your account.
Write each amount in words as it would appear on a check.

Answers

Answer:

kentrell top Guadlin 4kt

What’s 5,700 divided by 70

Answers

ur answer is 81.42857142857143
Have a good day hope this helps! :)

Answer:

81.4285714286

Step-by-step explanation:

2 planes leave the airport at the same time. their speeds are 140 mph and 170 mph and the angle between their courses is 25 degrees. how far apart are they after 2.5 hours

Answers

Answer:

183.27miles

Step-by-step explanation:

Note that we are considering two planes.

Plane 1

Speed = 140 mph

Time = 2.5 hours

Distance = ?

Speed = distance/time

140 mph = distance/2.5hrs

Distance = 140×2.5

= 350miles

Plane 2

Speed = 170 mph

Time = 2.5 hours

Distance = ?

Speed = distance/time

170 mph = distance/2.5hrs

Distance = 170×2.5

= 425miles

The angle between side is 25 degree

From cosine rule

c^2 = a^2 + b^2 − 2abcos(tetha)

Where a = 350

b = 425miles

c^2 = 350^2+425^2-2(350×425)(cos25)

c^2 = 122500+180625-297500(0.906)

c^2 = 303125-269535

c^2 = 33590

C = √33590

C = 183.27miles

The distance they flew apart after 2.5hrs is 183.27miles

what is the volume of the figure?

Answers

Answer:

944 cubic feet

Step-by-step explanation:

You need to take the area of the figure separately.

[tex]8*10*5=400[/tex]

[tex]17*8*4=544[/tex]

400 + 544 =944

PLEASE HELP !!!!! WILL GIVE POINTS !!!!! (√a)=k√a where k=a^n. Find the value of n.

Answers

Answer:

im here for the points

Step-by-step explanation:

im here for the points

Can someone help me
With this ? Thanks so much

Answers

Answer:

The 2nd one should be right

Step-by-step explanation:

prove me wrong

Mr. Moorehead has less than $25 to spend on books
and music CDs. Books are on sale for $5 each, and
music CDs are on sale for $10 each. Mr. Moorehead
will purchase exactly 1 music CD. The inequality
below can be used to find b, the greatest number of
books that Mr. Moorehead can purchase.
10 + 5b < 25
What is the GREATEST number of books that Mr.
Moorehead can purchase?

Answers

Answer: 3 books

Explaining: $25 - $10 is only $15 left. $5x3 is $15. So he can buy 3 books.

Jane ran 15.2 miles she ran 6.7 miles on Saturday how many miles did she run on Sunday

Answers

Answer:

8.5

Step-by-step explanation

15.2 - 6.7 = 8.5

And She Ran 15.2 Miles IN ALL.

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