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andrew-mc [135]
3 years ago
6

"How many ways can Rudy choose 4 pizza toppings from a menu of 13 toppings if each topping can only be chosen once?"

Mathematics
1 answer:
Anton [14]3 years ago
3 0

Answer:

715 ways.

Step-by-step explanation:

We are asked to find the number of ways Rudy can choose 4 pizza toppings from a menu of 13 toppings if each topping can only be chosen once.

We will use combinations formula to solve our given problem.

The number of combination n chosen r at a time is given by formula:

C(n,r)=\frac{n!}{r!(n-r)!}

C(13,4)=\frac{13!}{4!(13-4)!}

C(13,4)=\frac{13!}{4!*9!}

C(13,4)=\frac{13*12*11*10*9!}{4*3*2*1*9!}

C(13,4)=\frac{13*11*10}{2}

C(13,4)=13*11*5

C(13,4)=715

Therefore, Rudy can choose 4 pizza toppings from a menu of 13 toppings if each topping can only be chosen once is 715 ways.

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1) A business man gives N18 000,00 to his three children
pashok25 [27]

Answer: The least share is N450000

Step-by-step explanation:

Given that :

Amount shared = N18 00000

Sharing ratio = 5:4:3

Amount shared by each child :

Total ratio = (5 + 4 + 3 )= 12

First share :

(5 / 12) × 1800000 = 750000

Second share :

(4/12) × 1800000 = 600000

Third share:

(3/12) × 1800000 = 450000

The least amount of the three shares is :

N450000

4 0
3 years ago
To make a specific orange color, a painter uses 14 of a can of red paint and 12 of a can of yellow paint. Fill in each statement
Otrada [13]

Answer:  For every 1 can of red paint, the number of yellow paints used by the painter is \frac{6}{7} and

There are approximately 29 cans of yellow paints for 34 cans of red paints.

Step-by-step explanation:

Since we have given that

Number of cans of red paint = 14

Number of cans of yellow paint = 12

According to question, we have to find that for every 1 can of red paint the painter uses what number of yellow paints;

Since the ratio of red paint to yellow paint is given by

14:12\\\\7:6\\\\1:\frac{6}{7}

So, for every 1 can of red paint, the number of yellow paints used by the painter is \frac{6}{7}

Similarly,

If Number of can of red paint is used = 34

So, Number of cans of yellow paint will be

\frac{6}{7}\times 34\\\\=\frac{6\times 34}{7}\\\\=29\ approx.

Hence, there are approximately 29 cans of yellow paints for 34 cans of red paints.

3 0
3 years ago
Each person on a four-person relay team completed a race in approximately 18.1 seconds. How long did it take the relay team to f
likoan [24]

Answer:

72.4 seconds

Step-by-step explanation:

We are given that,

Time taken by each person in the team = 18.1 seconds

Number of members in the team = 4

It is required to find the total time taken by the team to finish the race.

Thus, the time taken taken = 4 × 18.1 = 72.4 seconds

Hence. the team finished the race in 72.4 seconds.

8 0
3 years ago
What is the slope of the line that passes through the points (-4, -2) and (-4, -22)? Write your answer in simplest form.
aliina [53]

Answer:

Your answer is: Undefined

Use the slope formula to find the slope  m .

Step-by-step explanation:

Hope this helped : )

3 0
3 years ago
A right prism has a volume of 65 cubic inches. The prism is enlarged so its height is increased by a factor of 20, but the other
Helga [31]

Answer:

Volume of a right prism = 65 cubic inches

Its height is increased by a factor of 20.

To find:

The new volume of the prism if the other dimensions do not change.

Solution:

The volume of a prism is:

Volume=Bh

Where, B is the base area and h is the height.

A right prism has a volume of 65 cubic inches.

65=Bh

The height of prism is increased by a factor of 20. So, the new volume is:

Volume=B(20h)

Volume=20(Bh)

Volume=20(65)

Volume=1300

The volume of the new prism is 1300 in³.

Therefore, the correct option is B.

8 0
2 years ago
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