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givi [52]
2 years ago
14

A bag contains 17 counters all of different colours. Colin chooses one counter and gives it to Obi, and another counter and give

s it to Zeema. In how many ways can Colin do this?
Mathematics
1 answer:
kolbaska11 [484]2 years ago
7 0

Answer:

Colin can do this is 272 ways.

Step-by-step explanation:

The first counter goes to Obi and the second to Zeema, so the order is important. This means that we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

In this question:

Two counters from a set of 17. So

P_{(17,2)} = \frac{17!}{(17-2)!} = 272

Colin can do this is 272 ways.

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Sanjay had a case of 24 bottles of water. In the first week Sanjay drank 3/8 of the bottles of water. In the second week Sanjay
Gnom [1K]

Answer:

The answer to your question is: 5 bottles

Step-by-step explanation:

Process

First week

Divide 24 by 8

                        24/8 = 3 bottles = 1/8

                        but Sanjay drank 3/8 = 9 bottles

And there are 24 - 9 bottles left = 15

- Second week

Divide 15 by 3

                       15/3 = 5 then 5 bottles = 1/3

                       but sanjay drank 2/3 = 10 bottles

Then, there are 15 - 10 bottles left  = 5

                         

8 0
3 years ago
Find the total area the regular pyramid.<br><br><br><br> T. A. =
alexira [117]
The answer would be   A = 54raiz (3) + 18raiz (91)
Formula:
 A = Ab + Al Where, Ab=base area A= lateral area

 The area of the base is: Ab = (3/2) * (L ^ 2) * (root (3)) Where, L= side of the hexagon. Substitute: Ab = (3/2) * (6 ^ 2) * (root (3)) Ab = (3/2) * (36) * (root (3)) Ab = 54raiz (3)


 The lateral area is: Al = (6) * (1/2) * (b) * (h) Where, b= base of the triangle h= height of the triangle Substitute: Al = (6) * (1/2) * (6) * (root ((8) ^ 2 + ((root (3) / 2) * (6)) ^ 2)) Al = 18 * (root (64 + 27)) Al = 18raiz (91)

 The total area is: A = 54raiz (3) + 18raiz (91)

6 0
3 years ago
Read 2 more answers
Cameron buys 2.45 pounds of apples and 1.65 pounds of pears. Apples and pears each cost c dollars per pound. If the total cost a
nordsb [41]

Answer:

4.12=2.45c+1.65c

Step-by-step explanation:

We are given,

Cameron buys 2.45 pounds of apple and 1.65 pounds of pears.

Also, the cost of apples and pears is 'c' dollars per pound.

Thus, the cost of 2.45 pounds of apple is 2.45c dollars and the cost of 1.65 pounds of pear is 1.65c dollars.

Since, the total cost after using a coupon is $4.12.

So, we get the equation representing the situation is,

Total cost = Total cost of apples + Total cost of pears.

i.e. 4.12=2.45c+1.65c

i.e. 4.12=4.1c

i.e. c=\frac{4.12}{4.1}

i.e. c = 1 dollar

Hence, the required equation to find c is 4.12=2.45c+1.65c.

5 0
2 years ago
Please help I have to turn this in by the end of the night
dedylja [7]

Answer:

3 subtracted from the product of 7 and a number b

3 subtracted= -3

product of 7 and a number b= 7b

put those together:

7b-3

hope this helps, also what grade is this

3 0
3 years ago
A circular window is drawn on architectural plans where each unit is a foot on a coordinate grid. the window is modeled by the e
Pie

The equation indicates that the center of the window is 12 feet from the ground and the distance the window spans 6 feet.

<h3>What is the general equation of a circle?</h3>

The equation of a circle is given by the formula,

(x-a)^{2} + (y -b)^{2} = r^{2}

where (a,b) is the coordinate of the center of the circle, and r is the radius of the circle.

According to the given equation, if we compare this equation with the general equation of the circle.

(x-4)^{2} + (y-12)^{2} = 9

(x-a)^{2} + (y -b)^{2} = r^{2}

(x-4)^{2} + (y -9)^{2} = 3^{2}

On  observing this equation we will get that the value of (a,b) is (4,12).

Thus, The equation indicates that the center of the window is 12 feet from the ground

window span = diameter of circle

window span = 2r

= 2 × 3 (radius = 3)

= 6

Hence, The equation indicates that the center of the window is 12 feet from the ground and the distance the window spans 6 feet.

To learn more about Equation of the circle from the given link

brainly.com/question/22223658

#SPJ4

6 0
1 year ago
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