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Annette [7]
1 year ago
12

There are 12 different cookies on a plate. Aiden will choose 3 of these cookies to pack in his lunch. How many different groups

of cookies can he choose from 12?
A) 220
B) 320
C) 420
D) 440
I know the correct answer is A) 220, but I am not sure why?
Mathematics
1 answer:
kupik [55]1 year ago
4 0

The number of different groups of cookies he can choose from the 12 cookies is 220

<h3>How to determine the number of different groups of cookies he can choose from the 12 cookies?</h3>

The given parameters are:

Number of cookies, n = 12

Selected cookies, r = 3

The number of different groups of cookies he can choose from the 12 cookies is calculated as:

Numbers = 12C3

The combination formula is represented as:

nCr = n!/(n - r)!r!

Substitute the known values in the above equation

Numbers = 12!/(12 - 3)!3!

Evaluate the difference in the above equation

Numbers = 12!/9!3!

Expand the above equation

Numbers = 12*11*10*9!/9!3!

Evaluate the quotient

Numbers = 12*11*10/3!

Expand the above equation

Numbers = 12*11*10/3*2*1

Evaluate the products

Numbers = 1320/6

Evaluate the quotients

Numbers = 220

Hence, the number of different groups of cookies he can choose from the 12 cookies is 220

So, the complete parameters are:

Number of cookies, n = 12

Selected cookies, r = 3

Number of selection = 220

Read more about combination at:

brainly.com/question/11732255

#SPJ1

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8 * 2 = 16
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New fraction: 16/20

-1 17/20 vs. - 1 16/20

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6 0
2 years ago
grade 5 math. How would I write a ratio for a project when asked to compare prices from two stores, IE 32 slices of texas toast
REY [17]
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You can also say $7.99 per 32 slices.
so it can be  ̲7̲.̲9̲9̲ ̲   or the other way around.
                       32
To find the unit price, or the price of 1 item, you have to divide the price by the amount.
So 7.99 divided by 32 is <span>0.249687, but we don't have thousandths of a cent, so we round to the hundredth.
$0.25 is the unit price, or the price of 1 toast, rounded to the nearest cent.

So let's try another one, this time we have 2 different rates, and we will compare them.

So let's say we are buying cheese. Store A sells 12 blocks of cheese for $14.99, and Store B sells 20 blocks for $23.99.
So first we have to find the unit rate for each.

             Store A                                 Store B
         14.99 per 12                        23.99 per 20
                                         
             </span> ̲1̲4̲.̲9̲9̲ ̲                                  ̲2̲3̲.̲9̲9̲ ̲<span>
                 12                                         20

14.99 / 12 is </span>1.24916                    23.99 / 20 is <span>1.1995</span>
<span>$1.25, if rounded to the cent.    $1.20, if rounded to the cent
</span>1 block is $1.25 in Store A.         1 block is $1.20 in Store B

Store B sells for cheaper.

Hope that helps.
7 0
3 years ago
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choli [55]

Answer:

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Step-by-step explanation:

Given that y and x² are directly proportional then the equation relating them is

y = kx² ← k is the constant of proportion

When x = 2

y = k × 2² = 4k

When x = 5

y = k × 5² = 25k

Then

25k - 4k = 20 ( difference between values is 20 )

21k = 20 ( divide both sides by 21 )

k = \frac{20}{21}

y = \frac{20}{21} x² ← equation of proportion

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Answer:

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Step-by-step explanation:

8 0
3 years ago
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