Ricardo has 2020 coins, some of which are pennies (1-сent coins) and the rest of which are

Evaluate the expression. StartFraction 9 factorial Over 3 factorial EndFraction 3 6 60,480 362,874

REY [17]

Answer:

60,480 is the correct answer.

Step-by-step explanation:

First of all, let us have a look at the formula of factorial of a number 'n':

$n! = n \times (n-1) \times (n-2) \times ...... \times 1$

i.e. multiply n with (n-1) then by (n-2) upto 1.

Keep on subtracting 1 from the number and keep on multiplying until we reach to 1.

So, $9!$ can be written as: $9 \times 8 \times 7 \times ...... \times 1$

Similarly $3!$ can be written as: $3 \times 2 \times 1$

Re-writing $9 !$ :

$9 \times 8 \times 7 \times ...... 3 \times 2 \times 1\\\Rightarrow 9 \times 8 \times 7 \times ...... 3 !$

Now, the expression to be evaluated:

$\dfrac{9!}{3!} = \dfrac{9 \times 8 \times 7 \times ..... \times 3!}{3!}\\\Rightarrow 9 \times 8 \times 7 \times 6 \times 5 \times 4\\\Rightarrow 60480$

5 0

2 years ago

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F(x)=(x-2)2 X=8 Need answers ASAP

Zina [86]

Answer:

substitute 8 into x =(8-2)2

(6)2=12

4 0

3 years ago

The table shows the average weight of animals. How many more tons does a blue whale weigh than an African elephant? Explain how

AVprozaik [17]

Answer:

The African elephant weighs 111.5 tons less than a blue whale.

Step-by-step explanation:

Given:

Animal Weight(pounds)

African Elephant 15,000

Blue Whale 238,000

Now, to find the weight of how more tons does a blue whale weigh than an African elephant.

As given, 1 ton = 2,000 pounds.

So, to convert the weight from pound to tons by dividing:

African elephant $=15000\div 2000=7.5\ tons.$

Blue whale $=238000\div 2000=119\ tons.$

Now, to get the weight of how more tons is blue whale weigh than an African elephant we subtract:

$Blue\ whale - African\ elephant$

$=119 tons-7.5tons$

$=111.5\ tons$

Therefore, the African elephant weighs 111.5 tons less than a blue whale.

8 0

3 years ago

A rectangle or field is 62 m long and 48 m wide Diana estimate the length of the field to be 60 m and the ways to be 45 m what i

Ostrovityanka [42]

Answer:

To make estimates, we usually round the numbers the nearest integer.

Since 1.9 is closest to 2 than it is to 1, the nearest integer of 1.9 is 2.

Similarly, since 4.4 is closest to 4 than it is to 5, the nearest integer of 4.4 is 4.

Now, to estimate the area of the farm, we are going to multiply our two integers:

Estimated Area of the Farm= x

Since 8 is between 4 and 10, we can conclude that the best estimate of the area of the farm is: between 4 and 10

Step-by-step explanation:

7 0

2 years ago

What is pi minus pi plus pi divided by pi x 25.9. WILL MARK BRAINLIEST

mestny [16]

Answer:

25.9

Step-by-step explanation:

25.9

pi-pi+pi/pi is 0+(1*25.9) which is 25.9

Hope this helps :D

8 0

3 years ago

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