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3 years ago

How many subsets of five elements each can be made from a set of seven elements?

1 answer:

8 0

When creating a subset of 5 elements from 7 elements, order should not matter. Therefore, we use the combination formula over the permutation formula. The combination formula given n elements total and r elements used is n! / [r!*(n-r)!]. Substituting 7 for n and 5 for r, we get: 7! / (5!*2!) = 7*6 / 2 = 21 21 subsets can be created

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Estimate 34,926 - 17,042

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3 years ago

there are 8 students at each of 4 rounds of tables in the cafeteria. there are 64 students at long tables. use the bar model to

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Step-by-step explanation:

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3 years ago

ACTIVITY 1

aleksklad [387]

Answer:

Question A:

1. 1/2 = 0.5 (Terminating)

2. 5/6 = 0.833333.. (Repeating)

3. 21/3 = 1.6666666.. (Repeating)

Question B:

1. 0.6 = 3/5

2. 1.25 = 5/4 = 1 1/4

3. 0.125 = 1/8

Step-by-step explanation:

A. Write the fraction or mixed number as a terminating or repeating decimal.

In order to convert a fraction into decimal, the numerator has to be divided by denominator.

1. 1/2

The answer is: 0.5 which is a terminating decimal.

2. 5/6

The answer is: 0.833333.. which is a repeating decimal.

3. 2 1/3 (assuming the question is this)

$2\frac{1}{3} = \frac{7}{6} = 1.6666666..$

The answer is 1.6666666.. which is a repeating decimal.

B. Write the terminating decimal as fraction or mixed number i n simplest form.

1. 0.6

$0.6 = \frac{6}{10} = \frac{3}{5}$

2. 1.25

$1.25 = \frac{125}{100} = \frac{5}{4} = 1\frac{1}{4}$

3. 0.125

$0.125 = \frac{125}{1000} = \frac{5}{40} = \frac{1}{8}$

Hence,

Question A:

1. 1/2 = 0.5 (Terminating)

2. 5/6 = 0.833333.. (Repeating)

3. 21/3 = 1.6666666.. (Repeating)

Question B:

1. 0.6 = 3/5

2. 1.25 = 5/4 = 1 1/4

3. 0.125 = 1/8

7 0

3 years ago

How can addition properties help me add whole numbers

Bas_tet [7]

Answer:

There are four addition properties that help to add whole numbers :

For any whole number a, b, and c ;

1. Closure property of addition - $a+b$

For example:

2+3=5

4+3=7

We can conclude that if we add any two whole number , we get another whole number.

2. Associative property of addition- when any whole number or variable are added, then that can be grouped in different way without changing result

$a+(b+c)=(a+b)+c$

For example:

2+(3+4)=(2+3)+4

3. Commutative property of addition- when any whole number or variable are added, then the order changed without changing the result.

$a+b=b+a$

For example: 2+3=3+2

4. Identity property of addition- when 0 is added to a whole number or variable , the result is the same variable or number.

$a+0=0+a$

For example: 3+0=0+3

0 is called an Identity for addition of whole numbers.

3 0

3 years ago

What is the explicit formula for this sequence?

kati45 [8]

Greetings from Brasil...

With the recursive formula, lets build the sequence:

A1 = 4

A2 = A1 - 7

A3 = A2 - 7

A4 = A3 - 7

A5 = A4 - 7

(...)

But pay attention to A3....

A3 = A2 - 7 but A2 = A1 - 7 , so rewriting A3

A3 = (A1 - 7) - 7 ⇒ A3 = A1 + 2.(- 7)

A4 = A3 - 7 ⇒ A4 = [(A1 - 7) - 7] - 7 = A1 + 3.(- 7)

A5 = {[(A1 - 7) - 7] - 7} - 7 = A5 + 4.(- 7)

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3 years ago