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asambeis [7]
4 years ago
14

A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bag, if at least one

black ball is to be included in the draw?
Mathematics
1 answer:
Mandarinka [93]4 years ago
6 0

Answer: 96

Step-by-step explanation:

You might be interested in
Louis spent 12 hours practicing guitar if 1/4 of the time was spent practicing chords, how much time did Louis spend practicing
Kryger [21]
\frac{1}{4} \ of \ 12= \frac{1}{4}*12= \boxed{3 \ hours \ were \ used \ to \ chords}
8 0
3 years ago
Rationalise the denominator of: (√3 + √2)/(√3-√2) = ?<br>​
krok68 [10]

Step-by-step explanation:

<h3><u>Given</u><u>:</u><u>-</u></h3>

(√3+√2)/(√3-√2)

<h3><u>To </u><u>find</u><u>:</u><u>-</u></h3>

<u>Rationalised</u><u> form</u><u> </u><u>=</u><u> </u><u>?</u>

<h3><u>Solution</u><u>:</u><u>-</u></h3>

We have,

(√3+√2)/(√3-√2)

The denominator = √3-√2

The Rationalising factor of √3-√2 is √3+√2

On Rationalising the denominator then

=>[(√3+√2)/(√3-√2)]×[(√3+√2)/(√3+√2)]

=>[(√3+√2)(√3+√2)]×[(√3-√2)(√3+√2)]

=>(√3+√2)²/[(√3-√2)(√3+√2)]

=> (√3+√2)²/[(√3)²-(√2)²]

Since (a+b)(a-b) = a²-b²

Where , a = √3 and b = √2

=> (√3+√2)²/(3-2)

=> (√3-√2)²/1

=> (√3+√2)²

=> (√3)²+2(√3)(√2)+(√2)²

Since , (a+b)² = a²+2ab+b²

Where , a = √3 and b = √2

=> 3+2√6+2

=> 5+2√6

<h3><u>Answer:-</u></h3>

The rationalised form of (√3+√2)/(√3-√2) is 3+2√6+2.

<h3><u>Used formulae:-</u></h3>

→ (a+b)² = a²+2ab+b²

→ (a-b)² = a²-2ab+b²

→ (a+b)(a-b) = a²-b²

→ The Rationalising factor of √a-√b is √a+√b

8 0
3 years ago
Using n for the variable, write an algebraic expression that represents a number that is divisible by the given number. (Hint: A
iris [78.8K]

Answer:

'5n' is the correct answer.

Step-by-step explanation:

Let 'n' be any integer i.e. a number from the set {....., -3,-2,-1,0,1,2,3, ..... }

so 'n' can be termed as the variable here because its value can change and can be any value from the above set.

A number 'q' that can be divided by a a given number 'p' can be written as:

n \times p

When divided by 'p' :

\dfrac{q}p = \dfrac{n \times p}{p}\\\dfrac{q}p = n

So, The number 'q' is completely divisible by 'p' leaving 'n' as the quotient.

Using this concept, let us solve the questions:

a) Using 'n' as the variable, a number that is divisible by 5 can be written as:

5n

Read more on Brainly.com - brainly.com/question/16919676#readmore

7 0
4 years ago
Two addends
nataly862011 [7]

Answer:

28

Step-by-step explanation:

18+6+4=28

8 0
3 years ago
Find two consecutive integers whose sum is 91
lys-0071 [83]
46+45=91 
Hope this helps!
6 0
3 years ago
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