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11Alexandr11 [23.1K]
4 years ago
8

if there are 7 students in a class to make a team 2 names are drawn how many different teams can be possible

Mathematics
1 answer:
yKpoI14uk [10]4 years ago
8 0

The first name can be any one of the seven.  Then for each one . . .
The second name can be any one of the other six.

Total number of ways to pick 2 names = (7 x 6) = 42 .

BUT ...

If you pick Tom and then Jim, you have the same team as when
you pick Jim and then Tom. 

Out of the 42 different ways to pick 2 names, each different team
can be picked in two ways.

So there are really only ( 42 / 2)  =  21 different teams possible.

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What is the prime fractorization of 84
Anvisha [2.4K]
84/2 = 42
42/2 = 21
21/3 = 7
7/7 = 1

84 = 2^2 * 3 * 7
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What is the equation of the parabola, in vertex form, with vertex at (2,-4) and
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Step-by-step explanation:

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Craig went out to a restaurant for dinner. He tipped 16% of his bill, which brought the sum of the dinner bill plus the tip to $
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$22.50

You can get this by dividing the new total by 116%, which is how much of the bill was paid. 
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4 years ago
The photo has a width of 720 pixels. The photo has a height of 540 pixels.
jarptica [38.1K]

Answer:

<h2><u>Required</u><u> Answer</u><u> </u><u>:</u><u>-</u></h2>

Ratio = Width: Height

Ratio = 720 : 540

Cancelling 0

Ratio = 72 : 54

Cancelling by 9

Ratio = 8 : 6

Cancelling be 2

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7 0
3 years ago
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Explain how you know which method you should use to solve a rational equation.
notsponge [240]

<u>Methods to solve rational equation:</u>

Rational equation:

A rational equation is an equation containing at least one rational expression.

Method 1:

The method for solving rational equations is to rewrite the rational expressions in terms of a common denominator. Then, since we know the numerators are equal, we can solve for the variable.

For example,

\frac{1}{2}=\frac{x}{2}\Rightarrow x=1

This can be used for rational equations with polynomials too.

For example,

\frac{1+x}{x-3}=\frac{4}{x-3}\Rightarrow(1+x)=4 \Rightarrow x=3

When the terms in a rational equation have unlike denominators, solving the equation will be as follows

\frac{x+2}{8}=\frac{3}{4}

\Rightarrow\frac{x+2}{1}=\frac{3\times8}{4}\Rightarrow{x+2}=2\times3

\Rightarrow{x+2}=6\Rightarrow x=6-2\Rightarrow x=4

Method 2:

Another way of solving the above equation is by finding least common denominator (LCD)

\frac{x+2}{8}=\frac{3}{4}

Factors of 4: 1\times2\times2

Factors of 8: 1\times2\times2\times2

The LCD of 4 and 8 is 8. So, we have to make the right hand side denominator as 8. This is done by the following step,

\Rightarrow\frac{x+2}{8}=\frac{3}{4}\times{2}{2}

we get,

\Rightarrow\frac{x+2}{8}=\frac{6}{8}

On cancelling 8 on both sides we get,

\Rightarrow(x+2)=6\rightarrow x=6-2\rightarrow x=4

Hence, these are the ways to solve a rational equation.

7 0
3 years ago
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