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ELEN [110]
3 years ago
15

2(6 − 2x) + 3x = 4 + 2(5 + x) what is x

Mathematics
1 answer:
alexira [117]3 years ago
5 0
First let's get rid of the parenthesis:

12 - 4x + 3x = 4 + 10 + 2x

Now group the x's on the left and the numbers on the right

-4x + 3x - 2x = 4 + 10 - 12

...and simplify

-3x = 2

divide by -3 to isolate x

x = -2/3
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A number cube with the numbers 1 through 6 is rolled. What is the probability of the number cube showing a 4 or a number less th
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Answer:

Step-by-step explanation:

The probability is

P

(

A

)

=

1

3

Explanation:

To calculate the probability you have to count the number of all possible results

|

Ω

|

and the number of results that fulfill the given condition

|

A

|

.

In this case

Ω

=

{

1

,

2

,

3

,

4

,

5

,

6

}

Thereare 6 possible result of a dice toss. So

|

Ω

|

=

6

The given condition is "the result is divisible by

3

", so

A

=

{

3

,

6

}

- those are the only numbers divisible by

3

, so

|

A

|

=

2

.

Finally to calculate the probability we have to divide

|

A

|

by

|

Ω

|

.

P

(

A

)

=

|

A

|

|

Ω

|

=

2

6

=

1

3

Note The probability is never larger than

1

, so if you get such result then there must be a mistake in calculations.

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3 years ago
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