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denis23
1 month ago
6

What is the solution to 2/3(9x-6)=4(x+2)+ 2 round to the nearest hundredth

Mathematics
1 answer:
lawyer [12.5K]1 month ago
8 0

Answer:

7

Step-by-step explanation:

Start by expanding 2/3 (9x-6) = 4 (x+2) + 2 by calculating 2/3 (9x - 6)/3.

This results in 2/3 (9x - 6).

Next, factor it: 2/3 (9x - 6) becomes 6 (3x - 2) / 3.

Then, divide 6/3 by 2.

Arriving at 2 (3x - 2).

Now apply the distributive property.

2 multiplied by 3x and subtract 2 multiplied by 2.

This simplifies to

6x - 4.

Next, expand 4 (x + 2) + 2:   4x + 10.

Now you have the equation 6x - 4 = 4x + 10.

To solve for x, add 4 to both sides.

Resulting in 6x - 4 + 4 = 4x + 10 + 4.

Now simplify to

6x = 4x + 14.

Subtract 4x from each side.

So you simplify it further to

2x = 14.

Finally, divide both sides by 2.

The solution is 2x/2 = 14/2.

Doing one last simplification yields

x=7

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Answer:

a) The probability tree has been created below

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Step-by-step explanation:

Based on the information provided in the question;

a) The constructed probability tree is outlined as follows;

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           _______________________|________________________

            ↓                             ↓                                  ↓                               ↓

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³C₂ × ³C₁ / ⁶C₃ + ³C₃³C₀ / ⁶C₃  

= 3!/(2!(3-2)!) × 3!/(1!(3-1)!)  / 6!/(3!(6-3)!) + 3!/(3!(3-3)!) × 3!/(0!(3-0)!) / 6!/3!(6-3)!)

= 3 × 3 / 20 + 1 ×  1 / 20

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Answer:

Please refer to the attachment I have provided below.

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