Which sum or difference is equivalent to the following expression 3x-2/9 ?
•1/3x - 2/9
•2/9x - 1/3
•1/9x
•2/9

Option 1.

Step-by-step explanation:

The given expression is

We need to find the an expression which is equivalent to the given expression.

If a,b and c are three real numbers and c≠0, then according to distributive property of division

Using the distributive property of division, the given expression can be rewritten as

Cancel out the common factors.

The expression is equivalent to the given expression.

Therefore, the correct option is 1.

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.