Simplify to create an equivalent expression.
2(-2 - 4p) + 2(-2p - 1)
choose 1
@
–12p - 6
®
-10p – 6
©
-12p+6
12p – 6

a)       2(-2 - 4 p) + 2(-2 p - 1)      =  - 12 p- 6

Step-by-step explanation:

Here, the given expression is:

2(-2 - 4p) + 2(-2p - 1)  

Now, by DISTRIBUTIVE PROPERTY:

A(B-C)  = AB - AC

Solving the given expression , we get

2(-2 - 4p) + 2(-2p - 1)    

= 2(-2)  - 2(4p)  + 2(-2p)  - 2(1)  

= -4 - 8 p - 4 p - 2

= -6 - 12 p

or, 2(-2 - 4p) + 2(-2p - 1)      =  - 12 p- 6

Hence the given expression is equivalent to  (- 12 p- 6).

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.