Explain how you solved for x to in problem 12.

x=2

Step-by-step explanation:

6^x^10  = 6^12^2 / 6^4

We know a^b^c = a^(b*c)

6^ 10x = 6^(12*2) / 6^4

6^ 10x = 6^(24) / 6^4

We know a^b / a^c = a^(b-c)

6^ 10x = 6^(24 -4)

6^ 10x = 6^(20)

Since the bases are the same, the exponents are the same

10x = 20

Divide each side by 10

10x/10 = 20/10

x=2

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.

c) the median for town a 30" is greater than the median for town b 25"

step-by-step explanation:

town a, median = q2 = 30

town b, median - q2 = 25

so the median for town a 30" is greater than the median for town b 25"