Answer:
42 days
Step-by-step explanation:
Given

Leakage = 5 gallons in 3 days
Required
Determine the number of days it finish leaking out
The scenario can be represented as:
5 gallons = 3 days
and
70 gallons = x
Where x represents the number of days to leak out 70 gallons
Cross Multiply:


Divide both sides by 5


<em>Hence, it'll take 42 days</em>
Answer:
The mean for the combined sample = 6.
Step-by-step explanation:
We have been given that one sample of n = 10 scores has a mean of M = 8.
So the sum of 10 scores for 1st sample will be: 
We are also told that second sample of n = 5 scores has a mean of M = 2.
So the sum of 5 scores for 2nd sample will be: 
When the both samples are combined, so total points will be:
and total scores will be
.



Therefore, the mean for the combined sample will be 6.
Answer:

Step-by-step explanation:
1) Use Division Distributive Property: (x/y)^a = x^a/y^a.

2) Multiply both sides by 27^x - 8.

3) Use the product rule: x^a x^b = x^a+b.

4) Simplify 1 + x - 8 to x - 7.

5) Use Definition of Common Logarithm: b^a = x if and only if log<u>b</u><u> </u>(x) = a.

6) Use Change of Base Rule.

7) Use rule of 1: log 1 = 0.

8) Simplify 0/log_27 to 0.

9) Add 7 to both sides.

10) Switch sides.

<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>7</u><u>.</u>