Answer:
x = 0.5
Step-by-step explanation:
Well, we have in this case a exponent equation

Factoring 27 = 
Our new equation is:

Applying the property of exponents, on the right we'll have just like that:

now, it's easy to solve this equation. You must solve 3x = 2 - x because the basis of these exponents are equal.
3x = 2 - x
3x + x = 2
4x = 2
x = 1/2 or 0.5
Answer:
12 years
Step-by-step explanation:
Given that Mr. Hon purchases a new car every 4 years. Ms. Jasper purchases a new car every 6 years.
Assuming that they purchase new cars together after n years.
So, n must a multiple of 4 as well as multiple 6, i.e the number n is the lowest multiple (LCM) of 4 and 6.
As LCM od 4 and 6 is 12, so n=12.
Hence, after 12 years they will purchase news cars together.
5+10=15
or 1+1+1+1+1+1+1+1+1+1+1+1+1+1+1