Answer:
Step-by-step explanation:
*Move terms to the left and set equal to zero:
4㏒(√x) - ㏒(3x) - ㏒(x²) = 0
*simplify each term:
㏒(x²) - ㏒(3x) - ㏒(x²)
㏒(x²÷x²) -㏒(3x)
㏒(x²÷x² / 3x)
*cancel common factor x²:
㏒(
)
*rewrite to solve for x :
10⁰ =
1 =
1 · x = · x
1x = 
*that would be our answer, however, the convention is to exclude the "1" in front of variables so we are left with:
x =
A lot measuring 240' by 400' is selling for $400 a front foot. What is the price? a) $1,600 b) $16,000 c) $72,000
The first thing to do is identify the unnecessary information (that they met 2 years ago).
From there, let's go back three years ago. We'll call Daniel's age x, and Ben's age will be 3x. Ben's age is also equal to x + 20.
3x = x+ 20
2x = 20
x = 10
Daniel was 10 three years ago, and Ben was 30. Now, Ben is 33.
3 1/2 + 5 1/3 =
Solution
Add whole numbers together and fractions together
3 1/2 + 5 1/3 = (3 + 5) + (1/2 + 1/3)
Write fractions with the same denominator
= 8 + (3/6 + 2/6) = 8 5/6
It takes Julia 1/2 hour to wash, comb her hair and put on her clothes, and 1/4 hour to have her breakfast. How much time does it take Julia to be ready for school?
Solution
The total time for Julia to be ready for school is
1/2 + 1/4
Write fractions with the same denominator
= 2/4 + 1/4 = 3/4 of an hour.
