Answer: THIRD OPTION.
Step-by-step explanation:
The Associative property of addition states that when three or more numbers are added, it does not matter how they are grouped, the sum is the same. Then:

Based on this and having the expression
, we can apply the Associative property as following:

Therefore, the expression that illustrates the Associative property of addition is the one shown in the Third option.
So, 420 is the smallest positive integer with 4 prime factorizations in the E-zone.
Answer:
I guess please finish the question or this is the numbers I had.
Step-by-step explanation:
- Mr. Worthington is a dentist, so he has $85,400 in student loans to pay off.
- Mrs. Worthington earns $42,500 per year at her job. The Worthington family has a savings account with a balance of $18,800.
- They own two vehicles that are worth a combined total of $64,600.
- Mrs. Worthington owns an antique necklace valued at $6,200.
- The Worthingtons have been saving for their children's college fund. currently has a balance of $24,700.
Answer:

Step-by-step explanation:
![\log_23x+\log_23=2\\\\\bold{DOMAIN}:\\3x>0\to x>0\\\\\text{Use}\ \log_ab+\log_ac=\log_a(bc)\\\\\log_2\bigg[(3x)(3)\bigg]=2\\\\\log_29x=2\qquad\text{use}\ \log_ab=c\iff a^c=b\\\\\log_29x=\log_22^2\\\\\log_29x=\log_24\iff9x=4\qquad\text{divide both sides by 9}\\\\\dfrac{9x}{9}=\dfrac{4}{9}\\\\\boxed{x=\dfrac{4}{9}}\in \bold{DOMAIN}](https://tex.z-dn.net/?f=%5Clog_23x%2B%5Clog_23%3D2%5C%5C%5C%5C%5Cbold%7BDOMAIN%7D%3A%5C%5C3x%3E0%5Cto%20x%3E0%5C%5C%5C%5C%5Ctext%7BUse%7D%5C%20%5Clog_ab%2B%5Clog_ac%3D%5Clog_a%28bc%29%5C%5C%5C%5C%5Clog_2%5Cbigg%5B%283x%29%283%29%5Cbigg%5D%3D2%5C%5C%5C%5C%5Clog_29x%3D2%5Cqquad%5Ctext%7Buse%7D%5C%20%5Clog_ab%3Dc%5Ciff%20a%5Ec%3Db%5C%5C%5C%5C%5Clog_29x%3D%5Clog_22%5E2%5C%5C%5C%5C%5Clog_29x%3D%5Clog_24%5Ciff9x%3D4%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%209%7D%5C%5C%5C%5C%5Cdfrac%7B9x%7D%7B9%7D%3D%5Cdfrac%7B4%7D%7B9%7D%5C%5C%5C%5C%5Cboxed%7Bx%3D%5Cdfrac%7B4%7D%7B9%7D%7D%5Cin%20%5Cbold%7BDOMAIN%7D)