Prime factorization is the process of finding the factors of a number and these factors must be of prime numbers.
27000 = 27 × 10000
27000 = 27 × 10⁴
27000 = 3 × 9 × 10⁴ [Here we have 3 as a prime number, but not '9' and '10', so we will keep breaking this down]
27000 = 3 ×3 × 3 × (2 × 5) ⁴ [Here we have all prime numbers]
27000 = 3³ × 2⁴ × 5⁴
Answer:
250(1+.04)^3
Step-by-step explanation:
<u><em>Answer:</em></u>
(m×1/3)-6=y
<u><em>Step-by-step explanation:</em></u>
- Start with m as the unknown variable.
- Now multiple that by 1/3 to find that portion of m. (m×1/3)
- Lastly, subtract 6 and set the expression equal to y. (-6=y)
- Thus we get our final equation: (m×1/3)-6=y
To solve this problem, create two equations with x and y. The pieces of information that we know are that the first child is 3 times older than the second child. Therefore if we assign child #1 the variable of x and child #2 the variable of y, we could get the following equation:
3x = y
Now, we also know that together their ages equal 50 months. Therefore:
x + y = 50 (months)
So, using these two equations you can use either substitution or elimination to find the values of x and y. You would first need to rearrange the first equation to 3x - y = 0 (just moving the y to the other side).
Then, you could add the equations together as followed:
3x - y = 0
x + y = 50
___________
4x = 50
x = 12.5
And then fill that value in to one of the equations to find y.
3x = y
3(12.5) = y
y = 37.5
So, one child is 12.5 months old and the other is 37.5 months old!
Step-by-step explanation:
