By the Fundamental Theorem of Arithmetic, all number can be expressed as a product of prime numbers.
So naturally, lets divide 120 by an easy prime number.
We know that 120 is even, so lets try 2
120/2 = 60
lets keep dividing it by two until it becomes odd or prime
60/2 = 30
30/2 = 15
now lets see, what are some factors of 15?
Well the obvious ones are 3 and 5, both of which are prime. So now we can just count up how many times we divided it by 2
120/2 = 60
60/2 = 30
30/2 = 15
and 15 is just 3 x 5, so:
<span>
120=(<span>23</span>)×(3)×(5)</span>
or
<span><span>
120 = 2 × 2 × 2 × 3 × 5</span></span>
Answer:
x > 30
Step-by-step explanation:
divide both sides by 9
this gets the x on one side by itself.
270/9 = 30
don't let the inequality mess with you
treat it like an equal sign and leave it the way it is.
move things around it.
Answer:
Yes
Step-by-step explanation:
To find the answer, you just have to plug the (x,y) values into the equation to see if it is true.
3(1) > 5(-6) -12
3 > -30 -12
3 > -42
Since 3 > -42 the ordered pair is a solution to the inequality
Answer:
216
Step-by-step explanation:
Answer:
3x>18
Step-by-step explanation:
Three times the number x will be called 3x. If an expression is more or greater than a number, we use the greater symbol: >
So, we can write,
3x>18
