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: Mary makes $1160, Steven makes $142.50
Step-by-step explanation:
Facts
MARY
8% commision on everything she sells
She sells a car for $14,500
The first question about Mary asks how much commision she makes. To find that, lets find 8% of 14,500
8% of 14,500= 0.08x14,500= 1160
Therefore, Mary makes $1,160 in commision.
STEVEN
Facts
He makes 15% in commision for the supplies he sells
He sells $950 in supplies
Money made =?
15% of 950=0.15x950=$142.50
Answer:
5 5/12
Step-by-step explanation:
2/3 + 3/4 = 1 5/12 + 3+1
= 5 5/12
<u>Slope -2/5.</u>
Answer:
Solution given:
(x1,y1)=(0,0)
(x2,y2)=(-2,5)
now
slope =(x2-x1)/(y2-y1)=(-2-0)/(5-0)=-2/5
Answer for Problem 2:
x=61 degrees
Step-by-step explanation:
I'm not completely sure of problem 1, but I know what problem 2 is.
Tip: triangles always add up to 180 degrees.
1. 16+42= 58
2. 180-58= 122
3. 122 divided by 2= 61 degrees
ANSWER: x=61 degrees.
