The prime factorization of 6000<span> = 2^4</span>•3•5^3.
<span>The prime factors of </span>6000<span> are 2, 3 and 5.</span>
Keep in mind that whenever you have a variable inside an expression, you have to think of it as a placeholder, hiding a certain value which we haven't specified yet.
Expressions with variables are a mean to express the generic idea underneath the expression, rather than its particular value.
So, an expression like x-7 represents the idea of subtracting 7 from a particular number. Once you give a specific value to x, the expression will become an actual subtraction between numbers, and you will be able to compute its value.
So, we have several values for x, which are several ways to turn our "abstract" subtraction into an actual, computable subtraction.
If 
, the expression becomes 
and it evaluates to 
.
If 
, the expression becomes 
and it evaluates to 
.
If 
, the expression becomes 
and it evaluates to 
.
If 
, the expression becomes 
and it evaluates to 
.
If 
, the expression becomes 
and it evaluates to 
.
5x + 55 = 2x + 100
3x = 45
x = 15
plug 15 into
5(15) + 55
75 + 55 = 130
130 + angle 2 = 180
angle 2 = 50
<span>The right information from the figure is:
AU = 20x + 108,
UB = 273,
BC = 703,
UV = 444,
AV = 372 and
AC = 589
The similarity of the two triangles leads to:
[AB] / [AC] = [AU] / [AV]
[AB] = [AU] + [UB] = 20x + 108 + 273 = 20x + 381
=> (20x + 381) / (589) = (20x + 108) / 372
Now you can solve for x.
(372)(20x + 381) = (20x + 108)(589)
=> 7440x + 141732 = 11780x + 63612
=> 11780x - 7440x = 141732 - 63612
=> 4340x = 78120
=> x = 18
Answer: x = 18
</span>
Answer: lowkey gonna goes by my math and say 0.76 because I divided 114 by 150 and got 0.76
