Explanation:
A "reduced" fraction is one that has mutually prime numerator and denominator. That is, the numerator and denominator have no common factors.
A fraction is "reduced" by canceling common factors from numerator and denominator. If "a" is a factor common to the numerator and denominator of a fraction, that fraction can be written with "a" canceled from each:
Here is a numerical example:
__
A numerator factor and a denominator factor "cancel" because their ratio is 1, the identity element for multiplication. Anything times 1 is just that thing.
Perimeter = (2 lengths) + (2 widths) or 2(length + width).
2 (22 + 68.8) = 2 (90.8) = <u>181.6</u>
The numbers are "x" and "y",
we suggest this system of equations.
x+y=24
x-y=15
solve by reduction method.
x+y=24
x-y=15
-----------------
2x=39 ⇒x=39/2=19.5
x+y=24
-(x-y=15)
-------------------
2y=9 ⇒y=9/2=4.5
The numbers are 19.5 and 4.5
To check
19.5+4.5=24
19.5-4.5=15
Let's have the first number, the larger number, be <em>x</em>. We'll have the second, smaller number be <em>y</em>.
We know that x = y + 6, since x is 6 greater than y.
We also know that 330 = x + y.
Because x = y + 6, 330 = y + 6 + y, which simplifies to 330 = 2y + 6.
Now all we need to do is simplify the equation. First, we subtract 6 from both sides:
330 - 6 = 324
2y + 6 - 6 = 2y.
So we have 324 = 2y. Then we divide both sides by 2 to get:
162 = y
Plug in y = 162 into the equation x = y + 6 to get:
x = 162 + 6
x = 168
Let's check to make sure our answer is right. 168 is 6 more than 162. 162 + 168 equals 330. So our two numbers are 168 and 162.
Answer:
g = -32
Step-by-step explanation:
