Answer:
Step-by-step explanation:
The given expression is
To factor this polynomial, we just need to extract the common factor. Or you can see as the greatest common factor.
What is the greatest common factor between 8 and 16?
16: 1, 2, 4, 8, 16.
8: 1, 2, 4, 8.
You can observe that the greatest common factor is 8, so we extract it from both numbers
Notice that we placed the GCM in the front as a product, if we don't do that, it would be completely wrong, because we can change the equivalence of the expression. Now, notice that each variable have different coefficients, that is because if you extract the GCM, you need to placed its quotients as coefficients.
Therefore, the factor of the polynomial is
Okay, so you know that something minus 20% of its total will equal 75%. You can set up an equation:
X - 0.2X = 75
0.8X = 75
X = 93.75 ,
meaning that the original price was $93.75
You devide by 4 and it is 21 over 25
Here are the equations that are represented by the scenarios:
4x + 2y = $14 (Joe)
3x + y = $9 (Becca) or y = 9 - 3x
To find the cost of each burger and fry you will solve the second equation for y and substitute it in for the y in the first equation. This will put everything in terms of x, the price of a fry.
4x + 2(9 - 3x) = $14
4x + 18 - 6x = 14
-2x +18 = 14
-18 -18
<u>-2x</u> = <u>-4</u>
-2 -2
x = 2
Fry cost $2, and burgers cost (9 - 3 x 2) or $3.
4n - t<span>he length of a rectangle
4n : 2 = 2n - </span>the width of a rectangle
P = (4n + 2n) * 2
P = 12n
12n : 2 = 6n - the perimeter of the equilateral triangle
P = 3a
6n = 3a
a = 6n : 3
a = 2n - <span>the side length of the triangle - answer.</span>
