Answer:
Step-by-step explanation:
- To know the value that y takes according to the inequation
, we must do some algebra. - First of all, we divide both terms by (-3), wich would change the direction of the inequality, as follow:
(at this point you should remember that dividing or multiplying an inequation by anegative number changes the direction of the inequality).. - This means that
. Then,we just have to add both sides 4, which yields 
. - Then
, which means that, if we divide both sides by 5, we obtain the value of y: (in this case, the direction of inequality does not change because 5 is possitive).
Answer:
4*x^4*y^22
Step-by-step explanation:
Your goal here is to REDUCE the given expression to simplest terms.
One way in which to approach this problem would be to rewrite (2x^2y^10)^3 as: (2x^2*y^8)*y^2*(2x^2*y^10)^2.
Dividing this rewritten expression by 2x^2*y^8 results in:
y^2(2x^2*y^10)^2.
We now need to raise (2x^2*y^10) to the power 2. Doing this, we get:
4x^4*y^20.
Multiply this by y^2 (see above):
y^2*4x^4*y^20
The first factor is 4: 4y^2*x^4*y^20. This is followed by the product of y^2 and y^20: 4*y^22*x^4
Finally, this should be re-written as
4*x^4*y^22
Another way of doing this problem would involve expanding the numerator fully and then cancelling out like factors:
8*x^6*y^30 4*x^4*y^22
----------------- = ------------------ = 4*x^4*y^22
2x^2y^8 1
Answer: Light bulbs.
Step-by-step explanation:
Paint Brushes: 29.82 ÷ 14 = $2.13 per brush.
Drywall Screws : 31.84 ÷ 16 = $1.99 per anchor screw.
Light Bulbs: 27.15 ÷ 12 = $2.26 per light bulb.
Sandpaper: 36.54 ÷ 18 = $2.06 per piece of sandpaper.
Answer:
200
Step-by-step explanation:
If there are 2 squares next to eachother with the same area, then their perimeter is 6*sidelength.
60 = 6*sidelength
10 = sidelength
Square the sidelength to find the area of the square. 10^2 = 100
Multiply that by 2 to find the area of the rectangle. 100*2 =
200
