The answer is 840 because you just have to add $500 and $10 and $300 and $30 and that is what you get .
Hope this helps!
![\frac{(-2x^2y)^3}{(xy^2z)^2(-yz)^2}](https://tex.z-dn.net/?f=%5Cfrac%7B%28-2x%5E2y%29%5E3%7D%7B%28xy%5E2z%29%5E2%28-yz%29%5E2%7D)
On top: (-2)³ = -2 × -2 × -2 = -8
(x²)³ = x^6 (the exponents multiply)
and of course, (y)³ = y³
On the bottom: (xy²z)² = x² y^4 z²
(-yz)² = y²z²
Multiplying these together, the exponents add and we get x² y^6 z^4.
![\frac{-8x^6y^3}{x^2y^6z^4}](https://tex.z-dn.net/?f=%5Cfrac%7B-8x%5E6y%5E3%7D%7Bx%5E2y%5E6z%5E4%7D)
So, your reasoning is correct for what you have so far.
Your next step would be cancelling shared factors from the top and bottom.
Just like with regular fractions, if the numerator and denominator are divisible by the same number, you can divide them by it to simplify. (ex: 4/6 = 2/3)
Well, x^6 and x^2 are both divisible by x^2, right?
We can also cancel the y^3.
It might help to visualise the factors like this:
![\frac{-8xxxxxxyyy}{xxyyyyyyzzzz}](https://tex.z-dn.net/?f=%5Cfrac%7B-8xxxxxxyyy%7D%7Bxxyyyyyyzzzz%7D)
Once you've cancelled out x² and y³ from each, you're left with
Unit Rate is 6:
54 to 9
72 to 12
Unit Rate is 8:
72 to 9
Unit Rate is 10:
120 to 12
70 to 7
Doesn't belong to any category:
81 to 9
Answer:
180 quarters
Step-by-step explanation:
Answer:
any angle under 90 degrees is acute. A right angle is 90 degrees always, and obtuse angles are always above 90 degrees. Straight angles are always 180 degrees. A reflex angle is more than 180 degrees but less than 360 degrees. Hope this helps.