Answer:
1. 7^(x-y)
2. z^5x^y
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)/(a^c) = a^(b-c)
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1.
![\dfrac{7^x}{7^y}=\boxed{7^{x-y}}](https://tex.z-dn.net/?f=%5Cdfrac%7B7%5Ex%7D%7B7%5Ey%7D%3D%5Cboxed%7B7%5E%7Bx-y%7D%7D)
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2.
![\dfrac{z^{10}x^y}{z^5}=x^yz^{10-5}=\boxed{z^5x^y}](https://tex.z-dn.net/?f=%5Cdfrac%7Bz%5E%7B10%7Dx%5Ey%7D%7Bz%5E5%7D%3Dx%5Eyz%5E%7B10-5%7D%3D%5Cboxed%7Bz%5E5x%5Ey%7D)
Answer:
let’s make a Unit rate.
$20/4 hours = $5 per hour
So you earn $5 in 1 hour if you earn $20 in 4 hours.
hope this helps and pls mark me brainliest if it did ;)
Answer:
B
Step-by-step explanation:
ANSWER
![x=\frac{13}{62}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B13%7D%7B62%7D)
and
e have
EXPLANATION
![17x-3y=4---(1)](https://tex.z-dn.net/?f=17x-3y%3D4---%281%29)
![2x-4y=1](https://tex.z-dn.net/?f=2x-4y%3D1)
Let us make y the subject and call it equation (2)
![2x=1+4y](https://tex.z-dn.net/?f=2x%3D1%2B4y)
![x=\frac{1}{2}+2y--(2)](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D%2B2y--%282%29)
We put equation (2) in to equation (1)
![17(\frac{1}{2}+2y)-3y=4](https://tex.z-dn.net/?f=17%28%5Cfrac%7B1%7D%7B2%7D%2B2y%29-3y%3D4)
![\frac{17}{2}+34y-3y=4](https://tex.z-dn.net/?f=%5Cfrac%7B17%7D%7B2%7D%2B34y-3y%3D4)
![34y-3y=4- \frac{17}{2}](https://tex.z-dn.net/?f=34y-3y%3D4-%20%5Cfrac%7B17%7D%7B2%7D%20)
Simplify to get,
![31y= \frac{8-17}{2}](https://tex.z-dn.net/?f=31y%3D%20%5Cfrac%7B8-17%7D%7B2%7D%20)
![31y= \frac{-9}{2}](https://tex.z-dn.net/?f=31y%3D%20%5Cfrac%7B-9%7D%7B2%7D%20)
Divide both sides by 31,
![y= \frac{-9}{2} \div 31](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B-9%7D%7B2%7D%20%5Cdiv%2031)
![y= \frac{-9}{2} \times \frac{1}{31}](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B-9%7D%7B2%7D%20%5Ctimes%20%5Cfrac%7B1%7D%7B31%7D)
![y= \frac{-9}{62}](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B-9%7D%7B62%7D)
We put this value in to equation (2) to get,
![x=\frac{1}{2}+2\times -\frac{9}{62}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D%2B2%5Ctimes%20-%5Cfrac%7B9%7D%7B62%7D)
![x=\frac{1}{2} -\frac{18}{62}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D%20-%5Cfrac%7B18%7D%7B62%7D)
We collect LCM to obtain,
![x=\frac{31-18}{62}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B31-18%7D%7B62%7D)
![x=\frac{13}{62}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B13%7D%7B62%7D)