Boop beep boop beep boop beep boop.
Answer:
sarah needs $3 more to buy the sandals
Step-by-step explanation:
Given:
![$x^{2} y^{8} \cdot \frac{x^{3} y^{?}}{x y^{3}}=x^{4} y^{2}](https://tex.z-dn.net/?f=%24x%5E%7B2%7D%20y%5E%7B8%7D%20%5Ccdot%20%5Cfrac%7Bx%5E%7B3%7D%20y%5E%7B%3F%7D%7D%7Bx%20y%5E%7B3%7D%7D%3Dx%5E%7B4%7D%20y%5E%7B2%7D)
To find:
The missing value.
Solution:
Let the missing value be m.
![$x^{2} y^{8} \cdot \frac{x^{3} y^{m}}{x y^{3}}=x^{4} y^{2}](https://tex.z-dn.net/?f=%24x%5E%7B2%7D%20y%5E%7B8%7D%20%5Ccdot%20%5Cfrac%7Bx%5E%7B3%7D%20y%5E%7Bm%7D%7D%7Bx%20y%5E%7B3%7D%7D%3Dx%5E%7B4%7D%20y%5E%7B2%7D)
Using exponent rule: ![a^m \cdot a^n=a^{m+n}](https://tex.z-dn.net/?f=a%5Em%20%5Ccdot%20a%5En%3Da%5E%7Bm%2Bn%7D)
![$ \frac{x^{2+3} y^{8+m}}{x y^{3}}=x^{4} y^{2}](https://tex.z-dn.net/?f=%24%20%5Cfrac%7Bx%5E%7B2%2B3%7D%20y%5E%7B8%2Bm%7D%7D%7Bx%20y%5E%7B3%7D%7D%3Dx%5E%7B4%7D%20y%5E%7B2%7D)
![$ \frac{x^{5} y^{8+m}}{x y^{3}}=x^{4} y^{2}](https://tex.z-dn.net/?f=%24%20%5Cfrac%7Bx%5E%7B5%7D%20y%5E%7B8%2Bm%7D%7D%7Bx%20y%5E%7B3%7D%7D%3Dx%5E%7B4%7D%20y%5E%7B2%7D)
Using exponent rule: ![\frac{a^m}{a^n} =a^{m-n}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%5Em%7D%7Ba%5En%7D%20%3Da%5E%7Bm-n%7D)
![$ x^{5-1} y^{8+m-3}=x^{4} y^{2}](https://tex.z-dn.net/?f=%24%20x%5E%7B5-1%7D%20y%5E%7B8%2Bm-3%7D%3Dx%5E%7B4%7D%20y%5E%7B2%7D)
![$ x^{4} y^{5+m}=x^{4} y^{2}](https://tex.z-dn.net/?f=%24%20x%5E%7B4%7D%20y%5E%7B5%2Bm%7D%3Dx%5E%7B4%7D%20y%5E%7B2%7D)
Equate x terms and y terms.
and ![y^{5+m}=y^2](https://tex.z-dn.net/?f=y%5E%7B5%2Bm%7D%3Dy%5E2)
If the bases are same, then the powers are equal.
![5+m=2](https://tex.z-dn.net/?f=5%2Bm%3D2)
Subtract 5 from both sides.
![5+m-5=2-5](https://tex.z-dn.net/?f=5%2Bm-5%3D2-5)
![m=-3](https://tex.z-dn.net/?f=m%3D-3)
The missing value is -3.
Answer:
Inequality that represents the amount paid by neighbors of Dani will be
x ≤ 8 + (4 + 16)
Step-by-step explanation:
Let the neighbors of Dani paid her to take care of their bird = $x
Danny spent on an afternoon snack = $4
She paid the amount for a new book = $16
Now the amount left with her is at least $8.
Therefore, inequality which represents the amount paid by her neighbor will be
x - 4 - 16 ≤ 8
x ≤ 8 + (4 + 16)
Answer:
try b
Step-by-step explanation:
i hope this helps