Answer:
x=9 y=24
Step-by-step explanation:
Answer:
![3^{12}](https://tex.z-dn.net/?f=%203%5E%7B12%7D%20)
Step-by-step explanation:
![\dfrac{(3^5)^2}{3^{-2}} =](https://tex.z-dn.net/?f=%20%5Cdfrac%7B%283%5E5%29%5E2%7D%7B3%5E%7B-2%7D%7D%20%3D%20)
![= \dfrac{3^{10}}{3^{-2}}](https://tex.z-dn.net/?f=%20%3D%20%5Cdfrac%7B3%5E%7B10%7D%7D%7B3%5E%7B-2%7D%7D%20)
![= 3^{10-(-2)}](https://tex.z-dn.net/?f=%3D%203%5E%7B10-%28-2%29%7D)
![= 3^{10 + 2}](https://tex.z-dn.net/?f=%20%3D%203%5E%7B10%20%2B%202%7D%20)
![= 3^{12}](https://tex.z-dn.net/?f=%20%3D%203%5E%7B12%7D%20)
Answer:
The equation of the line is ![y = - \frac{1}{2} x + 1](https://tex.z-dn.net/?f=y%20%3D%20%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20x%20%2B%201)
Step-by-step explanation:
☆Remember: ![slope = \frac{rise}{run}](https://tex.z-dn.net/?f=slope%20%3D%20%20%5Cfrac%7Brise%7D%7Brun%7D%20%20)
▪Happy To Help <3
On drawing , we have scale of 2 yard = 1 inch
so sides must be 6 inch, 7 inch, 8 inch and 9 inch !!
( just divide ) !!
if you got any problem, comment !!
Given
jenny mixed 4kg of mixed nuts containing 16% of peanuts with 12kg of mixed nuts containing 40% of peanuts .
Find
Percent in the new mixture of peanuts
Explanation
we are given 4kg of mixed nuts containing 16% of peanuts
Amount of quantity =
![\frac{percentage}{100}\times totalamount](https://tex.z-dn.net/?f=%5Cfrac%7Bpercentage%7D%7B100%7D%5Ctimes%20totalamount)
so,
![\frac{16}{100}\times4=0.64kg](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B100%7D%5Ctimes4%3D0.64kg)
and also 12kg of mixed nuts containing 40% of peanuts .
so,
![\frac{40}{100}\times12=4.8kg](https://tex.z-dn.net/?f=%5Cfrac%7B40%7D%7B100%7D%5Ctimes12%3D4.8kg)
so,total weight
![0.64+4.80=5.44kg](https://tex.z-dn.net/?f=0.64%2B4.80%3D5.44kg)
let total mass pf mixture containing x % peanuts.
so,
![\begin{gathered} \frac{5.44}{16}=\frac{x}{100} \\ 34=x \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B5.44%7D%7B16%7D%3D%5Cfrac%7Bx%7D%7B100%7D%20%5C%5C%2034%3Dx%20%5Cend%7Bgathered%7D)
Final Answer
Percent in the new mixture of peanuts = 34%