Answer:
![x=100](https://tex.z-dn.net/?f=x%3D100)
![y=10](https://tex.z-dn.net/?f=y%3D10)
Step-by-step explanation:
we are given
![log_1_0(\frac{x}{y})=1](https://tex.z-dn.net/?f=log_1_0%28%5Cfrac%7Bx%7D%7By%7D%29%3D1)
Firstly, we will get rid of log
so, we will take exponent over 10 on both sides
![10^{log_1_0(\frac{x}{y})}=10^{1}](https://tex.z-dn.net/?f=10%5E%7Blog_1_0%28%5Cfrac%7Bx%7D%7By%7D%29%7D%3D10%5E%7B1%7D)
now, we can simplify it
![\frac{x}{y}=10](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7By%7D%3D10)
now, we can solve for x
![x=10y](https://tex.z-dn.net/?f=x%3D10y)
we are given
![log_1_0(x^2y^3)=7](https://tex.z-dn.net/?f=log_1_0%28x%5E2y%5E3%29%3D7)
Firstly, we will get rid of log
so, we will take exponent of 10 on both sides
![10^{log_1_0(x^2y^3)}=10^7](https://tex.z-dn.net/?f=10%5E%7Blog_1_0%28x%5E2y%5E3%29%7D%3D10%5E7)
![x^2y^3=10^7](https://tex.z-dn.net/?f=x%5E2y%5E3%3D10%5E7)
now, we can plug back x from first equation
![(10y)^2y^3=10^7](https://tex.z-dn.net/?f=%2810y%29%5E2y%5E3%3D10%5E7)
now, we can solve for y
![100y^5=10000000](https://tex.z-dn.net/?f=100y%5E5%3D10000000)
![\frac{100y^5}{100}=\frac{10000000}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B100y%5E5%7D%7B100%7D%3D%5Cfrac%7B10000000%7D%7B100%7D)
![y^5=100000](https://tex.z-dn.net/?f=y%5E5%3D100000)
now, we can take radical 5
![y=\sqrt[5]{100000}](https://tex.z-dn.net/?f=y%3D%5Csqrt%5B5%5D%7B100000%7D)
![y=10](https://tex.z-dn.net/?f=y%3D10)
now, we can find x
![x=10\times 10](https://tex.z-dn.net/?f=x%3D10%5Ctimes%2010)
![x=100](https://tex.z-dn.net/?f=x%3D100)
So, solution is
![x=100](https://tex.z-dn.net/?f=x%3D100)
![y=10](https://tex.z-dn.net/?f=y%3D10)
im 11 can I?
Step-by-step explanation:
The store clerk will need to pack 8 boxes. This is because you have to divide 45 by 6 and you 7.5, but you can not split the box in half, so you need to round up since you have to pack all the shirts and you get 8.
So 13x5=65 and 7*6=42, add them up and get 107. So, Paul saved $107 for 11 weeks
Answer:
Step-by-step explanation:
1) The advertisements boast that 25% of the cereal in each box is almonds. It means that the percentage of the other cereals in the box is 100 - 25= 75%
Therefore, the portion of each box that is not almonds is 75/100 = 0.75
2) The advertisements boast that 25% of the cereal in each box is almonds. If each box contains 12 cups of cereal, then the number of cups of almonds in each box is
25/100 × 12 = 3 cups
3) if each box contains 12 cups of cereal, and 4 cups are oats, then the percentage of each box that is oats is
4/12 × 100 = 33.33%