It has to be the 2 and 3 because when you multiply fractions you use keep change flip for example 2/3 divided by 2/3 you keep the first fraction 2/3 you change division to multiplication and you flip the last fraction which will be 2/3x3/2
B because the area of a circle is (pi)(r)^2.
Answer: Three quarters (30 ml) is made up of a 36% acid solution.
Step-by-step explanation:
Since we have given that
Total amount of solution = 40 ml
One- quarter of the solution is given by

Three-quarter of the solution is given by

According to question, we have
10 ml of solution is made up of = 20% of acid solution
30 ml of solution is made up of = say<em> 'c </em>' of acid solution
40 ml of solution is made up of = 32 % of acid solution
So, our equation becomes,

Hence, three quarters (30 ml) is made up of a 36% acid solution.
Given:
15. 
17. 
19. 
To find:
The values of the given logarithms by using the properties of logarithms.
Solution:
15. We have,

Using property of logarithms, we get
![[\because \log_aa=1]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Clog_aa%3D1%5D)
Therefore, the value of
is 1.
17. We have,

Using properties of logarithms, we get
![[\because \log_a\dfrac{m}{n}=-\log_a\dfrac{n}{m}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Clog_a%5Cdfrac%7Bm%7D%7Bn%7D%3D-%5Clog_a%5Cdfrac%7Bn%7D%7Bm%7D%5D)
![[\because \log_aa=1]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Clog_aa%3D1%5D)
Therefore, the value of
is -1.
19. We have,

Using property of logarithms, we get
![[\because a^{\log_ax}=x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5E%7B%5Clog_ax%7D%3Dx%5D)
Therefore, the value of
is 100.
Answer:
m = 7
Step-by-step explanation:
- 3(12 - m) = - 1(m - 8)
- 36 - (- 3m) = - m - 8
- 36 + 3m = - m - 8
- 36 + 3m + m = - m + m - 8
- 36 + 4m = - 8
- 36 + 36 + 4m = - 8 + 36
4m = 28
4m ÷ 4 = 28 ÷ 4
m = 7