Hello from MrBillDoesMath!
Answer:
x = 19
Discussion:
Both sides are logarithms to the same base, namely 20
, which implies the expressions in x (what we are taking logarithms of) must be equal. So we need to solve
4x - 10 = 3x + 9 => subtract 3x from both sides
4x-3x - 10 = 9 => add 10 to both sides
x = 9 + 10 = 19
Thank you,
MrB
Answer:
94.7%
Step-by-step explanation:
If it is only winning or losing cards, then you can subtract 5.3 from 100 because probability is out of 100%
100-5.3 = 94.7
Answer:
70
Step-by-step explanation:
= First term = 
= Common difference = 
= Number of terms = 20
Sum of arithmetic progression is given by
![S=\dfrac{n}{2}[2a_1+(n-1)d]\\\Rightarrow S=\dfrac{20}{2}\times (2\times \dfrac{1}{3}+(20-1)\dfrac{1}{3})\\\Rightarrow S=70](https://tex.z-dn.net/?f=S%3D%5Cdfrac%7Bn%7D%7B2%7D%5B2a_1%2B%28n-1%29d%5D%5C%5C%5CRightarrow%20S%3D%5Cdfrac%7B20%7D%7B2%7D%5Ctimes%20%282%5Ctimes%20%5Cdfrac%7B1%7D%7B3%7D%2B%2820-1%29%5Cdfrac%7B1%7D%7B3%7D%29%5C%5C%5CRightarrow%20S%3D70)
The sum of the first 20 terms of the arithmetic sequence is 70.
Answer:
3
Step-by-step explanation:
