Answer:
A
Step-by-step explanation:
Given
9 > - 2m + 2 - 3, that is
9 > - 2m - 1 ( add 1 to both sides )
10 > - 2m
Divide both sides by - 2, reversing the symbol as a result if dividing by a negative quantity.
- 5 < m , thus
m > - 5 → A
For this case we must find an expression equivalent to:
So:
We expanded 
by moving 2 out of the logarithm:
By definition of logarithm properties we have to:
The logarithm of a product is equal to the sum of the logarithms of each factor:
The logarithm of a division is equal to the difference of logarithms of the numerator and denominator.
Then, rewriting the expression:
We apply distributive property:
Answer:
An equivalent expression is:
You subtract 7% from 32=29.76
Then you subtract 8% from 29.76=27.379
Step-by-step explanation:
there are 50 students and 5 prizes (1 + 1 + 3).
so, already in natural language we would say "there is 1 prize for every 10 students".
formally, remember the rule of probability : desired outcomes over total possible outcomes.
this is here
5/50 = 1/10 = 0.1
your can see it also this way :
if there was only 1 prize, each student would have a chance of 1/50 of winning.
now there are 5 prizes, which gives everybody 5 times the chance of winning. which is then 5×1/50 = 5/50 = 0.1
