Answer:
or 0.0025 0r 0.25%
Step-by-step explanation:
There are three categories that will get a prize
1) First place = 1 person
2) Second place = 5 persons
3) Third place = 20 persons
A total of 26 people will get prizes.
However, we want to determine your chance to win one of the second place prizes
There are 5 prizes in second place
This means out of a total of 2000 people, you could be among the 5
i.e 5 out of 2000
This is 
This means you have a chance of 1 out of 400
= 0.25%
Answer: x = 10
Explanation: To solve this equation for <em>x</em>, we start by distributing the 2 through the parentheses on the left side.
So we have 2 times <em>x</em> which is 2x and 2 times -3 which is -6. So our equation now reads 2x - 6 = 14.
Solving from here,
we add 6 to both sides of the equation and we have 2x = 20 and dividing both sides by 2, we find that <em>x = 10</em>.
We can check our answer by substituting a 10 back in for <em>x</em> in the original equation and we have 2(10 - 3) = 14.
10 - 3 is 7 so we have 2(7) = 14 or 14 = 14 which is a true statement so our answer checks.
Answer: (2*p + 3)/q
Step-by-step explanation:
First, let's remember the relationships:
Logₙ(a) = Ln(a)/Ln(n)
Ln(A*B) = Ln(A) + Ln(B)
Ln(a^n) = n*Ln(a)
Now, we know that:
Logₓ(2) = p
Logₓ(7) = q
We want to express:
Log₇(4*x^3) in terms of p and q.
First, we can rewrite the first two relations as:
Ln(2)/Ln(x) = p
Ln(7)/ln(x) = q
then we have:
Ln(2) = p*Ln(x)
Ln(7) = q*Ln(x)
Ok:
Now let's play with our equation:
Log₇(4*x^3)
First, this is equal to:
Ln(4*x^3)/Ln(7)
We now can rewrite this as:
(Ln(4) + Ln(x^3))/Ln(7)
= (Ln(2^2) + Ln(x^3))/Ln(7)
= (2*Ln(2) + 3*Ln(x))/Ln(7)
Now we can replace Ln(2) by p*Ln(x) and Ln(7) by q*Ln(x)
(2*p*Ln(x) + 3*Ln(x))/(q*Ln(x)) = (2*p + 3)/q
This is the expression we wanted.
Answer:
They will have 53 CDs when they have the same amount. You have to add the amounts 5 times
Step-by-step explanation:
8+9=17+9=26+9=35+9=44+9=53
18+7=25+7=32+7=39+7=46+7=53
Hope this helps
Please mark me as brainliest
Answer:
35
Step-by-step explanation:
40*3=120
120-85=35