Set up a proportion. take 3/6 = 20/x
Cross multiply 3 * x = 6 * 20
Simplify 3x = 120
Divide by 3 x = 40
So the denominator of the bottom fraction is 40
Given:
Expression is
To prove:
If r is any rational number, then is rational.
Step-by-step explanation:
Property 1: Every integer is a rational number. It is Theorem 4.3.1.
Property 2: The sum of any two rational numbers is rational. It is Theorem 4.3.2.
Property 3: The product of any two rational numbers is rational. It is Exercise 15 in Section 4.3.
Let r be any rational number.
We have,
It can be written as
Now,
3, -2 and 4 are rational numbers by property 1.
is rational by Property 3.
are rational by Property 3.
is rational by property 2.
So, is rational.
Hence proved.
Answer:
9/40
Step-by-step explanation:
Captain Jessica shoots first. This means her ship has not already been hit, which means she has a 2/5 chance of hitting the pirate ship. This also means she has a 1-2/5 = 3/5 chance of missing the pirate ship.
Since Captain Jessica misses, dread pirate Ishaan has a 3/8 chance of hitting the captain's ship. This means he has a
3/5(3/8) = 9/40 chance of the captain missing the pirate and the pirate hitting the captain.
Answer:
the dog was born on july 30th so the dog would be 3 months and a week old
Step-by-step explanation:
Answer:
-12
Step-by-step explanation:
