The perimeter is 18 sq cm.
2(4) + 2(5)
8 + 10 = 18.
Events A and B are independent if the following holds true:
P(A ∩ B) = P(A) * P(B)
where P(A ∩ B) is the probability of A and B, P(A) is the probability of A, and P(B) is the probability of B.
Setting A = "snow" and B = "cold weather", and plugging in the above numbers will give you the answer.
Answer:
All real numbers
Step-by-step explanation:
Solve a system of equations by elimination
With the equation given, you can solve for y to get: y = 
x - 
Then, substitute this value in on the equation.
x - 5(x - ) = 6
x - x + 6 = 6
6 = 6
The solution is all real numbers
Let the daily played number of pop songs be P, the number of rock songs be R and the number of hip-hop songs be H.
i)
"A radio station plays a total of 272 pop, rock, and hip-hop songs during a day"
means that : P+R+H=272
ii)
"The number of pop songs is 3 times the number of rock songs. "
so, P=3R
iii)
"The number of hip-hop songs is 32 more than the number of rock songs."
means: H=32+R
iv)
since both P and H can be written in terms of R, we have:
P+R+H=272
(3R)+R+(32+R)=272
3R+R+32+R=272
5R+32=272
5R=272-32=240
R=240/5=48
vi)
thus: P=3R=3*48=144, H=32+R= 32+48=80
Answer:
48 Rock, 144 Pop and 80 Hip-hop
