Answer:
y = 5; x = 1/5
Step-by-step explanation:
xy = 1 -----> x = 1/y
xy^2 = 5 -----> 1/y * y^2 = 5
y^2 / y = 5
y = 5
5x = 1
x = 1/5
Hope this Helps!
Answer:
P(not 5) = 5/6
Step-by-step explanation:
There are 6 possible equally likely outcomes {1, 2, 3, 4, 5, 6}. The probabiity of each outcome is 1/6. There are five outcomes in the even "not 5" -- {1, 2, 3, 4, 6}. The probability of the event is 5/6.
Answer:
The height of the cloud cover is 441.66 meters
Step-by-step explanation:
Distance = 560 m
The height of the cloud cover = h meters
According to the diagram, the worker stands at point R,
Let RT = x
tan 45⁰ = =
therefore, 1 = , h = x
Then tan 75⁰ = , substituting x = h, we have
3.732 =
3.732(560 - h) = h
3.732 × 560 = 3.732h + h
2089.92 = 4.732h
h = 441.66 m
I think it’s the maximum number of solutions is one
Let
be the adults, and let
the number of students.
We know for our problem that Mr. Steele purchased 9 tickets, so
. This is first equation of our system of equations.
We also know that the Arcadia theater charges $8 for adult tickets and $2 for student tickets, so
. This is the second equation of our system.
Now, lets put both equations together to create the system of equation that could be used to find a, the number of adult tickets, and s, the number of student tickets Mr. Steele<span> purchased:
</span>
To solve our system, we are going to solve for
in equation (1), and then we are going to replace that value in equation (2):
From equation (1):
equation (3)
Replace equation (3) in equation (2):
equation (4)
Replace equation (4) in equation (3):
We can conclude that Mr. Steele purchased 2 adult tickets and 7 student tickets.