the answer is 16 because .80 times 20 is 16
I believe in standard form this would be 31/2 + 27i/2
Answer: they can rent the room for less than 6 hours.
Step-by-step explanation:
Let x represent the possible amounts of time in which they can rent the room.
There is a reservation fee of $47 and an additional hourly fee of $7.40. This means that the total cost of renting the room for x hours would be
47 + 7.4x
The math club wants to spend less than $91.40 on renting the room. This would be expressed as
47 + 7.4x < 91.4
7.4x < 91.4 - 47
7.4x < 44.4
x < 44.4/7.4
x < 6
Opposite sides of a parallelogram are equal lengths, so ...
... AB = CD
... 6x +30 = 2y -10
and
... BC = AD
... 2x -5 = y -35
_____
The equations can be put in standard form to get
... 3x -y = -20
... 2x -y = -30
Subtracting the second from the first, we get
... x = 10
Solving for y, we have
... y = 2x+30 = 2·10 +30 = 50
The values of x and y are x=10, y=50.
_____
AB = 6x+30 = 90
BC = 2x-5 = 15
