Answer:
1000 m of fence can make a 3-sided enclosure of 125,000 m²
Step-by-step explanation:
Let x represent the length of fence parallel to the river. Then the perpendicular dimension is ...
width = (1000 -x)/2
and the enclosed area is ...
area = length×width = (x)(1000 -x)/2
This describes a downward-opening parabola with zeros at x=0 and x=1000. The vertex (maximum) is halfway between, at x=500.
Then the maximum area is ...
area = (500)(1000 -500)/2 = 125,000 . . . . square meters
Let the price of the tickets be 'x' and the number of tickets bought is 'y'
When the y inversely proportioned to x, the equation is
y = k/x where k is a constant
We work out the value of k by using the information y = 6 and x = 5
6 = k/5
k = 30
Hence, the maximum number of tickets when the price is $3 is
y = 30/3
y = 10 tickets
Answer:
C
Step-by-step explanation:
108/(108-72) = 108/36 = 3
60/3 = 20
B. The total cost depends on the number of roses purchased.
Answer:
83
Step-by-step explanation:
Angle 7 & angle 8 are supplementary angles, meaning they add up to 180º.
Angle 8 & angle 12 are corresponding angles, so they are equal.
If we solve for the measure of angle 8, it will be the same answer as angle 12.
Therefore, angle 7 & angle 12 add up to 180º.
80 + (x+17) = 180
Solve:
(80-80) + (x+17) = 180-80
X+17 = 100
X + (17-17) = 100-17
X = 83
