Given:
total of 224 visitors
older than 18 paid $12
18 and below paid $8
total collection 2,520
Let l be visitors older than 18 and m be visitors 18 and below.
l + m = 224
12l + 8m = 2,520
l = 224 - m
12(224 - m) + 8m = 2520
2688 - 12m + 8m = 2520
-4m = 2520 - 2688
-4m = -168
m = -168/-4
m = 42 number of visitors 18 and below.
l = 224 - m
l = 224 - 42
l = 182 number of visitors older than 18.
12(182) + 8(42) = 2520
2184 + 336 = 2520
2520 = 2520
Answer:
Option C. the volume of water in the tank is decreasing by 0.4L per hour
Step-by-step explanation:
step 1
Find the slope
we know that
The formula to calculate the slope between two points is equal to
we have
Substitute the values
The slope is negative
so
is decreasing
That means------> the volume of water in the tank is decreasing by 0.4L per hour
Y = 3x
x = 3y
y = x/3 is the inverse
The standard equation of a parabola is:
(y-k) = a(x - h)² , where h and k are the coordinates of the Vertex
Since the vertex is ( - 5 , -7), then :
(y +7) = a (x + 5)².
It's given that the vertex is a minimum, that means the coefficient a>0 and the parabola is open upward.
Depending on the value of a (always a>0) , the equation :
y = a(x-5)² + 7 is a parabola
G^2+gh/3
.......
/ means its a fraction
