Answer:
52 adults and 42 children attended the concert
Step-by-step explanation:
Given:
Total attendees=94 people
Adults tickets=$2.5
Children tickets=$1.75
Total receipts=$203.5
Let adults=a
Children=c
a+c=94 (1)
2.5a + 1.75c=203.5 (2)
From (1)
a+c=94
a=94-c
Substitute a=94-c into (2)
2.5a + 1.75c=203.5
2.5(94-c) + 1.75c=203.5
235-2.5c+1.75c=203.5
-0.75c=203.5-235
-0.75c=-31.5
Divide both sides by -0.75
-0.75c/-0.75=-31.5/-0.75
c=42
Substitute c=42 into (1)
a+c=94
a+42=94
a=94-42
=52
a=52
Therefore,
52 adults and 42 children attended the concert
If you would like to know the volume of the cube, you can calculate this using the following steps:
volume = length * width * height
volume = 1 * 1 * 1
volume = 1
The volume of a cube is 1.
Answer:
The gradient of the line joining the points
and
is
.
Step-by-step explanation:
The gradient of the line joining two distinct point on a plane is represented by the slope of a secant line (
), that is:
(1)
If we know that
and
, then the gradient of the line is:


The gradient of the line joining the points
and
is
.
Answer:
x = 3/5
Step-by-step explanation:
After substituting each option into the equation, we find that the only option that makes the equation true is x=3/5, since 4/5 - 3/5 = 1/5.