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Answer:
5
Step-by-step explanation:
Answer:
So, 89 Adult tickets were sold.
Step-by-step explanation:
So, we first name our variables, say, a for number of adult tickets, and c for child tickets.
Then we write our system of equations, first the total $ sale:
5.2c + 8.3a = 1087.10
Then we write the 2nd equation, the total number of tickets:
c + a = 156
Now, we can solve the system:
We do have different methods, let's to by subsitution.
make some change to the 2nd equation, to make c the subject: c = 156 - a
Now we plug that into the 1st equation:
5.2(156 - a) + 8.3a = 1087.10
811.2 - 5.2a + 8.3a = 1087.10
811.2 + 3.1a = 1087.10
3.1a = 275.9
a = 89
Answer:
Area of circle = 465.82 cm²
Step-by-step explanation:
Given the following data;
Circumference of the hub cap = 76.49 cm
Pie, π = 3.14
To find the area of the hub cap;
First of all, we would determine the radius of the hub cap.
Mathematically, circumfeence of a circle is equal to;
C = 2πr
Where:
C is the circumference of a circle.
r is the radius of a circle.
C = 2πr
76.49 = 2 * 3.14 * r
76.49 = 6.28r
Radius, r = 76.49/6.28
Radius, r = 12.18 cm
Next, we find the area of the hub cap;
Area of circle = πr²
Area of circle = 3.14 * 12.18²
Area of circle = 3.14 * 148.35
Area of circle = 465.82 cm²
However, if the circumference of the hub cap were smaller, the area of the hub cap would also be smaller. Thus, the circumference of a hub cap is directly proportional to the area of a hub cap.
