Answer:
34
Step-by-step explanation:
$1.25 = 125 cents.
$42 = 4200 cents
Tickets sold at 75 cents = x
Tickets sold at 125 cents = y
x + y = 40
75x + 125y = 4200
Multiply the first equation by 75
75x + 75y = 3000
75x + 125y = 4200
Subtract the the second equation from the first.
75x + 75y = 3000
- 75x + 125y = 4200
-------------------------------
0 - 150y = - 1200
Divide both sides by - 150
-150y/-150 = -1200/-150
y = 8
Substitute y = 8 into the first equation
x + y = 42
x + 8 = 42
x = 42 - 8
x = 34
34 tickets were sold for 75 cents
8 tickets were sold for $1.25
Answer:
3.68
Step-by-step explanation:
<h2><u>Answer:</u></h2>
The Volume of a cylinder is calculated by the following formula (equation 1):
(1)
Where is the radius of the circle that is the base of the cylinder and the height.
If we divide equation (1) by we obtain the area of the circle, as shown in equation (2):
(2)
Now, we know the volume of the cylinder in this problem is expressed as:
(3)
And its height as:
(4)
Knowing this, let’s find the area of the base (area of a circle):
If we divide each term by the common denominator we have:
Simplifying we finally have:
>>>>> This is the expression of the area of the base