Answer:
Senior citizen tickets = $9
Student tickets = $11
Step-by-step explanation:
We begin by converting these into simultaneous linear equation;
Senior citizen tickets = a
Student tickets = b
5a + 9b = 144
14a + 6b = 192
5a = 144 - 9b
a = 144/5 - 9b/5
a = 28.8 - 1.8b
We now substitute this into the first equation
14(28.8 - 1.8b) + 6b = 192
403.2 - 25.2b +6b = 192
-19.2b = 192 - 403.2
b = -211.2/-19.2
b = 11
Put the value of b into either equation
5a + 9b = 144
5a + 9(11) = 144
5a +99 = 144
5a = 144-99
5a = 45
a = 9
Answer:
3.5
Step-by-step explanation:
2x1/4=0.5
0.5x7=3.5
=3.5
Answer: There are no solutions.
Step-by-step explanation: So the way you do this is by subtracting 9p from both sides, which gets you:
8 = -7
Since 8 is not equal to -7, there is no solution to this equation.
Answer:
1.97 years
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 8/100
r = 0.08 per year,
Then, solve the equation for t
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(17,500.00/15,000.00) / ( 2 × [ln(1 + 0.08/2)] )
t = ln(17,500.00/15,000.00) / ( 2 × [ln(1 + 0.04)] )
t = 1.965 years
:D
This question is easy if you think about it. First get the area of the rectangular part of the shape and then find area of the two semi-circles then add them together.
First, let's solve for the rectangle because it's easier.
Area for finding a rectangle A = w * l
A = 23 * 37
A = 851
Now for the semi-circle. First use the equation for finding the area of a circle which is A = Pi * r^2. We'll use 3.14 for Pi.
We know the diameter is 23. And to get the radius we just half it because the radius is half of the diameter.
23 / 2 = 11.5
A = 3.14 * 11.5^2
A = 3.14 * <span>132.25
</span>A = <span>415.265
</span>
Now we have the total area for both semi-circles. Because if we half 415.265 then add the other semi-circle's area it will be the same and adding them up will result in 415.265.
Now add up 851 and 415.265.
851 + 415.265 = <span>1266.265</span>
