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
The solution to the problem is as follows:
If you use Ln you can get rid of e.
ln(e^0.4x) = ln(0.4)
0.4x = ln(0.4)
x = (ln(0.4))/0.4
<span>x = -2.29
</span>
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The answer is A. Because you can’t lose the amount of steps you took.
Answer:
The area of the figure = 112 in²
Step-by-step explanation:
The figure consist of:
1) A square of side length of 10 in.
2) A right triangle with a base of (10 - 6 = 4 in) and a height of (16 - 10 = 6 in)
So,
The area of the square = (side length)² = 10² = 100 in²
The area of the triangle = 0.5 * height * base = 0.5 * 6 * 4 = 12 in²
So,
The total area = 100 + 12 = 112 in²
<u>The area of the figure = 112 in²</u>
Hello!
As we are looking for the opposite side and hypotenuse, we will use the sine.
sin30=1/2
This gives us the equation below.
1/2= 5/x
1/2x=5
x=10
Therefore, x=10.
I hope this helps!