Answer:
The value of z is:
z = 6
Step-by-step explanation:
We have been given 4 options of z. Lets substitute each value in the given equation to see which option satisfies.
<h3 /><h3>For z = 3</h3>
sin(9z - 1) = cos(6z + 1)
sin(9(3) - 1) = cos(6(3) + 1)
sin(26) = cos(19)
0.438 = 0.945
FALSE
<h3 /><h3>For z = 4</h3>
sin(9z - 1) = cos(6z + 1)
sin(9(4) - 1) = cos(6(4) + 1)
sin(35) = cos(25)
0.574 = 0.965
FALSE
<h3 /><h3>For z = 5</h3>
sin(9z - 1) = cos(6z + 1)
sin(9(5) - 1) = cos(6(5) + 1)
sin(44) = cos(31)
0.695 = 0.857
FALSE
<h3 /><h3>For z = 6</h3>
sin(9z - 1) = cos(6z + 1)
sin(9(6) - 1) = cos(6(6) + 1)
sin(53) = cos(37)
0.799 = 0.799
TRUE
<h3 />
Add 6 to both sides so that you can get the variable by itself
Let a and c represent the numbers of adult and children's tickets sold, respectively. The system of equations will have one equation for revenue and one equation for number of tickets.
The revenue equation is
18a +9c = 4959
The number of tickets equation is
a + c = 319
_____
The solution can be found any number of ways. It is
(a, c) = (232, 87)
Answer:
4/3
Step-by-step explanation:
-10x + 2 = 14x
24x = 2
x = 2/24 or 1/12
16 x 1/12 = 16/12 or 4/3