Let a=price of adult ticket
let c=price of a child's ticket
start out by writing the following system of equations:
3a+4c=132
2a+3c=94
then, multiply the first equation by 2, and the second equation by 3 to get the following system of equations:
6a+8c=264
6a+9c=282
subtract the like terms to get the following equation:
-c=-18
divide both sides by -1 to get rid of the negative to get the price of a child's ticket to be $18. to find the price of an adult ticket, pick one of the original equations to substitute the 18 in for c to find a. for example:
2a+3c=94
2a+3(18)=94
2a+54=94
-54 -54
2a=40
2 2
a=20
or if you decide to use the other equation:
3a+4c=132
3a+4(18)=132
3a+72=132
-72 -72
3a=60
3 3
a=20
either way, you still get an adults ticket to be $20 and a child's ticket to be $18.
Answer:
12 days
Step-by-step explanation:
Option C: 90° is the value of x.
Explanation:
The given expression is 
for 
We need to solve the expression.
Thus, we have,
Subtracting both sides by 4, we have,
Adding both sides by 8 sin x, we get,
Dividing both sides by 10, we have,
Taking 
on both sides of the equation, we get,
Thus, the value of x is 90°
Hence, Option C is the correct answer.
Hello :
let : z = -7+2i and z' = <span>33+11i z - z' = 40 +9 i
</span>the radius of a circle : |z - z' | = √((40)²+(9)²) =√1681 = 41
