3x + 2y = $134
2x + 3y = $146
Using elimination to solve for x
9x +6y = 3*134 Multiplying 1st equation by 3
-4x -6y = -2*146 | Multiplying 2nd equation by -2
5x = 3*134 - 2*146
5x = $110
x = $22, the cost of the youth ticket
Put x= 22 Into An Equation Then Solve For y
3(22)+2y= 134
66+ 2y=134
Subtract 66
2y=68
Y= 34
CHECKING Answer ($34 being the cost of the adult ticket) y = (134-3*22)/2
3*$22 + 2*$34 = $66 + $68 = $134
Answer:
1/48 is the correct answer
Answer:
1. a=22.18394
2. 13.31803
Step-by-step explanation:
Answer:
Options B and D are true.
Step-by-step explanation:
See the diagram attached.
Line a and b are parallel and line c is not parallel to them.
There is a transverse line and this line forms the angles 1 to 12.
Now, option A gives ∠ 8 + ∠ 10 = 180° which can not be true as line c is not parallel to line b.
Option B gives ∠4 + ∠ 6 = 180° which is true because line a is parallel to line b and ∠ 4 and ∠ 6 are interior supplementary angles.
Option C gives ∠ 1 + ∠ 11 = 180° which can not be true as line c is not parallel to line a.
Option D gives ∠3 + ∠ 5 = 180° which is true because line a is parallel to line b and ∠ 3 and ∠ 5 are interior supplementary angles.
Therefore, options B and D are true. (Answer)
Answer:
As per the statement: A radio station had 205 tickets to a concert. They gave away 4 times as many tickets to listeners as to employees.
⇒Let number of tickets Employees have x and Number of ticket Listeners have 4x
It is also, given that a radio station had 205 ticket to a concert.
⇒ 
Then, substitute the given values we have;
Combine like terms, we have;
Divide both sides by 5 we have;
x = 41
Therefore, number of tickets did they give away to employees have 41 tickets
