Answer:
number of adults tickets sold = x = 90
number of teachers tickets = y = 45
number of students tickets = z = 145
Step-by-step explanation:
Cost of tickets
Adults = $6
Teachers = $4
Students = $2
Total tickets sold = 280
Total revenue = $1010
Let
x = number of adults tickets
y = number of teachers tickets
z = number of students tickets
x + y + z = 280
6x + 4y + 2z = 1010
If the number of adult tickets sold was twice the number of teacher tickets
x = 2y
Substitute x=2y into the equations
x + y + z = 280
6x + 4y + 2z = 1010
2y + y + z = 280
6(2y) + 4y + 2z = 1010
3y + z = 280
12y + 4y + 2z = 1010
3y + z = 280 (1)
16y + 2z = 1010 (2)
Multiply (1) by 2
6y + 2z = 560 (3)
16y + 2z = 1010
Subtract (3) from (2)
16y - 6y = 1010 - 560
10y = 450
Divide both sides by 10
y = 450/10
= 45
y = 45
Substitute y=45 into (1)
3y + z = 280
3(45) + z = 280
135 + z = 280
z = 280 - 135
= 145
z = 145
Substitute the values of y and z into
x + y + z = 280
x + 45 + 145 = 280
x + 190 = 280
x = 280 - 190
= 90
x = 90
Therefore,
number of adults tickets sold = x = 90
number of teachers tickets = y = 45
number of students tickets = z = 145
D . a pod of humpback whales ( sorry if it’s wrong )
Answer: x=40 y=140
Step-by-step explanation:
To work out x:
The angles in a triangle always add up to 180.
You already have one angle which is 50 the bottom left angle is a right angle and right angles always equal 90. To work out x, do 50+90=140 then do 180-140=40.
To work out y:
Angles on a straight also add up to 180.
So as you have figured out what x is (40) you would take it away from 180 to give you y.
180-40=140
Hope this helps :)
radians is equal to 120°.
Step-by-step explanation:
Step 1:
If an angle is represented in radians, it will be of the form 
radians.
If an angle is represented in degrees, it will be of the form x°.
To convert radians to degrees, we multiply the radian measure by 
For the conversion of radians to degrees,
the radians in degrees = (given value in radians)(
).
Step 2:
To convert ,
So radians is equal to 120°.
