Answer:
The answer is that adult tickets cost $44.50 and child tickets cost $19.
Step-by-step explanation:
Let c = the cost of child tickets and a = the cost of adult tickets.
The total amount is equal to the number of adult tickets time the cost of adult tickets plus the number of child tickets times the cost of child tickets. Set up two equations:
2a + 4c = 165
4a + 3c = 235
Solve the top equation for a:
2a + 4c = 165
2a = 165 - 4c
a = 165/2 - 4c/2
a = 82.5 - 2c
Substitute into the second equation:
4a + 3c = 235
4(82.5 - 2c) + 3c = 235
330 - 8c + 3c = 235
-5c = -95
c = -95 / -5 = 19, so child ticket cost $19.
Solve for a:
a = 82.50 - 2c
a = 82.50 - 2(19)
a = 82.50 - 38
a = $44.50, so adult tickets cost $44.50.
Proof using the first equation for the Johnson family:
2a + 4c = 165
2(44.50) + 4(19) = 165
89 + 76 = 165
165 = 165
Proof using the second equation for the Robison family:
4a + 3c = 235
4(44.50) + 3(19) = 235
178 + 57 = 235
235 = 235
Answer:
x ≈ 15.9
Step-by-step explanation:
a straight line is equal to 180 degrees
so we now know that 9x + 8 + 29 = 180
combine like terms 9x + 37 = 180
now subtract 37 from both sides 9x = 143
now divide both sides by the value of 9 x ≈ 15.9
Answer:
25
Step-by-step explanation:
165-140=25
140-115=25
115-90=25
90-65=25
65-40=25
A. g(x) = 3x^2 + 6
If you are stretching vertically, that is along the Y axis. The original +2 is the y-intercept, so you add 4 onto the equation where the y (vertical) will be placed.
Answer: 5/2
Explanation:
According to 30-60-90 triangle rule:
The side opposite of 30 degree is equal to half of the hypotenuse and the hypotenuse here is 5 so therefore x = 5/2
