The system of equations would be:
64x+132y = 1040
x = 2y
We multiply the number of adult tickets, 64, by the cost of the adult tickets, x. We multiply the number of student tickets, 132, by the cost of the student tickets, y. Together these add up to $1040.
We know that the cost of an adult ticket is twice as much as a student ticket, so x = 2y.
Y-99=-1/33(x-22)
a). y = 1/33x + 98 1/3
b) 33y = x + 109 1/3
x - 33y = -109 1/3
Answer: 30 students liked both.
step-by-step explanation: If there are 65 students and 10 liked math but not english you subtract 10 from 65, you get 55. You continue to the next one, 55-20= 35, now there are 35 students but 5 of those students don't like either, so 35-5=30, meaning there are 30 students that like both english and math. I hope this helps.
Answer:
1) -5 and +5; 2) -9 and +9
Step-by-step explanation:
1) a² + 2ab + b² = 25
(a + b)² = 25 Wrote the left-hand side as a square
a + b = ±5 Took the square root of each side
All values of a + b are -5 and +5.
2) a² − 8ab + 16b² = 81
(a - 4b)² = 81 Wrote the left-hand side as a square
a - 4b = ±9 Took the square root of each side
All values of a - 4b are -9 and +9.
