Answer: 84 tickets
Step-by-step explanation:
We are told the ratio of the number of tickets Mark collected to the number of tickets Julia collected is 4:3
(1)
In addition, we are told Julia collected 36 tickets:
(2)
Substituting (2) in (1):
(3)
Isolating 
:
(4)
Adding Mark's tickets to Julia's:
Therefore, both collected 84 tickets.
Let's convert the word descriptions into mathematical equations first for illustration.
f(x) = x^2 - x - 12
g(x) = -2.5x - 2
Then, we equate g(x) and f(x). The final equation becomes
x^2 - x - 12 = -2.5x - 2
Then, we simplify by transposing and combining like terms.
x^2 - x + 2.5x -12 + 2 = 0
x^2 + 1.5x - 10 = 0
Since this is a quadratic equation, we find the roots by using the quadratic formula
where a = 1, b = 1.5 and c=-10
Thus, the answer is x = 2.5, -4.
1 is the 3rd option down
2 is the second option down
Answer:
2a) quotient
2b) product
3a) addends
3b) factors
4a) bolt, direction
4b)when you move to the left it is negative; when you move to the right it is positive
Step-by-step explanation:
