Answer:

Step-by-step explanation:
We are given the equation:

First, we can divide everything by 2:

Notice that we have an equation in quadratic form. Namely, if we make a substitution where u = sin(x), we acquire:

Solve for u. Factor:

Zero Product Property:

Solving for both cases:

And by substitution:

For the first case, recall that sin(x) is -1/2 for every 7π/6 and every 11π/6. Hence, for the first case, our solutions are:

Where n is an integer.
For the second case, sin(x) is -1 for every 3π/2. Thus:

All together, our solutions are:

Answer:
20
Step-by-step explanation:
5 divided by 1/4
5 x 4
Last one because it has an odd number of negative signs
Marbles in a bag: 3 green, 4 yellow, 5 blue, 8 pink.
Event A - get a green or yellow marble
Event B - get a pink marble
Events A and B are independent because we draw a marble from a bag with 20 marbles in both cases.

Probability of combined events is
The answer is J
The rides she wants to ride cost 4+6+3 tickets so that goes on one side. She already has 7 tickets so you need to know 7 plus what will get her on those rides so those go on the other side. So you have:
7+t=4+6+3
Then you solve for t
7+t=13
t=13-7=6
Hope that helps.