<span>lets solve for x, and then we'll find an integer solution:
3x + 4y = 24
3x = 24 - 4y
</span><span>x = (24 - 4y)/3
</span>so the right side has to be an integer, or 24 - 4y has to be a multiple of 3:
<span>24 - 4y
</span>then, y has to be 3, see:
<span>x = (24 - 4y)/3
</span><span>x = (24 - 4(3))/3
</span><span>x = (24 - 12)/3
</span><span>x = (12)/3
</span>x = 4
then, we have x = 4 and y = 3
You have to watch 30 movies to earn a free movie pass.
Step-by-step explanation:
Given,
Points earned for each movie = 2 points
Current points = 40 points
Free movie pass = 100 points
Let,
x be the number of movies you have to watch.
2*number of movies + current points = 100

Subtracting 40 from both sides

Dividing both sides by 2

You have to watch 30 movies to earn a free movie pass.
Keywords: linear equation, division
Learn more about division at:
#LearnwithBrainly
Answer:

Step-by-step explanation:

Answer:


Step-by-step explanation:
Calculate the value of trigonometry function.
and 
Split the angle between 0 to 90° using trigonometry formula.



Therefore, cos(480°) = -0.5



Therefore, sin(480°) = 0.866