7 video games were in each case.
Step-by-step explanation:
-So, Ricardo has 2 cases of video games with the same amount of games per case.
-He gives 4 games to his brother and is left off with 10 games.
Add 10+4 to get the total amount of games.
Since there are 2 cases, divide the total amount of games (14) by the total amount of video game cases.
This gets us 7, which is the starting amount of video games in each case.
The sin ratio is the side opposite the reference angle over the hypotenuse. If Z is our reference angle, then the side opposite it has a length of 32. The hypotenuse has a length of 40. Therefore, the sin of Z = 32/40. We will reduce that to sin Z = 4/5. First choice above.
( 0, -4 ) is the vertex of the parabola
Answer:
Number of quarters → 15
Number of dimes → 2
Step-by-step explanation:
Let the number of dimes I have = y
And number of quarters = x
Since, I have amount in my pocket = $2
Therefore, 0.10y + 0.25x = 2
100(0.10y + 0.25x) = 100×2
25x + 10y = 200
5x + 2y = 40
2y = -5x + 40
y = -2.5x + 20 ---------(1)
Total number of coins in my pocket = 17
x + y = 17
y = -x + 17 ---------(2)
By using a graphing calculator we can graph these two lines (As attached)
Solution of the given system of equations will be the point of intersection of these lines.
Solution → (2, 15)
Number of quarters → 15
Number of dimes → 2