Answer:
x = 3
y = -1
Step-by-step explanation:
Finding X
Substitute y into the 1st equation
3x + 2(x-8) = 7
Simplify
3x + 2x-8 = 7
Combine like terms
5x - 8 = 7
Move the constant (-8) to the right
5x = 7+ 8
Simplify
5x = 15
Divide both sides by 5
x = 3
Finding Y
Now since you know x is 3 substitute that into the 2nd equation
y = 3 - 4
y = -1
Total possible outcome = 36
Outcome with sums is 5 = 4
{1, 4} (2, 3} {3, 2} {4, 1}
P(getting sum = 5) = 4/36 = 1/9
Answer: 1/9
Equation #1:
Equation #2:
-4 is smaller than 13, so the solution to equation #1 is smaller than the solution to equation #2.
The answer is a.
<h3>
Answer: Choice B</h3>
Explanation:
You divide the opposite side over the hypotenuse to compute the sine ratio of the angle. If angle Y is the reference angle, then side XZ = 7.4 is the opposite side and YZ = 10.9 is the hypotenuse (always opposite the 90 degree angle).
Therefore,
sin(Y) = opposite/hypotenuse
sin(Y) = 7.4/10.9
sin(Y) = 0.678899
sin(Y) = 0.68