30÷5=6
4×5=20
for every 30 green lights there are 20 white lights
Step-by-step explanation:
you know by using the x and y coordinates of the point in the equations and see, if both equations are still true.
if yes, it was a solution, and if just only one is false, then it was not a solution.
(3, -2) in
y + 4x = 10
5x - y = 13
so,
-2 + 4×3 = 10
-2 + 12 = 10
10 = 10 true
5×3 - (-2) = 13
15 + 2 = 13
17 = 13 false
so, it was NOT a solution.
Answer:
Step-by-step explanation:
![a_{1}=1\\d=-3-1=-4\\a_{n}=a_{1}+(n-1)d\\a_{n}=1+(n-1)(-4)\\a_{n}=1-4n+4\\a_{n}=5-4n](https://tex.z-dn.net/?f=a_%7B1%7D%3D1%5C%5Cd%3D-3-1%3D-4%5C%5Ca_%7Bn%7D%3Da_%7B1%7D%2B%28n-1%29d%5C%5Ca_%7Bn%7D%3D1%2B%28n-1%29%28-4%29%5C%5Ca_%7Bn%7D%3D1-4n%2B4%5C%5Ca_%7Bn%7D%3D5-4n)
Answer:
![\frac{11\pi}{30}](https://tex.z-dn.net/?f=%20%5Cfrac%7B11%5Cpi%7D%7B30%7D%20)
Step-by-step explanation:
The reference angle is an acute angle that angle in standard position makes with the positive x-axis.
The given angle in radians is
![\frac{11\pi}{30}](https://tex.z-dn.net/?f=%20%5Cfrac%7B11%5Cpi%7D%7B30%7D%20)
This angle is already acute and hence it is itself a reference angle.
The reference angle of any angle in the first quadrant is the same angle.
Answer:
28 times
Step-by-step explanation:
On a fair die, the probability of rolling a 6, the only number greater than 5, is 1/6. So in 168 rolls of this die, Malachy can expect a 6 on 1/6 × 168, or 28 times.