Answer:
5/51 or 9.8
Step-by-step explanation:
Since she does not put the marble back it's dependent.
1/3 chances the first marble is red and 5/17 the second is too.
Multiply and you get 5/51 odds, or approximately 9.8% chance
Answer:
![\fbox{\begin{minipage}{16em}Option D: y = (4/7)x + 8 is correct\end{minipage}}](https://tex.z-dn.net/?f=%5Cfbox%7B%5Cbegin%7Bminipage%7D%7B16em%7DOption%20D%3A%20y%20%3D%20%284%2F7%29x%20%2B%208%20is%20correct%5Cend%7Bminipage%7D%7D)
Step-by-step explanation:
(1) A typical form of equation of a line is:
![y = Mx + b](https://tex.z-dn.net/?f=y%20%3D%20Mx%20%2B%20b)
with,
is slope and
is y-intercept.
(2) Another straight line has equation in form of:
![y = Nx + c](https://tex.z-dn.net/?f=y%20%3D%20Nx%20%2B%20c)
with
is slope and
is y-intercept
(3) If these two lines are perpendicular, according to the property of two perpendicular lines on the two-dimensional plane, we have:
x
= -1
(4) Transform the given equation of original line into typical form:
![7x + 4y = -24\\](https://tex.z-dn.net/?f=7x%20%2B%204y%20%3D%20-24%5C%5C)
<=> ![4y = -7x - 24](https://tex.z-dn.net/?f=4y%20%3D%20-7x%20-%2024)
<=> ![y = (\frac{-7}{4})x - \frac{24}{4}](https://tex.z-dn.net/?f=y%20%3D%20%28%5Cfrac%7B-7%7D%7B4%7D%29x%20%20-%20%5Cfrac%7B24%7D%7B4%7D)
<=> ![y = (\frac{-7}{4})x - 6](https://tex.z-dn.net/?f=y%20%3D%20%28%5Cfrac%7B-7%7D%7B4%7D%29x%20-%206)
=> ![M = \frac{-7}{4}](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7B-7%7D%7B4%7D)
=> ![N = \frac{-1}{M} = \frac{-1}{\frac{-7}{4} } = \frac{-4}{-7} = \frac{4}{7}](https://tex.z-dn.net/?f=N%20%3D%20%5Cfrac%7B-1%7D%7BM%7D%20%20%3D%20%5Cfrac%7B-1%7D%7B%5Cfrac%7B-7%7D%7B4%7D%20%7D%20%3D%20%5Cfrac%7B-4%7D%7B-7%7D%20%3D%20%5Cfrac%7B4%7D%7B7%7D)
=> Option D:
is correct (Slope =
)
Hope this helps!
:)
Answer:
-6 and 2
Step-by-step explanation:
look left and right on number line. count 4 places over going both ways
Answer:
1 console and 8 games because
Step-by-step explanation:
one console cost 280 and each game costs 25 so do 500-280=220 so, u have 220 dollars left basically. 220/25=8.8 so 8 games u can buy and the tax will be $20 because 0.8 * 25 = 20 so theres ur tax and u have to answer my question