OK. So they sold 200 raffle tickets, and Jennie bought 5 of them.
What has to happen now in order for Jennie to win both prizes ?
-- First drawing. Jennie wins.
Probability = (5 tickets) / (200 possible draws) = 5/200
Now there are 199 tickets left in the barrel, and Jennie has 4 .
-- Second drawing. Jennie wins.
Probability = (4 tickets) / (199 possible draws) = 4/199 .
The probability of it happening just this way is
(5/200) x (4/199)
= (5 x 4) / (200 x 199)
= 20 / 39,800
= 2 / 3,980 = 1 / 1,990
= 0.0005025... = 0.05 % (rounded)
Answer:
The solution to the system of equations is y = -5 and x = -2.
Step-by-step explanation:
The question tells us to use substitution to solve the system. This means that the given value for x (in terms of y) should be substituted into the other equation. This is modeled below:
-4y - 5x = 30
-4y - 5(y+3) = 30
Next, we should use the distributive property to simplify the left side of the equation.
-4y -5y - 15 = 30
The next step is to combine like terms on the left side of the equation.
-9y - 15 = 30
Then, we can add 15 to both sides of the equation.
-9y = 45
Finally, we can divide both sides of the equation by -9.
y = -5
To find the value for x, we substitute in the value we just found for y into either of our original equations.
x = y + 3
x = -5 + 3
x = -2
Therefore, the correct answer is y = -5 and x = -2.
Hope this helps!
Answer:
7 - 2x
Step-by-step explanation:
We start with
-2x + 7
And we can separate the terms
(-2x) (+7)
and move them around
(+7) (-2x)
7 - 2x is an equivalent expression.
Answer:
A
Step-by-step explanation:
A