Answer:
Step-by-step explanation:
The probability can be defined as the ratio between the possible events and the total number of outcomes.
In this case, according to the image attached, the total number of outcomes is 11, because they are 11 marbles in total.
Now, the specific event is all shaded marbles or labeled with a multiple of 3. With this specific characteristics 6 marbles, because there are 5 shaded marbles and 6 is a multiple of 3. So, the possible events are 6.
Therefore, the probability is
The right answer is the last choice.
Answer:
y= - 5/2x - 2
Step-by-step explanation:
Y=2/5x + 2
Making it perpendicular, the slope will change to it's reciprocal and swap operations (+ becomes -). 2/5 will be -5/2. We already know the y-intercept which is -2, so simply put, the equation in slope-intercept form is y = -5/2x - 2
Step-by-step explanation:
To find a solution to this inequality, we need to get 
to one side of the equation by itself. Since we have 
on the left-hand side of the equation, we can get
Answer:
The solution is 
Step-by-step explanation:
To solve the differential equation, we will find 
From the given equation, y' + 5xey = 0.
That is, 
This can be written as
Then,
Then, we integrate both sides
Then,
Then,
Then,
Hence,
Answer:
The price of the burrito is $3.5 and the price of the taco is $2.5.
Step-by-step explanation:
2x+5y=19.5
5x+2y=22.5
------------------
5(2x+5y)=5(19.5)
-2(5x+2y)=-2(22.5)
-----------------------------
10x+25y=97.5
-10x-4y=-45
-----------------------
21y=52.5
y=52.5/21=2.5
2x+5(2.5)=19.5
2x+12.5=19.5
2x=19.5-12.5
2x=7
x=7/2=3.5
x=3.5, y=2.5
The price of the burrito is $3.5 and the price of the taco is $2.5.
