Answer:
r = 19
Step-by-step explanation:
( r-5) /2 = ( r+2) /3
The least common denominator is 6
3/3 *( r-5) /2 = ( r+2) /3 * 2/2
3( r-5) /6 = 2( r+2) /6
Since the denominators are the same, the numerators are the same
3( r-5) = 2(r+2)
Distribute
3r -15 = 2r+4
Subtract 2r from each side
3r-2r -15 = 2r+4-2r
r-15 =4
Add 15 to each side
r-15+15 = 4+15
r = 19
D the slopes are negative reciprocals
Answer:

So then the best option would be:
a. 1/25
Step-by-step explanation:
For this case we assume that the sample space for the numbers is :
![S_1= [A,B,C,D,E]](https://tex.z-dn.net/?f=%20S_1%3D%20%5BA%2CB%2CC%2CD%2CE%5D)
And the sample space for the numbers is:
![S_2 =[1,2,3,4,5]](https://tex.z-dn.net/?f=%20S_2%20%3D%5B1%2C2%2C3%2C4%2C5%5D)
Both sampling spaces with a size of 5.
We define the following events:
A="We select a 2 from the numbers"
B= "We select a E from the letters"
We can find the individual probabilities for each event like this:


And assuming independence we can find the probability required like this:

The last probability is the probability of obtain obtain a 2 AND an E
So then the best option would be:
a. 1/25
Hey there
SO we know that the total amount that she brought is 24 cookies.
we also know that 2/3 of the cookies are choco chip.
So to find the answer we need to divide 24/3 which gives us 8 so one third of 24 is eight if we multiply 8 by two we get 16 which is 2/3 of 24.