First, let's make an equation as to how to find how much money they have altogether:
(M stands for the # of month)
Jaclyn: 120 + 40m
Pedro: 180 + 20m
So let's plug-in 1 for m (1 will stand for 1 month)
Jaclyn: 120 + 40 * 1 = 160
Pedro: 180 + 20 * 1 = 200
I made a table depicting how much they'll make for the next 5 months (attached below). According to that, on month 3, they will have made the same amount of money (or $240).
So they will have the same amount of money in 3 months. Hope this helps! :)
4(d-8)-5 = 9(d+2)+1
Assuming you're looking for d:
Use Distributive Property for both sides
4d-32-5 = 9d+18+1
Combine like terms
4d-37 = 9d+19
Take all d's to one side & numbers to other
-37-19 = 9d-4d
Simplify
-56 = 5d
Divide both sides by 5
d = -56/5
Answer:
Option A. These two lines are perpendicular
Step-by-step explanation:
we know that
If two lines are parallel, then their slopes are equal
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
step 1
Convert the given equation A in slope intercept form

where
m is the slope
b is the y-intercept
we have
----> equation A
Solve for y
That means----> isolate the variable y
Divide by 3 both sides

so

step 2
Convert the given equation B in slope intercept form

where
m is the slope
b is the y-intercept
we have
----> equation B
Solve for y
That means----> isolate the variable y
subtract 3x both sides
Divide by 2 both sides

so

step 3
Compare the slopes


The slopes are opposite reciprocal (the product is equal to -1)
therefore
These two lines are perpendicular
What is your question I will answer it if I can