"Jake can mulch a garden in 30 minutes." So, for 1 min Jake can mulch 1/30 part of a garden.
Ross can mulch the park for x minutes. So, for 1 min Jake can mulch 1/x part of a garden.
If they work together, for 1 min they will mulch (1/30 + 1/x) part of the garden.
At the same time, we know, that of they work together they can mulch the garden in 16 min, so for 1 min they will mulch 1/16 part of the garden.
Now, we can write an equation

x≈34.3 (min)
Answer:
Anya rode at 8.5 miles per hour.
Step-by-step explanation:
We have been given that Taylor and Anya live 63 miles apart. One day they left their houses at 8 am and met at 11 am riding toward each other. Taylor rode at 12.5 miles per hour.
We can see that Taylor and Anya met after 3 hours as 11-8=3. This means that both rode their cycles for 3 hours.
Let us find distance covered by Taylor.



Therefore, Taylor covered 37.5 miles in 3 hours.
Let us find distance covered by Anya in 3 hours by subtracting distance covered by Taylor from total distance of 63 miles.


Now let us find speed at which Anya rode bike.


Therefore, Anya rode the bike at the speed of 8.5 miles per hour.
Answer:
No solution
Step-by-step explanation:
This is just a simple system of equations.
y=-1/4x+2
8y+2x=-40
Get the same variables onto their corresponding sides, so it will look like this:
y=-1/4x+2
8y=-2x-40
Now here, you have to be careful, because to solve for the system of equations, you need to make sure you are multiplying the equation proportionately.
8y=-2x+16
8y=-2x+40.
But here you see that they share the same variables in a similar format, but their values are supposed to be different, meaning that this equation is a false claim. So you would respond to the question as "no solution.
It is the first one because fist you reflect it to the right across the y axis, then you reflect it down across the x axis, and last but not least, you reflect it left across the y axis where it is now
hope this is helpful! :)
Answer:
(9, 6)
Step-by-step explanation:
To find the midpoint of the endpoints, you need to find the average of the coordinates.
5+13=18/2=9
1+11=12/2=6
So, the midpoint is (9,6)