Step-by-step explanation:
2(3(7)-1)
= 2(21-1)
=2(20)
=40
You know that she runs 4 miles every day, so we can set up the equation:

For any given day you just plug that number in for 'd' and it will give you the total number of miles.
First, you have to simplfy your equations, 2x+3y=3. Subtract 2x from both sides, get 3y=-2x+3. Divide each side by 3, get y=-2/3x+1.
Simplify your other equation, 2y=3x-4. Divide each side by 2, get y=3/2x-2.
Now you have your 2 equations, y=-2/3x+1, and y=3/2x-2. These lines are perpendicular if you make a graph and plot the lines.
Answer:
Step-by-step explanation:
Let d= number of desks and b= number of bookcases.
Since each day the number of hours available for cutting is 200, then the amount of desks produced by the cutting time of one desk plus the amount of bookcases produced by the cutting time of one bookcase must be 200. This means that
5d+1/4b=200
Now, since each day the number of hours available for assembling time is 500, then the amount of desks produced by the assembling time of one desk plus the amount of bookcases produced by the assembling time of one bookcase must be 500. This means that
10d+b=500
Then, solve this problem is equivalent to solve the following linear system
in the two unknowns d and b
He need fifteen more dollars to get all 6 tickets