Rate x time = distance
the distances are equal
x(30) = (x + 2)(20)
30x = 20x + 40
10x = 40
x = 4 mph
x + 2 = 6 mph
The distance is 2 miles
Use this formula:
K = K_0 * (1+r)^n
Insert and solve for n:
12600 = 6000 * (1+0.065)^n
n = 11.78
So about 12 quarters.
Hope that helped.
Answer:
Tim has 75 pencils and 25 pens
Step-by-step explanation:
To solve this create a system of equations. To do so, first create an equation for the total number of utensils that he has. Let x equal the number of pencils and y equal the number of pens.
x+ y = 100
Now make one for the comparison of the two and solve for the constant.
x = 3y
x - 3y = 0
Now to solve the system, multiply the second equation by -1 and add them together.
x + y = 100
-x + 3y = 100
-----------------
4y = 100
y = 25
Now that we have the number of pens, find the number of pencils using an equation.
x + y = 100
x + 25 = 100
x = 75
