15 mi/h= 15mi/60 min= 1/4 (mi/min)
x is original speed (mi/min)
t is original time
x*t =260
(x+1/4)=5x/4 is new speed
t-20 - new time
(x+1/4)(t-20)=260
xt = (x+1/4)(t-20)
xt=xt + t/4 - 20x - 5
t/4=20x+5
t=80x +20
We can substitute t=80x +20 into equation x*t =260
x*(80x+20)=260
80x²+20x-260=0
4x²+x-13=0
D=b² - 4ac = 1+4*4*13= 209
x=(-1+/-√209)/2*4
x=1.68 mi/min
1.68mi/min * 60 min/1h≈100 mi/h
Check
260/100=2.6h time with old speed
260/(115)=2.26 h time with new speed
2.6-2.26 = 0.34 h difference between old and new time
0.34h*60min/1h≈20 min difference between old and new time in minutes
The denominator. For example 3/17. 17 tells you the whole which is the denominator.
Answer:
he got 210 dollars in interest
Step-by-step explanation:
It is 190.2 because 117.77 minus -12.43 is 190.2
Answer:
46 gallons
Explanation:
First, we need to calculate the area of the path. This area can be calculated as the difference between the area of the outer circle and the area of the inner circle. The area of a circle is equal to

Where r is the radius. For the outer circle, the diameter is 28 yd, so the radius is equal to
radius = diameter/2
radius = 28 yd/2
radius = 14 yd
Then, the area of the outer circle is

In the same way, the radius of the inner circle is
radius = diameter/2
radius = 18 yd/2
radius = 9 yd
Then, the area is

So, the area of the path is
Area path = 615.44 yd² - 254.34 yd²
Area path = 361.1 yd²
Now, we know that one gallon can cover 8 yd², so we can calculate the number of gallons as

Therefore, the number of gallons is 46 because we need to round the result to a whole number.