The way I solved this problem was by subtracting 200-75 and getting 125. So he would need to mow 125 more lawns. To check your answer you can add 125+75 and get 200
I hope this helped :)
Step-by-step explanation:
Note that t = d/r where t is time, d is distance, and r is rate/speed.
We can come up with two equations with the information given and the equation:
t_1 hr = (10 km)/(x km/hr)
t_2 hr = (12 km)/(x - 1 km/hr)
<em>where t_1 is the time taken to run the 10km the first day and t_2 is the time taken to run the 12km the second day.</em>
We know that 30 minutes is 1/2 of an hour and that t_1 is 30 minutes less than t_2 (as stated in the question). Therefore, we can write:
t_1 = t_2 - 1/2
Substituting the values we derived:
(10 km)/(x km/hr) = (12 km)/(x - 1 km/hr) -1/2
Then we can evaluate by multiplying by 2x(x-1) on both sides:
20(x-1) = 24x - (x)(x-1)
20x - 20 = 24x - x^2 + x
x^2 -5x -20 = 0
And we are done.
I hope this helps! :)
Answer:
125
Step-by-step explanation:
Given
f(x) = 5x²
g(x) = 2x + 3
Now
g(-4) = 2 * (- 4) + 3
= - 8 + 3
= - 5
Also
f(g(-4)) = f( -5)
= 5 * ( -5)²
= 5 * 25
= 125
