Well it would be 63$ if we are not including tax because 80-17=63
The key is Esther travelled the same distance - x - in both her morning and evening commute.
45(time she took in the morning, or p) = x
30(time she took in the evening, or q) = x
Therefore 45(p) = 30(q), or divide both sides by 5 and get 9(p) = 6(q). I know you can divide it further, but these numbers are small enough and it's not worth the time.
Since the whole trip took an hour, (p + q) = 60min, and so, p = 60-q.
Therefore 9(60-q) = 6q or 540-9q = 6q. So 540 = 15q, which makes q = 36. If q = 36, then by (p+q)=60, p (the time she took in the morning) must equal 24.
45 miles per hour, her speed in the morning, times (24/60) hours, her time, makes 18 miles travelled in the morning. If you check, 30 miles per hour times (36/60) hours also makes 18 miles in the evening.
<span>Hope that makes a little sense. And I also hope it's right</span>
Replace x in the equations and see which one gets the matching y :
-5(0) = 0 +1 = 1
-5(1) = -5 + 1 = -4
-5(-1) = 5 +6 = 6
The first equation works.
Answer:
4.1 sec
Step-by-step explanation:
h(t)=-3.2t^2+12.8t+1
h(t)=-3.2(t^2-4t)+1
h(t)=-3.2(t^2-4t+4-4)+1
h(t)=13.8-3.2(t-2)^2
For the ball to touch ground, h(t)=0.
13.8-3.2(t-2)^2=0
(t-2)=2.0766
t=4.07≈4.1 sec.
