9514 1404 393
Answer:
a) average rate = (total distance)/(total time)
b) Rave = 2·R1·R2/(R1 +R2)
c) cheetah's average rate ≈ 50.91 mph
Step-by-step explanation:
a) Let AB represent the distance from A to B. Let t1 and t2 represent the travel times (in hours) on leg1 and leg2 of the trip, respectively. Then the distances traveled are...
First leg distance: AB = 70·t1 ⇒ t1 = AB/70
Second leg distance: AB = 40·t2 ⇒ t2 = AB/40
The average rate is the ratio of total distance to total time:
average rate = (AB +AB)/(t1 +t2)
average rate = 2AB/(AB/70 +AB/40) = 2/(1/70 +1/40) = 2(40)(70)/(70+40)
average rate = 560/11 = 50 10/11 . . . mph
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No equations are given, so we cannot compare what we wrote with the given equations. In each step of the solution, we have used the rules of algebra and equality.
b) For two rates over the same distance (as above), the average is their harmonic mean:
average rate = 2r1·r2/(r1+r2)
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c) The cheetah's average rate was 50 10/11 mph ≈ 50.91 mph.
X = 5
AE and congruent to EC
Answer:
58 units
Step-by-step explanation:
Simple: 3 shelves times 40 games = 120 games, 120-85= 35. So the answer is 35 games.
Answer:
Option A. 14.13 cu. in
The volume of the water balloon is 14.13 in³
Step-by-step explanation:
First we calculate the radius
r = 3in / 2
To calculate the volume of a sphere we have to use the following formula:
V = volume
r = radius = 1.5in
π = 3.14
V = ⁴⁄₃πr³
we replace with the known values
V = ⁴⁄₃ * 3.14 * (1.5in)³
V = 4.187 * 3.375 in³
V = 14.13 in³
The volume of the water balloon is 14.13 in³
