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.
Answer:
650
Step-by-step explanation:
lets say the # of standard version is x and the # of high-quality version is y
x+y=1060
2.5x+4.8y=3593
solve the system
y=410
x=650
8.25 tons or 8 1/4
just multiply the two numbers together
The amount given to charity from Kendall’s profit is $168.0146
Given:
- Kendall’s profit = $1292.42
- Percentage given to charity = 13%
<h3>How to find percentage</h3>
Amount given to charity = Percentage given to charity × Kendall’s profit
= 13% of $1292.42
= 13/100 × 1292.42
= 0.13 × 1292.42
= $168.0146
Therefore, the amount given to charity from Kendall’s profit is $168.0146
Learn more about percentage:
brainly.com/question/843074
Answer:
4/4 as a decimal is 1.00 because 4/4 is one whole
Step-by-step explanation: