Answer:
.5 pounds
Step-by-step explanation:
3 divided by 6 is .5
The cube root of (n increased by 8), or ∛(n+8), is -0.5, or -1/2.
∛(n+8) = -1/2. To solve this for n, cube both sides, obtaining n+8 = -1/8.
Eliminate the fraction by mult. all three terms by 8: 8n + 64 = -1
Solving for n: 8n = -65, so that n = -65/8.
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.
The answer is $29.3 because you multiply 2.93 times the ten gallons of gas.
Answer:3/8
Step-by-step explanation:
5/8 of the staff are male. The entire staff is represented by the fraction 8/8. Taking 5/8 from this, what we have left is
8/8-5/8 = 3/8 of the staff are female.
