Answer:
Step-by-step explanation
Three-fifths of a number means 
and 21 less than that number means 
.
The speed is the distance covered by an object at a particular time. It will take Max 10.6 hours to catch up with Rachel.
<h3>What is speed?</h3>
The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.
Speed = Distance / Time
Given that Max leaves Las Vegas one hour after Rachel leaves. Also, the speed at which Rachel is travelling is 53 miles per hour. Therefore, the distance covered by Rachel in one hour is,
Distance covered by Rachel = 1 hour × 53 miles per hour = 53 miles
Now, the distance between Max and Rachel is 53 miles. Therefore, the time it will take Max to reach Rachel can be found as,
Time needed to catch up with Rachel = Distance / relative speed
Time = 53 miles / (58 mph - 53 mph)
= 53 miles / 5 mph
= 10.6 hours
Hence, it will take Max 10.6 hours to catch up with Rachel.
Learn more about Speed here:
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Answer:
I believe it is 3
Step-by-step explanation:
The electrical resistance of a wire varies as its length and inversely as the square of the diameter.
R = (k*L)/(d^2)
where k = proportionality constant
Since the two wires have the same material, their proportionality constant is same.
Equating that
(R1*d1^2)/L1 = (R2*d2^2)/L2
Given that R1 = 10 ohms, d1 = 1.2 mm or 0.0012 m, L1 = 18 m, d2 = 1.5 mm or 0.0015 m, L2 = 27 m, and R2 is unknown.
Therefore
[10*(0.0012^2)]/18 = [R2*(0.0015^2)]/27
R2 = 9.6 ohms
Answer:
116
Step-by-step explanation:
Pemdas so do the 10 × 12 first... you get 120 the you go left to right so 3 + 120 = 123... subtract 7 from that and you get 116.
