Answer:
The average speed of the car, in miles per hour, from 17:30 to 19:42, is 119.167 meters per second.
Step-by-step explanation:
Physically speaking, average speed (
), measured in miles per hour, is the distance travelled (
), measured in miles, divided by time (
), measured in hours. That is:
(1)
The time needed by the vehicle is:
If we know that 
and , then the average velocity of the car is:
The average speed of the car, in miles per hour, from 17:30 to 19:42, is 119.167 meters per second.
Answer:
d. 20
Step-by-step explanation:
The given question implies 5 permutation 2, i.e 
.
But,
= 
So that for , n = 5 and r = 2.
= 
= 
= 
Cancel out 3 and 2 with respect to the numerator and denominator.
= 5 * 4
= 20
Therefore,
= 20
So that the correct option is D.
Answer:
x=17/4
Step-by-step explanation:
(x-3)/(x+2)=1/5
cross product
1(x+2)=5(x-3)
x+2=5x-15
5x-x-15=2
4x-15=2
4x=2+15
4x=17
x=17/4
Question is: how many 84s will fit in 5376? Let's think about some easy multiples:
84 * 100 = 8400, so it's too big
84 * 10 = 840, so it might work
84 | 5376 | 10
-840
84 | 4536 | 10
-840
84 | 3696 | 10
-840
84 | 2856 | 10
-840
84 | 2016 | 10
-840
84 | 1176 | 10
-840
84 | 336
We can't fit any more 840 in 336, so we check how many 84s are in 336 and what's the remainder:
84 | 336 | 4
- 336
So there's no remainder. Now we add all the partial quotients to get the final result:
10 + 10 + 10 + 10 + 10 + 10 + 4 = <u>64
</u>It's correct, I checked it with calculator. I just hope you'll be able to read something from that, it's quite difficult to do partial dividing with no pencil and paper :)
