Given: Point K is between Points J and L. KL=9x+2, KJ=5x–8 and JL = 12x. Find KL.
1 answer:
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Answer: The answer is 35 minutes.
Step-by-step explanation: Given that Gavin goes for a run at a constant pace of 9 minutes per mile and after 10 minutes, Lars started running along the same route, at a constant pace of 7 minutes per mile. We need to find the number of minutes Lars will take to reach Gavin.
In 9 minutes, distance run by Gavin = 1 mile.
So, in 1 minute, distance travelled by Gavin will be
Similarly,
In 7 minutes, distance run by Lars = 1 mile.
So, in 1 minute, distance travelled by Lars will be
Now, since Lars started after 10 minutes, so distance run by Gavin in those 10 minutes will be
Now, difference between Lars and Gavin's rate of runnings is
Therefore, the time taken by Lars to reach Gavin is given by
Thus, the required time is 365 minutes.
Answer:
- 110110 in base 2 when converted in base 10 will be equal to 54
- 25 in base 10 is equal to 1001 base 2
Step-by-step explanation:
Part 1: 110110two to base ten
For conversion from base 2 to base 10 we multiply each digits of given number with powers of 2
So
So 110110two when converted in base 10 will be equal to 54
Part 2: 25ten to base two
For conversion from base 10 to base 2 we will divide the given number with 2 repeatedly and store the remainders until the quotient comes 1. The solution is as follows:
25/2 = 12 remainder 1
12/2 = 6 remainder 0
6/2 = 3 remainder 0
3/2 = 1 remainder 1
Now the remainders will be written in inverse order as:
=1001 base 2
So 25 in base 10 is equal to 1001 base 2
I hope it will help you!