Answer:
Given:
I usually walk from home to work. This morning, I walked for 10 minutes until I was halfway to work.
I then realized that I would be late if I kept walking.
I ran the rest of the way. I run twice as fast as I walk.
Find:
The number of minutes in total did it take me to get from home to work
Step-by-step explanation:
Had I kept walking, the second half of my trip would have taken 10 more minutes.
By doubling my speed for the second half of my trip,
I halved the amount of time it took me to finish.
So, the second half of my trip took 5 minutes, for a total trip time of 10+5 = 15 minutes.
The number of minutes in total did it take me to get from home to work is 15 minutes.
Answer:
The speed of the cyclist is 10 miles per hour .
Step-by-step explanation:
Given as :
The distance cover by cyclist = 
= 20 miles
The distance cover by biker = 
= 6 miles
The speed of biker = 
= s mph
The speed of cyclist = 
= 7 + s mph
The time taken by both cyclist and biker = t hour
Now. Distance = Speed × Time
So, = × t
Or, 20 = s × t
Or, t = 
.....1
And ,
= × t
or, 6 = s t
Or, t = 
....2
From Eq 1 and 2
I.e =
Or, 20 s = 6 ( 7 + s )
Or, 20 s - 6 s = 42
Or, 14 s = 42
∴ s = 
I,e s = 3 miles per hour
So, The speed of biker = = s = 3 miles per hour
And The speed of cyclist = = 7 + s = 7 + 3= 10 miles per hour
Hence The speed of the cyclist is 10 miles per hour . Answer
Answer:
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
4u + 8v = -3u + 2v
Solving 4u + 8v = -3u + 2v
Solving for variable 'u'.
Move all terms containing u to the left, all other terms to the right.
Add '3u' to each side of the equation. 4u + 3u + 8v = -3u + 3u + 2v
Combine like terms: 4u + 3u = 7u 7u + 8v = -3u + 3u + 2v
Combine like terms: -3u + 3u = 0 7u + 8v = 0 + 2v 7u + 8v = 2v
Add '-8v' to each side of the equation. 7u + 8v + -8v = 2v + -8v
Combine like terms: 8v + -8v = 0 7u + 0 = 2v + -8v 7u = 2v + -8v
Combine like terms: 2v + -8v = -6v 7u = -6v
Divide each side by '7'. u = -0.8571428571v
Simplifying u = -0.8571428571v
The answer is 1/5, or 0.2, because if you're always putting the slip back in, then there will always by 5 slips to choose from, therefore making the probability 1 out of 5. I hope this helps!
