Answer:
It takes 1 minute 12 seconds to fill the bucket if both taps are turned on.
Step-by-step explanation:
- One tap fills the bucket in 2 minutes, thus fills 1/2 of the bucket in one minute.
- Other tap fills the bucket in 3 minutes, thus fills 1/3 of the bucket in one minute.
- Both together fill 1/2+1/3=5/6 of the bucket in one minute.
- If they can fill 5/6 of the bucket in 1 minute, they fill 1/6 of the bucket in 1/5 minute.
- They can fill the bucket (6/6) in 1+1/5 minute
- This is 1 minute 12 seconds
Answer:
Angle Z is 33.
Step-by-step explanation:
Angle Z is also 33. X and Z are equivalent angle therefore it has to be 33 as well.
Think of numbers that when they are divided by 10, the remainder is 9.
So numbers like: 19, 29, 39, 49, 59, 69, 79, 89, and 99.
Now numbers that when they are divided by 9, the remainder is 8.
So numbers like: 17, 26, 35, 44, 53, 62, 71, 80, 89, and 98.
Now the number that is alike from the two sets of numbers is n.
n=89
Double check your work.
Divide 89 by 10. Remainder of 9
Divide 89 by 9. Remainder of 8.
Hope this helps :)
Answer:
2t blocks
Step-by-step explanation:
We measure these distances from Jim's house.
The school is t blocks from Jim's house. Twice that is 2t blocks. Thus, the library is 2t blocks from Jim's house.
Answer:
60 seconds.
Step-by-step explanation:
We have been given that Maria train can go around the track in 10 seconds. Alma train can go around the track in 12 seconds.
To find the number of seconds after which both trains will cross the finish line together the first time we will find LCM of 10 and 12. LCM will give us the smallest positive integer that is divisible by both 10 and 12.
Multiples of 10 are: 10, 20, 30, 40, 50, 60, 70,...
Multiples of 12 are: 12, 24, 36, 48, 60, 72, 84,..
We can see that least common multiple of 10 and 12 is 60, therefore, it will take 60 seconds for both trains to cross the finish line together the first time.
