Answer:
x=0 y=0.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let the 3 numbers be 4x , 5x and 6x
4x + 6x = 5x + 55
10x = 5x + 55 Subtract 5x from both sides.
<u> 5x 5x</u>
5x = 55 Divide by 5
x = 55/5
x = 11
Therefore the numbers are
3*11 = 33
4*11 = 44
5*11 = 55
Answer:
so the answer will be 1
Step-by-step explanation:
An oil tanker can be emptied by the main pump in 5 hours.
An auxilary pump can empty the tanker in 14 hours.
If the main pump is started at 7pm, when should the auxilary pump be started
so that the tanker is emptied by 11pm?
:
Let t = no. of hrs to run the Aux pump
:
The main pump will run 4 hr (7 - 11 pm)
:
Let the completed job = 1; (an empty Tanker)
:
The shared work equation
4%2F5 + t%2F14 = 1
Multiply equation by 70 to get rid of the equation, results:
14(4) + 5t = 70
56 + 5t = 70
5t = 70 - 56
5t = 14
t = 14%2F5
t = 2.8 hrs to run the aux pump
:
2.8 hr = 2 + .8(60) = 2 hrs 48 min
:
Subtract 2:48 from 11:00 = 8:12 PM start the aux pump
;
;
Check solution
4/5 + 2.8/14 =
.8 + .2 = 1
4 1/3
Okay, I know fractions are scary, but we can do this alright?
First, you see the whole number on the side? Get that first.
10- 5 = 5
now we have 5 left and a scary fraction. Don't panic, let's do this. We know 1 is 3/3. 1 can be anything as long as the number on top and the number at the bottom are the same then it would be one.
So 3/3 is one then we can subtract:
3/3 -2/3 .
We subtract the top number and leave the one at the bottom the same.
3-2 = 1
Then we have 1/3.
As you took one away from the 5, it becomes a 4 and you put back the left over, 1/3.
Then you answer will be :
4 1/3
