Answer:
6/5 hours
Step-by-step explanation:
<u>GIVEN :-</u>
Lets say ,
- Pump A takes 2 hours to fill the tank alone
- Pump B takes 3 hours to fill the tank alone
<u>TO FIND :-</u>
- Time taken by both pumps to fill the tank when used together
<u>PROCEDURE :-</u>
In 2 hours , Pump A fills the whole tank.
⇒ In 1 hour , Pump A will fill 1/2 part of tank. (By using Unitary method)
In 3 hours , Pump B fills the whole tank.
⇒ In 1 hour , Pump B will fill 1/3 part of tank. (By using Unitary method)
In 1 hour , when both pumps will be used together , they will fill =
(Part of tank filled by A in 1hr) + (Part of tank filled by B in 1hr)
⇒
part of tank
5/6 part of tank will be filled by both the pumps in = 1 hour.
Using unitary method, multiplying both the sides with 6/5 -
⇒ 5/6 × 6/5 part of tank will be filled by both the pumps in = 1 × 6/5 hours
⇒ Total tank (or 1 whole tank) will be filled by both the pumps in = 6/5 hours
∴ Both the pumps will take 6/5 hour to fill the tank , when used together.
Answer:
Bottle number 24 will be the first to get a <u>green label</u> and a <u>pink cap</u>.
Step-by-step explanation:
See,
We get green label at every 8th bottle
And a pink cap at every 6th bottle.
So if we need a bottle with green label and pink cap then that bottle number should the common number that is divisible by both 8 and 6.
Since 24 is the very first number which can be divided by both 8 and 6.
Hence bottle number 24 will be the first to get a green label and a pink cap.
Answer:
3.864
Step-by-step explanation:
convert 8% to decimal, you get .08
multiply that by 4.2 and you get 0.336, which means that 0.336 is 8% of 4.2
subtract 0.336 from 4.2
3.864
Answer:
K = 50
L = 90
KML = 40
LMN = 140
Step-by-step explanation:
The sum of the angles in a triangle will always be 180 degrees, and in the triangle pictured, we know the value of each angle. We can say that
5x + 4x + 9x = 180
18x = 180
x = 10
Now that we know the value of x, we can figure out the value of the angles.
K = 5x = 50
L = 9x = 90
KML = 4x = 40
A straight line is 180 degrees, so to find angle KMN, you have to subtract KML (4x) from 180
180 - 4x = 180 - 40 = 140
Answer:
Triangle Proportionality Theorem.
Step-by-step explanation:
See the attached diagram.
Two lines EG and FH are parallel and hence, EG will divide the sides DF and DH in the same ratio as per Triangle Proportionality Theorem.
So, we can write
⇒
⇒ x = 3.14 cm. (Answer)