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tia_tia [17]
3 years ago
14

An oil company fills 1/12 of a tank in 1/3 hour. At this rate, which expression can be used to determine how long will it take f

or the tank to fill completely?
a. 1/12 x 3 hours
b. 1/3 x 12 hours
c. 1/3 x 1/12 hour
d. 3 x 12 hours
Mathematics
2 answers:
monitta3 years ago
5 0
Selection B is appropriate.

_____
It takes 12 times as long to fill the whole tank as it does to fill 1/12 of the tank.
.. 12 * (1/3 hour) = (1/3)*12 hour
ale4655 [162]3 years ago
5 0

Answer: b . \dfrac{1}{3}\times12 hours

Step-by-step explanation:

Given : A oil company fills \dfrac{1}{12} of a tank in \dfrac{1}{3} hour.

i.e. Time taken to fill \dfrac{1}{12} of a tank=  \dfrac{1}{3} hour.

By using the Unitary method, we multiply 12 on bith the sides of the above expression we get

Time taken to fill \dfrac{1}{12}\times12  tank=  \dfrac{1}{3}\times12 hour.

⇒ Time taken to fill 1 tank=  \dfrac{1}{3}\times12=4 hour.

Hence, it will take \dfrac{1}{3}\times12 hours or 4 hours for the tank to fill completely.

Thus , the correct answer is b . \dfrac{1}{3}\times12 hours

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Answer:

The equation for the distance Jane's trainer bikes is x=\sqrt{16^2+12^2}.

Step-by-step explanation:

We have attached diagram for your reference.

Given:

Distance traveled on bike towards south = 16 miles

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We need to find distance Jane's trainer bikes.

Solution:

Let the distance Jane's trainer bike be 'x'.

Now we will assume it to be right angled triangle.

So by Pythagoras theorem which states that;

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framing in equation form we get;

x^2=16^2+12^2\\\\x=\sqrt{16^2+12^2}

Hence the equation for the distance Jane's trainer bikes is x=\sqrt{16^2+12^2}.

On solving we get;

x=\sqrt{16^2+12^2}\\\\x= \sqrt{256+144}\\ \\x=\sqrt{400} \\\\x=20\ miles

Hence Jane's trainer bikes a distance of 20 miles.

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