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3 years ago

Hari walked 2 miles in 1/2 hour. True or False: Hari walked 1 mile in 15 minutes. Can you please explain.

2 answers:

8 0

Well you can make a proportion to see if the values (2 miles in 1/2 hour and 1 mile in 15 minutes) are equal to each other or not.

**We need to convert 15 minutes into hours --> 15 minutes / 60 minutes = 1/4 hour $\frac{2 \text{ miles}}{ \frac{1}{2} \text{ hours} } = \frac{1 \text{ mile}}{ \frac{1}{4} \text {hour}}$

Cross-multiply...
1/2(1) = 2(1/4) *is this true? 
1/2 = 2/4 *if you simplify 2/4 by dividing the numerator and denominator by 2 you get 1/2
1/2 = 1/2 **this is correct!

So it is true!

4vir4ik [10]3 years ago

5 0

2 miles = 1/2 hour (a whole hour is 60 mins so half of that is 30 mins) 1 mile = 15 mins (15 mins is half of 30 mins) so yes its true

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3 years ago

5 customers buy 10,15,20,25,30 toffees respectively from 1 shop. But the the person who bought 20 toffees forgot to pay .if the

Mice21 [21]

Answer:

40% profit

Step by step Explanation:

Profit percentage

=( profit/cost price) * 100

0.2 = profit/cost

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3 years ago

At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 10 cubic feet per minute. The di

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Answer:

0.0063 ft / min

Step-by-step explanation:

From the problem statement we have that the variation in volume with respect to time is equal 10, like this:

dV / dt = 10 ft ^ 3 / min

We know that the volume of the cone is given by the equation:

V = (1/3) * Pi * r ^ 2 * h

Now, we are mentioned that the diameter of the base of the cone is approximately three times the altitude, therefore:

2r = 3h, solving for r we have:

r = (3/2) * h, replacing the volume equation:

V = (1/3) * Pi * [(3h / 2) ^ 2] * h, solving we have:

V = (3/4) * Pi * h ^ 3

They ask us to calculate the change in height with respect to time, that is dh / dt

Therefore we derive both sides with respect to time, we have to:

dV / dt = (3/4) * Pi [3 * (h ^ 2) dh / dt] = (9/4) * pi * (h ^ 2) * dh / dt

reorganizing for dh / dt, we have:

dh / dt = [4/9 * pi * (h ^ 2)] * dV / dt

Knowing that h is 15 and dV / dt is 10, we replace these values:

dh / dt = [4/9 * 3.14 * (15 ^ 2)] * 10 = 0.0063 ft / min

0.0063 ft / min would be the change in height with respect to time.

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3 years ago