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Sergeu [11.5K]
3 years ago
6

Becky runs 3 miles in 24 minutes. At the same rate, how many miles would she run in 60 minutes?

Mathematics
2 answers:
Scrat [10]3 years ago
7 0

Answer:

7.5 miles

Step-by-step explanation:

Speed = Distance / Time

Speed = \frac{3}{24} = \frac{1}{8} miles per minute

\frac{1}{8} * 60 = 7.5 miles

jeka943 years ago
7 0

Answer:

7.5 miles

Step-by-step explanation:

In order to answer this question we need to find how many minutes it takes Becky to run one mile.

To do this we need to divide the 24 minutes by the 3miles.

24/3 = 8

Therefore, it takes Becky 8 minutes per mile.

Next, to find how many miles she runs in an hour we need to divide 60 by 8.

60/8 = 7.5

Becky will run 7.5 miles per hour.

<em>I hope this helps!</em>

<em>- Kay :)</em>

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Answer:

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Step-by-step explanation:

The composite figure consists of a square prism and a trapezoidal prism. By adding the volume of each, we obtain the volume of the composite figure.

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The volume of a trapezoidal prism is given by V=\frac{b_1+b_2}{2}\cdot l\cdot h, where b_1 and b_2 are bases of the trapezoid, l is the length of the height of the trapezoid and h is the height. This may look very confusing, but to break it down, we're finding the area of the trapezoid (base) and multiplying it by the height. The area of a trapezoid is given by the average of the bases (\frac{b_1+b_2}{2}) multiplied by the trapezoid's height (l).

Substituting given values, we get:

V=\frac{14+24}{2}\cdot (30-14)\cdot 30,\\V=19\cdot 16\cdot 30=9,120\:\mathrm{mm^3}}

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Alternatively, we can break the figure into a larger square prism and a triangular prism to verify the same answer:

V=30^2\cdot 14+\frac{1}{2}\cdot10\cdot 16\cdot 30=\boxed{15,000\:\mathrm{mm^3}}\checkmark

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