A kangaroo hops 2 kilometers in 3 minutes. At this rate, how far does the kangaroo travel in 2 minutes? *

Mathematics

1 answer:

Dmitrij [34]2 years ago

5 0

Answer:

At a speed of 2 km every 3 minutes, in 2 minutes the kangaroo would travel 1,333 km.

Step-by-step explanation:

If a kangaroo hops 2 kilometers in 3 minutes, to calculate how much distance this animal hops in 2 minutes, the following calculation should be performed:

2 km / 3 min = 0.666 km per minute (2/3 x 2)

0.666 km per minute x 2 minutes = 1.333 kilometers in 2 minutes (0.666 x 2)

Therefore, at a speed of 2 km every 3 minutes, in 2 minutes the kangaroo would hop 1,333 km.

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<h3>How to estimate the value of $(102)^3$ ?</h3>

Let us rewrite $(102)^3$ as $(100+2)^3$

Now utilizing the identity $(a+b)^3=a^3+b^3+3ab(a+b)$ , we get

a = 100 and b = 2 then substitute the values of a and b then

$(100+2)^3=100^3+2^3+[(3\times100\times2)(100+2)]$

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= 1000000 + 8 + 61200

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Hence, $(102)^3=1061208$

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