A zookeeper weighed an African elephant to be 9 × 103 to the power of 3 pounds and an African lion to be 4 × 102 to the power of 2 pounds. How many times greater is the weight of the elephant than the weight of the lion?

A) 2.25 times 10 to the power of 1

B) 5

C) 13 times 10 to the power of 5

B) 3.6 times 10 to the power of 6

Because the weight of the elephant is raised to the power of 3, while that of the lion is raised to the power of 2, the ratio should be the weight of elephant to lion.

Ratio = (9×10³)/(4×10²) = 22.5 or 2.25×10¹

The answer is A.

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pinquancaro pinquancaro · Answer 2 · 2019-09-03T08:46:34+02:00

Answer:

[tex]2.25\times 10^1[/tex] times greater is the weight of the elephant than the weight of the lion.

Step-by-step explanation:

Given : A zookeeper weighed an African elephant to be [tex]9\times 10^3[/tex] pounds and an African lion to be [tex]4\times 10^2[/tex] pounds.

To find : How many times greater is the weight of the elephant than the weight of the lion?

Solution :

A zookeeper weighed an African elephant to be [tex]9\times 10^3[/tex] pounds.

A zookeeper weighed an African lion to be [tex]4\times 10^2[/tex] pounds

Now, Divide the weighed an African elephant with weighed an African lion to determine times greater is the weight of the elephant than the weight of the lion,

[tex]n=\frac{9\times 10^3}{4\times 10^2}[/tex]

[tex]n=2.25\times 10^1[/tex]

Therefore, Option A is correct.

[tex]2.25\times 10^1[/tex] times greater is the weight of the elephant than the weight of the lion.