Question

If a cow has a mass of 9×102 kilograms, and a blue whale has a mass of 1.8×105 kilograms, which of these statements is true?

Answer 1

The mass of the Blue whale is 200 times the mass of the cow

Explanation:

Given

Mass of Cow = 9 * 10² kg

Mass of Blue Whale = 1.8 * 10⁵ kg

Required

Determine the relationship between both weights

Represent the mass of the cow with C and the mass of the whale with B

`C = 9 * 10^2kg`

`C = 9 *100kg`

`C = 900kg`

`B = 1.8 * 10^5kg`

`B = 1.8 * 100000kg`

`B = 180000kg`

Divide the bigger weight by the smaller weight

`(B)/(C) = (180000kg)/(900kg)`

`(B)/(C) = (180000)/(900)`

`(B)/(C) = {200}{}`

Multiply both sides by C

`C * (B)/(C) = {200}{} * C`

`B = {200}{} * C`

`B = 200}C`

From the expression above, it can be concluded that the mass of the Blue whale is 200 times the mass of the cow