A boat has a mass of 31,999 kg and a plane has a mass of 110,000 kg. What is the ratio of weight of the plane to the boat?
A. 3.44 :1
B. 2.14:1
C. 9.96:1
D. 20.12:1

Respuesta :

Answer:

A. 3.44 :1

Explanation:

We use ratios to compare things, that is, this helps us to know how much of one thing there is compared to another thing. We can express ratios in different ways:

[tex]Using \ fractions: \ \frac{a}{b} \\ \\ \\ Using \ words: \ a \ to \ b \\ \\ \\ Using \ : \ to \ separate \ values[/tex]

In this exercise, we know that:

  • A boat has a mass of 31,999 kg
  • A plane has a mass of 110,000 kg

And we want to know the ratio of weight of the plane to the boat. So, if:

a: mass of the boat 31,999 kg

b: mass of the plane 110,000 kg

Then, the ratio of weight of the plane to the boat is:

[tex]\frac{b}{a}=\frac{110,000}{31,999}=3.44 \\ \\ \\ So: \\ \\  \boxed{\frac{b}{a}=3.44:1}[/tex]

So the correct option is A. 3.44:1

Answer:

3.44:1

Explanation:

We use ratios to find the ratio of weight.

 Mass of Plane= 110000 kg                          ∴ W= mg

 Mass of  Boat =31999 kg

[tex]\frac{weight of plane}{weight of boat}[/tex]=[tex]\frac{110000*9.81}{31999*9.81}[/tex]

 =[tex]\frac{3.44}{1}[/tex]

SO 3.44:1