Answer :

All the equations that have 10² = 100 as a solution are given as follows:

  • 4.08x = 408
  • 0.97x = 97

How to verify if 10² = 100 is a solution to the equation?

We have to solve the equations and verify if the solution is equals to 100.

All the equations have the following format:

ax = b

Isolating the variable x, the solutions are given as follows:

x = b/a.

The first equation is:

0.031x = 31

The solution is:

x = 31/0.031 = 1000 = 10³.

The second equation is:

0.501x = 501

The solution is:

x = 501/0.501 = 1000 = 10³.

The third equation is:

4.08x = 408.

The solution is:

x = 408/4.08 = 100 = 10². (one of the correct options).

The fourth equation is:

0.97x = 97.

The solution is:

x = 97/0.97 = 100 = 10². (one of the correct options).

The fifth equation is:

0.55x = 550.

The solution is:

x = 550/0.55 = 1000 = 10³.

Missing information

The equations are:

  • 0.031x = 31.
  • 0.501x = 501
  • 4.08x = 408.
  • 0.97x = 97.
  • 0.55x = 550.

The problem asks for which of these equations 10² = 100 is a solution.

More can be learned about the solution of equations at https://brainly.com/question/25896797

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