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Select all the equations that have a solution of [tex]c = 1.5[/tex].

A. [tex]4c = 41.5[/tex]

B. [tex]150c = 100[/tex]

C. [tex]13.5 - c = 10[/tex]

D. [tex]6c = 9[/tex]

E. [tex]0.2c = 0.3[/tex]

Answer :

The equations that have a solution of c=1.5 are 4c=41.5 and 0.2c=0.3.

1. 4c=41.5:

To find the value of c, divide both sides of the equation by 4:

4c/4 = 41.5/4

c = 10.375

Since c is not equal to 1.5, this equation does not have a solution of c=1.5.

2. 150c=100:

Divide both sides of the equation by 150:

150c/150 = 100/150

c = 0.6667

Since c is not equal to 1.5, this equation does not have a solution of c=1.5.

3. 13.5-c=10:

Subtract 10 from both sides of the equation:

13.5 - 10 - c

3.5 - c

Rearrange the equation to isolate c:

-c = -3.5

Divide both sides by -1 (or multiply by -1):

c = 3.5

Since c is not equal to 1.5, this equation does not have a solution of c=1.5.

4. 6c=9:

Divide both sides of the equation by 6:

6c/6 = 9/6

c = 1.5

This equation has a solution of c=1.5.

5. 0.2c=0.3:

Divide both sides of the equation by 0.2:

0.2c/0.2 = 0.3/0.2

c = 1.5

This equation has a solution of c=1.5.

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