a large painting has a length of 18 inches and width of 12 inches. If each dimension is reduced by x inches to make the ratio of length to width 5 to 3, what is the value of x

Answer:

The value of x = 3.

Step-by-step explanation:

The ratio between length and width is given by:

[tex]\frac{L}{W}=\frac{5}{3}[/tex]

Where:

L represents the new length

W represents the new width

Now, we know that each dimension is reduced by x inches, it means:

Answer:The value of

x = 3.Step-by-step explanation:The ratio between length and width is given by:

[tex]\frac{L}{W}=\frac{5}{3}[/tex]

Where:

Now, we know that each dimension is reduced by x inches, it means:

[tex]L=18-x[/tex]

[tex]W=12-x[/tex]

Then, we will have:

[tex]\frac{18-x}{12-x}=\frac{5}{3}[/tex]

Finally, we just need to solve it for x.

[tex]3(18-x)=5(12-x)[/tex]

[tex]5x-3x=60-54[/tex]

[tex]2x=6[/tex]

[tex]x=3[/tex]

Therefore, the value ofx = 3.I hope it helps you!