a rectangle has a lenght of x^3 y^4 inches and a width of xy^7 inches. Which expression represents the ratio of the lenght of the rectangle to the width of the rectangle
a.x^2/y^3
b.x^3/y^3
c.y^3/x^3
d.y^3/x^2
The correct answer is: a. x^2/y^3
To find the ratio of the length to the width, we divide the length by the width.
Length = x^3 y^4 inches
Width = xy^7 inches
To divide these two expressions, we subtract the exponents of the variables:
x^3 / x = x^(3-1) = x^2
y^4 / y^7 = y^(4-7) = y^-3 = 1/y^3
So, the ratio of the length to the width is x^2/y^3.