a rectangle has a length of x3y4 inches a width of xy7 inches. which expression represents the ratio of the length of the rectangle to the width of the rectangle?

R = x^2/y^3

Step-by-step explanation:

here we will use the relation:

x^a/x^b = x^(a - b)

We know that:

Length = x^3*y^4

Width = x*y^7

And we want to find an expression that represents the ratio between the length and the width.

Then we just need to take the quotient Lenght/width or:

R = ( x^3*y^4)/(x*y^7)

Now first let's distribute in such way the x's and the y's are separated, and then let's use the relationship that is above.

= (x^3/x)*(y^4/y^7) = x^(3 - 1)*y^(4 - 7) = x^2*y^-3

R = x^2/y^3

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice

2.83941151 would be the answer you're looking for! : )