The Navy Pier Ferris Wheel in Chicago has a circumference that is 56% of the circumference of the first Ferris wheel built in 1893. The Circumfrence of the Navy Peir wheel is 439.6 ft. What is the radius of the first ferris wheel?

Hey there! I'm happy to help!

439.6 is 56% of the first Ferris wheel. The word is means equals, so we can set up the following equation. We will call the original wheel w.

439.6=0.56w

We divide both sides by 0.56

w=785

We divide by 3.14 to find the diameter.

785/3.14=250

Radius is half of the diameter.

250/2=125

The radius of the first Ferris wheel is 125 ft.

Have a wonderful day! :D

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions