A Ferris Wheel is set up at the carnival it has a diameter of 45 feet. What is the total circumference if the ferris wheel makes 4 rotations around?

The circumference is 565.2 feet when the ferris wheel makes 4 rotations.

Step-by-step explanation:

Given that the diameter of the wheel is 45 feet.

That is:

We have to find the radius first

The circumference of the circular wheel for one rotation will be:

And for four rotations' circumference the circumference of one rotation will be multiplied with 4.

Total circumference:

Hence,

The circumference is 565.2 feet when the ferris wheel makes 4 rotations.

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)

the football players are volunteering for the test.

happy to

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