To balance a seesaw the distance a person is from the fulcrum is inversely proportional to his or her weight. roger who weights 120 pounds is sitting 6 feet from the fulcrum. ellen weights 108 pounds. how far from the fulcrum must she sit to balance the seesaw? round to the nearest hundredth of a root

6.67 ft

Step-by-step explanation:

   Let d = distance

 and w = weight

Then d = k/w

 or dw = k

 Let d1 and w1 represent Roger

and d2 and w2 represent Ellen. Then

d1w1 = d2w2

Data:

d1 = 6 ft; w1  = 120 lb

d2 = ?    ; w2 = 108 lb

Calculation:

6 × 120 = 108d2

       720 = 108d2

         d2 = 720/108 = 6.67 ft

Ellen must sit 6.67 ft from the fulcrum.

5.4 feet

Step-by-step explanation:

Step 1 : Prepare the data

Roger's weight = 120

Roger's distance from fulcrum = 6 feet

Ellen's weight = 108

Ellen's distance from fulcrum = D

Step 2 : Make an equation to find the unknown

Inverse proportion means that you have to cross multiply.

           Weight                              Distance

              120                                     6

              108                                     D

120 x D = 108 x 6

Step 3 : Solve the equation to find the unknown

120 x D = 108 x 6

D = 108 x 6

        120

D = 5.4 feet

Ellen must sit 5.4 feet far from the fulcrum to balance the seesaw.

!!

step-by-step explanation:

12475909

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.