Felicia has 29 buttons in her collection. She will connect 12 new buttons every year. Felicia collects buttons for k years. For what values of k will Felicia have at least 120 buttons?

The answer to your question is k = 8, 9, 10, 11,

Step-by-step explanation:

Data

Number of buttons = 29

She collects 12 buttons every year

number of years she will have more than 120 buttons

Process

1.- Write an inequality to solve this problem

             29 + 12k ≥ 120

2.- Solve for k

                      12k ≥ 120 - 29

                      12k ≥ 91

                          k ≥ 91/12

                          k ≥ 7.6  

3.- Conclusion

                          k must be higher than 7.6 but look for whole numbers

                          k = 8, 9, 10, 11

step-by-step explanation:

circumference divided by 3.141592654 then timesthe radius twice

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable   r   represents the radius of the circle,   h   represents the x-offset from the origin, and   k   represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at   ( h , k ) .

center:   ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center:   ( 3 , 1 ).

radius:   4