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

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

~

160 cm

step-by-step explanation:

you have to add all the sides together