Ryan has a collection of 216 baseball cards. He lets his brother have 1/3 of his collection and takes 27 cards to school to give his friends. How many baseball cards remain in Ryan's collection?

117

Step-by-step explanation:

First you do 216 divide by 3 to know how many cards he gave his brother. So 216/3 is equal to 72. Then you add 72 to 27 to know the total amount of cards he loses, which is 99. Now you do 216-99 to get 117.

117 baseball cards remain in Ryan's collection.

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

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