After losing 3 baseball cards, peter gave half of his remaining cards to bobby. if peter gave bobby 9 baseball cards, how many cards did peter start with? linear equation:   1 /2 (x - 3) = 9 bobby claims that peter started with 21 cards. which statements are true about verifying bobby’s claim? check all that apply. 1. substitute 21 for x in the original equation. 2. substitute any number for x in the original equation. 3. bobby’s claim that x = 21 is correct. 4. the result of verifying bobby’s work is 9 = 9. 5. the result of verifying bobby’s work is 21 = 21.

Hi There!

1. Substitute 21 for x in the original equation.

3. Bobby’s claim that x = 21 is correct.

4. The result of verifying Bobby’s work is 9 = 9.

Step-by-step explanation:

Linear Equation: 1/2 (x - 3) = 9

Bobby wants to substitute x for 21.

1/2 (21 - 3) = 9

1/2 (18) = 9

9 = 9

Bobby's claim is correct.

Hope This Helps :)

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

a_n = a_1 + (n - 1)d

the first term is 6.

the common difference d = ?

when you find d, replace n with 7 and d with the common difference to find your answer.