14. solve the equations: 5(z - 4) - z = 4z - 20 a. 4 b. -4 c. infinitely many solutions d. no solution 3 + 6z = 13 + 6z a. z = -5/6 b. z = 2 2/3 c. z = infinelty many solutions d. z = no solution 16. eric and mark went to a ball game and visited the concession stand. they each got a hot dog, and mark got a large soda and a bag of peanuts. eric had a coupon for $3 off the cost. mark paid the rest which came to $11.50. peanuts cost $4, and a hot dog costs $3.50. what was the cost for a large soda? a. $7.50 b. $1.50 c. $4.00 d. $3.50

C

Step-by-step explanation:

5(z - 4) - z = 4z - 20

5z - 20 - z = 4z - 20

    4z - 20 = 4z - 20

   -4z           -4z        

          -20 =       -20

               TRUE

Since it is a true statement, there are infinitely many solutions

D

Step-by-step explanation:

Eric: 1 hot dog

Mark: 1 hot dog + 1 soda + 1 peanuts

Total: 2 hot dogs + 1 soda + 1 peanuts

       =  2(3.50)        + x         + 1(4.00)

       =      7.00        + x          + 4.00

       =                         x + 11.00

Eric paid 3.00:  x + 11.00 - 3.00

                          x + 8.00

Mark paid 11.50 which was the balance owed: 11.50 = x + 8.00

11.50 = x + 8.00

-8.00         -8.00

 3.50 = x

the soda cost $3.50

idk

step-by-step explanation:

use that smart brain

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: