Question

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

Answer 1

Answer: 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

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Answer: 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