cassie has a coupon for 30% off the cost of dinner at a local restaurant. with the coupon, she saves $6 on her dinner. what was the original cost of her dinner? explain how you know.

$20.

Step-by-step explanation:

$6 is 30 % of the original cost.  

30% = 0.30 as a decimal fraction.

If the original cost is x dollars then we have the equation:

0.30x =  6

x = 6 / 0.30

= $20.

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

step-by-step explanation: