To find the common ratio, start at the end and divide terms:
(8/9) / (4/3) = (2/3)
(4/3) / 2 = (2/3)
2 / 3 = (2/3)
The ratio is 2/3
1) expand the brackets
6(-3 - x) - 2x = 14
-18 - 6x - 2x = 14
simplify
-18 - 8x = 14
then add 18 to both sides to get the x's on there own
-8x = 32
then divide by -8
x = 32/-8
x = -4
2) multiply everything by 7x
2 + (6 x 7x) + ( 17x × 7x) = 18 x 7x
2 + 42x + 119x^2 = 126x
put everything on one side
119x^2 - 84x + 2 = 0
then use quadratic equation to solve
x = 0.024671849 or 0.6812105039
9.75+9.75+9.75= 29.25 (if you do not include tax). $43.00 - $29.25 = $13.75 so therefore after buying 3 tickets worth $9.75 each, he will have $13.75 left over.
Answer: 2,496 orders in 24 hours
Step-by-step explanation:
24x104=2,496
