The answer to your question is 2 and 5/12
46 = 7/9 (12x - 72) + 18
first, use the distributive property 7/9 (12x - 72)
46 = 28/3x - 56 + 18
combine like terms
46 = 28/3x - 38
add 38 to both sides
84 = 28/3x
multiply both sides by 3/28 to isolate x
9 = x
Answer:
The two plans will cost the same at 100 miles
Step-by-step explanation:
The total cost in dollars for subscribing to the first plan is 50+ 3.5×(miles covered)
While the total cost on dollars for subscribing to the second plan is 75+3.25×(miles covered)
The cost of both plans will be the same when they are equal to each other. To obtain the mile covered at the point, we need to graduate the two plan prices.
i.e 50+3.5m= 75+3.25m
Solving this equation
3.5m-3.25m= 75-50
0.25m=25
m=100
Therefore, at 100 miles, the prices will be the same
