renting a car from company a costs $50 plus $.10 a mile. renting from company b costs $20 plus $.25 a mile. at what distance do the cars cost the same to rent?

Start with the equation:

.10d + 50 = .25d + 20
Next step:
subtract 20 from both sides to get:
.10d + 30 = .25d

Next step:
subtract .10d from both sides to get:
30 = .15d, then divide both sides by .15 to get 200 = d

ANSWER: 200 miles...substitute into original equation shown above to check your work...GOOD LUCK!

thank you so much for your help !!!!!!!!!11

To find the distance at which the cars cost the same to rent, we need to set up an equation based on the given information.

Let's assume the distance in miles is represented by "d."

For company A, the total cost to rent the car will be $50 (base cost) + $0.10 (cost per mile) * d (distance in miles) = $50 + $0.10d.

Similarly, for company B, the total cost to rent the car will be $20 (base cost) + $0.25 (cost per mile) * d (distance in miles) = $20 + $0.25d.

To find the distance at which the costs are the same, we can set up the equation:

$50 + $0.10d = $20 + $0.25d

Now, let's solve for "d" to find the distance:

$0.15d = $30 (subtract $20 from both sides)
d = $30 / $0.15 (divide both sides by $0.15)

Simplifying further,
d = 200 miles

Therefore, the cars from company A and company B will cost the same to rent when the distance is 200 miles.