Company A charges $55 per day plus $0.35 per mile to rent a car. Company B charges $50 per day plus $0.40 per mile. Jack wants to rent a car for three days. How many miles should Jack be traveling so that Company A is less expensive than Company B?
The volume of a rectangular slab of concrete needs to exceed 72 cu. ft. If the length is 12 feet and the width is 8 feet, how thick does the concrete slab need to be?
“Collin left the party one half hour before Gabriel. Terrence left an hour and a half later than Gabriel. Together the three of them stayed more than four hours. How long did they each stay at the party?”
Laura found $2.15 in quarters and nickels in the bottom of her purse. There were seven fewer quarters than nickels. How many nickels and quarters did she find?
company A:
cost = .35m + 55
company B:
cost = .4m + 50
solve
.4m+50 = .35m+55
.05m = 5
m = 5/.05 = .....
Please do not post a new problem as an appendix to a previous post.
Tutors will think it has been answered and might ignore the entire post
second Problem:
let the thickness be x ft
so 12(8)x ≥ 72
x ≥ 72/96
x ≥ 3/4 ft
You are more likely to get each answered if you post each question as an individual posting
To determine how many miles Jack should be traveling so that Company A is less expensive than Company B, we need to compare the total costs of renting a car from both companies.
First, let's calculate the total cost of renting a car from Company A:
Total cost from Company A = (Daily charge from Company A) + (Cost per mile from Company A) * (Number of miles)
Total cost from Company A = $55 + $0.35 * (Number of miles)
Next, let's calculate the total cost of renting a car from Company B:
Total cost from Company B = (Daily charge from Company B) + (Cost per mile from Company B) * (Number of miles)
Total cost from Company B = $50 + $0.40 * (Number of miles)
Now, we want to find the number of miles for which Company A is less expensive than Company B. In other words, we want to find the value of (Number of miles) that satisfies the following inequality:
Total cost from Company A < Total cost from Company B
$55 + $0.35 * (Number of miles) < $50 + $0.40 * (Number of miles)
To solve this inequality, we can subtract $50 and $0.35 * (Number of miles) from both sides:
$0.35 * (Number of miles) - $0.40 * (Number of miles) < $50 - $55
$-0.05 * (Number of miles) < -$5
Now, we can divide both sides by $-0.05 to isolate (Number of miles):
(Number of miles) > -$5 / $-0.05
(Number of miles) > 100
Therefore, Jack should be traveling more than 100 miles for Company A to be less expensive than Company B.