The Smiths are moving across the country. Mr. Smith leaves 4 hours before Mrs. Smith. If he averages 60mph and she averages 80mph, how many hours will it take Mrs. Smith to catch up to Mr. Smith?

60 miles per hour x 4 hours = 240 miles

Mr smith was 240 miles ahead of Mrs/ smith

The difference in speeds was 80 - 60 = 20 miles per hour

240 miles / 20 miles per hour = 12 hours.

It takes 12 hours to catch up.

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation:

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation: