Answer:
x
=
40
Step-by-step explanation:
Complete question :
Tom will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $57.98 and costs an additional $0.14 per mile driven. The second plan has an initial fee of $53.98 and costs an additional $0.16 per mile driven. How many miles would Tom need to drive for the two plans to cost the same?
Answer:
200 miles
Step-by-step explanation:
Let miles driven = x
First option :
57.98 + 0.14x
Second option :
53.98 + 0.16x
First option = second option
57.98 + 0.14 = 53.98 + 0.16x
57.98 - 53.98 = 0.16x - 0.14x
4 = 0.02x
x = 200
200 miles
Answer:the number of gallons of water left in the tub after it has drained for x minutes is 300 - 8x
Step-by-step explanation:
A hot tub that holds 300 gallons of water drains at a rate of 8 gallons.
Let x represent the number of minutes for which the hot tub has drained water.
If the hot tub drains 8 gallons of water per minute, it means that in x minutes, the number of gallons of water that the hot tub would have drained is 8x
Therefore, the number of gallons of water left in the tub after it has drained for x minutes would be
300 - 8x
Using a binomial distribution considering there's a 30% chance it will rain on any of the three days:
<span>The probability of it raining on 0 days is (1)(0.7)(0.7)(0.7) = 34.3%. </span>
<span>The probability of it raining on 1 day is (3)(0.3)(0.7)(0.7) = 44.1%. </span>
<span>The probability of it raining on 2 days is (3)(0.3)(0.3)(0.7) = 18.9%. </span>
<span>The probability of it raining on 3 days is (1)(0.3)(0.3)(0.3) = 2.7%. </span>
<span>There's a 65.7% chance that it will rain at least once over the three-day period.</span>
Answer:
Step-by-step explanation:
10h+15=65 subtract 15 from each side
10h=50, divide each side by 10
h=5
He was at the fair for 5 hours
