Answer:
Rational
Step-by-step explanation:
The definition of rational is that it can be written as a fraction where the top and bottom are integers (the bottom integer not 0).
--
43/10 is written in that form since 43 and 10 are both integers.
We will see that the cost of filling the tank is $38.88, and at the final of the trip she will have 4 gallons on the tank.
<h3>
How much costs to fill the tank?</h3>
a) The car holds 18 gallons, and it has 1/5 of the tank remaining.
Then in the tank there are:
(1/5)*18 = 3.6 gallons.
Then we need 18 gal - 3.6 gal = 14.4 gal
And each gallon costs $2.70, then to fill the tank, Miss Kito needs:
(14.4)*$2.70 = $38.88
b) Now we know that the car travels 26 miles per gallon, and she needs to travel a total distance of 364 miles.
Then she needs:
To travel that distance, and the car holds 18 gallons, so at the end of the trip, she will have 4 gallons of gasoline in her car.
If you want to learn more about algebra, you can read:
brainly.com/question/4344214
Answer:
133/143
Step-by-step explanation:
Let S be the sample space
Let E be the event of selecting three committee partners with at least one junior partner.
Partners in the law firm include:
Senior partners = 6
Junior partners = 7
Total partners = 13
n(S) = number of ways of selecting 3 partners from 13 = 13C3
n(S) = 13C3 = 13!/(10!3!) = (13x12x11)/(3x2x1) = 286
To get n(E) i.e least 1 junior partner in the selected committee, we may have:
(2 senior and 1 junior) or ( 1 senior and 2 junior) or (3 junior).
Therefore, the required number of way is given below:
= (6C2 x 7C1) + (6C1 x 7C2) + 7C3
= [(6x5)/2 x 7] + [6 x (7x6)/2] + [(7x6x5)/(3x2)]
= 105 + 126 + 35
n(E) = 266
Therefore, the probability P(E) that at least one of the junior partners is on the committee is given below:
P(E) = n(E) /n(S)
P(E) = 266/286
P(E) = 133/143
