Answer: 58 in
Step-by-step explanation:
The car goes 23.2 miles every gallon, so with 15 gallons (15 * 23.2 = 348) it can go 348 miles. With the extra .25 that the car has, it can go 0.25 * 23.2 = 5.8 miles. 348 miles plus the 5.8 miles gets you 353.8 miles on 15.25 gallons.
Ranking is very critical in this problem. Therefore, the most applicable mathematical theory is permutations.
Ranking possible for the cellists:
Needed cellists = 5
Total available cellists = 10
Possible number of rankings = 10P5 = 10!/(10-5)! = 30240
Ranking possible for the violinists:
Needed violinists = 5
Total available = 16
Possible number of rankings = 16P5 = 16!/(16-5)! = 524160
Therefore,
Ratio of rankings (cellists to violinists) = 30240/524160 = 3/52
Answer:
1/3
Step-by-step explanation:
Slope = ( y₂ - y₁ ) ÷ ( x₂ - x₁ )
y₂ = 9
y₁ = 7
x₂ = 4
x₁ = -2
y₂ - y₁ = 9 - 7 = 2
x₂ - x₁ = 4 - -2 = 6
2 ÷ 6 = 1/3
That would be 1 21/99 or 120/99 as an improper fraction.
