Answer:
An improper fraction is when the numerator of the fraction is larger than the denominator
For example, 13/4 is improper because 13 > 4
An improper fraction can be changed into a mixed number by dividing the numerator by the denominator
For example, 13 divided by 4 is 3 with remainder 1, or 3 1/4
Step-by-step explanation:
Let's forget for the tie being the cost ($3.5)of the 1st fifth of a mile:
Taxi charge excluding $3.5, is $13.95 - $3.5 = $10.45.
If each of the 5th (1/5) of a mile costs $0.55, then with $10.45 we can drive:
10.45/0.55 = 19 fifth of a mile. Add to that the 1st fifth = 20 fifth of a mile
20 fifth = 20 x 1/5 = 4 miles (answer)
Answer:
2x(3x-2)
Step-by-step explanation:
Answer:
Step-by-step explanation:
The expression equivalent to

Hope it helps :)
Answer:
52 Trees
Step-by-step explanation:
If she plants 85 trees per acre, each tree will yield 80 bushels of fruit.
Yield = 85 X 80
Let x be the additional tree planted per acre.
For each additional tree planted per acre, the yield of each tree will decrease by 4 bushels.
Therefore, the yield:

Next, we maximize F(x) by taking its derivatives and solving for its critical point.


It is apparent that she currently has too many trees per acre. To get a maximum harvest, she needs to reduce the number of trees by approximately 32.5 trees.
Therefore, number of trees per acre she should plant:
85+(-32.5)
=85-32.5
=52.5 Trees
Since the number of trees can only be an integer and it cannot be greater than 52.5, the number of trees to be planted per acre to maximize her harvest is 52.