caroline took a math test and got 19 out of 25 questions. what percent of questions did she get correctly?
2 answers:
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Answer:
The largest area enclosed is A = xy = 6 feet 6 feet = 36
Step-by-step explanation:
i) The perimeter of the area is 2(x + y) =24 ∴ x + y = 12 ∴ y = 12 - x
ii) The area of rectangle enclosed A = xy ⇒ A = x ( 12 - x) = 12x -
iii) differentiating both sides of the equation in ii) we get
⇒ x = 6 feet
iv) Differentiating both sides of equation in iii) we get = -2
Therefore the area enclosed is maximum as the double derivative is negative
v) therefore for largest area enclosed x = 6 feet and y = 12 - 6 = 6 feet
vi) therefore the largest area enclosed is
A = xy = 6 feet 6 feet = 36
Answer:
Train A's unit rate is 70 km per hour.
Train B's unit rate is 75 km per hour.
Train B is faster.
Step-by-step explanation:
Train A:
Distance traveled by train A is given as,
Where, is time in hours and
is distance in kilometers.
Unit rate for train A is the distance traveled by it in 1 hour.
For t hours, distance traveled by train A =
∴ For, 1 hour, distance traveled by train A = km per hour.
Therefore, unit rate for train A is 70 km/h.
Train B:
From the table,
Distance traveled in 2 hours = 150 km
∴ Distance traveled in 1 hour = km per hour.
Therefore, unit rate for train B is 75 km/h.
Speed is distance traveled per unit time.
Therefore, unit rate is nothing but speed of train.
As unit rate of train B is greater than that of train A, speed of train B is greater and thus faster.