Answer:
Step-by-step explanation:
GIVEN: A farmer has of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is .
TO FIND: Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions.
SOLUTION:
Let the length of rectangle be and
perimeter of rectangular pen
area of rectangular pen
putting value of
to maximize
but the dimensions must be lesser or equal to than that of barn.
therefore maximum length rectangular pen
width of rectangular pen
Maximum area of rectangular pen
Hence maximum area of rectangular pen is and dimensions are
Answer: 12 days
Step-by-step explanation:
Based on the question, we have to list the multiples of 3 and 4. This will be:
3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40.
The lowest common multiple is 12.
It will take 12 days before Korey runs and swims again on the same day.
Answer: option C is the correct answer
Step-by-step explanation:
The system of linear equations is
10x + 7y = 12 - - - - - - - 1
8x + 7y = 18 - - - - - - - 2
Since the coefficient of y is the same in equation 1 and equation 2, we will eliminate y by subtracting equation 2 from equation 1, it becomes
10x - 8x + 7y - 7y = 12 - 18
2x = -6
x = - 6/2 = - 3
Substituting x = - 3 into equation 1, it becomes
10×-3 + 7y = 12
-30 + 7y = 12
Let the constants be on the right hand side and the term containing y be on the left hand side. It becomes
7y = 12 + 30
7y = 42
y = 42/7
y = 6
C) (−3, 6)
19.2740122 fluid ounces = 570 milliliters. I'm positive this really is the answer. :)
Answer:
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
Let
c ----> the total cost of the boat rental
d ---> is the number of days, the family rents the boat
we know that
Kaya's family spends $105 to rent a boat for 7 days
so
For d=7 days, c=$105
Find the value of the constant of proportionality k
substitute the given values
therefore
The linear direct equation is equal to