You can write two equations using the given information:
.. L = W +8
.. L * W = 609
Using substitution, you get a quadratic.
.. (W +8) * W = 609
.. W^2 +8W -609 = 0
Not surprisingly, you're looking for factors of 609 that differ by 8.
.. 609 = 1*609 = 3*203 = 7*87 = 21*29
The last two are the factors of interest.
.. (W +29)(W -21) = 0
The width of the rectangle is 21 feet, the length is 29 feet.
_____
Sometimes it is easier to work with the average dimension. Here, let that be x. Then you have
.. (x +4)(x -4) = 609
.. x^2 -16 = 609
.. x^2 = 625 = 25^2 . . . . . . . one of your memorized math facts
So, the dimensions are
.. 25 +4 = 29 by 25 -4 = 21, that is, 29 ft by 21 ft.
Answer:
7y
Step-by-step explanation:
2+(5+y)
2+5y
=7y.............
Answer:
$94.50
Step-by-step explanation:
Total No. of students = Lisa(1) + 17 classmates = 1+17 = 18
Money donated by 1 student = $5.25
Money donated by 18 Students = 18*5.25 = $94.50
Answer:
Option D. Divide the number of acres by the number of horses
Step-by-step explanation:
Let
x-----> the number of acres for each horse
we know that
------> inequality A
To find the number of acres for each horse, divide the number of acres by the number of horses
so

substitute the value of x in the inequality A
------> is true
therefore
The farmer has enough acreage for 12 horses