<span>We can safely assume that 1212 is a misprint and the number of seats in a row exceeds the number of rows by 12.
Let r = # of rows and s = # of seats in a row.
Then, the total # of seats is T = r x s = r x ( r + 12), since s is 12 more than the # of rows.
Then
r x (r + 12) = 1564
or
r**2 + 12*r - 1564 = 0, which is a quadratic equation.
The general solution of a quadratic equation is:
x = (-b +or- square-root( b**2 - 4ac))/2a
In our case, a = 1, b = +12 and c = -1564, so
x = (-12 +or- square-root( 12*12 - 4*1*(-1564) ) ) / 2*1
= (-12 +or- square-root( 144 + 6256 ) ) / 2
= (-12 +or- square-root( 6400 ) ) / 2
= (-12 +or- 80) / 2
= 34 or - 46
We ignore -46 since negative rows are not possible, and have:
rows = 34
and
seats per row = 34 + 12 = 46
as a check 34 x 46 = 1564 = total seats</span>
Answer:
see the explanation
Step-by-step explanation:
Let
L ---> the length of rectangle in cm
W ---> the width of rectangle in cm
The area of rectangle is
so
---> equation A
we know that
<u><em>Prime numbers</em></u> only have factors of 1 and themselves.
So a rectangle with an area of 991 cm² can only be either
or
Answer:
$2000
Step-by-step explanation:
Given data
We are given that the price of the super PC is $2000
Since they are buying only one of the super PC they will have to pay
$2000
Hence option C is the correct answer
<span>4(c+2)= -28
Use distributive property
4c+8=-28
Subtract 8 from both sides
4c=-36
Divide 4 on both sides
Final Answer: c=-9</span>