<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:
c = 32/3
Step-by-step explanation:
Eliminate the fraction by mult. all terms by 8: 96 + 3c = 64.
Subtract 64 from both sides, obtaining: 3c = 32. Solving for c, c = 32/3.
$52.50 / 42 = 1.25
$1.25 per each slice
Answer:
Susan is riding her bike. The distance she travels varies directly with the number of revolutions (turns) her wheels make. See the graph below.
23
20
Answer:
Step-by-step explanation:
15% = 15/100= 0.15
45% = 45/100 = o.45
Remaining students: 40% = 40/100 = 0.4%
