<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:
70
Step-by-step explanation:
the 7 is in the tenths place of the number, so its value is 70
Answer:
8.4
Step-by-step explanation:
50 ÷ 25 = 2
(2)2 x 7 x 0.3
4 x 2.1
= 8.4
The roots of the parabola is where the x-intercepts are so the answer is x=-1 and x= 5
8 1/2 = 8 4/8, so…
8 4/8-2 5/8= 6 1/8
Final answer is…
6 1/8
