<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:
9
Step-by-step explanation:
3(h-7)+3=9
3h-21+3=9
3h-18=9
3h=9+18
3h=27
h=27/3
h=9
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Answer:
a^3-125
Step-by-step explanation:
(a-5)(a^2+5a+25)
a^3+5a^2+25a-5a^2-25a-125
a^3+5a^2-5a^2+25a-25a-125
a^3-125
Answer:
Option B.
Step-by-step explanation:
Given:
-3( -x + a ) + 7 < 5 When x = -1
To Find:
a ?
Solution:
-3( -x + a ) + 7 < 5 When x = -1
Substitute x = -1 in above we get
-3(-(-1) + a ) + 7 < 5
-3(1 + a) < 5 - 7
Using Distributive Property we get i.e A(B+C) = AB + AC
Convert to a mixed number:
239/42
Divide 239 by 42:
4 | 2 | 2 | 3 | 9
42 goes into 239 at most 5 times:
| | | | 5
4 | 2 | 2 | 3 | 9
| - | 2 | 1 | 0
| | | 2 | 9
Read off the results. The quotient is the number at the top and the remainder is the number at the bottom:
| | | | 5 | (quotient)
4 | 2 | 2 | 3 | 9 |
| - | 2 | 1 | 0 |
| | | 2 | 9 | (remainder)
The quotient of 239/42 is 5 with remainder 29, so:
Answer: 5 29/42
