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Travka [436]
2 years ago
13

Answer the questions below about Line 1 and Line 2 shown below.

Mathematics
2 answers:
Bad White [126]2 years ago
7 0
Associative Property of Addition
(3+9) +5 equals 12 + 5 which equals 17
3 + (9+5) equals 3 + 14 which equals 17
mafiozo [28]2 years ago
4 0
12,17,14,17 you always solve what’s in the parentheses first
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Read 2 more answers
A rectangular auditorium seats 1564 people. the number of seats in each row exceeds the number of rows by 1212. find the number
yanalaym [24]
<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>
4 0
3 years ago
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