SOLUTION: A rectangular hall has"m" rows and (36-m) columns of seats. If the number of seats of the hall exceeds 320.
A. Find all the possible values of "m"
B. Find the max. # of seats in
Algebra.Com
Question 891971: A rectangular hall has"m" rows and (36-m) columns of seats. If the number of seats of the hall exceeds 320.
A. Find all the possible values of "m"
B. Find the max. # of seats in the hall
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A rectangular hall has"m" rows and (36-m) columns of seats. If the number of seats of the hall exceeds 320.
Find the value for m to equal 320
m(36-m) = 320
-m^2 + 36m - 320 = 0
multiply by -1
m^2 - 36m + 320 = 0
Factors to (m-16)(m-20)
m = 16
and
m = 20
:
Graphically, green is 320
:
A. Find all the possible values of "m"
m = 17, 18, 19, to exceed 320 seats
:
B. Find the max. # of seats in the hall
max occurs when m = 18
18(36-18) = 324 seats
RELATED QUESTIONS
a conference hall has 20 rows of seats .the first row contains 20 seats,the second row... (answered by ikleyn)
In a hall, there are 180 seats. The number of seats in each row is 8 more than the number (answered by mananth)
A rectangular auditorium seats 1452 people. The number of seats in each row exceeds the... (answered by jorel1380)
A rectangular auditorium seats 3332 people. The number of seats in each row exceeds the... (answered by fractalier)
A rectangular auditorium seats 2464 people. The number of seats in each row exceeds the... (answered by ikleyn)
A rectangular auditorium seats
1575
people. The number of seats in each row exceeds... (answered by ikleyn)
A rectangular auditorium seats 2744 people. The number of seats in each row exceeds the... (answered by josmiceli)
A rectangular auditorium seats 2714 people. The number of seats in each row exceeds the... (answered by stanbon)
A rectangular auditorium seats 1170 people. The number of seats in each row exceeds the... (answered by Alan3354)