1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
aleksley [76]
2 years ago
10

In a movie theater, the number of seats in a row is 8 greater than the total number of rows. How many rows are in the movie thea

ter, if the total number of seats in the theater is 884?
Mathematics
1 answer:
Harman [31]2 years ago
8 0

Answer:

26 rows

Step-by-step explanation:

this is like a rectangle length×width situation.

seats per row = s

number of rows = r

s × r = 884

s = r + 8

so, we can use e.g. the second equation in the first :

(r + 8) × r = 884

r² + 8r = 884

r² + 8r - 884 = 0

the general solution to such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = r

a = 1

b = 8

c = -884

r = (-8 ± sqrt(8² - 4×1×-884))/(2×1) =

= (-8 ± sqrt(64 + 3536))/2 = (-8 ± sqrt(3600))/2 =

= (-8 ± 60)/2 = -4 ± 30

r1 = -4 + 30 = 26

r2 = -4 - 30 = -34

a negative number did not make any sense for the number of rows, so r = 26 is our answer.

You might be interested in
Amber borrows $1,450 from the bank. If she repays the loan in 3 years, the annual interest rate is 5%, compounded annually. Howe
Step2247 [10]
The answer is $126 the asked for 20 charaters so
3 0
3 years ago
Read 2 more answers
I need help solving this equatioion. <br> (2xy)(3y)
aniked [119]

Step-by-step explanation:

So first we will multiply

(2xy)(3y)

=

6x {y}^{2}

7 0
3 years ago
2. A man drove 240 miles south at the rate of 60 miles per hour. On the return trip, he drove the rate of 40 miles per hour. The
shutvik [7]

av =  \frac{v_{2} - v_{1}}{t_{2} - t_{1}}

t_{1} =  \frac{d}{v_{1}} =  \frac{240}{60} = 4 \: hours  \\ t_{2} =  \frac{d}{v_{2}}  =  \frac{240}{40}  = 6 \: hours

av =  \frac{v_{2} - v_{1}}{t_{2} - t_{1}}  =  \frac{40 - 60}{6 - 4}   =  \frac{ - 20}{2}  =  - 10

av  \: speed= 10 \\ av \: velocity =  - 10 \:  \: north

3 0
1 year ago
Read 2 more answers
Can someone answer this question?
Ber [7]
I hope this helps you

5 0
3 years ago
Read 2 more answers
WHAT IS THE SQUARE ROOT OF 225
ludmilkaskok [199]
The square root of 225 is 15 :)
3 0
3 years ago
Read 2 more answers
Other questions:
  • The slope of the line passes through the points (6,r) and (13,5) is 2/7. What is the value of r?
    9·1 answer
  • Need help on this one to plz show work
    8·1 answer
  • What is the value of m2-2mn+n2 for m=-2 and n=4
    9·2 answers
  • Find all numbers whose absolute value is 5.
    5·1 answer
  • The student population of a school consists of 300 girls and 500 boys. If 53% of the girls play a sport, and 39% of the boys pla
    10·1 answer
  • frank made $156.00 12 hours of work. at the same rate, how many hours would he have to work to make $221?
    9·1 answer
  • An architect built a scale model of a skyscraper using a scale in which 2 inches represents 48 yards. The height of the skyscrap
    7·1 answer
  • Simplify: −6u2v−uv2−22u2v2
    13·2 answers
  • 5 The Young family is replacing their central air-conditioning with a high- efficiency unit that costs $11798. The family is off
    10·1 answer
  • HELP PLEASE!!!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!