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
Olin [163]
3 years ago
13

The total number of seats in a movie theater is calculated by adding the area of the upper section given by 8x2 and the area of

the lower section given by 6x2. The theater plans to add an addition of front row seats given by 4x for a total of 138 seats. Which equation could be used to solve for the number of seats in the front row addition?
Mathematics
1 answer:
e-lub [12.9K]3 years ago
3 0
8x^2+6x^2+4x=138  combine like terms on left side

14x^2+4x=138 since the number of seats in the from row is just 4x, subtract 14x^2 from both sides

4x=138-14x^2  that would be the general solution, if you wanted the actual number you would have to solve for x and then multiply that value by 4 to know what "4x" is...

14x^2+4x-138=0

14x^2-42x+46x-138=0

14x(x-3)+46(x-3)=0

(14x+46)(x-3)=0

2(7x+23)(x-3)=0, since x>0

x=3 and thus

4x=12 seats

So there are 12 seats in the front row addition.


You might be interested in
The area of a rectangular horse pasture is 268,500 square yards. The length of the pasture is 5 yards less than three times the
Setler79 [48]

Answer:  width = 300

<u>Step-by-step explanation:</u>

Area (A) = Length (L) x width (w)

Given: A = 268,500

           L = 3w - 5

           w = w

268,500 = (3w - 5) x (w)

268,500 = 3w² - 5w

            0 = 3w² - 5w - 268,500

            0 = (3w + 895) (w - 300)

   0 = 3w + 895        0 = w - 300

  -985/3 = w             300 = w

Since width cannot be negative, disregard w = -985/3

So the only valid answer is: w = 300

   

8 0
3 years ago
Karmen returned a bicycle to Earl's Bike Shop. The sales receipt showed a total paid price of $211.86, including the 7% sales ta
MakcuM [25]

Answer:

$198

Step-by-step explanation:

198x.07=13.86

198+13.86=211.86

7 0
3 years ago
Find the slope plz help ASAP!!
vlada-n [284]
Up 3 left 4
Slope= -3/4
3 0
2 years ago
The question about the metrologist
nadezda [96]
12% aka 12 days it didn't rain 

3 0
3 years ago
In a normal distribution, what is the probability that a randomly selected data value will fall within two standard deviations o
Zepler [3.9K]
The answer is 95%

This is something you should memorize. Specifically it is from the Empirical Rule (or 68-95-99.7 rule) which gives rough approximations of areas under the curve. 
5 0
3 years ago
Other questions:
  • A teacher is evaluating how students in her first class did on an assessment versus her last class. The box plots show the resul
    6·1 answer
  • I attached my question
    8·1 answer
  • What function equation is represented by the graph?
    7·1 answer
  • Between what two whole numbers does your answer lie
    14·2 answers
  • What is 584+106<br> plz help some math i’m so tired
    6·2 answers
  • {(y=7x+6),(4x-3y=16):}
    6·2 answers
  • 4 movie ticlet cost $35 = ? dollars per ticket
    12·1 answer
  • A student measures the air pressure inside her bicycle tires before and after she goes on a long bicycle ride. What will she mos
    7·2 answers
  • Given the figure below, which statement correctly completes the following? ABE and HCD are what type of angles
    9·1 answer
  • Use substitution to solve the system of equations.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!