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
Karo-lina-s [1.5K]
2 years ago
14

An auditorium has 51 seats in the first​ row, 55 seats in the second​ row, 59 seats in the third​ row, and so on. Find the gener

al term of this arithmetic sequence and the number of seats in the twentieth row.
The general term a Subscript nan of this arithmetic sequence is nothing. ​(Simplify your​ answer.)
Mathematics
1 answer:
qaws [65]2 years ago
5 0

Answer:

127 seats

Step-by-step explanation:

r= row               s= seats

s= 47+4r

s= 47+4*20

s= 47+80

s=127  

You might be interested in
An airplane travels about 1,500 Km in a straight line between Toronto and Winnipeg. However, the plane must climb to 10,000 m du
Anna007 [38]

Answer:416

Step-by-step explanation: Based on the given problem above, it requires a trigonometric solution. So here it goes:

The climb distance is:200 * Sec [ArcTan [10/200]] = 10√ 401 km

and the decent distance is:300 * Sec [ArcTan [10/300]] = 10√901 km

So add the given results above with 500 km and this will be the additional distance that plane moves through the air.

The answer would be in the unit meters.

((10√401 +10√901−500)∗1000)=416 meters

Hope this is the answer that you are looking for.

7 0
2 years ago
If (ax+2)(bx+7)=15x2+cx+14 for all values of x, and a+b=8, what are the 2 possible values fo c
dolphi86 [110]

Given:

(ax+2)(bx+7)=15x^2+cx+14

And

a+b=8

Required:

To find the two possible values of c.

Explanation:

Consider

\begin{gathered} (ax+2)(bx+7)=15x^2+cx+14 \\ abx^2+7ax+2bx+14=15x^2+cx+14 \end{gathered}

So

\begin{gathered} ab=15-----(1) \\ 7a+2b=c \end{gathered}

And also given

a+b=8---(2)

Now from (1) and (2), we get

\begin{gathered} a+\frac{15}{a}=8 \\  \\ a^2+15=8a \\  \\ a^2-8a+15=0 \end{gathered}a=3,5

Now put a in (1) we get

\begin{gathered} (3)b=15 \\ b=\frac{15}{3} \\ b=5 \\ OR \\ b=\frac{15}{5} \\ b=3 \end{gathered}

We can interpret that either of a or b are equal to 3 or 5.

When a=3 and b=5, we have

\begin{gathered} c=7(3)+2(5) \\ =21+10 \\ =31 \end{gathered}

When a=5 and b=3, we have

\begin{gathered} c=7(5)+2(3) \\ =35+6 \\ =41 \end{gathered}

Final Answer:

The option D is correct.

31 and 41

8 0
1 year ago
8/5 ( 2x + 13 ) - 3 = 22
Alona [7]

Answer:

x =  \frac{21}{16} = 1 5/16

[/tex] 1 \frac{5}{16}[/tex]

Step-by-step explanation:

\frac{8}{5} (2x + 13) - 3 = 22

Expand

\frac{16}{5} x +  \frac{104}{5}  - 3 = 22 \\  \frac{16}{5} x +  \frac{89}{5}  = 2

Collect like terms and simplify

\frac{16}{5} x = 22 -  \frac{89}{5}  \\  \frac{16}{5} x =  \frac{21}{5}

Cross Multiply

80x = 105

Divide both sides of the equation by 80

\frac{80x}{80}  =  \frac{105}{80}  \\ x =  \frac{21}{16}

5 0
3 years ago
Como faz esta conta 6-4x=-20-10x
yulyashka [42]
6-4x=20-10x, 2+20=-10x+4x, x=26/-6
4 0
3 years ago
Read 2 more answers
HELP
omeli [17]
Hm, By the math I did i would have to say the answer is B - $12,265.40. Hope I helped a bit!
6 0
3 years ago
Read 2 more answers
Other questions:
  • What is 28- 12.5% decrease???
    9·1 answer
  • Given the function f(x) = –5|x + 1| + 3, for what values of x is f(x) = –12?
    14·1 answer
  • Suppose a standard twelve-hour clock now shows a time of 10:45 what time will the clock show in a 100 hour from now
    6·2 answers
  • I would really appreciate help
    15·1 answer
  • A set of middle school student heights are normally distributed with a mean of 150 centimeters and a standard deviation of 20 ce
    12·1 answer
  • A store is having a sale where movies are 15% off their original price a movie is sale for $22.10 what was the original price of
    14·1 answer
  • What is the remaining number in a percent problem called
    14·1 answer
  • I’m not sure what the answer is
    9·1 answer
  • Lauren says that -3.5 is greater than -3 1/3. Do you agree? Explain.
    7·1 answer
  • Pre-Calc: Find all the zeros of the function.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!