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
Pavlova-9 [17]
3 years ago
12

You and your friend are selling tickets to a charity event. you sell 12 adult tickets and 6 student tickets for $138. your frien

d sells 5 adult tickets and 11 student tickets for $100. what is the cost of a student ticket
Mathematics
1 answer:
mr Goodwill [35]3 years ago
6 0
Let's say the cost of student tickets is x and the cost of adult tickets is y. Then:

(1) 12y + 6x = 138
(2) 5y + 11x = 100

If we rearrange equation (1) we get:
12y = 138 - 6x
Now divide each side by 12:
y = 11.5 - 0.5x

We can now substitute this into equation (2):

5(11.5 - 0.5x) + 11x = 100
57.5 - 2.5x + 11x = 100
8.5x = 42.5
x = 5, therefor the cost of a student ticket is $5.00
You might be interested in
X/5 = 2 1/2<br><br> Fraction <br> Have to find x
nadya68 [22]

Answer:

x=12.5

Step-by-step explanation:

x=2 1/2 times 5

x=12.5

3 0
3 years ago
If 2k, 5k-1 and 6k+2 are the first 3 terms of an arithmetic sequence, find k and the 8th term​
Klio2033 [76]

Answer:

see explanation

Step-by-step explanation:

The common difference d of an arithmetic sequence is

d = a_{2} - a_{1} = a_{3} - a_{2}

Substitute in values and solve for k, that is

5k - 1 - 2k = 6k + 2 - (5k - 1)

3k - 1 = 6k + 2 - 5k + 1

3k - 1 = k + 3 ( subtract k from both sides )

2k - 1 = 3 ( add 1 to both sides )

2k = 4 ⇒ k = 2

--------------------------------------------------------

The n th term of an arithmetic sequence is

a_{n} = a_{1} + (n - 1)d

a_{1} = 2k = 2 × 2 = 4 and

d = 5k - 1 - 2k = 3k - 1 = (3 × 2) - 1 = 5

Hence

a_{8} = 4 + (7 × 5) = 4 + 35 = 39

4 0
3 years ago
Help ASAP also Pls put explanation along with answer (#7)
uysha [10]
I first think that you need to do 64 squared which is 8 then add the other 8 then you have 16 then do 16 square which equals 4 then I think you do 4 x 3 then add 25 then you get your answer..... hopefully
8 0
3 years ago
What is : 96 x 68.43 ?
enot [183]
96 times 68.43 would be 6569.28, or 6579 7/25
7 0
2 years ago
What is ten million times three thousand
Korvikt [17]
30,000,000,000 beachside Math oof
3 0
3 years ago
Read 2 more answers
Other questions:
  • Can someone explain how to do these questions or show me how?
    5·1 answer
  • Express 4 8\9 as an improper fraction
    8·2 answers
  • How do I factor this polynomial by grouping?<br> 2x^2 - 13x + 20
    15·2 answers
  • Can you put 0.81,0.808,7/8/,and 4/5 from greatest to least
    7·2 answers
  • Find the slope of y-2=4(x-10)
    7·1 answer
  • Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8.
    6·1 answer
  • A hexagon can be divided into how many triangles by drawing all of the diagonals from one vertex?
    6·2 answers
  • A stick is x meters long. a string is 4 times as long as the stick.
    14·2 answers
  • A store sells 24 greeting cards for $12.
    5·1 answer
  • GIVING BRAINLIEST FOR BEST ANSWER!
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!