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vitfil [10]
2 years ago
9

6. Peggy Carter is selling tickets to see Captain America. On the first night she sold 12 adult tickets and 11 student tickets f

or $301 dollars. One the second night she made $134 selling 6 adult tickets and 4 student tickets. What is the price of the student tickets
Mathematics
1 answer:
Nataliya [291]2 years ago
6 0

Answer:

student ticket = $11

(adult ticket = $15)

Step-by-step explanation:

Let a = price of adult ticket

Let s = price of student ticket

Given:

  • On the first night she sold 12 adult tickets and 11 student tickets for $301 dollars

⇒ 12a + 11s = 301

Given:

  • On the second night she made $134 selling 6 adult tickets and 4 student tickets

⇒ 6a + 4s = 134

Multiply 6a + 4s + 134 by 2 then subtract from 12a + 11s = 301 to eliminate a:

⇒ (6a + 4s = 134) × 2:  12a + 8s = 268

  12a + 11s = 301

- (12a + 8s = 268)

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

            3s = 33

     

⇒ s = 33 ÷ 3 = 11

Substitute found value of s into one of the equations and solve for a:

⇒ 12a + 11(11) = 301

⇒ 12a + 121 = 301

⇒ 12a = 180

⇒ a = 15

Therefore, the price of an adult ticket is $15 and the price of a student ticket is $11

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4 years ago
If one-sixth of a number plus one-third returns two-thirds of that number What is the number
Solnce55 [7]

Answer:

x= \frac{2}{3}

Step-by-step explanation:

Let the number be x

Given

\frac{1}{6}x + \frac{1}{3} = \frac{2}{3}x

Required

Find x

\frac{1}{6}x + \frac{1}{3} = \frac{2}{3}x

Collect Like Terms

\frac{1}{6}x -  \frac{2}{3}x = - \frac{1}{3}

Take LCM

\frac{1 - 4}{6}x = \frac{-1}{3}

\frac{- 3}{6}x = \frac{-1}{3}

Multiply both sides by 6

6 * \frac{- 3}{6}x = \frac{-1}{3} * 6

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\frac{-3x}{-3}= \frac{-2}{-3}

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Hence, the number is \frac{2}{3}

7 0
4 years ago
How many ways are there to assign six jobs to five different employees if every employee is assigned at least one job?
NARA [144]

Answer:

There are 1800 different ways.

Step-by-step explanation:

A permutation give as the total ways in which we can organized a group of elements where the order is important. So, the  permutation of n elements when all of them are not different is calculate as:

\frac{n!}{n1!n2!...nk!}

Where k is the number of elements that are different, n1, n2, ... nk are the number of times that very element appears and n is equal to n1+n2+...nk.

In this case we have 5 differents and general ways to assign six jobs to five different employees:

1. the first employee receive 2 jobs

2. the second employee receive 2 jobs

3. the third employee receive 2 jobs

4. the fourth employee receive 2 jobs

5. the fifth employee receive 2 jobs

Then, if the first employe receive 2 jobs, its mean that we have six people to permutate and the first person appears two times.

So the permutation of this 6 element in which one is repeat 2 times is calculate as:

\frac{6!}{2!*1!*1!*1!*1!*1!}=360

Therefore, there are 360 ways to organized five different employees into 6 jobs where the first person can receive two jobs.

For the other 4 options we can made the same calculation, so the total number of ways that we can organized five employees in six jobs are calculate as:

360*5=1800

Finally there are 1800 different ways.

3 0
3 years ago
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jolli1 [7]
Slope intercept form is y = mx + b, where m is the slope. 5 is greater than 2 so that’s why y = 5x + 1 has a greater slope than y = /x + 5
5 0
3 years ago
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