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
Mariana [72]
3 years ago
10

At the theater, the Garcia family bought 2 adult tickets and 3 children's tickets for $44.50. The Smith family bought 3 adult ti

ckets and 6 children's tickets for $78. Find the price of an adult ticket and the price of a children's ticket.
Mathematics
2 answers:
kondaur [170]3 years ago
6 0

Answer:

Adult= $11

Children = $7.5

Step-by-step explanation:

Let x represent adult ticket and y represent children ticket

2x + 3y= 44.50........equation 1

3x + 6y= 78........equation 2

From equation 1

2x + 3y= 44.50

2x= 44.50-3y

x= 44.50-3y/2

Substitute 44.50-3y/2 for x in equation 2

3x+ 6y= 78

3(44.50-3y/2) + 6y= 78

66.75- 4.5y +6y= 78

66.75 + 1.5y= 78

1.5y= 78-66.75

1.5y= 11.25

y= 11.25/1.5

y = 7.5

Substitute 7.5 for y in equation 1

2x + 3y = 44.50

2x + 3(7.5)= 44.50

2x + 22.5= 44.50

2x = 44.50-22.5

2x= 22

x= 22/2

x= 11

Hence the price of adult ticket is $11 and the price of children ticket is $7.5

kogti [31]3 years ago
3 0

Answer:

Answer:

Adult= $11

Children = $7.5

Step-by-step explanation:

Let x represent adult ticket and y represent children ticket

2x + 3y= 44.50........equation 1

3x + 6y= 78........equation 2

From equation 1

2x + 3y= 44.50

2x= 44.50-3y

x= 44.50-3y/2

Substitute 44.50-3y/2 for x in equation 2

3x+ 6y= 78

3(44.50-3y/2) + 6y= 78

66.75- 4.5y +6y= 78

66.75 + 1.5y= 78

1.5y= 78-66.75

1.5y= 11.25

y= 11.25/1.5

y = 7.5

Substitute 7.5 for y in equation 1

2x + 3y = 44.50

2x + 3(7.5)= 44.50

2x + 22.5= 44.50

2x = 44.50-22.5

2x= 22

x= 22/2

x= 11

Hence the price of adult ticket is $11 and the price of children ticket is $7.5

Step-by-step explanation:

You might be interested in
Sinister Stan stole 3 3/4 oz of slime from Messy Molly, but his evil plans require 6 3/8 oz of slime. He stole another 2 3/5 oz
rusak2 [61]

Answer: 1/40

Step-by-step explanation:

Since we are told that Sinister Stan stole 3 3/4 oz of slime from Messy Molly and stole another 2 3/5 oz of slime from Rude Ralph. The total oz of slime stole would be:

= 3 3/4 + 2 3/5

= 3 15/20 + 2 12/20

= 5 27/20

= 6 7/20

We are told that his evil plans require 6 3/8 oz of slime, the amount needed for Sinister Stan for his evil plan would be:

= 6 3/8 - 6 7/20

= 6 30/80 - 6 28/80

= 2/80

= 1/40

6 0
3 years ago
Another question i will give brainlilest!
Strike441 [17]

Answer:

2π

Step-by-step explanation:

Area = πr^2

        = π2^2

        = 4π

4π is the area of the whole circle, so divide it in half to get the semicircle.

        <u>= 2π</u>

5 0
3 years ago
Jeremiah has to spend $40 to buy candy. He then sold candy for $1.50 per piece. If Jeremiah was able to sell 60 pieces of the ca
Nadya [2.5K]

Answer:

He made $50

Step-by-step explanation:

1.5 times 60 equals 90, but seeing how he spent $40 to buy the candy he only ends up with $50 in profits

7 0
3 years ago
4 consecutive numbers that add up to 8
Digiron [165]

Answer:

The answer top your question is: 1/2, 3/2, 5/2 and 7/2

Step-by-step explanation:

Data

4 consecutive numbers that add up to 8

First number = n

2nd number = n + 1

3rd number = n + 2

4th number = n + 3

Now, add them up           n + n + 1 + n + 2 + n + 3 = 8        

                                                                                          Simplify like terms

                                         4n + 6 = 8

                                         4n = 8 - 6

                                         4n = 2

                                         n = 2/4 = 1/2

First number = n         = 1/2

2nd number = n + 1    = 1/2 + 1 = 3/2

3rd number = n + 2    = 1/2 + 2 = 5/2

4th number = n + 3    = 1/2 + 3 = 7/2

8 0
3 years ago
The travel-to-work time for residents in Ventura County is unknown. Assume the population variance is 39. How large should a sam
katen-ka-za [31]

Answer:

A sample size of 128 is needed.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.93}{2} = 0.035

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.035 = 0.965, so z = 1.81

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population(square root of the variance) and n is the size of the sample.

How large should a sample be if the margin of error is 1 minute for a 93% confidence interval

We need a sample size of n, which is found when M = 1. We have that \sigma = \sqrt{39}. So

M = z*\frac{\sigma}{\sqrt{n}}

1 = 1.81*\frac{\sqrt{39}}{\sqrt{n}}

\sqrt{n} = 1.81\sqrt{39}

(\sqrt{n})^2 = (1.81\sqrt{39})^2

n = 127.8

Rounding up

A sample size of 128 is needed.

7 0
3 years ago
Other questions:
  • Which equation can be used to find the volume of this solid? ​
    6·2 answers
  • Help please! detailed would be great!
    6·1 answer
  • John is selling tickets to an event. Attendees can either buy a general admission ticket, x,
    15·1 answer
  • Which of the following represents the factorization of the trinomial below?
    5·2 answers
  • All you need is on the picture
    8·1 answer
  • If 2 divided by 2 is 1 what is 1 divided by 1?
    12·2 answers
  • Please help ill rate you 5 and follow yoy and like maybe even brainlist!
    7·1 answer
  • PLEASE ANSWER FAST
    12·2 answers
  • The greater of two consecutive even integers is 20 more than twice the smaller. find the integers
    7·1 answer
  • Number 11 and 12. Solve for x and y. Please and thank you.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!