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
Reil [10]
1 year ago
9

Ritchie got a job at the movie theater. On the first day, he sold 5 adult tickets and 7 children tickets for a total of 104. On

the second day he sold 7 adult tickets and 3 children tickets for a total of 98. What is the price for each ticket?
Mathematics
2 answers:
g100num [7]1 year ago
6 0

Answer:

  • adult: $11
  • children: $7

Step-by-step explanation:

The sales on the two days can be expressed using equations that can be solved for ticket prices.

<h3>Setup</h3>

Let x and y represent the prices of adult and children's tickets, respectively. Then the sales revenue for the two days can be expressed in the equations ...

  • 5x +7y = 104
  • 7x +3y = 98

<h3>Solution</h3>

One of the easiest solution methods is to use a graphing calculator. The first attachment shows the prices are $11 for an adult ticket; $7 for children tickets.

Using the matrix functions of a calculator, the augmented matrix of the equation coefficients can be reduced to row-echelon form. This, too, shows the solution to be (adult price, children price) = ($11, $7). See the second attachment. (The solution is the right-most column of the reduced matrix.)

Yet another solution method can use the coefficients from the equations written in general form:

  • 5x +7y -104 = 0
  • 7x +3y -98 = 0

In this form, we define three products of "cross multiplication":

  Δ1 = (5)(3) -(7)(7) = -34

  Δ2 = (7)(-98) -(3)(-104) = -374

  Δ3 = (-104)(7) -(-98)(5) = -238

Using those, we find the variable values to be ...

  x = Δ2/Δ1 = -374/-34 = 11

  y = Δ3/Δ1 = -238/-34 = 7

(adult price, children price) = ($11, $7)

__

You can read more about the cross-multiplication method here:

brainly.com/question/26397343

BigorU [14]1 year ago
3 0

Answer:

A = $11; C = $7 tickets

Step-by-step explanation:

Using the given info, we can create a system of equations to find the price of adult and children tickets.

Thus, we have 5A + 7C = 104 and 7A + 3C = 98

The easiest method to solve would be elimination:

You might be interested in
2
Contact [7]
Answer is C
Each additional year of
6 0
2 years ago
Lin runs 12 laps around a track in 15 minutes.
nalin [4]

Answer:

1.25

Step-by-step explanation:

15/12

5 0
3 years ago
A bean plant grows at a constant rate for a month. After 10 days, the plant is
777dan777 [17]

Answer:

B. y - 35 = 2(x - 10)

Step-by-step explanation:

The height of the plant, y, after x days could be modeled by the equation

<h3>y-y0=k(x-xo)     (1),</h3><h3>where y0 was the initial height at 'x0'th. day, and k is the constant of proportionality.</h3><h3>From equation (1), k could be evaluated as follows:</h3><h3>k=(y-y0)/(x-x0) </h3><h3>From the problem statement, we may determine k by plugging in the given values, e.g. y0= 35, x0=10, y=55, x=20.</h3><h3>Thus,</h3><h3>k=(55-35)/(20-10)=2</h3><h3>Therefore, the model equation becomes</h3><h3>y-35=2(x-10)</h3><h3></h3>

6 0
3 years ago
(3, 4) was dilated to become point X' (12, 16). What was the<br> scale factor?
tensa zangetsu [6.8K]

Step one: correspond x values and y values together

         it would be: 3, 12   and    4, 16

Step two: divide

12/3 = 4         and     16/4 = 4

both numbers = 4

scale factor is 4

6 0
2 years ago
Enrique can spend at most $2240 to renovate his home. One roll of wallpaper costs $32, and one can of paint costs $28. He needs
umka2103 [35]

The possible solution is having 30 rolls of wallpaper and 20 can of paints or 30 rolls of wallpaper with 46 can of paint.

<h3>Inequality</h3>

Inequality is the non equal comparison of two or more numbers and variables.

Let x represent the number of wallpapers and y represent the number of cans.

He needs at least 30 rolls of wallpaper and at least 20 cans of paint. Hence:

x ≥ 30   (1);

y ≥ 20    (2)

Also:

32x + 28y ≤ 2240    (3)

Plotting the 3 equations using geogebra online graphing tool, the possible solution is:

(30, 20), (30, 46)

The possible solution is having 30 rolls of wallpaper and 20 can of paints or 30 rolls of wallpaper with 46 can of paint.

Find out more on Inequality at: brainly.com/question/24372553

6 0
2 years ago
Other questions:
  • PLEASE HELP!
    14·1 answer
  • How do you find the area of a rectangle
    9·2 answers
  • Misty has 36 pairs of shoes arranged on a number of shelves
    7·1 answer
  • HELPHELPHELPHELPHELP PLZ GOD Find the area of a square with sides of length 1/3 yard.
    5·1 answer
  • WILL GIVE BRAINLIEST: Which function has a removable discontinuity?
    5·1 answer
  • My girl friends face <br> whats 7x7
    15·2 answers
  • I BET NO ONE CAN GET THIS QUESTION RIGHT! WHOEVER CAN EXPLAIN IT AND GET IT RIGHT WILL GET BRAINLIEST.
    9·1 answer
  • A car bought for $13,000 depreciates at 15% per year. Use an exponential function to find the value of the car after 5 years.
    14·1 answer
  • Adana has 4 skirts, 3 blouses, and
    10·2 answers
  • What is the greatest common monomial factor of _________ ?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!