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
Yuki888 [10]
3 years ago
7

molly school is selling tickets to the fall musical. on the first day of the ticket sales the school sold 13 adults tickets and

14 child tickets for the total of $351. The school took in $117 on the second day by selling 2 adult tickets and 7 child tickets. What is the price of each of one adult ticket and one child ticket?
Mathematics
1 answer:
tester [92]3 years ago
3 0

Answer:

Adult Ticket Price = $13

Child Ticket Price = $13

Step-by-step explanation:

Let price of adult ticket be "a" and child ticket be "c"

13 adult and 14 child equals $351, so we can write:

13a + 14c = 351

and

2 adult and 7 child equals $117, thus we can write:

2a + 7c = 117

We multiply 2nd equation by (-2) to get:

-2 * [2a + 7c = 117]

= -4a -14c = -234

Adding botht he "bold" equations, we get:

13a + 14c = 351

-4a -14c = -234

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

9a = 117

a = 117/9 = 13

Now to find b, we use the value of a gotten in the first equation:

13a + 14c = 351

13(13) + 14c = 351

169 + 14c = 351

14c = 182

c = 182/14 = 13

Hence,

<em>Adult Ticket Price = $13</em>

<em>Child Ticket Price = $13</em>

You might be interested in
In the rectangle below, E1=2x -2, FH=3x+6, and m 4IHG =35°.Find Gl and m LIEH
Tpy6a [65]

Recall that the diagonals of a rectangle bisect each other and are congruent, therefore:

\begin{gathered} FH=2EI, \\ GI=EI. \end{gathered}

Substituting the given expression for each segment in the first equation, we get:

3x+6=2(2x-2).

Solving the above equation for x, we get:

\begin{gathered} 3x+6=4x-4, \\ 3x+6+4=4x, \\ 3x+10=4x, \\ 4x-3x=10, \\ x=10. \end{gathered}

Substituting x=10 in the equation for segment EI, we get:

EI=2*10-2=20-2=18.

Therefore:

GI=18.

Now, to determine the measure of angle IEH, we notice that:

\Delta HFG\cong\Delta GEH,

therefore,

\measuredangle GHF\cong\measuredangle HGE.

Using the facts that the triangles are right triangles and that the interior angles of a triangle add up to 180° we get:

m\measuredangle IEH=90^{\circ}-35^{\circ}=55^{\circ}.

<h2>Answer: </h2>\begin{gathered} m\operatorname{\measuredangle}IEH=55^{\operatorname{\circ}}, \\ GI=18. \\  \end{gathered}

4 0
2 years ago
What Are The Points?
solong [7]
-4,-4 - 9,-1 is the answer, i think
7 0
4 years ago
Evelyn has $524.96 in her checking account. She must maintain a $500 balance to avoid a fee. She wrote a check for $32.50 today.
cupoosta [38]

A linear inequality to represent the algebraic expression is given as 492.46 - x ≥ 500

<h3>Linear Inequality</h3>

Linear inequalities are inequalities that involve at least one linear algebraic expression, that is, a polynomial of degree 1 is compared with another algebraic expression of degree less than or equal to 1.

In this problem, her minimum balance must not decrease beyond $500 or she will pay a fee.

where

  • x = withdrawals

The inequality to represent this can be written as

524.96 - 32.50 - x ≥ 500

Simplifying this;

492.46 - x ≥ 500

The linear inequality is 492.46 - x ≥ 500

Learn more on linear inequality here;

brainly.com/question/23093488

#SPJ1

4 0
1 year ago
The sum of two consecutive integers is 75. Find the number
Luba_88 [7]

Divide 75 by 2:

75 / 2 = 37.5

Now you need the whole number below 37.5 and the whole number above 37.5:

37 + 38 = 75

The numbers are 37 and 38

4 0
3 years ago
HOw dO I rUn??????????????????????????????????????????????
Semmy [17]
How do you run???????
7 0
3 years ago
Read 2 more answers
Other questions:
  • In a set of dominoes, each piece is marked with two numbers, one on each end. the pieces are symmetrical so that the two numbers
    5·1 answer
  • A scuba diver is swimming 30 feet below sea level. A hang glider passes over the position of the scuba diver. The hang glider is
    13·2 answers
  • Which of the following is not equal to 3/8? A-0.125 B-0.375 C- 6/16 D-0.3750
    13·2 answers
  • What equation is equivalent to -1/4×+40+5×-3/4×
    8·1 answer
  • A middle school team scored three field goals worth three points each and two touchdowns worth six points with a single extra po
    14·1 answer
  • Given angel theta with cos theta &lt; 0 and sin theta &gt; 0, indicate the quadrant that theta lies in
    7·1 answer
  • Mara and Jonathan each created a sequence of numbers using a rule. Both sequences start with 0 as the first number. Mara’s rule
    14·1 answer
  • I need help can someone tell me how to do this plz
    14·2 answers
  • Which of the following sets of ordered pairs is not a function?
    6·1 answer
  • What is the remainder when 48,240 is divided by 412?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!