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Natalija [7]
2 years ago
10

A total of 937 people attend the play. Admission was $2.00 for adults and $0.75 for students. The totral ticket sales amounted t

o $1,109. How many students and adults attended the school play? - Applying Linear Systems in the Real World
Mathematics
1 answer:
a_sh-v [17]2 years ago
6 0

Answer:

x = students

y = adults

Linear Systems of Equations :

x + y = 937

0.75x + 2y = 1,109

Step-by-step explanation:

Step 1 : eliminate one of the variables

x + y = 937

0.75x + 2y = 1,109

-2(x + y = 937) = -2x - 2y = -1874

-2x - 2y = -1874

0.75x + 2y = 1109

We can eliminate y since -2y + 2y = 0

Step 2: Find x number of students.

-2x = -1874

+0.75x = 1109

____________

-1.25x = -765

____________ = 612 students attended

     -1.25

937 - 612 = 325 adults

Check Answer :

612 x 0.75 = $459

325 x 2 = $650

$650 + $459 = $1,109

Therefore, there will be 612 students attending and 325 adults.

You might be interested in
What is three eights plus one eight
kramer

Answer:

3/8 + 1/8

Step-by-step explanation:

so you just need to add the both firsnumber which is 3 and 1 is equal to 4 and second is you add the both second number whick is 8 and 8 is equal to 16 now that you got all the numbers needed to complete the fraction just put the 4 in the top and pu the slach or / and put the 16 in the bottom

Exact Answer:<em>4</em><em>/</em><em>1</em><em>6</em>

6 0
3 years ago
Help me plz I don’t understand it
juin [17]

Answer:

x = 11

Step-by-step explanation:

By intersecting chords theorem:

27(x + 5) = 24(x + 7) \\ 27x + 135 = 24x + 168 \\ 27x - 24x = 168 - 135 \\ 3x = 33 \\  x =  \frac{33}{3}  \\ x = 11

4 0
2 years ago
You are given the following sequence:
borishaifa [10]
<h2>                     Question No 1</h2>

Answer:

7.5 is the 4th term of the sequence 60, 30, 15, 7.5, ... .

In other words:   \boxed{a_4=7.5}

Step-by-step explanation:

Considering the sequence

60, 30, 15, 7.5, ...

As we know that a sequence is said to be a list of numbers or objects in a special order.

so

60, 30, 15, 7.5, ...  

is a sequence starting at 60 and decreasing by half each time. Here, 60 is the first term, 30 is the second term, 15 is the 3rd term and 7.5 is the fourth term.

In other words,

a_1=60,

\:a_2=30,

a_3=15, and

a_4=7.5

Therefore, 7.5 is the 4th term of the sequence 60, 30, 15, 7.5, ... .

In other words:   \boxed{a_4=7.5}

<h2>                       Question # 2</h2>

Answer:

The value of a subscript 5 is 16.

i.e. When n = 5, then h(5) = 16

Step-by-step explanation:

To determine:

What is the value of a subscript 5?

Information fetching and Solution Steps:

  • Chart with two rows.
  • The first row is labeled n.
  • The second row is labeled h of n. i.e. h(n)
  • The first row contains the numbers three, four, five, and six.
  • The second row contains the numbers four, nine, sixteen, and twenty-five.

Making the data chart

n                  3         4         5         6

h(n)               4         9         16       25

As we can reference a specific term in the sequence by using the subscript. From the table, it is clear that 'n' row represents the input and and 'h(n)' represents the output.

So, when n = 5, the value of subscript 5 corresponds with 16. In other words: When n = 5, then h(5) = 16

Therefore, the value of a subscript 5 is 16.

<h2>                         Question # 3</h2>

Answer:

We determine that the sequence 33, 31, 28, 24, 19, … is neither arithmetic nor geometric.

Step-by-step explanation:

Considering the sequence

33, 31, 28, 24, 19, …

Lets calculate the common difference 'd' to determine if the sequence is Arithmetic or not.

\mathrm{Compute\:the\:differences\:of\:all\:the\:adjacent\:terms}:\quad \:d=a_{n+1}-a_n

d = 31 - 33 = -2

d = 28 - 31 = -3

d = 24 - 28 = -4

d = 19 - 24 = -5

As the common difference 'd' is not constant. It means the sequence is not Arithmetic.

Lets now calculate the common ratio 'r' to determine if the sequence is Geometric or not.

\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{a_n}{a_{n-1}}

\frac{31}{33}=0.93939\dots ,\:\quad \frac{28}{31}=0.90322\dots ,\:\quad \frac{24}{28}=0.85714\dots ,\:\quad \frac{19}{24}=0.79166\dots

The ratio is not constant. It means the sequence is not Geometric.

From the above analysis, we determine that the sequence 33, 31, 28, 24, 19, … is neither arithmetic nor geometric.

<h2>                         Question # 4</h2>

Answer:

We determine that the sequence -99, -96, -92, -87, -81... is neither arithmetic nor geometric.

Step-by-step explanation:

From the description statement:

''negative 99 comma negative 96 comma negative 92 comma negative 87 comma negative 81 comma dot dot dot''.

The statement can be translated algebraically as

-99, -96, -92, -87, -81...

Lets calculate the common difference 'd' to determine if the sequence is Arithmetic or not.

\mathrm{Compute\:the\:differences\:of\:all\:the\:adjacent\:terms}:\quad \:d=a_{n+1}-a_n

-96-\left(-99\right)=3,\:\quad \:-92-\left(-96\right)=4,\:\quad \:-87-\left(-92\right)=5,\:\quad \:-81-\left(-87\right)=6

As the common difference 'd' is not constant. It means the sequence is not Arithmetic.

Lets now calculate the common ratio 'r' to determine if the sequence is Geometric or not.

\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{a_n}{a_{n-1}}

\frac{-96}{-99}=0.96969\dots ,\:\quad \frac{-92}{-96}=0.95833\dots ,\:\quad \frac{-87}{-92}=0.94565\dots ,\:\quad \frac{-81}{-87}=0.93103\dots

The ratio is not constant. It means the sequence is not Geometric.

From the above analysis, we determine that the sequence -99, -96, -92, -87, -81... is neither arithmetic nor geometric.    

<h2>                      Question # 5</h2>

Step-by-step explanation:

Considering the sequence

12, 22, 30, 36, 41, …

\mathrm{Compute\:the\:differences\:of\:all\:the\:adjacent\:terms}:\quad \:d=a_{n+1}-a_n

22-12=10,\:\quad \:30-22=8,\:\quad \:36-30=6,\:\quad \:41-36=5

As the common difference 'd' is not constant. It means the sequence is not Arithmetic.

\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{a_n}{a_{n-1}}

\frac{22}{12}=1.83333\dots ,\:\quad \frac{30}{22}=1.36363\dots ,\:\quad \frac{36}{30}=1.2,\:\quad \frac{41}{36}=1.13888\dots

The ratio is not constant. It means the sequence is not Geometric.

From the above analysis, we determine that the sequence 12, 22, 30, 36, 41, … is neither arithmetic nor geometric.                  

8 0
3 years ago
Write in Standard Form:<br><br> 9a^2 + 5 = 0
Levart [38]

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

It is in standard form!!!

:)

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

4 0
2 years ago
I'm doing homework with a friend and we REALLY need help. What is 650's perfect square if it has one?
creativ13 [48]
It is not a perfect square.
7 0
3 years ago
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