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
Solnce55 [7]
3 years ago
6

At the city museum, child admission is $5.40 and adult admission is $9.10. On Monday, three times as many adult tickets as child

tickets were sold, for a total sales of $1079.10 . How many child tickets were sold that day?
Mathematics
1 answer:
denis23 [38]3 years ago
3 0

Answer: 33 child tickets that were sold.

Step-by-step explanation:

Let x represent the number of child tickets that were sold.

Let y represent the number of adult tickets that were sold.

At the city museum, child admission is $5.40 and adult admission is $9.10. A total sales of $1079.10 was made on Monday. This means that

5.4x + 9.1y = 1079.1 - - - - - - - - - -1

On Monday, three times as many adult tickets as child tickets were sold. This means that

y = 3x

Substituting y = 3x into equation 1, it becomes

5.4x + 9.1 × 3x = 1079.1

5.4x + 27.3x = 1079.1

32.7x = 1079.1

x = 1079.1/32.7

x = 33

y = 3x = 3 × 33

y = 99

You might be interested in
Find the product of the complex numbers (-5+ 8i) and (3 - 8i)
Liula [17]

Answer: 49+64i

Step-by-step explanation:

Concept to know:

i=√-1

i²=-1

i³=-i

i^{4}=1

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

 (-5+8i)(3-8i)

=-15+40i+24i-64i²

=-15+64i-64i²

=-15+64i+64  (remember, i²=-1)

=49+64i

Hope this helps!! :)

Please let me know if you have any question or need further explanation

7 0
3 years ago
Finding a polynomial of a given degree with given zeros
galben [10]

Since f(x) is a polynomial with 3rd degree, then it will have 3 roots (zeroes)

One of them is real and the other two are complex conjugate roots

Since the real root is 4, then

x = 4

Since the complex root is (1 - i), then

The other root will be the conjugate of it (1 + i)

x = (1 - i)

x = (1 + i)

To find f(x) we will multiply the three factors of it

We can get the factors from the zeroes

x=4

Subtract 4 from both sides

\begin{gathered} x-4=4-4 \\ x-4=0 \end{gathered}

The first factor is (x - 4)

\begin{gathered} x=1-i \\ x-(1-i)=(1-i)-(1-i) \\ x-1+i=0 \end{gathered}

The second factor is (x - 1 + i)

The third factor is (x - 1 - i)

f(x)=(x-4)(x-1+i)(x-1-i)

We will multiply them to find f(x)

\begin{gathered} (x-1+i)(x-1-i)= \\ x^2-x-ix-x+1+i+ix-i-(i^2)= \\ x^2-2x+1-(-1)= \\ x^2-2x+1+1= \\ x^2-2x+2 \end{gathered}

Multiply it by (x - 4)

\begin{gathered} f(x)=(x-4)(x^2-2x+2) \\ f(x)=x^3-2x^2+2x-4x^2+8x-8 \\ f(x)=x^3-6x^2+10x-8 \end{gathered}

The answer is

f(x)=x^3-6x^2+10x-8

5 0
1 year ago
2. Choose the appropriate symbol to make the following statment true. 0.13_0.0872
UNO [17]

Answer:

>

Step-by-step explanation:

4 0
3 years ago
Convert: 100 yards to meters.
daser333 [38]
It is 91.44m i think


6 0
3 years ago
Read 2 more answers
0.36 as a standard form
NemiM [27]

Answer:

<h3>0.36 x 10⁰</h3>

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Mike has 8 feet of rope . How many inches of rope does he have.
    6·2 answers
  • Explain how you can use doubles when multiplying with 4 to find 4x8
    14·1 answer
  • Find the product: −5(−3)(−3)<br> A) −30<br><br> B) −45<br><br> C) 30<br><br> D) 45
    11·2 answers
  • What is the total surface area of a right rectangular prism with a base of 2 cm by 3 cm and a height of 6 cm? A) 13 cm2. B) 72 c
    14·2 answers
  • Can someone please solve this. I got 81
    15·1 answer
  • 37% of what number is 72?
    8·2 answers
  • Check all the answers that represent the same level of precision,
    10·1 answer
  • You have $550 in a savings account that earns 3% simple interest each year. How much will be in your account in 10 years? *
    8·1 answer
  • Giving brainliest for both answers! :&gt;
    8·1 answer
  • I need help please
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!