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
cupoosta [38]
3 years ago
11

Can you explain how to do 13 please

Mathematics
1 answer:
Zigmanuir [339]3 years ago
3 0
I must confess that I was about to pass this question by, but I was captured by the respectful and dignified way in which you asked for help. 

A careful reading of the problem gives you two equations in two unknowns, which you can then solve as simultaneous equations.  Here's how it looks:

Call 'C' the price of the senior <u>C</u>itizen ticket.
Call 'S' the price of the <u>S</u>tudent ticket.

On the first night . . .    10 C  +  12 S  =  208

On the second night . . .  8C  +  3 S  =  74

Those are your two simultaneous equations. Now the idea is to multiply or divide each side of one equation in such a way that when you add or subtract it from the other equation, one of the variables will become a zero quantity ...  you'll be left with an equation in one variable, which you can easily solve. THEN, knowing the value of one variable, you can put it back into one of the original equations,and find the value of the other variable.

This all sounds more complicated than it is.   Here's how it goes:
We have . . .

10 C  +  12 S  =  208  and
8C  +  3 S  =  74

I'm going to multiply each side of the second equation by  4, and then write it under the first one:

10 C  +  12 S  =  208
32 C  +  12 S  =  296

Now, subtract the lower equation from the upper one, and you get . . .

- 22 C  +  0  =   - 88

Divide each side of this one by  -22  and you have    <em>C = $4.00</em> .

THAT's what you need, to blow the whole problem wide open.  Knowing
the value of 'C', let's substitute it into the equation for the first night:

10 C  +  12 S  =  208

10(4)  +  12 S  =  208

40  +  12 S  =  208

Subtract  40  from each side :    12 S  =  168

Divide each side by  12 :    <em>S  =</em><em>  $ 14.00 </em>.

Finally, as we look over our results, and see that Students have to pay  $14  to see the show but Seniors can get in for only  $4 , we reflect on this ... or at least I do ... and realize that getting old is not necessarily all bad.
You might be interested in
You bought a two liter container of cooking oil for $2.50. What is the cost per liter?
bearhunter [10]

Answer:

$1.25

Step-by-step explanation:

$2.50 / 2 = $1.25 per liter

4 0
3 years ago
Read 2 more answers
A ball is thrown in the air from a height of 3 m with an initial velocity of 12 m/s. To the nearest tenth of a second, how long
wel

Answer: 0.3m/s

Step-by-step explanation:

Height/ velocity

3m/12m per sec

Time= 0.25metres per seconds

To the nearest tenth, 0.3m per seconds

5 0
3 years ago
Please help! <br> Express 35 marks out of 40 as a percentage.
Blizzard [7]

Answer:

\huge\boxed{\sf 87.5 \ \%}

Step-by-step explanation:

35 marks out of 40<u> as a fraction:</u>

35 / 40

<u>As a percentage:</u>

<u></u>\sf \frac{35}{40} * 100 \ \%\\\\0.875 * 100 \ \%\\\\87.5 \ \%\\\\\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
7 0
3 years ago
Drag a graph to each category based on the slope of the graph. IM GIVING YOU 26 POINTS HERE PEOPLE!!!!
ExtremeBDS [4]

Answer:

The first picture goes with the second sentence.

The second picture goes with the first sentence.

The third picture goes with the third sentence.

The fourth picture goes with the fourth sentence.

Step-by-step explanation:

8 0
3 years ago
The sum of two numbers is eighteen. The total of three times the smaller and twice the larger is forty-four. Find the two number
sashaice [31]

Answer:

  • The numbers are 8 and 10.

Step-by-step explanation:

Let the numbers be x and y.

The sum of two numbers is eighteen:

  • x + y = 18

The total of three times the smaller and twice the larger is forty-four:

  • 3x + 2y = 44

Solve the system by substitution:

  • x = 18 - y

Substitute x and solve for y:

  • 3(18 - y) + 2y = 44
  • 54- 3y + 2y = 44
  • 54 - y = 44
  • y = 54 - 44
  • y = 10

Find x:

  • x = 18 - 10
  • x = 8
6 0
2 years ago
Other questions:
  • What number is 100 times larger than 4.8?
    6·2 answers
  • The blank of a number says how many times to use that number ia a multiplication
    14·1 answer
  • Best deal?2oz for 4.99 or 6oz for 9.85
    15·1 answer
  • It's a math riddle
    10·2 answers
  • Students in band are selling oranges and grapefruit to earn money for a trip. Mrs.Whitten purchased three boxes of oranges and t
    10·1 answer
  • Harry’s team has won 13 less than 6 times as many games as it has lost. The team lost n games. Which expression could you use to
    5·1 answer
  • A, B and C are points on a circle with a diameter AB
    8·1 answer
  • Can someone pleaseeee help if you’re correct I’ll give u brainlist
    9·1 answer
  • What is the slope of a line that is perpendicular to the line<br> whose equation is y = 4x + 1?
    6·2 answers
  • please help me with this question i think someone else answered and they misread or didnt understand the question so i am repost
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!