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
James had a peach that was 98 mm in diameter. One day he watered it with a magical solution, and it grew to 188,869 mm
svp [43]

To determine how many times larger the peach got, you will divide the new diameter by the original diameter length.

188869/98 = 1927.2

 

The new diameter is approximately 1927 times longer.

To convert this to scientific notation, move the decimal point from the end (on the right) to between the 1 and the 9 to get 1.927.

Then count the number of decimal places you moved to get there, because this represents how many groups of 10 you adjusted your place value by and then becomes your exponent in scientific notation.

1.927 x 10^3 times is the answer in scientific notation.

4 0
3 years ago
(BEGINNER LEVEL, Picture provided) Use the line of best fit to predict the total amount of money earned in tips after working 12
Anni [7]
It is 110

Slope of the line is 10x So you will earn 110$ in 12 hours.
6 0
2 years ago
Read 2 more answers
a veterinarian purchases some medication for $19.50 and wants to make a $2 profit. what is the percent markup on this medication
MaRussiya [10]
11%

I multiplied the price by percentages up until I got a little over 2.
8 0
3 years ago
A community theater sells about 150 tickets to a play each week when it charges $20 per ticket.
Marta_Voda [28]

Answer:

  • r = 12.5p(32 -p)
  • $16 per ticket
  • $3200 maximum revenue

Step-by-step explanation:

The number of tickets sold (q) at some price p is apparently ...

  q = 150 + 25(20 -p)/2 = 150 +250 -12.5p

  q = 12.5(32 -p)

The revenue is the product of the price and the number of tickets sold:

  r = pq

  r = 12.5p(32 -p) . . . . revenue equation

__

The maximum of revenue will be on the line of symmetry of this quadratic function, which is halfway between the zeros at p=0 and p=32. Revenue will be maximized when ...

  p = (0 +32)/2 = 16

The theater should charge $16 per ticket.

__

Maximum revenue will be found by using the above revenue function with p=16.

  r = 12.5(16)(32 -16) = $3200 . . . . maximum revenue

_____

<em>Additional comment</em>

The number of tickets sold at $16 will be ...

  q = 12.5(32 -16) = 200

It might also be noted that if there are variable costs involved, maximum revenue may not correspond to maximum profit.

5 0
2 years ago
What is the value of -2.12 - 6.84 + 4.19?
hodyreva [135]

Answer:

Try 8.91

Step-by-step explanation:

6.84+4.19=11.03-2.12=8.91

8 0
2 years ago
Other questions:
  • If SPSS output tells you that Sig. = .65, this means: a) There is a 65% probability the null hypothesis is true. b) There is a 6
    11·1 answer
  • 3× - 4y =65 when u =4
    14·2 answers
  • How I do this need help plzz
    12·1 answer
  • Ann wants to choose from two telephone plans. Plan A involves a fixed charge of $10 per month and call charges at $0.10 per minu
    9·1 answer
  • Round to the nearest whole number 61.35634
    7·1 answer
  • Twenty-nine percent of americans say they are confident that passenger trips to the moon will occur in their lifetime. You rando
    10·1 answer
  • What does g equal if <br> -g - 9 = -10g
    10·2 answers
  • Which of the following statements about rational numbers is not correct? А All whole numbers are also rational numbers. B All ra
    8·1 answer
  • triangle has an area of 230.86 square inches. The height of the triangle is 23.8 inches. What is the length of the base of the t
    7·1 answer
  • What is the first step when rewriting y = 6x2 18x 14 in the form y = a(x – h)2 k?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!