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
IceJOKER [234]
2 years ago
12

12) The school that Danielle goes to is selling tickets to a choral performance. On the first day of

Mathematics
1 answer:
zmey [24]2 years ago
3 0

Answer:

Senior citizen tickets = $9

Student tickets = $11

Step-by-step explanation:

We begin by converting these into simultaneous linear equation;

Senior citizen tickets = a

Student tickets = b

5a + 9b = 144

14a + 6b = 192

5a = 144 - 9b

a = 144/5 - 9b/5

a = 28.8 - 1.8b

We now substitute this into the first equation

14(28.8 - 1.8b) + 6b = 192

403.2 - 25.2b +6b = 192

-19.2b = 192 - 403.2

b = -211.2/-19.2

b = 11

Put the value of b into either equation

5a + 9b = 144

5a + 9(11) = 144

5a +99 = 144

5a = 144-99

5a = 45

a = 9

You might be interested in
The Gotemba walking trail up Mount Fuji is about 9 kilometres (km) long. Walkers need to return from the 18 km walk by 8 pm. Tos
worty [1.4K]

Answer:

He must start his journey by 11 AM

Step-by-step explanation:

Speed of Toshi while walking up the mountains is 1.5 kilometres per hour

Speed of Toshi while walking down  the mountains = 2 * Speed of Toshi while walking up the mountains = 3 kilometres per hour

Time taken to travel 9 Km in the upward direction by Toshi = 9 Km/1.5 kilometres per hour = 6 hours

Time taken to travel 9 Km in the downward direction by Toshi = 9 Km/3 kilometres per hour = 3 hours

He will take total 6 hours + 3 hours = 9 hours to travel 18 Km distance

Thus, He must start his journey by 11 AM

3 0
3 years ago
Find the area.. of the figure below...
RoseWind [281]

Answer:

14

Step-by-step explanation:

rectangle 8

triangle 6

7 0
2 years ago
Help needed please! *will mark as brainliest if correct
Svet_ta [14]
2 gophers per day are getting removed
6 0
3 years ago
The daily cost of producing x high performance wheels for racing is given by the following​ function, where no more than 100 whe
algol [13]

Answer:

The production would be 25 wheels,

Lowest average cost is $ 123.75

Step-by-step explanation:

Given cost function,

C(x) = 0.09x^3 - 4.5x^2 + 180x

Where,

x = number of wheel,

So, the average cost per wheel,

A(x) = \frac{C(x)}{x}=\frac{0.09x^3-4.5x^2 + 180x}{x}=0.09x^2 - 4.5x + 180

Differentiating with respect to x,

A'(x) = 0.18x - 4.5

Again differentiating with respect to x,

A''(x) = 0.18

For maxima or minima,

A'(x) = 0

0.18x - 4.5 = 0

0.18x = 4.5

\implies x = \frac{4.5}{0.18}=25

For x = 25, A''(x) = positive,

i.e. A(x) is maximum at x = 25.

Hence, the production would be 25 wheels for the lowest average cost per​ wheel.

And, lowest average cost,

A(x) = 0.09(25)² - 4.5(25) + 180 = $ 123.75

5 0
3 years ago
Drftgyhujkilertyudfghjkrtyuertyuiowertyuiowertyuiop[<br>dfghjkl.;<br>f
ivolga24 [154]
Uhm is this a question orrrrrr
5 0
2 years ago
Read 2 more answers
Other questions:
  • Two factors of 24 add up to 11 what are they
    10·1 answer
  • In a flock of black and white sheep. 2 out of five sheep are white. ifnthere are eiht more black sheep than white sheep, how man
    14·1 answer
  • ASAP easy for anyone part 4
    14·1 answer
  • 38. Calculate the value of c in the triangle below.
    10·2 answers
  • <img src="https://tex.z-dn.net/?f=%283x3%29%2B%283x5%29-%282x-2%29" id="TexFormula1" title="(3x3)+(3x5)-(2x-2)" alt="(3x3)+(3x5)
    14·2 answers
  • A cell phone is on sale for 30% off. If the sale price is $239.89, what is the original price? Write an equation and solve to fi
    5·1 answer
  • Find the value of X. Show work!!!
    8·1 answer
  • What type of association is shown in the following scatter plot?
    9·1 answer
  • Can someone help please? What point does M represent?
    15·1 answer
  • A rectangular box with a square base and no top is to have a volume of 108
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!