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
steposvetlana [31]
3 years ago
13

The school that Jaidee goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 10

seniors citizen tickets and 11 student for a total of $190. The school took in $160 on the second day by selling 5 senior citizen tickets and 12 student tickets. Find the price of a senior citizen ticket and the price of a student ticket
Mathematics
1 answer:
Olenka [21]3 years ago
5 0

The price of a senior citizen ticket  is $8 and the price of a student ticket is$ 10

Step-by-step explanation:

Let the cost of one  seniors citizen ticket be x and  student  be y

First day:

10 seniors citizen tickets and 11 student for a total of $190.

10x + 11y = 190-----------------------------(1)

Second day:

$160 on the second day by selling 5 senior citizen tickets and 12 student tickets.

5x + 12y = 160---------------------------------(2)

Multiply eq(2) by 2

10x + 24y = 320----------------------------(3)

Subtract eq(1) from (3)

10x + 24y = 320

10x + 11y = 190

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

0x + 13 y =  130

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

13y = 130

y = \frac{130}{13}

y = 10-------------------------------(4)

Substituting (4) in (2)

5x +  12(10) =  160

5x + 120 = 160

5x = 160-120

5x = 40

x = \frac{40}{5}

x = 8

You might be interested in
Helppp please I have a 25 in math
WARRIOR [948]
Answer:
Can’t see anything , everything is blury
4 0
3 years ago
Show with work please.
kolbaska11 [484]

Answer:

$\csc \left(\theta-\frac{\pi }{2}\right)=0.73$

Step-by-step explanation:

The identity you will use is:

$\csc \left(x\right)=\frac{1}{\sin \left(x\right)}$

So,

$\csc \left(\theta-\frac{\pi }{2}\right)$

$\csc \left(\theta-\frac{\pi }{2}\right)=\frac{1}{\sin \left(-\frac{\pi }{2}+\theta\right)}$

Now, using the difference of sin

Note: state that \text{sin}(\alpha\pm \beta)=\text{sin}(\alpha) \text{cos}(\beta) \pm \text{cos}(\alpha) \text{sin}(\beta)

$\csc \left(\theta-\frac{\pi }{2}\right)=\frac{1}{-\cos \left(\theta\right)\sin \left(\frac{\pi }{2}\right)+\cos \left(\frac{\pi }{2}\right)\sin \left(\theta\right)}$

Solving the difference of sin:

$-\cos \left(\theta\right)\sin \left(\frac{\pi }{2}\right)+\cos \left(\frac{\pi }{2}\right)\sin \left(\theta\right)$

-\cos \left(\theta\right) \cdot 1+0\cdot \sin \left(\theta\right)

-\text{cos} \left(\theta\right)

Then,

$\csc \left(\theta-\frac{\pi }{2}\right)=-\frac{1}{\cos \left(\theta\right)}$

Once

\text{sec}(-\theta)=\text{sec}(\theta)

And, \text{sec}(\theta)=-0.73

$-\frac{1}{\cos \left(\theta\right)}=-\text{sec}(\theta)$

$-\frac{1}{\cos \left(\theta\right)}=-(-0.73)$

$-\frac{1}{\cos \left(\theta\right)}=0.73$

Therefore,

$\csc \left(\theta-\frac{\pi }{2}\right)=0.73$

3 0
3 years ago
At the garden shop, each small tree costs $125 and each large tree
sweet-ann [11.9K]

Answer: $600 total .                    

3 0
3 years ago
Rewrite in simplest terms: -8(7y-8)-3(7y-7)
AfilCa [17]

Answer:

−77y+85

I hope I helped!

7 0
3 years ago
PLEASE HELP TUME LIMIT IS 10 MINUTES
Leno4ka [110]

Answer:

similar and congruent

Step-by-step explanation:

those are the only words i know

8 0
3 years ago
Read 2 more answers
Other questions:
  • Help me please don't understand geometry and I have a test tomorrow
    9·1 answer
  • Jamie rides her bike from her apartment to the park and back each Saturday. The distance from her apartment to the park is 7.2 m
    8·1 answer
  • A fisherman catches an average of 6 fish every 2 hours.
    10·1 answer
  • How is the answer 24? Please NEED TO KNOW ❤️ :(
    12·1 answer
  • Given B = {a, l, g, e, b, r} and C = {m, y, t, h}, find B ∪ C. {} {a} {a, b, e, g, h, l, m, r, t, y}
    10·2 answers
  • What is the simplified expression of 4(-w+8)
    9·2 answers
  • Name the property shown by each statement.<br> 1. m + 0 =m
    10·1 answer
  • Mr.Rivera can grade 8 math tests in 10 minutes what is the teachers unit rate?
    9·2 answers
  • WILL GIVE BRAINLIEST!<br> Given that m∠a = 53°, find m∠b.<br> m∠b = <br> °
    7·2 answers
  • A path in the park forms a triangle as shown. What is the measure of angle A? Round to the nearest tenth of a degree.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!