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
hichkok12 [17]
3 years ago
9

The school that Lisa goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 se

nior citizen tickets and 5 student tickets for a total of $102. The school took in $126 on the second day by selling 7 senior citizen tickets and 5 student tickets. What is the price each of senior citizen ticket and one student ticket?
Mathematics
1 answer:
kakasveta [241]3 years ago
6 0
Let:
x = cost of senior citizen ticket
y = cost of student ticket

4x + 5y = 102
7x + 5y = 126

4x + 5y = 102
4x = 102 - 5y
x = (102 - 5y)/4
x = 102/4 - 5y/4

7x + 5y = 126
7(102/4 - 5y/4) + 5y = 126
(714/4 - 35y/4) + 5y = 126
-35y/4 + 5y = 126 - 714/4

note:
-35y/4 = -8.75y
714/4 = 178.5

-8.75y + 5y = 126 - 178.5
-3.75y = -52.5
y = -52.5/-3.75
y = 14


x = 102/4 - 5y/4
x = 102/4 - 5(14)/4
x = 8

x = cost of senior citizen ticket = $8/ea
y = cost of student ticket = $14/ea



You might be interested in
An airplane flies about 600 miles per hour (mph). Which is the dependent variable in this situation?
Yuri [45]

Answer:

The distance flown

Step-by-step explanation:

The distance flown is dependent on the speed of the plane

6 0
3 years ago
if the perimeter of the blanket has to be at least 280 inches is there egnough room for all three of them to cuddle up under the
dezoksy [38]

Answer:

hope it helps

Step-by-step explanation:

angle < EDG = 90°

5x + 4x = 90

9x = 90

x = 90/9

x = 10°

which means

5x = 50°

4x = 40°

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

sice EF and DG are parallel lines

EHD = 40°

DHG is 90°

then HGD = 50°

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

ED = 64 x2 (2 sides) = 128 inches

DG = 84 x2 (2 sides) = 168 inches

total perimeter = 128 + 168 = 296 inches

and yes. theres enough room for all 3 to cuddle

5 0
3 years ago
Laura Manning applied for a job as a firefighter. She was 5-feet-2-inches tall and weighed 110 lbs. Laura was denied the positio
Vlad1618 [11]

Someone help idk the answer

3 0
3 years ago
Read 2 more answers
Is (x-1) a factor of 2x3 - 15x2 + 22x + 15
Advocard [28]

Answer:

Step-by-step explanation:

If x - 1 is a factor of the cubic, then 1 should result in 0 when you put it in the cubic for x. Does it?

f(1) = 2(1)^3 - 15(1)^2 + 22(1) + 15

f(1) = 2 - 15 + 22 + 15

f(1)= 24.

No the result is not zero. So x - 1 is not a factor.

However there must be something that makes this cubic go to zero. The easiest way to find it is to graph it.

The numbers that do make this zero are -0.5, 3, 5

Which mean that the factors are (2x+1)(x-3)(x - 5)

6 0
3 years ago
WILL GIVE BRAINIEST TO ONLY THE FIRST ANSWER!! Find the sum of the first 150 terms in the sequence 20, 15, 10, 5...
enot [183]

Answer:

-450

Step-by-step explanation:

Say the first number is x to get the idea.

The first 150 terms are 150x - 5 * 150

15x - 750

300 - 750 = -450

7 0
4 years ago
Other questions:
  • Consider the following Excel regression of perceived sound quality as a function of price for 27 stereo speakers. Regression Sta
    7·1 answer
  • a retangle has an area of 6 square meters. what will be the area of the retangle if each side length is increased by a factor 5?
    7·1 answer
  • Which of these statements describes a rebate?
    8·2 answers
  • I don’t know how to find angle A
    5·1 answer
  • Is this right? I’m just checking my work but I need to submit this soon.
    11·1 answer
  • Please help and explain :)
    9·1 answer
  • PLEASE HELP ASAP!!!!!
    5·1 answer
  • Multiply. (3 - 4i)(5 + 2i)
    10·1 answer
  • Twice a number divided by 6 is 42. Find the number.
    7·2 answers
  • Polynomial factoring <br> 8x^4+ 10x^2 – 3
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!