The school that Anthony goes to is selling tickets for a choir concert. On the first day of ticket sales his school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. What is the price of a senior citizen ticket?

Answers

Answer 1

Answer:

A senior citizen costs $8

Step-by-step explanation:

Represent senior citizens with S and children with C.

The first day is represented as:

[tex]3S + C = 38[/tex]

The second day is represented as:

[tex]3S + 2C = 52[/tex]

Required

Solve for C and S

Make C the subject in the first equation

[tex]C = 38 - 3S[/tex]

Substitute 38 - 3S for C in the second equation

[tex]3S + 2(38 - 3S) = 52[/tex]

[tex]3S + 76 - 6S = 52[/tex]

Collect Like Terms

[tex]3S - 6S = 52 - 76[/tex]

[tex]- 3S = -24[/tex]

Divide through by -3

[tex]S = 8[/tex]

Recall that: [tex]C = 38 - 3S[/tex]

[tex]C = 38 - 3 * 8[/tex]

[tex]C = 38 - 24[/tex]

[tex]C = 14[/tex]

Hence, a senior citizen costs $8


Related Questions

write the slope intercept form of the equation of each line​

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The slope intercept it (0,4)
Slope intercept is 0,4

The sum of two numbers is 68 and the difference is 12. What are the numbers? Larger number: Smaller number:

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Answer:

This is hard asfk

Step-by-step explanation:

Sorry but im confused just as you.

What is the truth value of "If yesterday was Tuesday then today is Wednesday"

Answers

Answer:

the required truth value of the statement will be:

p              q              p →  q

T               T                T

Step-by-step explanation:

A conditional statement contains two parts:

hypothesis (if) conclusion (then)

We know that the truth table for the conditional statement is:

p              q              p →  q

T               T                T

T               F                F

F               T                T

F               F                T

Given the statement that "If yesterday was Tuesday then today is Wednesday" indicates that the hypothesis is true and the conclusion is also true. Meaning that we only get Wednesday if the previous day was Tuesday.

Thus the required truth value of the statement will be:

p              q              p →  q

T               T                T

Please help me with this question I’ll give brainliest for whoever is right

Answers

Answer:

5,-4, 2,-4

Step-by-step explanation:

this is the correct answer luv

It is a vertical line on 2 of the X axis

(3x2 - 2x + 5) - (3x2 - 8x + 2) =

Answers

Your answer is 6x + 3.

To get this answer you calculate the product and get (6x-2x+5)-(6x-8x+2). Then you want to collect like terms and get (4x+5)-(-2x+2). Then remove unnecessary parentheses. Then collect like terms and subtract. 6x+5-2 to 6x+3.
I would comment buddy above just explain it very good if I was you I would give the brainless he Deserves it

Lily invested $90,000 in an account paying an interest rate of 4.6% compounded
annually. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $221,200?

Answers

Answer:

20

Step-by-step explanation:

I'm just doing this for points but it is the right answer

*PLS HELP MEE* There are 80 servings in a box of cereal. Each serving size is 1/8 of a cup of cereal. If one person eats 1 cup and another eats 3 cups, how many cups are left in the box of cereal?

Answers

Answer:

2 cups left in the ceral box!

Step-by-step explanation:

please just trust me i worked it out and got the answer and you just have to trust me please! MAY I HAVE BRAINLIEST IF ITS RIGHT? HAVE A GREAT DAY!!!

2. What is the equation in point-slope form of the line that passes through the point
(4,-5) and has a slope of = ?
3

Answers

Answer:

y+5=[tex]\frac{2}{3}[/tex](x-4)

Step-by-step explanation:

Giving brainlest to the correct answer

Answers

Answer:

The percentage of people surveyed that were satisfied with the car is 55%.

Step-by-step explanation:

1,100/2,000=0.55*100= 55%

Jessa started with 100 sugar cookies for the Christmas banquet and gave away x cookies. Cooper started with 120 cookies but gave away twice as many pieces as Jessa did. How many sugar cookies did Jessa give away if they had the same number left?

Answers

Answer:

20 cookies

Step-by-step explanation:

To find the answer start by plugging in numbers. first, subtract the number from 100 or Jessa's number of cookies then multiply that by 2 and subtract that from 120 or Cooper's cookies. If the two resulting numbers are equal then you have the right answer.

Evaluate the expression when x = 9.2 and y = 3.4.
5xy

Answers

Answer:

5x9.2x3.4=156.4

Step-by-step explanation:

plug in 9.2 for x and 3.4 for y then multiply

Sara says, "If you subtract 14 from my number and multiply the difference by - 3, the result is – 42."
What is Sara's number?
Sara's number is |

Answers

Answer:

Sara's number is 28

Step-by-step explanation:

Let's assign Sara's number the variable x and solve this equation using the information provided.

"If you subtract 14 from my number"

x - 14

"and multiply the difference by - 3"

-3(x - 14)

"the result is – 42."

-3(x - 14) = -42

Now we can solve from here for x.

-3(x - 14) = -42

x - 14 = 14

x = 28

Solve for EG. A) 18 B) 12 9 D) 6​

Answers

Answer:

It's be 9. The opposing line is 8, and because it's slightly offset, I'd wager it's 9.

Let me know if you need more help! :)

On a piece of paper, graph yz-2x-2. Then determine which answer choice
matches the graph you drew.
A
B
с
5
(-2,2)
(-2,2)
(-2,2)
(-2,2)
-5
0.-23
0.-27
(0.25
0.-235
-5
A. Graph D
B. Graph B
O C. Graph A
D. Graph C

Answers

Answer:B

Step-by-step explanation:

Option B is correct,  the inequality y≥-2x-2 is represented in the second graph or graph B.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given inequality is y≥-2x-2

y greater than or equal to minus two times of x minus two.

y≥-2x-2

The line passes through the points (-2, 2) and (0, -2).

As there is given greater than or equal to the line should be solid not dotted.

Greater than or equal to means we have to shade away from the origin.

The second graph satisfy all these properties.

y≥-2x-2 is represented in the second graph.

Hence, the inequality y≥-2x-2 is represented in the second graph.

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Mai earns $7 an hour mowing lawns. Her friend Priya earns $8.50 an hour. If Mai started with $15, how many hours will it take both friends to make the same amount of money?

Answers

Mai: y = 7x + 15
Priya: y = 8.5x
7x + 15 = 8.5x
15 = 1.5x, x = 10
It takes 10 hours

7x+15=8.5x

x=10

Standard form:

−3

2

x + 15 = 0

Factorization:

−3

2

(x − 10) = 0

Solutions:

x = 30

3

= 10

PLEASE HELP!!!!!!!!
find the missing value
y=-4x-1
( ,11)?

Answers

What math are you doin? Like what are you solving for? x or y? Provide more info so I can help you
x= -3
You would make -1 positive and add it to 11. This gives you 12. Then divide 12 and -4 which gives you -3.

What is the force on a 1000 kg elevator that is falling freely at 9.8 m/sec2

Answers

Answer: The only force on it is its weight, w=9800N

Step-by-step explanation:

Miguel wants to have at least $500 in his account to spend over the summer. He already has $150. If he deposits $25 each week, write and solve an inequality to determine how many weeks it will take him to reach at least $500.

Answers

Answer:

listen to the other guy

or girl

Step-by-step explanation:

It will take at least 14 weeks to have at least $500.

What is inequality?

The relation between two unequal expressions is defined as inequality.

Given that, the person has $150 in his account and he deposits $25 each week into this account.

The amount in the account after w weeks is:
150 + 25w

Let the amount in the account after w weeks is at least $500, then  it follows:

150 + 25w ≥ 500

25w ≥ 500 - 150

25w ≥ 350

w ≥ 14

Hence, it will take at least 14 weeks to have at least $500.

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HELP PLEASE!

a car drives at a rate of 65 mi/hr. what is the speed of the car in ft/s? note: 1 mi = 5280 ft

a. 44 ft/s
b. 95 ft/s
c. 5720 ft/s
d. 0.0181 ft/s

Answers

I'm pretty sure its c

because 5280x65=343200

and 343200/60 is 5720

Answer: It’s 95 ft/s

Step-by-step explanation:

quiz

when is it best to use the graphing method to solve a system of equations????

Answers

Answer:

graphing by hand it probably can help or you could do it your way if u want

Plssss answer ASAP!!!!!!

Answers

Answer:

You do 2 times 5x, the simplify.

Answer: none of these

Step-by-step explanation:

in the sequence 11, 13,15,17 the first term is and the 4th term is ?

PLS HELP

Answers

Answer:

Isnt the

Step-by-step explanation:

Isnt the first term 11

And the 4th 17 lol

Solve for a!!!!!!!!!!

Answers

Answer:

4

Step-by-step explanation:

the fraction has to equal to 2

-2+4=2

so a/2=4

or 4/2=2

Giving brainlest to the first person who answers correctly

Answers

Answer:

1/2

Step-by-step explanation:

slope is

m= y2-y1/ x2-x1= 6-5/2-0=1/2

n + 1 < −8
the solution of the inequality is ____?

Answers

Answer:

n < -9

Step-by-step explanation:

Subtract 1 from both sides: n < -8 -1

Simplify -8 -1 to -9

n < -9

Brainliest Please!!?!!!

- Hermionia

is there anything after 16a+20 ?

Answers

Answer:

The equivalent expressions are:

[tex]4\left(4a+5\right)=16a+20[/tex]

                [tex]=2\left(8a+10\right)[/tex]

                [tex]=12a+20+4a[/tex]  

Yes, 16a+20 could be further reduced by taking 2 as a common factor.

i.e. 16a+20 = 2(8a+10)

Step-by-step explanation:

Given the expression

[tex]4(4a+5)[/tex]

solving the expression to determine the equivalent expression

[tex]4\left(4a+5\right)[/tex]

[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac[/tex]

[tex]4\left(4a+5\right)=4\cdot \:\:4a+4\cdot \:\:5[/tex]

                [tex]=16a+20[/tex]

Taking 2 as the common factor

                [tex]=2\left(8a+10\right)[/tex]

Also

[tex]12a+20+4a = 16a+20[/tex]  

             

Therefore, the equivalent expressions are:

[tex]4\left(4a+5\right)=16a+20[/tex]

                [tex]=2\left(8a+10\right)[/tex]

                [tex]=12a+20+4a[/tex]  

Yes, 16a+20 could be further reduced by taking 2 as a common factor.

i.e. 16a+20 = 2(8a+10)

Olivia got a 72% on her quiz, there are 25 questions how many did she get right and how many did she get right

Answers

Answer:

18

Step-by-step explanation:

72% of 25 is 18.

Hope this helped! :)

After a 5% discount, a car is on sale for $11,400. What was the price of the car before the discount?

Answers

Answer:

$11,970 is the price of the car before the discount

Step-by-step explanation:

HELP!!! I NEED HELP!
The coordinates of the point that is a reflection of Y(-4, -2) across the x-axis are __The coordinates of the point that is a reflection of Y across the y-axis are __

Answers

Answer: Reflection over X axis is (-4, 2) and reflection over the Y axis is (4, -2)

Step-by-step explanation:

What is 2792 + 9383790202

Answers

Answer:

9383792994

Step-by-step explanation:

I the answer is 9383792994

938,381,812 around there I did this with my head and I’m not sure if it’s correct but I hope it is
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