On the first day of ticket sales the school sold 8 senior citizen tickets and 1 child ticket for a total of $97. The school took in $102 on the second day by selling 6 senior citizen tickets and 4 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.

Answers

Answer 1

Answer:

A senior citizen ticket costs $11, and a child ticket costs $9.

Step-by-step explanation:

Let s = price of 1 senior citizen ticket, and let c = price of 1 child ticket.

First day:

8s + c = 97

Second day:

6s + 4c = 102

We have a system of 2 equations in 2 unknowns.

8s + c = 97

6s + 4c = 102

We will use the addition method to solve the system.

Multiply both sides of the first equation by -4. Write the second equation below it and add the equations.

     -32s - 4c = -388

(+)     6s + 4c = 102

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

      -26s       = -286

Divide both sides by -26.

s = 11

Now substitute s with 11 in the first original equation and solve for c.

8s + c = 97

8(11) + c = 97

88 + c = 97

Subtract 88 from both sides.

c = 9

Answer: A senior citizen ticket costs $11, and a child ticket costs $9.


Related Questions

Kelvin's math average is 75 and he wants to increase it to 89. He decides
that a 12% increase will allow him to reach his goal. Is he correct? Why or
why not?

Answers

Answer:

incorrect its actually 14%

Step-by-step explanation:

Tessa bought stock in a restaurant for $277.00. Her stock is now worth $346.25. What is the percentage increase of the value of Tessa's stock?

Answers

Answer:

125%

Step-by-step explanation:

Divide 346.25 by 277

you get 1.25

multiply it by 100

Answer:

25%

Step-by-step explanation:

This is calculated this way:

$346.25/$277 = 1.25

Then subtract 1, because that part represents what Tessa had to start with. That leaves

0.25

That decimal equals 25%, and that is the answer.

X = 25 -3y and 4x + 5y = 9
What are the solutions

Answers

Answer:

x=-14, y=13

Step-by-step explanation:

4x+5y=9

x+3y=25

4x+5y=9

-4x-12y=-100

-7y=-91

y=13

Subsitute: x+3(13)=25

x=-14

SOMEONE HELP ME!! NO ONE WILL HELP T^T WILL MARK BRAINLIEST

Answers

Answer: nope!

Step-by-step explanation: there are 4 quarts in a gallon and we can see by adding the mango juice, there will be no space!

Water (2 quarts) mango juice (2 quarts) equals a gallon

Ginger ale = one gallon

That’s already 2 gallons and we still have the 2 pints of pineapple juice!

PLEASE PLEASE PLEASE HELP!!!!!

Answers

Answer:

5 hours

Step-by-step explanation:

use the variable "h" for number of hours

10+5h=7h

subtract 5h from both sides

2h=10

divide both sides by 2

h=5

5/8 + 3/4 divide by -2/3 - 5/6

Answers

Answer: -4/3

Step-by-step explanation: hope this helps :)

Find the best buy between 6.2 oz. for $2.97 or 8 oz. for $3.47.

Answers

Buying 6.2 oz for $2.97 is the better buy.

1/3 + (3x+12) = 6x -11

Answers

Answer:

x = 70/9

Step-by-step explanation:

Answer:

70/9

Step-by-step explanation:

9(3+v)
answer pleaseee

Answers

Answer:

27+9v

Step-by-step explanation:

distribute



It’s distributing. You multiply 9 with 3 and v. And the answer will be :


= 27+9v

You want to buy a pet lizard that costs ​$45. You already have ​$14 and you plan to save ​$7 per week. If w represents the number of weeks until you have enough money to buy the ​, what equation could you use to find the value of​ w? Explain how you could set up an equation to find the amount of money you should save each week if you want to buy the lizard in 3 weeks.

Answers

9w+12
9*6+12 OR 9(6)+12

what is the inverse of f(x)=2-2x

Answers

In the usual sense, it has no inverse function. Since it is not an injection (f(0)=f(2)=0), an inverse function would have to map 0 both to 0 and 2, and that’s impossible.

However, if you restrict the domain to [1,+oo> (to make it injective), and the codomain to [-1,+oo> (to make it surjective), then it has an inverse function, given by g(y)=1+sqrt(y+1).

Need help pls


Find the missing angle

Answers

Answer:

? = 109 degrees

Step-by-step explanation:

180 -45-75 = 60

180-60-79 = 41

180-41-60 = 71

180-71 = 109 degrees

Paul invests £150 in a bank account paying 2% interest per annum for 10 years. Work out how much money he has in the account at the end of the 10 years

Answers

Answer: £180

Step-by-step explanation:

The interest gotten for the 10 years will be calculated as:

= Principal × Rate × Time

= 150 × 2% × 10

= 150 × 0.02 × 10

= 30

The amount he has in the bank account at the end of the 10 year will be:

= Principal + Interest

= £150 + £30

= £180

what is the quotient?

Answers

Answer:

the answer is 4x [tex]10^{2}[/tex]

Step-by-step explanation:

I hope this helps

have a nice day/night

Mark brainiest please

Answer:

First of all, a quotient is a number that the answer to a division number basically. So, I think the best answer would be the first choice: 4 times 10 with an exponent of 12. I think that is the correct answer.

Rewrite as a simplified fraction. \large{0.\overline{23} = {?}}0. 23

Answers

Answer:

23/100

Step-by-step explanation:

Given the decimal value 0.23, to write as a fraction;

0.23 = 23/100

The place value of dot will be replaced as 1 at the denominator and since the decimal is in 2 decimal places, two zeros will be added to after the 1 to make it 10 thereby making the required fraction 23/100.  Hence the value of 0.23 as a fraction will be 23/100

Which best describes the composition of transformations that maps ΔLMN to ΔL'M'N?

Answers

Answer:

a

Step-by-step explanation:

its A

Option C us correct, (D₂oR x-axis)(ΔLMN)  best describes the composition of transformations that maps ΔLMN to ΔL'M'N

What is Graph?

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

We have to find the composition of transformations that maps ΔLMN to ΔL'M'N.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Graph transformation is the process by which a graph is modified to give a variation of the proceeding graph.

The graphs can be translated or moved about the xy-plane.

A translation is a movement of the graph either horizontally parallel to the x-axis or vertically parallel to the y-axis.

As we observe the graph dilation and reflection applied to triangle LMN to get triangle L'M'N'.

A dilation is a transformation which preserves the shape and orientation of the figure, but changes its size.

(D₂oR x-axis)(ΔLMN) is the transformations that maps ΔLMN to ΔL'M'N.

Hence, Option C us correct, (D₂oR x-axis)(ΔLMN) is the transformations that maps ΔLMN to ΔL'M'N.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ2

William has a sticker album. Some pages have 1 sticker on them, and other pages have 2 stickers on them. If William has 18 stickers, how many different ways can he put the stickers in the album?

Answers

Answer:

6 ways

Step-by-step explanation:

William has a sticker album.

We are told in the question that:

Some pages have 1 sticker on them, and other pages have 2 stickers on them. If William has 18 stickers

The many different ways that can he put the stickers in the album is calculated as:

18 stickers ÷ ( 1 stickers + 2 stickers)

= 18 ÷ 3

= 6 ways

Therefore, the different ways that he can put the stickers in the album is 6 ways

Please help ASAP Which equation represents the function graphed
on the
coordinate plane?

Answers

Answer:

g(x) = |x + 4| - 2

I recommend next time you try substituting the x-values from points the line meets into each function until g(x) matches the y-value. For example, the line/function passes through the point (1, 3).  Substitute the x-value: 1 into the function where it says x. That would give you 3 = |1 + 4| - 2. (If you're wondering where I got 3 from g(x) is basically the same as y. Simplify the values in the "||" first. You should then get 3 = 5 - 2. Simplify that and you get 3 = 3 which means g(x) = |x + 4| - 2 is the correct answer. If you were to get anything else other than 3 such as "3 = 4", it would not be correct.

Answer:

A

Step-by-step explanation:

100 on my unit review

NEED ANSWER ASAP! ON A TIMED TEST!

Four chords are drawn in the figure below, creating a quadrilateral with every vertex on the circle.

Using the special properties of this figure, determine m

Answers

Answer:

21°

Step-by-step explanation:

<DCB = 3x + 8°

< DAB = 5x + 4°

Now

<DCB + <DAB = 180° { being opposite angles of cyclic quadrilateral }

3x + 8° + 5x + 4° = 180°

8x + 12° = 180°

8x = 180° - 12°

8x = 168°

x = 168° / 8

Therefore x = 21°

Hope it will help :)

M + 2m + 3m +m +3m show your work

Answers

m + 2m + 3m + m + 3m

Add all like terms. m counts as 1.

3m + 3m + m + 3m

6m + m + 3m

7m + 3m

10m

I need the solution. Please give steps
y = 10x + 20
y = 20x + 10

Answers

Answer:

If your trying to answer for X, here is how you do it.

For the equation '' Y = 10x + 20 '', isolate the variable 'X' by dividing each side by factors that don't contain the variable 'X', to get your answer:

X =  Y/10 − 2

Or

X = [tex]\frac{Y}{10}[/tex] − 2

For the other equation " Y = 20x + 10 ", it's the exact same thing. Isolate the variable 'X' by dividing each side by factors that don't contain the variable 'X', to get your answer:

X = Y/20 − 1/2

Or

X = [tex]\frac{Y}{20}[/tex] − [tex]\frac{1}{2}[/tex]

Id.k uhhhh

X = 30?

wee e wee e we

I dont got steps sorry :v

15+ points will give BRAINLIEST
Which function is equivalent to y=2(x+3)^2+5?

Answers

It is 3 is equivalent of y=2(x+3)^2+5

Can someone help me with this please

Answers

12x + 13y 13x + y and 2(x+8)

Answer number 7!!!! QUICK PLEASEE

Answers

Answer:

Addition

Step-by-step explanation:

Addition property of inequality

y = -x^2

Answer the problem.​

Answers

Answer:

x=0

Step-by-step explanation:

substitute y=0

0= -x^2

then swap the sides

-x^2=0 ,

change the signs

x^2=0

set the base equal to 0

x=0

The answer to you question is x=0

Darius and Khadija are learning to play chess. Darius's ratio of wins to losses is 5 to 13. Khadija's ratio of wins to losses is 3 to 9. Who has the better winning record?

Answers

Answer:

Darius

Step-by-step explanation:

Darius has played a total of 18 games so divide that by the five wins and you can see how many wins he would get on average wich is 0.28. Khadija won 3 out of 12 games so he/she has 0.25 average

can you help me please ​

Answers

Answer:

-20, probably.

Step-by-step explanation:

This is worded weirdly I assume it means there is a slope of one. Also, I hate that you got the points for this question by putting nonsense "answers" on questions, but you seemed like a halfway decent person.

Please answer the correctly in the picture below 8TH GRADE MATHENMATICS?!

Answers

Answer:

B 3.5

Step-by-step explanation:

Hope it Helps!

3.5

Hope it helps my freind

Please help fasttt question worth 10 points will get branliest answer if right

Answers

Answers:

y = 2x - 3
y = x - 2


What is the value of x?

Answers

Answer:

4x= 40

Step-by-step explanation:

40/4 = 10

4x= 40 is the correct answer
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