Kayla's school is selling tickets to the annual dance competition. On the first day of ticket sales the school
sold 3 senior citizen tickets and 5 child tickets for a total of $70. The school took in $216 on the second day by
selling 12 senior citizen tickets and 12 child tickets. Find the price of a senior citizen ticket and the price of a
child ticket.

Answers

Answer 1

Answer:

senior ticket = $10     child's ticket = $8

Step-by-step explanation:

s = senior ticket

c = child's ticket

We need to write 2 equations, and we have 2 unknowns, s and c.

3s + 5c = $70

12s + 12c = $216

First solve for s using the first equation.

3s + 5c = 70    Subtract 5c from each side

3s + 5c - 5c = 70 - 5c

3s =  70 - 5c     Divide each side by 3

3s/3 =  (70 - 5c)/3

s = [tex]\frac{70 - 5c}{3}[/tex]

Now plug in s into the second equation.

12s + 12c = 216

12([tex]\frac{70 - 5c}{3}[/tex]) + 12c = 216

[tex]\frac{12}{3}[/tex] (70 - 5c) + 12c = 216

4 (70 - 5c) + 12c = 216

280 - 20c + 12c = 216

280 - 8c = 216  Add 8c to each side

280 - 8c + 8c = 216 + 8c

280 = 216 + 8c   Subtract 216 from each side.

280 - 216 = 216 - 216 + 8c

280 - 216 = 8c

64 = 8c   Divide each side by 8

64/8 = 8c/8

64/8 = c

8 = c

Now plug c into the first equation and solve for s.

3s + 5c = 70

3s + 5(8) = 70

3s + 40 = 70    Subtract 40 from each side.

3s + 40 - 40 = 70 - 40

3s = 70 - 40

3s = 30  Divide each side by 3

3s/3 = 30/3

s = 30/3

s = 10

So a senior ticket costs $10 and a child's ticket costs $8.


Related Questions

HELP ASAP!!! determine how if possible the triangles are similar​

Answers

Answer:

d not simlar just letting u know ur getting it wrong

Step-by-step explanation:

Answer:

I think A or C would be the answer! Hope this helped a little!!

What is the slope of the line given by the function f (x) = 7 – 2x?

Answers

Answer:

I am not certain but I think it is -2 give that a try and hope it helps!

Solve -0.8(10 - x) = 36

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Linear equation.

Solving we get as,

-0.8(10-x)=36

=> -8 + 0.8x = 36

=> 0.8x = 36+8

=> 0.8x = 44

=> x = 44÷0.8

=> x = 55

x= 55.

The solution of the expression will be;

⇒ x = 55

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ -0.8 (10 - x) = 36

Now,

We can solve the expression as;

The expression is,

⇒ -0.8 (10 - x) = 36

⇒ - 0.8 × 10 + 0.8x = 36

⇒ - 8 + 0.8x = 36

⇒ 0.8x = 36 + 8

⇒ 0.8x = 44

⇒ x = 44 / 0.8

⇒ x = 55

Thus, The solution of the expression will be;

⇒ x = 55

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

What are the next 3 terms in the sequence 2.0,3.5,5.0,6.5?

Answers

Answer:

8.0, 9.5, 11.0

It is increasing by 1.5.

Step-by-step explanation:

Answer:

8.0

explanation; the answer is 8.0

Given the two relations, which one is a function and why is the other one not a function

Answers

Answer:

The other one (number2) is not a function, because if you plot those points in a graph and use the line rule it shows that more than one point is aligned in that line.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The first one is a function, and the second one is not a function.

Because in a function, each input only match ONE output.

Please help!!!!!!!! #1

Answers

Answer:

its d , because your distributing the 5 into what's in the parenthesis .

What is the ratio of blue paint to red paint in the mixture?

Answers

Answer: I think the answer is 5:2 Hope This Helps

It's 5:3

Hoped I helped!

Have a wonderful day-

Bye!

HURRYYYYY!!!!
Which system of linear inequalities is graphed?

Answers

the answer is d (i’m typing this out because my answer has to be longer than 20 characters lol)

The snack bar at the school purchases water bottles at wholesale and then marks them up to make a profit. It marks up the water bottles by 33 and one-third percent, an amount of $0.28.

Percents
Total
33One-third%
33One-third%
33One-third%
100%
$0.28
$0.28
$0.28


What was the wholesale price of each water bottle?

$0.56

$0.84

$0.93

$1.12

Answers

Answer:

Step-by-step explanation:

0.84 * 33 1/3% = 0.28

The answer is $0.84

Answer:

0.84

Step-by-step explanation:

took the test edge 2021

Estimate 38 3/22 - 14 29 by rounding each number to the nearest whole number

Answers

Answer:

600

Step-by-step explanation:

evaluate the function at each specified
value of the independent variable and simplify

Answers

Answer:

Evaluating the function is just replacing the "x" (or the "t" in the second case) by the value that we want:

1) q(x) = 1/(x^2 - 9)

 a) q(0) = 1/(0^2 - 9) = 1/(-9) = - 1/9

 b) q(3) = 1/(3^2 - 9) = 1/(9 - 9) = 1/0 = indetermined, we could think this as:

  [tex]\lim_{x \to \ 3} q(x) = infinity[/tex]

 c) q(y + 3) = 1/( (y + 3)^2 - 9) = 1/(y^2 + 6*y + 9 - 9) = 1/(y^2 + 6*y)

2) q(t) = (2*t^2 + 3)/t^2

 a) q(2) =  (2*2^2 + 3)/2^2 = (2*4 + 3)/4 = 11/4

 b) q(0) = (2*0^2 + 3)/0^2 = 3/0

  Again, we can not divide by zero, this is simmilar to the case 1.b

 c) q(-x) = (2*(-x)^2 + 3)/(-x)^2 = (2*x^2 + 3)/x^2

   

Given f(x) = 17x - 18, find x when f(x) = 33.

Answers

Answer:

f(x) = 17x - 18

y=17x-18

y=17(33)-18

y=561-18

y=543

f(x)=543

Step-by-step explanation:

Answer:

x = -3

Step-by-step explanation:

Plug in 33 for f(x) into the first equation:

33 = 17x - 18

17x = -51

x = -3

Ronald wants to rent a car to take a trip and has a budget of $60. There is a fixed rental fee of $25 and a daily fee of $5. Write an inequality that would be used to solve for the maximum number of days for which Ronald can rent the car on his budget.

25 + 5x ≤ 60
25 + 5x ≥ 60
25x + 5 ≤ 60
25x + 5 ≥ 60

Answers

Answer:

35+5x<_60

Step-by-step explanation:

x would stand for the amount of days and for each day you would pay $5 add that to the fee of 25 and it has to be less than or equal to 60 because that is the extent of his budget

what the last guy was trying to say is

25 + 5x ≤ 60

btw this is correct i just did the test

29% of 100 tiles is how many tiles

Answers

Answer:

29

Step-by-step explanation:

ez

Answer:

29

Step-by-step explanation:

29% of 100

= 29/100 *100

= 29

Which equation represents the line that passes through points B and C on the graph?

Answers

Answer:

y= -2x-6

Step-by-step explanation:

Answer:

y = -2x - 6

Step-by-step explanation:

Took the quiz on Edge. Have an amazing day! ^w^

Which set of values could be the side lengths of a 30-60-90 triangle? A. {5,10,10 sqrt 3} B. {5,5 sqrt 2 ,10} C. {5,5 sqrt 3, 10} D. {5,10,10 sqrt 2}

Answers

9514 1404 393

Answer:

  C. {5, 5√3, 10}

Step-by-step explanation:

The side ratios in a 30-60-90 triangle are ...

  1 : √3 : 2

Multiplying these ratios by 5 gives the set of side lengths ...

  (5, 5√3, 10)

Answer: 5, 5√3, 10

Step-by-step explanation:

Are these answers right or some wrong? If some wrong plz answer them correct thanks!

Answers

You are wrong.

1, 2, 3 and 4 are correct.

5. 75%

6 is also correct

7. 100%

8. 50%

No they aren’t, you got most right:)

Can someone help me ????

Answers

I think that the best answer is the second one
8x^2+1x-4

Hope you get it right :D
There is a program for solving math equations I'm looking for

Solve for x.
(1/9)^x=27^x/9^2x-1

Answers

Answer:

x=-2

Step-by-step explanation:

In order to prove a conjecture is always true, you must show?

A.) a formal proof
B.) a counterexample
C.) several true examples
D.) an informal proof

Answers

In order to prove a conjecture is always true is formal proof.

We have given that,

A.) a formal proof

B.) a counter-example

C.) several true examples

D.) an informal proof

We have to prove a conjecture is always true

In order to prove a conjecture is always true, you must show formal proof.

What is the conjecture?

A conjecture is a conclusion or a proposition that is proffered on a tentative basis without proof.

Therefore the first option is correct.

In order to prove a conjecture is always true is formal proof.

To learn more about the conjecture visit:

https://brainly.com/question/2292059

#SPJ2

Answer: A- a formal proof

Step-by-step explanation:

just is

Is this proportion true or false? 5/9 = 9/8 *

Answers

Answer:

False

Step-by-step explanation:

have a great dayyy

Answer:

False

Step-by-step explanation:

Which trigonometric identity is the reciprocal of the cos identity?

A. cosec
B. sec
C. sin
D. cot

Answers

Step-by-step explanation:

The secant is the reciprocal of the cosine. It is the ratio of the hypotenuse to the side adjacent to a given angle in a right triangle.

8(4y - 3) + 2(y - 5)​

Answers

Answer:

34y-34

Step-by-step explanation:

Expand:

32y-24+2y-10

=34y-34

Answer:

34y-34  or  34(y-1) whichever is better for you specifically

Step-by-step explanation:

distribute so 32y-24+2y-10 then simplify like terms so 34y-34 or 34(y-1)

which two fractions would make 1/8 plz help ​

Answers

Answer:

1/3 and 5/15

Step-by-step explanation:

Please help! This is my last question on the homework and it’s taking forever for me to do

Answers

Answer: y = x + 40

Step-by-step explanation: y = x + 40

First of all, the line starts at the y-axis on 40, which means the y-intercept is 40.

Second, the slope, Rise over run. y2 - y1 / x2 - x1, which is = to 50 - 40 divided by 15 - 5. That is 10 over 10 or 10/10. The slope of that is 1 so the slope is just x.

There are a few possible answers and they are

y - 40 = 1(x - 0)

y - 50 = 1(x - 10)

y - 60 = 1(x - 20)

=================================================

Explanation:

Pick two blue points from the graph. I recommend points that land on grid intersections so we can read the coordinates easily. Two such points are (0,40) and (10,50)

Use the slope formula to find the slope

m = (y2-y1)/(x2-x1)

m = (50-40)/(10-0)

m = 10/10

m = 1

The slope is 1.

Note how I subtracted the y coordinates, then did the same for the x coordinates in the same order, and divided the differences.

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

Since your teacher wants the answer in point slope form, we'll use this as our template

y - y1 = m(x - x1)

where m is the slope and (x1,y1) a the point the line goes through. We have infinitely many choices for (x1,y1) since there are infinitely many points on this line.

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

If we use (x1,y1) = (0,40), then we get

y - y1 = m(x - x1)

y - 40 = 1(x - 0)

which is one possible answer

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

If we use (x1,y1) = (10,50), then we get

y - y1 = m(x - x1)

y - 50 = 1(x - 10)

which is another possible answer

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

If we use (x1,y1) = (20,60), then we get

y - y1 = m(x - x1)

y - 60 = 1(x - 20)

which is another possible answer

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

So again there are multiple answers possible. The slope stays the same each time, but x1 and y1 change depending on which point you choose.

What is the domain and range please?

Answers

Answer:

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. (In grammar school, you probably called the domain the replacement set and the range the solution set.

I Will Give You A Brainliest. I Need This Before 11/12/20 4pm.

Answers

Answer:

C Subtraction property of equality

Step-by-step explanation:

You are subtracting 21 from both sides in step 3

Answer:

I would guess C

Step-by-step explanation:

I hope I'm correct, good luck.

If h(x)=2(x^2+5)+10, what is the value of p(13)

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]h(x) = 2( {x}^{2} + 5) + 10 [/tex]

[tex]h(x) = 2 {x}^{2} + 10 + 10[/tex]

[tex]h(x) = 2 {x}^{2} + 20[/tex]

_________________________________

[tex]h(13) = 2 \times ({13})^{2} + 20[/tex]

[tex]h(13) =( 2 \times 169 )+ 20[/tex]

[tex]h(13 )= 338 + 20[/tex]

[tex]h(13) = 358[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Solve this equation.
24 + 0.44x = 19 + 1.69x

Answers

Answer:

x = 4

Step-by-step explanation:

24 + 0.44x = 19 + 1.69x

24 + 0.44x - 1.69x = 19

-1.25x = 19 - 24

-1.25x = -5

x = 4

Step-by-step explanation:

24 + 0.44x = 19 + 1.69x

24 - 19 = 1.69x - 0.44x

5 = 1.25x

1.25x = 5

x = 5/1.25

= 4

Which equation represents the perpendicular
bisector of AB whose endpoints are A(8,2) and
B(0,6)?

Answers

Answer:

y = ½x + 2

Step-by-step explanation:

We are given the coordinates of the endpoint as;A(8,2) and

B(0,6)

The midpoint coordinates will be;

((8 + 0)/2, (2 + 6)/2) = (4, 4)

The slope of the midpoint using gradient formula will be;

m = (6 - 2)/(0 - 8)

m = 4/-8

m = -2

Thus, slope of a line perpendicular to the midpoint is;

m_p = -1/m

m_p = -1/-2

m_p = 1/2

Thus, using slope intercept concept, the equation to represent the perpendicular bisector is;

y - 4 = ½(x - 4)

Multiply both sides by 2 to get;

2y - 8 = x - 4

Add 8 to both sides to get;

2y - 8 + 8 = x - 4 + 8

2y = x + 4

Divide through by 2 to get;

y = ½(x + 4)

y = ½x + 2

Other Questions
Question: How hot is the sun? Amy's car gets 32 miles per gallon. If her car's tank holds 15 gallons of gas, and she wants to keep a minimum of 1 gallon of gas in the tank for safety, how far (in miles) can Amy drive after filling up before she needs to fill up again? answer and show work Because the Byzantine Empire was largely Greek in language and culture, what was the biggest influence of Byzantine/Greek culture on Russia? Read these statements by three students who are discussing the beginning of the book Holes by Louis SacharHaley How do you think Stanley feels when he first arrives at Camp Green Lake?Micah Based on his reactions to Mr. Sir's directions, he is probably confused and unsure about what his life will belike at Camp Green LakeKristy I think Stanley feels lost and confused. One minute he's going to school and the next minute he's on a longbus ride in the middle of the desertin this discussion, MicahO makes sure everyone participateOdisagrees with another participantOstates facts that are in the bookO keeps the group focused on the topic help again:)!Mr. Phuong stayed in a hotel room for 2 nights that cost $210. The hotel room tax rate is 12%. What is the total cost for the hotel room? The solutions to the inequality y 2x 4 are shaded on the graph. Which point is a solution?(1, 1)(1, 1)(3, 2)(2, 3) what is the oxygen used for in photosyntheiss Which of the following are functions of proteins What are the 4 different types of analogies? Explain how beaches are created. The no. Of adel beads to that of claire's beads was the ratio 7 :4 .When adel gave 68 beads to claire the ratio become 25 :41 . How many beads did claire did claire have finally help me please click link to go to questionbrainly.com/question/19566932?answeringSource=feedPublic%2FhomePage%2F2 .Solve the system of equations 3x + 2y = 22 and x - 2y = -6.solve system of equations What evidence would a scientist use to determine the age of rock in a layer? subtract -2/3- (-2/5) What Texas region has little or no rain to support vegetation? PLEASE HELP ME IM REALLY REALLY BAD AT SPANISH THE FIRST CORRECT ANSWER WILL GET BRAINLIESTllena el espacio con la mejer opicion(your-formal)_______ lapiz rojo What does Nanjing mean?northern capitalsouthern capitalthree ovenssouthern ovens Which number line correctly shows 0.8 + 0.3?