Lea's school is selling tickets to the annual talent show. On the first day of ticket sales the school sold 12 adult tickets and 7 child tickets for a total of $236. The school took in $217 on the second day by selling 7 adult tickets and 14 child tickets. What is the price each of one adult ticket and one child ticket?

Answers

Answer 1

Answer:

Step-by-step explanation:

let the number of children be x

and the number of adults be y

so

7x+12y=236-----1

and

14x+7y=217------2

equating both 1 and 2 we have

7x+12y=236-----1

14x+7y=217------2

multiply 1 by 2

subtract 2 from 1 we have

  14x+24y=472-----3

 - 14x+7y=217------2

    0x+17y=255

17y=255

y=255/17

y=15

put y=15 in eqn 1 we have

7x+12y=236-----1

7x+12*15=236-----1

7x+180=236-----1

7x=236-180

7x=236-180

x=56/7

x=8

therefore a child will cost $8 and adult will cost $15


Related Questions

I need help with these two question .-. / also happy Halloween :)

Answers

Answer:

7) 308 square yards

8) approx. 7.03 square inches

Step-by-step explanation:

7) length times width: 20 * 15 2/5 = 308

8) base times half height: (3 3/4 * 3 3/4) / 2 = 7 1/32 ≈ 7.03

Please explain The Four Color Theorem and list 1 example

Answers

Answer:

The Four Color Theorem, or the Four Color Map Theorem, in its simplest form, states that no more than four colors are required to color the regions of any map so that no two adjacent regions have the same color. As promised, that's a theorem any elementary-level student can grasp.

Step-by-step explanation:

Need help WITH THE QUESTION HELP ME PLZZZZZZZZZ

Answers

Answer:i think its 3 packages of plates and 2 packages of cups

Step-by-step explanation:

beacause 8 times 3 is 24 and 12 times 2 is 24

Answer:

A

Step-by-step explanation:

I cant find the words to explain. They both meet at 24. 8 x 3 = 24 and 12 x 2 = 24. So 3 packages of 8 and 2 packages of 12.

46. Hannah walks dogs for four different families. She charges each family the same

amount of money per hour. The numbers of hours she worked last week walking

dogs for each of the families are shown.

14 hours, 2 hours, 13 hours

, 3 hours

Hannah earned $93 for the hours she worked last week walking dogs.

• Calculate the amount of money Hannah earns per hour for walking dogs

• Write an equation that can be used to determine the amount of money, m, in

dollars, Hannah earns when she works h hours walking dogs.

• Show your work or explain your answer.

Answers

Answer:

Hannah earns $2.9 per hour for walking dogsThe equation is m = $2.9h

Step-by-step explanation:

From the question,

Hannah walks dogs for four different families and charges them the same amount of money per hour. Also, The numbers of hours she worked last week for each of the families are 14hours, 2 hours, 13 hours, and 3 hours.

Hence, she worked for a total of (14 + 2 + 13 + 3) hours.

(14 + 2 + 13 + 3) hours = 32 hours

Hence, she worked for a total of 32 hours last week.

Also, she earned $93 for the hours she worked last week

To calculate the amount of money Hannah earns per hour for walking dogs, that will be

$93 ÷ 32 hours = $2.9/hour

Hence, Hannah earns $2.9 per hour for walking dogs

For the equation that can be used to determine the amount of money, m, Hannah earns when she works h hours walking dogs,

If she works h hours for working dogs, then she will earn

$2.9 × h = $2.9h

Hence,

m = $2.9h

Where m is the amount of money Hannah earns in dollars

and h is the number of hours she spends walking dogs.

What is the difference of the fractions? Use the number line and equivalent fractions to help find the answer. Negative 2 and one-half minus (negative 1 and three-fourths) A number line going from negative 3 to 0 in increments of One-fourth. a \large -4\frac{1}{4} b \large -\frac{3}{4} c -4 d \large -\frac{1}{2}

Answers

Answer:

B)[tex]\frac{-3}{4}[/tex]

Step-by-step explanation:

We are supposed to find the difference of the fractions

a) [tex]-2\frac{1}{2}-(-1\frac{3}{4})[/tex]

[tex]=\frac{-5}{2}+\frac{7}{4}[/tex]

Using equivalent fraction

[tex]-\frac{5}{2} \times \frac{2}{2} = \frac{-10}{4}\\\Rightarrow \frac{-10}{4}+\frac{7}{4}[/tex]

Plot both fractions on number lines

So Using number line

[tex]\frac{-10}{4}+\frac{7}{4}=\frac{-5}{2}+\frac{7}{4}=\frac{-3}{4}[/tex]

So, Option B is true

Find the slope passing through the given points using the slope formula
(-3,-10) and (-1,-1)
4/11
9/2
2/9
11/4

Answers

-1–10/-1-3
Answer
9/2
Why?
A negative minus a negative equals a positive

Writewrite an equation of the line passing through the point p (-2, 6) that is parallel to the line x= -5.​

Answers

Answer:

Since the slope of the line x= - 5 is infinite

The line will be parallel to y axis.

And the line passes through - 2, so the equation will become x= -2

PLEASE ANSWER QUICKLY ITS TIMED

A sphere has a diameter of 10 in. What is the volume of the sphere?
A. V=125/3 in cubed
B. V=500/3 in cubed
C. V=500/3 pi cubed
D. V= 4000/3 pi cubed

Answers

Answer:

V≈523.6in³

d Diameter

Step-by-step explanation:

so its b

x + 9 – 0.8x = 5.2x + 17 – 8 pls help

Answers

Answer:

X = 6x

Step-by-step explanation:

Simplifying

X + 9 + -0.8x = 5.2x + 17 + -8

Reorder the terms:

9 + X + -0.8x = 5.2x + 17 + -8

Reorder the terms:

9 + X + -0.8x = 17 + -8 + 5.2x

Combine like terms: 17 + -8 = 9

9 + X + -0.8x = 9 + 5.2x

Add '-9' to each side of the equation.

9 + X + -9 + -0.8x = 9 + -9 + 5.2x

Reorder the terms:

9 + -9 + X + -0.8x = 9 + -9 + 5.2x

Combine like terms: 9 + -9 = 0

0 + X + -0.8x = 9 + -9 + 5.2x

X + -0.8x = 9 + -9 + 5.2x

Combine like terms: 9 + -9 = 0

X + -0.8x = 0 + 5.2x

X + -0.8x = 5.2x

Solving

X + -0.8x = 5.2x

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '0.8x' to each side of the equation.

X + -0.8x + 0.8x = 5.2x + 0.8x

Combine like terms: -0.8x + 0.8x = 0.0

X + 0.0 = 5.2x + 0.8x

X = 5.2x + 0.8x

Combine like terms: 5.2x + 0.8x = 6x

X = 6x

Simplifying

X = 6x

Answer:

X=6x

Step-by-step explanation:

A contractor bought 6.4 ft2 of sheet metal. He has used 2.1 ft2 so far and has $77.40 worth of
sheet metal remaining. The equation 6.4x - 2.1x = 77.4 represents how much sheet metal is
remaining and the cost of the remaining amount. How much does sheet metal cost per square
foot?

Answers

Answer:

$18

Step-by-step explanation:

Given:

6.4x - 2.1x = 77.4

Where,

x = cost of sheet metal per square foot

How much does sheet metal cost per square foot?

6.4x - 2.1x = 77.4

4.3x = 77.4

Divide both sides by 4.3

x = 77.4 / 4.3

= 18

x = $18

Sheet metal per square foot cost $18

Which step can you use to solve the equation first -5+p=4?

Answers

Answer:

Step-by-step explanation:

You have to do the opposite of the firs t one. You are going to add 5 to the four to get

p = 9. There is your answer!  Add on both sides!

Answer:

add 5 to both sides of the equal sign

Step-by-step explanation:

the answer will be p=9

Solve for indicated variable 4y + 3x= 5 for x

Answers

Answer:

4y + 15

Step-by-step explanation:

Simplify by dividing -5/8 divided by -3/4

Answers

Answer to the problem is 5/6

What is the result when x4 – 723 – 13x2 – 2x + 7 is divided by x + 1? If there is
r(2)
a remainder, express the result in the form q(x) +
b(a):

Answers

can you post a picture please!

Rachel tutors English. for each hour that she tutors, she earns 50 dollars. Let E be her earnings (in dollars) after tutoring for H hours. Write an equation relating E to H. Then use this equation to find Rachel’s earnings after tutoring for 19 hours

Answers

Answer:

a. E = 50 H b. 950 dollars

Step-by-step explanation:

a. Since Rachel tutors English for 50 dollars for each hours, her rate is 50 dollar per hour. If she tutors for time, H hours, Her earning E = rate × time = 50 × H

E = 50H.

b. If Rachel's earnings after tutoring for 19 hours is gotten by substituting H = 19 into the equation for the earnings, E.

So, E = 50H

E = 50 × 19

E = 950 dollars.

So, Rachel's earnings after 19 hours is 950 dollars.

Every month, Rachel gets a basic salary of $4000. She also gets a bonus of $200 for each policy she sells and a bonus of $50 for each client's compliant she resolves. Write an expression for her total salary for a month if she sells n policies an resolves x complaints

Answers

Answer:

4000+200n+50x=

Step-by-step explanation:

the amount of policies or complaints times the money she would get.

Answer:

4000+200n+50x

Step-by-step explanation:

since we dont know how many policies she will sell or how many complaints she will resolve, they need to be variables. so if

N= amount of policies sold

x= complaints resolved

then it would be 4000+200n+50x

Find the sum.
6(2k – 2) + (7k + 5)

Answers

Answer:

Your answer is: 19k - 7

Simplify the expression.

Step-by-step explanation:

Hope this helped : )

Answer is 19k-7

6(2k-2) + (7k+5)
12k-12+7k+5
19kx12+5
19k-7

PLEASE HELP!! IF U GET IT RIGHT ILL GIVE U A BRAINLIEST :)

Answers

Answer:

1,4,5

Step-by-step explanation:

Ive done it myself

Answer:

1,2,4,5

Step-by-step explanation:

hi how are you? I am a great listener let's make a conversation about ourselves.​

Answers

Answer:

I'm doing a challenge where I have to answer questions and earn points so just finishing my challenge :)

Step-by-step explanation:

the value of (-1)^500

Answers

Answer:

1!!!

Step-by-step explanation:

Geometry help! Due really soon
10 pts + brainliest

m∠3 is (3x + 4)° and m∠5 is (2x + 11)°.



Angles 3 and 5 are
.



The equation
can be used to solve for x.



m∠5 =
°

Answers

Answer:

Angles 3 and 5 are Same side interior angles.

The equation (3x + 4) + (2x + 11) = 180 can be used to solve for X.

m<5 = 77 degrees

Step-by-step explanation:

Sorry if it's too late for you to finish your assignment on time :/

But I hope you have a good day :)

Answer:

Angles 3 and 5 are Same side interior angles.

Step-by-step explanation:

The highest point on Earth is Mount Everest with a height of 8,848 meters. The lowest point on Earth is the Mariana Trench, with a height of -11,034 meters. A height of 0 corresponds to sea level (the height of the world's oceans). What is the vertical distance between Mount Everest and Mariana Trench? Write the expression then solve it.

Answers

Answer:

The vertical distance between Mount Everest and Mariana Trench will be 19,882 ft

Step-by-step explanation:

Here, we want to get the vertical distance between the highest point on the Earth and the lowest point on the Earth

To find the vertical distance, we simply subtract the height of the lowest point from the height of the highest point

Mathematically, that would be;

8848 - ( 11, 034) = 19,882 ft

Find the missing endpoint if one endpoint is at (5.-7) and the midpoint is at (15.1).

Answers

Answer:

(25, 9)

Step-by-step explanation:

Given Point (5, -7) and midpoint (15, 1)To findMissing endpointSolution

Midpoint formula:

x = (x1 + x2)/2, y = (y1 + y2)/2

Substituting values:

15 = (5 + x2)/2 ⇒ 5 + x2 = 30 ⇒ x2 = 30 -5 ⇒ x2 = 251 = (-7 + y2)/2 ⇒ -7 + y2 = 2 ⇒ y2 = 2 - (-7) ⇒ y2 = 9

Missing endpoint is:

(25, 9)

Find the GCF of the terms of the polynomial.
35Z^4 - 70z3 + 14z2

Answers

Answer:

7z^2

Step-by-step explanation:

The GCF term of the polynomial is

7Z^2



Solve for y When x = -2

Answers

where’s the rest of the problem?

ASAP | Solve the following inequality

Answers

Answer:

-7<x<-6

Step-by-step explanation:


3 Timothy wants to rent a car for his trip. The cost, in dollars, of a n-day long rental can be represented by
the following sequence:
112, 162, 212, 262.....
Which statement is true?

A) The cost can be represented by the explicit formula
a = 112 + 50(n - 1).
B) The cost can be represented by the recursive formula
a = a,- 1 - 50
C) The cost can be represented by the explicit formula
an = 50 + 112(n - 1).
D) The cost can be represented by the recursive formula
ana-1 + 112
HELP!!!!

Answers

Step-by-step explanation:

D, because they didn't say 50 anywhere in the question that's what I think? i put D

Solve for m. 4+ |7 _ m |=5​

Answers

assuming that the underscore is a subtraction sign, m=6, m=8
M=6 M=8


Hope that helpssssss have a nice dayyyyyy:)

A student rewrote 4(3x+10) as 12x+10 what’s the erro
Need help plz

Answers

Answer

12x+40

Step-by-step explanation:

when distributing, you have to multiply all numbers in the parentheses by the variable outside the parentheses

Answer:

he distributed incorrectly. the correct answer is 12x + 40

Step-by-step explanation:

so you have to multiply 4×3x and 4×10

4×3x=12x

4×10=40

so 12x + 40

Which of the following is a way to find the value of −4 + (−6)?

Answers

theres no options to choose from, but in order to solve any equation like that, heres a tip!!

if youre adding a negative number, all youre really doing is subtracting a number. if you're subtracting a negative, you're just adding the number!!

let me know if you have any other questions!! hope this helps you!! <3

Other Questions
what is greater 6.67 or 6.670 The picture shows a model of a cell.What is the main function of the parts labeled Xin the model?O A. To store enzymes that break down foodB. To provide cells with energy for their activitiesC. To use energy from sunlight to make sugarsD. To hold and protect the cell's DNA Identify the following reaction as an endothermic reaction, exothermic reaction, or both endothermic and exothermic: Dissolving NH4Cl in water to make a cold pack. please help !! will give thanks and 5 star and brainliest ! What is the momentum of a 15 kg tire rolling down a hill at 3 m/s?5 kg m/s18 kg m/s45 kg m/s60 kg m/s Bonds often pay a coupon twice a year. For the valuation of bonds that make semiannual payments, the number of periods doubles, whereas the amount of cash flow decreases by half. Using the values of cash flows and number of periods, the valuation model is adjusted accordingly. Assume that a $1,000,000 par value, semiannual coupon U.S. Treasury note with three years to maturity (YTM) has a coupon rate of 3%. The yield to maturity of the bond is 7.70%. Using this information and ignoring the other costs involved, calculate the value of the Treasury note: $1,051,447.12 $876,205.93 $744,775.04 $552,009.74 What did King James I grant to groups of merchants to organize settlements in an area in America? Find the difference.-32 - 4 Which of the following best explains why the continental congress sent the olive branch petition to the English king Cameroon Corp. manufactures and sells electric staplers for $16 each. If 10,000 units were sold in December, and management forecasts 4% growth in sales each month, the number of units of electric stapler sales budgeted for March should be:_______ Mrs. Cook wants to give each of her 24 students the same amount of candy. If each package of candy has 36 pleces InIt, how many packages of candy should she buy so that there will be none left over?4352 How are tsunamis created due to tectonic plates I need help on what is mental health! PLEASE ANSWER THIS!I NEED HELP WITH ENGLISH ON APEX! I WILL GIVE BRAINLIEST!!!! What do all elements in a column in the periodic table have in common? (2 points)OaTheir atoms have the same number of valence electrons.ObTheir atoms have the same atomic mass.Their atoms have the same number of protons and electrons.OdTheir atoms have the same number of neutrons. Marcel was writing an article for his school paper and read a report that said 2 out of every 20 items purchased at a clothing store were returned. What percent of items were returned to the clothing store? A 10 cm thick grindstone is initially 200 cm in diameter, and it is wearing away at a rate of LaTeX: 50cm^3/hr. At what rate is it's diameter decreasing What happened when the Aswan Dam was built?Pyramids were built.Tombs were moved.Monuments were built.Palaces were moved. HELPPPPPP PLEASEEERHow do the lyrics capture the meaning and message of the original text the farmer refuted ANSWER THIS MATH QUESTION FOR ME IGNORE THE ALREADY SELECTED ANSWER CHOICE !