The cost of admission to a festival was $112 for 9 children and 3 adults. The admission was $108 for 8 children and 3 adults in another festival. How much was the admission for each child and adult?

Answers

Answer 1

Answer:

cost of admission for each child was $4.00, and each adult was $25.33

Step-by-step explanation:

When solving questions like these , I like to break down the problem so I understand it better.

Let x ---> cost of the admission for each child

Y ---------> cost of the admission for each adult

9x+3y = 112 ---> equation A

8x + 3y = 108 ---> equation B

Subtract B from A

9x+3y=112

-8x+3y = 108

x = 112-108

x = 4

Find value of y by substituting value of x into equation

9(4)+3y=112

Solve for y

36+3y = 112

3y = 112=36

3y = 76

y = 25.33


Related Questions

1. It takes you 2 hours to travel 110 miles. How far can you travel in 5 hours?

Answers

Answer:

275 miles

Step-by-step explanation:

110/2 = 55 miles

you travel 55 miles an hour

multiply that by 5 to get your answer

equals 275 miles

Hope this is helpful.

Answer:

275 miles in 5 hours

Step-by-step explanation:

110/2 is 55. 55 is 1hour so multiply 55 times 5 and thats your answer.

Find the slope, x-intercept, and y-intercept
of the line 3x + 5y = - 15.
-
Slope =
=
X-intercept =
unWS
Y-intercept=

Answers

Answer:

Slope:[tex]-\frac{3}{5}[/tex]

Y-intercept:-3

X intercept:-5

Step-by-step explanation:

La casa de Camilo está a 4 cuadras a la derecha de la casa de Andrés, la casa de Rodrigo está a 2 cuadras a la izquierda de la casa Camilo ¿Cuántas cuadras hay entre las casas de Andrés y Rodrigo?.

Answers

La casa de Rodrigo está dos cuadras a la derecha de la casa de Andrés.

En esta pregunta, debemos leer el enunciado y obtener las ecuaciones equivalentes antes de obtener su solución. En este caso tenemos las siguientes dos ecuaciones:

(i) La casa de Camilo está a 4 cuadras a la derecha de la casa de Andrés.

[tex]c - a = 4[/tex] (1)

(ii) La casa de Rodrigo está a 2 cuadras a la izquierda de la casa de Camilo.

[tex]r - c = -2[/tex] (2)

Si sumamos (1) con (2), entonces obtenemos la siguiente ecuación entre las casas de Andrés y Rodrigo:

[tex]r - a = 2[/tex]

En síntesis, la casa de Rodrigo está dos cuadras a la derecha de la casa de Andrés.

Invitamos cordialmente a ver esta pregunta sobre aritmética: https://brainly.com/question/6357882

Tonis cat weighs 2,240 grams. How many kilograms does her cat weigh? Use 100 grams = 1 kilograms to convert the rates.

Answers

Answer: 2.24

Step-by-step explanation:

Firstly, one kilo is 1000 grams, not 100. 2240/1000=2.24

Toni's cat weighs 22.4 kilograms.

To convert grams to kilograms, we divide the weight in grams by the conversion rate of 100 grams per 1 kilogram.

For Toni's cat weighing 2,240 grams, we divide 2,240 by 100 to get the weight in kilograms.

2,240 grams / 100 grams per kilogram = 22.4 kilograms.

Therefore, Toni's cat weighs 22.4 kilograms.

The conversion rate of 100 grams to 1 kilogram allows us to easily convert weights from smaller units (grams) to larger units (kilograms). In this case, dividing the weight in grams by 100 gives us the weight in kilograms, providing a simple way to convert between the two units.

Learn more about conversion here

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Which expression is a quadratic binomial?
A.) x^2 - 16x
B.) 12x^4 + 3x^2 - 6x - 1
C.) 9x^2
D.) 6x^4 - 12x

Answers

Answer:

A

Step-by-step explanation:

A quadratic is 'involving the second and no higher power of an unknown quantity or variable.'

Therefore, we can exclude b and d easily because both have a higher power of 2. 9x^(2) is not a binomial because it only has 1 term (i think its called a term) leaving A, x^2-16x as the only answer left.

Can you explain how to solve this please?

Answers

9514 1404 393

Answer:

  -25

Step-by-step explanation:

Consult your memory of multiplication tables to determine the square root of 100.

  10×10 = 100

  √100 = 10

Then multiply that value by -2.5

  -2.5×10 = -25

___

Of course, you can use a calculator or spreadsheet to evaluate this expression, too.

-
How many solutions does the equation 2 + 6(x - 4) = 3x - 18 + 3x have?

A)0
B)1
C)2
D) Infinite

Answers

Answer:

C because it's a quadratic equation and it can be solved by factorization and completing the square method and also general formula

angle at centre is 108 degree and the area is 4620cm find the radius​

Answers

Answer:

Ffggf

Step-by-step explanation:

Find the slope of the line that passes through (1, 13) and (10, 6).

Answers

Answer:

-7/9

Step-by-step explanation:

Using the slope formula

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

   = ( 6-13)/(10-1)

    = -7/9

Giving out brainliest if you answer correctly

Answers

Answer:

1

Step-by-step explanation:

Substitute the values for their respective variables.

[tex]\frac{ac}{b^2+1}\\\\\frac{(2)(5)}{(3)^2+1}\\\\\frac{10}{9+1}\\\\\frac{10}{10}\\\\1[/tex]

pls can anybody give answers for 1 , 2 , 3 , 4 questions

Answers

Answer:

1 and 2

1 and 5

10 and 0.1

the last is unreadable

Step-by-step explanation:

To the nearest tenth, what is the BEST estimate of the value 5√10

Answers

Answer:

15.8 i think

Step-by-step explanation:

x+4/5x=180 plz show work

Answers

Answer:

The answer is 100.

Step-by-step explanation:

I started with solving 4 divided by 5. It was 0.8. I then started going thru 1 to 10 to 20 to 50 to 100. I was comparing big numbers. I then realized 100+0.8 times 100 = 180!

Answer: [tex]x=100[/tex]

If the equation is [tex]x+\frac45 x = 180[/tex] we add on the LHS: [tex]x(1+\frac45) = 180 \rightarrow x(\frac55+\frac45)= 180\\\frac95 x = 180[/tex]

At this point we divide both sides by 9 and multiply by 5:

[tex]x=\frac 59 (180) = \frac59 (2\times 9 \times 10) = 100[/tex]

The table shows the heights of three different rock formations that Jeremy is considering. Rewrite the equation for the line of best fit. Then use the equation to predict how long it will take to climb and come back down the three rock formations.

Type the correct answer in each box. Round your answers to the nearest hundredth.

Answers

Answer:

Step-by-step explanation:

45–120

75–215

145–400

Step-by-step explanation:

This table shows the heights of three different rock formations that Jeremy is considering.

45-120

75-215

145-400

What is the simple definition of the equation?

1: Statement about the equivalence of two formulas. 2: An expression that expresses a chemical reaction using a chemical symbol.

What is an equation? What is the type of equation?

There are two types of equations, identities and constraint equations. The ID applies to all values ​​of the variable. Constraint equations apply only to specific values ​​of variables. The equations are described as two equations joined by an equal sign ("=").

To learn more about an equation, at

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a^1/2 x a^3/2 divide (a^3)^4

Answers

Answer:

3x

Step-by-step explanation:

1/2 + 1/8 + 3/4 as a fraction

Answers

Answer:

[tex]1\frac{3}{8} aka \frac{11}{8}[/tex]

Step-by-step explanation:

to start, think of them as decimals

1/2 = 0.5

1/8 = 0.125

4/4 = 0.75

if you add them, youll get 1.375

as a fraction this is [tex]1\frac{3}{8} aka \frac{11}{8}[/tex]

Write an equation of the line with the given slope and y-intercept: m = 2, b = negative three-fourths a. y = negative 2 x + three-fourths b. y = 2 x minus three-fourths c. y = negative 2 x minus three-fourths d. y = 2 x + three-fourths

Answers

Answer:

y = 2x - 3/4  Answer b

Step-by-step explanation:

slope intercept form is

y = mx + b

m is the slope  = 2

b is the y-intercept = -3/4

therefor

y = 2x - 3/4  Answer b

need help with math

Answers

Ah sorry I got it wrong, dear

B. 1/2

Explanation: 1/4 of grape juice as already in the bottle and then a mixture containing orange, grape and apple filled the bottle meaning the mixture was 3/4. If the mixture contained equal amounts of each juice it means 1/3 of each juice was in the mixture so 1/4 plus 1/4(the original amount of grape juice that was in the bottle before the mixture was added) is equal to 2/4 simplify that and you have 1/2

Candy is sold out in 4 pound bags. How many full

Answers

Full what exactly it is not specified what you need

Find the missing coefficient in the equation of the line that passes through the given point Write the completed equation 3x + By = 97, (21, - 4)

Answers

Answer:

[tex]-\frac{17}{2}[/tex]

Step-by-step explanation:

Substitute the point (21,-4) in for [tex]x[/tex] and [tex]y[/tex] in the equation making

[tex]3(21)+B(-4)=97[/tex]

Simplify and solve

[tex]63-4B=97[/tex]

[tex]-4B=34[/tex]

[tex]B=-\frac{17}{2}[/tex]

What is the slope of this graph?

1. - 1/3
2. 1/3
3. -3
4. 3

Answers

-3

find two points then do rise over run
the rise is -3 and the run is 1 which just makes it -3.

Jessica has £600.
She gives 50% to her mother.
Jessica gives 10% to her brother.
She keeps the rest.
How much money does Jessica keep?

Answers

Answer:

she keeps 270

Step-by-step explanation:

have of 600 is 300 10 percent of 300 is 30

300-30 is 270

Can someone please explain how to find the answer please.

Answers

Answer:

36 / 21 = h / 168 so h = 168 (12 / 7)

Step-by-step explanation:

i dont know how to explain it

solve the median of 4,5,3,4,3,1

Answers

Answer:

arrange them in order = 1,3,3,4,4,5

then cancel them slowly from both side = 3,3,4,4

until u find a single number or two number.

for two number which is same as this do (3+4)/2 which is 7/2 = 3.5

Step-by-step explanation:

4,5,3,4,3,1 (n = 6)

[tex] \\ \tt median = \frac{n + 1}{2} [/tex]

[tex] \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{6 + 1}{2} [/tex]

[tex] \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{7}{2} [/tex]

[tex] \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.5[/tex]

The circumference of a circle is 14.444 miles. What is the circle's diameter?

Answers

Answer:

2.29883

formula

[tex]c = 2 \times \pi \times r[/tex]

solving for (r) radius

[tex]r = \frac{c}{2\pi} = \frac{14.44}{2 \times \pi} [/tex]

= 2.29883

Will give brainliest!

Select all tables that represent a proportional relationship between x and y.

Answers

Answer:

A & D

Step-by-step explanation:

A:

[tex]y = \frac{6}{5} x[/tex]

D:

[tex]y = 4x[/tex]

Please help Please help

Answers

Answer:

with what

Step-by-step explanation:

How many solutions does the
system of equations below have?

Y=2x - 6
y=5/9x+9/4

Answers

Answer:

2

Step-by-step explanation:

next two the = there are 2 ys

Answer:

Only 1

Step-by-step explanation:

It does not have the same slope thus meaning its not it does not have infinite or no solution, which leaves out 1 solution



1. A roller coaster holds 30 people. There are 252 people waiting for a ride. How

many times will the roller coaster need to run so that all 252 people get a ride

Answers

Answer:

They would need to wait almost 9 times to ride.

Step-by-step explanation:

252 divided by 30 equals 8.4.

A square park has an area of 120 m2

a) What are the dimensions of the park? Give your answer to the nearest metre.
b) If fencing costs $18.50/m, how much would it cost to install a fence around the park?
Show your work

Answers

Answer:

The dimensions of the Park is120m2

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