The Roller family spends $134 on 2 adult tickets and 3 youth tickets at an amusement park. The Coaster family
spends $146 on 3 adult tickets and 2 youth tickets at the same park. Find the price of adult and youth tickets,

Answers

Answer 1

Answer:

34 adult ticket and 22 youth tickets

Step-by-step explanation:

Let the price of adult be x

Let the price of youth tickets be y

If the Roller family spends $134 on 2 adult tickets and 3 youth tickets at an amusement park, then;

2x+3y = 134 .... 1

Also if the Coaster family  spends $146 on 3 adult tickets and 2 youth tickets at the same park then;

3x+2y = 146 ..... 2

Solve simultaneously

2x+3y = 134 .... 1 * 3

3x+2y = 146 ..... 2 * 2

_____________

6x+9y = 402

6x+4y = 292

Subtract

9y-4y = 402-292

5y = 110

y = 110/5

y = 22

Substitute y =22 into 1;

From 1;

2x+3y = 134

2x+3(22) = 134

2x+66 = 134

2x = 134-66

2x = 68

x = 34

Hence there are 34 adult ticket and 22 youth tickets


Related Questions

Solve the system of equations
negative x plus 2 y equals 2
minus x plus y equals negative 1

Answers

Answer:

Www

Step-by-step explanation:

Answer:

×2y aquel 2minus ×plus y equals negative1

Your uncle is 2 years older than 3 times your age.

You are x years old. Write an expression to describe your uncles age.

It would be a lot helpful if you could answer this! :D

Answers

you are x

three times is 3x

2 years older is 3x + 2

Answer:

3x+2

Step-by-step explanation:

3 times x plus 2 since he's 2 years older than that

Figure ABCD is a trapezoid. Find
the value of x.
B.
3x + 2
C
13
4x + 3
А"
D
X= [?]

Answers

Answer: 3

Step-by-step explanation:

guys i really need help I'm so lost​

Answers

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

2 raised to 4 =2×2×2×2 =16. ; 3 raised to 2 =3×3=9.

=16-9-2

=5

That's it , Very easy

A submarine travels at an elevation of -75 3/4 ft relative to sea level. Then its elevation changes by -16 3/8 ft. What is the new elevation of the submarine? Show your work

Answers

Answer:

The new navigation height of the submarine is -62.25 feet.

Step-by-step explanation:

Given that a submarine travels at an elevation of -75 3/4 ft relative to sea level, and then its elevation changes by -16 3/8 ft, to determine what is the new elevation of the submarine the following calculation must be performed:

3/4 ft = 0.75 ft

-75 x 0.75 = -56.25 ft

3/8 ft = 0.375 ft

-16 x 0.375 = -6 ft

-56.25 + -6 = -62.25

Thus, the new navigation height of the submarine is -62.25 feet.

30 POINTS PLUS BRAINLIEST PLEASE ANSWER THESE MATH QUESTIONS.ALL TROLL ANSWERS WILL BE REPORTED MUST HE DONE IN 1HR OR.LESS.

Answers

Answer:

4) wall = 114 ft^2

$118.56 to paint

5) 77 cm^2

Step-by-step explanation:

4) (15 x 8)-(2 x 3)=120-6=114 ft^2

114 x $1.04 = $118.56

5) (14 x 3.5) + (8 x 3.5) = 49 + 28 = 77 cm^2

Answer:

4:

114,$118.56

5. 77

Step-by-step explanation:

To find the area of the wall, you multiply 15 x 8, then subtract (2 x 3) from that answer.

15 x 8 = 120

120 - (3 x 2) =

120 - 6 = 114ft^2

To find the cost, multiply the area by the cost:

1.04 x 114 = $118.56

Since the side with 3.5 cm is congruent with another side, that means that side is also 3.5 cm. I like to break up the figure in this situation, into 2 rectangles. The first is 8 cm x 3.5 cm, and the other being 3.5 cm x 14 cm.

8 x 3.5 = 28 cm^2

14 x 3.5 = 49cm^2

Add together to get the area:

49 + 28 = 77 cm^2

a) Dati cinci exemple de numere intregi mai mici ca zero.​

Answers

Answer:

Numerele întregi pozitive sunt toate numerele întregi mai mari decât zero: 1, 2, 3, 4, 5, .... Numere întregi negative sunt toate opusele acestor numere întregi: -1, -2, -3, -4, -5, .... Nu considerăm că zero este un număr pozitiv sau negativ. Pentru fiecare număr întreg pozitiv, există un număr întreg negativ, iar acești numere întregi se numesc opuse. De exemplu, -3 este opusul lui 3, -21 este opusul lui 21 și 8 este opusul lui -8. Dacă un număr întreg este mai mare decât zero, spunem că semnul său este pozitiv. Dacă un număr întreg este mai mic decât zero, spunem că semnul său este negativ.

Step-by-step explanation:

Which of the following sets does NOT represent a function.
O {(1,9), (-1,-9),(2,9), (-2, -9) }
O {(1,-9), (2,-5), (-1,9), (-2,5)}
O {(1,9) (-1,5), (2, -9), (-2,-5) }
O {(1,9), (1,-9), (2,5),(2,-5) }

Answers

Answer:

last one, the same X cant have more than one Y.

After two six-sided dice are rolled, what is the probability that the dice faces add up to either a 4 or 6?
0.222
0.139
0.167
0.083

Answers

Answer:

0.222

Step-by-step explanation:

out of 36 outcomes you have 8 possible outcomes for a '4' or '6':

1,5

5,1

3,3

2,4

4,2

2,2

1,3

3,1

8/36 = 2/9 = .2 repeating

The probability that the dice faces add up to either 4 or 6 is 0.222.

What is Probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

Here, After two six sided dice are rolled,

Hence, Total outcomes = 36

So, Probability of getting sum 4 that is,  {(1, 3), (2, 2), (3, 1)};

P = 3/36    

And, Probability of getting sum 6 = 5/36

Hence, Total Probability of getting sum either 4 or 6 = 3/ 36 + 5/36

                                                                         = 8/36

                                                                         = 2/9

                                                                         = 0.222

Thus, the probability that the dice faces add up to either 4 or 6 is 0.222.

Learn more about Probability from:

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what is 691÷3 in long division

Answers

Answer:

230.33333.

Step-by-step explanation:

To know how much 691/3 is in long division, the following mathematical calculation must be performed, taking into account that long divisions seek to divide both the whole numbers and the decimals of the number:

691/3 = 230 (1 left over)

1/3 = 0.333333

230 + 0.33333 = 230.33333

Therefore, 691 divided by 3 results in 230.33333.

What is the y intercept for y=6x+7/2

Answers

7/2


y = mx + b
M is 6
B is 7/2

Which do the following options represent the measure of arc RA

A.38.6
B.65.6
C.71.4
D.77.2

Answers

Answer:

77.2°

Step-by-step explanation:

Consider the triangle JKR.

∠KJR=108.6 (lies on the same line as ∠RJA, angles on a straight line add up to 180)

All the angles in a triangle add up to 180, so:

∠JKR+∠KJR+∠JRK=180

∠JKR+108.6+32.8=180

∠JKR=38.6=∠RKA

Consider ∠RKA. This angle stands on the same arc as ∠RCA.

Since the angle at centre is twice the angle at circumference, 2(∠RKA) = ∠RCA.

2(∠RKA) = ∠RCA

2(38.6)=∠RCA

∠RCA=77.2°

Consider these functions

f(x) = 4x^3 - 10

3x - 4
g(x) = _______
2

What is the value of g(f(2))

A. -6
B. 2
C. 19
D. 31

Answers

Answer:  D) 31

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

Explanation:

The expression g(f(2)) has f(2) as the inner function.

Let's compute f(2)

This means we plug x = 2 into the f(x) function

f(x) = 4x^3 - 10

f(x) = 4(x)^3 - 10

f(2) = 4(2)^3-10

f(2) = 4*8-10

f(2) = 32-10

f(2) = 22

Now we'll plug this into the g(x) function

This is because g(f(2)) = g(22). I've replaced f(2) with 22

So,

g(x) = (3x-4)/2

g(22) = (3*22-4)/2

g(22) = (66-4)/2

g(22) = 62/2

g(22) = 31

Therefore, g(f(2)) = 31

The value of the function g(f(x)) at x = 2 will be 31. Then the correct option is D.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

f(x) = 4x³ - 10

g(x) = (3x - 4) / 2

The function g(f(x)) is written as,

g(f(x)) = [3(4x³ - 10) - 4] / 2

g(f(x)) = [12x³ - 30 - 4] / 2

g(f(x)) = [12x³ - 34] / 2

g(f(x)) = [6x³ - 17]

The value of the function g(f(x)) at x = 2 will be given as,

g(f(2)) = [6(2)³ - 17]

g(f(2)) = 6(8) - 17

g(f(2)) = 48 - 17

g(f(2)) = 31

The value of the function g(f(x)) at x = 2 will be 31. Then the correct option is D.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ5

There were 382 chairs in the music hall.Write a number greater than 382.

Answers

Answer:

383

Step-by-step explanation:

HELP QUICK GIVING 25 POINTS, Also use distrib property!!
Evaluate f(x) ∙ g(x) by modeling or by using the distributive property.
f(x) = (−3x^2 + 2) and g(x) = (−2x^3 − 5x + 4)

Answers

Answer:

6x^5 + 11x^3 - 12x^2 - 10x + 8

Step-by-step explanation:

(-3x^2 + 2) x (-2x^3 - 5x + 4)

Ok, so we need to do an advanced version of FOIL. We need to multiply -3x^2 by the other three numbers, then the same with 2. Then we add up like terms.

-3x^2 x -2x^3 = 6x^5

-3x^2 x -5x = 15x^3

-3x^2 x 4 = -12x^2

Now to do 2 x -----.

2 x -2x^3 = -4x^3

2 x -5x = -10x

2 x 4 = 8

Last, but not least, we combine like terms.

6x^5 + 11x^3 - 12x^2 - 10x + 8

Chase has been playing a game where he can create towns and help his empire expand. Each town he has allows him to create 1.13 times as many villagers as he had in the one before. The game gave Chase 4 villagers to start with. Explain to Chase how to create an equation to predict the number of villagers in any specific town. Then show how to use your equation to solve for the number of villagers he can create to live in his 17th town.

Answers

Answer:

Step-by-step explanation:

a sub n  = a sub 1 x r ^ n-1

a sub n = 17 since that's what's in question

a sub 1 = 4 since that's the starting amount

r = 1.13 since that's the difference 

a sub 17 = 4(1.13) ^17-1

a sub 17 = 4(7.0673255268)

a sub 17 = 28.2693021072

a sub 17 ≈ 28.37

Please vote brainliest

The number of villagers that Chase can create to live in his 17th town is 28.27.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

A.) As it is given that the number of villagers that Chase had, in the beginning, is 4, and the number of villagers will increase at the rate of 1.13 every time Chase conquers a new village. Therefore, if Chase had n number of towns then Chase had conquered (n-1) number of towns because Chase already had 1 village in the beginning, thus, the villagers will increase (n-1) number of times by the rate of 1.13 times. Therefore, the equation can be written as,

[tex]A = 4(1.13)^{(n-1)}[/tex]

Thus, the function that represents the number of villagers when chase conquered n number of villages is [tex]A = 4(1.13)^{(n-1)}[/tex].

B.) We already know the function that represents the number of villagers, therefore, the number of villagers when Chase had conquered 17 villages can be written as,

[tex]A = 4(1.13)^{(n-1)}\\\\A = 4(1.13)^{(17-1)}\\\\A = 28.27[/tex]

Hence, the number of villagers that Chase can create to live in his 17th town is 28.27.

Learn more about Function:

https://brainly.com/question/5245372

This is the equation

5(15+3)

Answers

Answer:

90

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

The 5 would distribute into the 15+3 so that it would be (15x5)+(3x5)

And then you would get 75+15 which is 90

First try was incorrect
Hall is baking a pie. The radius of the pie is 17 inches. What is the
area of the pie?
Use 3.14 for pi and round your answer to the nearest tenth.
label required

Answers

Answer:

907.5

Step-by-step explanation:

Formula to find the area of a circle: πr²

πr² = 3.14 x 17²

     = 3.14 x 289

     = 907.46

     ≈ 907.5

Hope this helps :)

Find the value of x in the triangle shown below.
5
12
Choose 1 answer:
x = 60
= V119
= 13
= 17

Answers

X will be equal to 13

Suppose a subdivision on the southwest side of Denver, Colorado, contains 1,500 houses. The subdivision was built in 1983. A sample of 120 houses is selected randomly and evaluated by an appraiser. If the mean appraised value of a house in this subdivision for all houses is $228,000, with a standard deviation of $8,500, what is the probability that the sample average is greater than $229,500?

Answers

Answer:

0.0268 = 2.68% probability that the sample average is greater than $229,500

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Single house:

The mean appraised value of a house in this subdivision for all houses is $228,000, with a standard deviation of $8,500, which means that [tex]\mu = 228, \sigma = 8.5[/tex]

Sample:

Sample of 120, so, by the central limit theorem, [tex]n = 120, s = \frac{8.5}{\sqrt{120}} = 0.7759[/tex]

What is the probability that the sample average is greater than $229,500?

This is 1 subtracted by the pvalue of Z when X = 229.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{229.5 - 228}{0.7759}[/tex]

[tex]Z = 1.93[/tex]

[tex]Z = 1.93[/tex] has a pvalue of 0.9732

1 - 0.9732 = 0.0268

0.0268 = 2.68% probability that the sample average is greater than $229,500

Which statement is true about this data set?
3,1, 6, 4, 4, 4, 3, 2, 5, 3

Answers

Answer:

What statements?

Step-by-step explanation:

Is there a list of statements for this question? I would love to help!

i) Coordinates of point P

a) (1,1) b) (1,2) c) (2,1) d) (1,0)

ii) Coordinates of point Q

a) (0,-3) b) (-3,0) c) (-3,-3) d) (0,3)

iii) Coordinates of point T

a) (-4,-2) b) (-2,-4) c) (4,-2) d) (-2,4)

iv) (Ordinate of T) – (Abscissa of R)

a) -4 b) 4 c) 0 d) -2

v) (Abscissa of Q) – (Ordinate of S)

a) -4 b) 4 c) 2 d) -2

Answers

Given:

Five points P, Q, R, S ,T on a coordinate plane.

To find:

The coordinates of (i) P, (ii) Q, (iii) T, (iv) (Ordinate of T) – (Abscissa of R) and (v) (Abscissa of Q) – (Ordinate of S).

Solution:

From the given graph it is clear that the coordinates of given points are

P = (1,1)

Q = (-3,0)

R = (-2,-3)

S = (2,1)

T = (4,-2)

(i)

Coordinates of point P are (1,1).

Therefore, the correct option is (a).

(ii)

Coordinates of point Q are (-3,0).

Therefore, the correct option is (b).

(iii)

Coordinates of point T are (4,-2).

Therefore, the correct option is (c).

(iv)

Ordinate is y-coordinate and abscissa is x-coordinate.

Ordinate of T = -2

Abscissa of R = -2

(Ordinate of T) – (Abscissa of R) = -2 - (-2)

                                                     = -2 + 2

                                                     = 0

Therefore, the correct option is (c).

(v)

Abscissa of Q = -3

Ordinate of S = 1

(Abscissa of Q) – (Ordinate of S) = -3 - 1

                                                      = -4

Therefore, the correct option is (a).

Help needed with this as soon as possible

Answers

Answer:

3

Step-by-step explanation:

it passes the vertical line test

hope this helps have a good day!

It is 3 just like the first guy said

Select all expressions that are equivalent to 64^2/3

Answers

Answer:

16

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

solve
(3r-1)(2r+2r+3)

Answers

ANSWER:
12r^2+5r-3

STEP BY STEP:
look at picture

Pl help it’s for a grade

Answers

Answer:

A

Step-by-step explanation:

Answer:

23 m, South

Step-by-step explanation: He traveled 25 m north then he went 48 m south so that means you would have to subtract 25 from 48 to get 23 m, south

3. Find the surface area of the cylinder. (1 point)
2009.6 in
401.9 in
803.8 in
602.9 in

Answers

Answer:

Option (3)

Step-by-step explanation:

Surface area of a cylinder is given by the formula,

Surface area = 2πr(r + h)

Here, r = radius of the circular surfaces

h = Height of the cylinder

From the figure attached,

r = 8 in.

h = 8 in.

Therefore, Surface area of the cylinder = 2π(8)(8 + 8)

                                                                 = 256π

                                                                 = 803.8 in² [If π = 3.14]

Option (3) will be the correct option.

what THE fRiCk is 3 3/4 as a fraction Bigger than 1

Answers

Answer:

I am pretty sure that it is.

Step-by-step explanation:

Isn't 3 bigger than 1

Well i hope this helps

Have a great day!!!!!!!

Three is bigger than one so yes it is

can you help me in rule?

I am doing it right?

Answers

The rule would be ~y=4x+3~

Hope this helps

Have a great day/night

Feel free to ask any questions

Emma bought 7 notebooks for $8.75. How much would 2 notebooks cost?

Answers

Answer:

$2.50

Step-by-step explanation:

8.75 / 7= 1.25

1.25 * 2 =2.50

Other Questions
please answer this quick. will give brainliest which of the following equations uses the commutative property of addition to rewrite 1/4 + 2/5?a) 1/4 + 2/5= 5/20 + 8/20b) 2/5 + 1/4= 13/20c) 13/20 - 2/5= 1/4d) 2/4 + 1/5= 14/20 Use the ordered pairs shown in the table.Which equation represents the data in thetable? What current works best when the operatorencounters magnetic arc blow?DCEPACENCCAC Me podran decir 1 juego de ecuador y es instrucciones .Y si no es de ecuador que sea de Mxico pero con instrucciones Por favor es para hoy How many solutions to 10x - 6 = 10 x + 6 1. A wheel with spokes of length r has four massesattached at various points where the spokes intersect thecircumference of the wheel. The wheel and spokes aremassless and spokes are all 30 apart. Determine the nettorque on the wheel.(A) Zero (B) 22 (C) 13/2(D) 1 Two rectangular rugs are ordered at Cardis furniture: small rugs and large rugs. Small rugs are 36 inches long and 18 inches wide. Large rugs are 90 inches long and 45 inches wide.a. Are the rugs similar shapes? Explain your reasoning.b. Find the ratio of the two perimeters and the ratio of the two areas. Is there anything you notice about these ratios? What can you deduce?c. It takes 180 feet of yarn to create a square foot of either rug. How many inches of yarn are needed to make the small rug? How many feet or yarn is needed to make the large rug?d. If a skein of yarn costs $4.50 and one skein is exactly 180 feet of yarn, how many skeins of yarn are needed to make the large rug? Given this answer what is the lowest Cardis must sell the large rug in order to make a profitPLEASE HELP EVEN IF U CAN ANSWER JUST 1 How do you think the artist creates sculptures that vary in color and intensity? Almost all __________________ use the energy stored in _________ for their life cycle If a man is driving at a rate of 50 km per hour, how many kilometers will he travel in 30 minutes? A. 25 km B. 30 km C. 150 km D. 180 km 8 slices of pizza and 5 sodas cost $36.50. 4 Slices of pizza and 10 sodas cost $37. How much does a slice of pizza cost? How much does a soda cost?PLEASE HELP I need help with this please f(n) = 2 (-3)^ncomplete the recursive formula of f(n).f(1) = ____f(n) = f(n - 1) ____ here you can get free question answer things, so1+0 = ?u can get free helped peopleby this Choose all the ways the ratio of five girls to 9 boys can be written. the options are9:59 to 55:95 to 95/99/5 i need helppp im so confused. C gives the cost, in dollars, of a cafeteria meal plan as a function of the number of meals purchased, n. The function is represented by the equation C(n) = 4 + 3n. Find C(10) and explain what your answer means in context to the situation What is the area of the real bedroom? A closed, nonreactive system contains species Aand Bin vapor/liquid equilibrium. Species Ais a very light gas, essentially insoluble in the liquid phase. The vapor phase contains both species Aand B. Some additional moles of species Bare added to the system, which is then restored to its initial T and P. As a result of the process, does the total number of moles of liquidincrease, decrease, or remain unchanged? Sarah makes 1/2 pound of caramel popcorn and puts it in a bags that hold 1/8 of a pound which equation can used to find how many bags she can fill