An amusement park collected $15,513 in revenue from ticket sales one day. They charge $30 for adults and $9 for children. If there were 865 people in attendance that day, how many were adults?

Answers

Answer 1

The number of adults that are there will be 368 adults.

Let adults = a

Let children = c

The equation to solve the question will be:

a + c = 865 ....... i

30a + 9c = 15513 ...... ii

From equation i, c = 865 - a

Since 30a + 9c = 15513

30a + 9(865 - a) = 15513

30a + 7785 - 9a = 15513

30a - 9a = 15513 - 7785

21a = 7728

a = 7728/21

a = 368

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Related Questions

5) Imagine that a family just secured a loan for their new home with the following terms:
Loan amount: $160,000 Interest rate: 7% Length of loan: 30 years
Regular Monthly payments: $1064.48 (that is “R” already calculated for you!)
The wife, a sharp former MATH 170 student, suggests that if they make payments of HALF their regular monthly payments every two weeks (instead of a full payment once per month), they would pay off the loan much more quickly and save A LOT of money overall. Find the total amount they would save if they did this.
Hints (follow these steps): Find the half payment (one half of R that’s given!!). If payments are every two weeks, what is n (how many two weeks periods are there in one year?). Use those terms (new R and n) and solve for time. Now find total payments in this case (Rnt), and compare to original loan’s total payments.

I need a answer for this question and it has to be step by step

Answers

Answer:

150 student now school gema plyar

Which expression is equivalent to (xy-5)2 for all values of x and y where the expression is defined?

Answers

Answer:

hi hhhhhhdhwjwheheheuhehegdhue

Please answer the question in the picture, I will mark brainliest

Answers

Answer:

This is missing an explanation

Step-by-step explanation:

In this paragraph, there is no explanation as to why the reader should brush their teeth. The quote starts off by saying "You can brush and floss your teeth", yet only goes on to explain the reasons as to why flossing reduces your chances of getting cavities, and never touches on anything more about brushing. Therefore, the answer you are looking for is the last one, "This is missing an explanation".

Tablet pc comparison provides a wide variety of information about tablet computers. The company’s website enables consumers to easily compare different tablets using factors such as cost, type of operating systems, display size, battery life, and cpu manufacturer. A sample of 10 tablet computers is shown.

Answers

A) There are a total of 8 elements in the data set. The elements can be determined simply by counting the total number of tablets in the data set.

B) There are a total of five variables in the data set. These are as follows-

1. Cost  

2. Operating System

3. Display Size (inches)

4. Battery Life (hours)

5. CPU Manufacturer

C) Categorical Variables are generally the one that are descriptive in nature.

Here, the categorical variables are-

1. Operating System

2. CPU Manufacturer

Quantitative Variables are the numerical variables which are usually expressed in numbers, count or percentage.

Here, the quantitative variables are-

1. Cost

2. Display Size (Inches)

3. Battery Life (hours)

D) The nominal scale is used to assign the items which are divided into categories without having a specific order. The ratio scale has the property of identity and magnitude.

The type of scale is-

Cost ($) - Ratio Scale

Operating system - Nominal Scale

Display size (inches) - Ratio

Scale Battery life (hours) - Ratio Scale

CPU Manufacture - Nominal Scale

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Given f(x) = 4/3 x + 1 determine f^-1 (x)

Answers

Answer:

[tex] \sqrt[2]{?5} x25 \geqslant 6 - 9 + 88 = 2[/tex]

Answer:

f^-1(x)=(3/4)x

A grocery store sells four different jars of peanut butter. Determine which is the best​ buy, based on the cost per unit. 16 ounces for ​$1.70 20 ounces for ​$1.90
26 ounces for ​$3.33 40 ounces for ​$4.64

Answers

the best buy is 20 ounces for $1.90

(0.5r +1.2) - (3.6-4.5r) = (4.8-0.3x) + (10.5r +0.6)

Answers

Answer:

Step-by-step explanation:

2783 and 7283
The value of 2 in ____is ____ times
The value of 2 in ______

Answers

The value of 2 in 2783 is 10 times the value of 2 in 7238

What is place value?

Place value of a number can be defined as the position of each digit in a number.

It is the value represented by a digit in a number on the basis of its position.

It is also known as system in which the position of a digit in a number determines its value.

Example:

The place value of 5 in 3500 is 500

The place value of 2 in 3240 is 200

Given the values:

2783 and 7283

The place value of 2 in 2783 is 2000

The place value of 2 in 7283 is 200

Find the quotient, we have:

= 2000/ 200

= 10

The value of 2 in 2783 is 10 times the value of 2 in 7238

Thus, the value of 2 in 2783 is 10 times the value of 2 in 7238

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A café that has an area of 350 square feet is being expanded to occupy an adjacent space that has an area of 150 square feet. Identify the diagram of the remodeled café in a coordinate plane

Answers

Answer:

The answer is the bottom right diagram.

Step-by-step explanation:

If x² + 6x + 16 = (x + a)² + b for all values of x, find the values of a and b.

Answers

Answer:

find the value of 8x³-y³ if 2x-yand xy

=-1

Help me please i need urgently

Answers

The equation of the line passing through points (-3,0) and (0,3) is y=x+3.

The equation of the line passing through two points (x₁,y₁) and (x₂,y₂) can be calculated using the formula y-y₁=m(x-x₁)   ,  where m denotes the slope of the line .

from the given graph we can find that the line passes through the two points (-3,0) and (0,3)

we get the values , as x₁=-3 , x₂=0 and y₁=0 , y₂=3 .

Slope of the line can be calculated by using the formula ,

m=(y₂-y₁)/(x₂-x₁)

Substituting the values we get ,

m = (3-0)/(0+3)

m=3/3 = 1

Now substituting the values of x₁, x₂, y₁, y₂ and m in the formula of equation of line we get ,

y-0=1(x-(-3))

y-0=1(x+3)

y-0=x+3

y=x+3

Therefore , the equation of the line passing through points (-3,0) and (0,3) is y=x+3.

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Based on a​ poll, among adults who regret getting​ tattoos, 27​% say that they were too young when they got their tattoos. Assume that nine adults who regret getting tattoos are randomly​ selected, and find the indicated probability. Complete parts​ (a) through​ (d) below.

Answers

There is a 0.2073 = 20.73% chance that none of the adults that were chosen would state that they were underage when they got their first tattoo.

This is further explained below.

Find the probability that none of the selected adults say that they were too young to get tattoos.?

Generally,  the equation for Binomial probability distribution is  mathematically given as

[tex]P(X=x)=C_{n, x} \cdot p^x \cdot(1-p)^{n-x}[/tex]

Therefore

P(X=0)

[tex]\begin{aligned}&P(X=x)=C_{n, x} \cdot p^x \cdot(1-p)^{n-x} \\&P(X=0)=C_{5,0} \cdot(0 \cdot 27)^0 \cdot(0.73)^5=0.2073\end{aligned}$$[/tex]

In conclusion, There is a 0.2073 = 20.73% chance that none of the adults that were chosen would state that they were underage when they got their first tattoo.

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Amir drove from Jerusalem to the lowest place on Earth, the Dead Sea.
His altitude relative to sea level (in meters) as a function of time (in minutes) is graphed.
What was Amir's altitude at the beginning of the drive?

Answers

The equation of Amir's altitude relative to sea level (in meters) and time (in minutes) is: y=-12x+360.

What is Straight line?

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined on both sides of a point.

First of all let's write the slope-intercept form of the equation of a line, which is:

y=mx+b

where m is the slope and b is y intercept.

So we just need to find  m and b to solve this problem.

Moreover, this problem tells us that Amir drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. So this rate is the slope of the line, that is:

m=-12

Negative slope because Amir is descending. So:

y=-12x+b

To find b, we need to use the information that tells us that he was at sea level after 30 minutes of driving, so this can be written as the point (30,0
). Therefore, substituting this point into our equation:

y=-12x+b

0=12(30)+b

0=-360+b

b=360

Finally, the equation of Amir's altitude relative to sea level (in meters) and time (in minutes) is:

y=-12x+360.

Therefore  the equation of Amir's altitude relative to sea level (in meters) and time (in minutes) is: y=-12x+360.

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оп 6 от о
Select the correct answer.
Which expression is equivalent to the given expression?
-5y2 +50y - 105

(5y 35) (-y + 7)
(-5y + 21) (y - 5)
O-5(y - 3)(y-7)
-5(y + 21) (y + 1)
-

Answers

The value of the expression become 5(y-3) (y-7) = 0. Thus , The option C is correct.

According to the statement

We have to find that the value of the given expression.

So, For this purpose, we know that the

Algebraic expression definition, a symbol or a combination of symbols used in algebra, containing one or more numbers, variables, and arithmetic operations

From the given information:

-5y^2 +50y - 105

Now to find the value of this

Rearrange the expression by taking the common values from this.

then

-5y^2 +50y - 105 = 0

-5y^2 +50y - 105 = 0

5(-y^2 +10y - 21) = 0

5(-y^2 +10y - 21) = 0

5(y^2 - 10y + 21) = 0

Now make factors of it then

5(y^2 - 7y - 3y + 21) = 0

5(y (y -7) -3(y-7)) = 0

5(y-3) (y-7) = 0

So, The value of the expression become 5(y-3) (y-7) = 0. Thus , The option C is correct.

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Round this number to the nearest ten thousand.
84,759
A. 80,000
B. 84,000
C. 85,000
D. 90,000

Answers

Answer:

Step-by-step explanation:

Answer:

80,000 A

Step-by-step explanation:

it is under 85000 so it is rounding down to 80,000

HELP PLEASEEEEEEEEEEEEEE

Answers

Answer:

Step-by-step explanation:

Solve parts of equation in order:

Brackets

Indices

Division

Multiplication

Addition

Subtraction

8 + 2 x 7 - 9 = 63

8 + (2 x 7) - 9  not = 63   (multiplication is the first thing that applies to this equation)

(8 + 14) - 9  not = 63

22 - 9 = 13

So the error would be it equals 13 not 63

Answer:

9 is supposed to be 7

Step-by-step explanation:

8 + 2 = 10

10 × 7 = 70

70 - 7 = 63

How long does it take to ride a bicycle 100 miles at each of the following speeds: 5 mph, 10 mph, 15 mph, 20 mph, 25 mph? What is always true about the product speed x time?

Answers

Answer:

5mph=20 hours to do 100 miles with a bicycle

10mph=10 hours to do 100 miles with a bicycle

15mph=6hours 40minutes(maybe)to do 100miles with a bicycle

20mph=5 hours to do 100miles with a bicycle

25mph=4 hours to do 100 miles with a bicycle

the faster u go the time will decrease

the slower u go the time will increase

hope that helped I didn't really understand much

PLSSS HELP ANSWER, THE QUESTION IS IN THE SCREENSHOT

Answers

Answer:

Option 3

Step-by-step explanation:

When y is positive, there is always increase.

Eliminate options 1 and 2.

When y is negative, there is always decrease.

Eliminate option 4.

Find the distance between the pair of points: (-14, 9) and (3, 9)

Answers

Answer:

[tex] \large{ \boxed{ \star{ \tt \: answer : 14 \: units}}}[/tex]

Please see the attached picture for full solution!

-------- HappY LearninG <3 -----

Amazon is offering a $17.95 discount on a pair of wireless headphones. You pay $71.80 for the headphones after the discount. Write and solve an equation to find the original price of the headphones.



Use "x" for your variable

Answers

Answer:

x - 17.95 = 71.80

Use the commutative property of addition

71.80 + 17.95 = 89.75

$89.75 was the original price.

Step-by-step explanation:

Hope it helps! =D

A planet in another solar system has a solar constant S = 2,000 W/m2, and the distance between the
planet and the star is 100 million km.
What is the total power output of the star? (Give your answer in Watts.)

Answers

3.5 * [tex]10^{9}[/tex] WATTS IS THE TOTAL OUTPUT OF THE STAR

WHAT IS POWER ?

Electrical power is the rate at which electrical energy transforms into another form, such as motion, heat, or an electromagnetic field. The capital P is frequently employed as a symbol representing authority. The universal unit is the watt, which is represented by the letter W. Utility circuits typically have a kilowatt (kW) indication, which is 1000 W.

CALCULATION

Summarized Version:

1-The values of the solar constants were imparted to us by our planet, the first object in our solar system.

2-We therefore know the value of the solar constant for the given solar system, which consists of a planet and the star it orbits.

3-Therefore, if you assume that the orbit is circular, the radius of the orbit will be determined by multiplying the value of the solar constant by 10 to the power 11 m and the radius.

4-We can therefore state that the star's power output is simply equal to the solar constant times the orbit's area.

5-What. So, this is the star's power output for the particular solar system.

The second part of the inquiry now asks what the solar constant will be if the distance between the planet and the star is reduced to 75,000,000 km.

6-We also need to determine what the new solar constant for the solar system will be.

So, in this case, power is equal to area times the solar constant once more.

The solar constant, multiplied by four, multiplied by 3.14, multiplied by are here is 75 multiplied by 10 to the power nine full square, giving us 25.12 multiplied by 10 to the power 25, which is equivalent to that.

We can calculate the value of the solar constant as follows: 25.12 multiplied by 10 to the power of 25 split by four; 3.14 multiplied by 75 square; and 10 multiplied by10.

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What is the difference between the largest prime number less than 50 and the sma
than 10?
O 35
O 36
O 37
O 38

Answers

largest primer number : 47
smallest prime number other from 10 : 11
47-11=36
0 35 is the right one I think so

help please i’ll give brainlist

Answers

Answer:

they all can't be divided

12. Eloise, Lucinda and Jennifer are given £150 by their aunt. They are told to share it in a 5:3:2 ratio. How much money will Lucinda receive?​

Answers

Answer:

£45

Step-by-step explanation:

sum the parts of the ratio , 5 + 3 + 2 = 10 parts

divide the amount by 10 to find the value of one part of the ratio.

£150 ÷ 10 = £15 , then

3 parts = 3 × £15 = £45 ← amount Lucinda receives

5x² - 20x + k = 0 has exactly one real solution, show that k=20​

Answers

Answer:

x = 2

Step-by-step explanation:

5x^2 - 20x + 20 = 0

5 (x^2 - 4x + 4) = 0

x^2 - 4x + 4 = 0

x             -2

x             -2

(x - 2)(x - 2) = 0

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

x - 2 = 0

x = 2

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

5x² - 20x + k = 0

k = - 5x² + 20x

k = - 5(2)² + 20(2)

k = -20 + 40

k = 20

Answer + Step-by-step explanation:

Consider the equation :

5x² - 20x + k = 0

∆ = b² − 4bc is the discriminant of the quadratic equation.

In our equation :

a = 5  ;  b= -20  ;  c = k

Then

∆ = (-20)² − 4×5×k

   = 20² − 20k

   = 20×(20 − k)   (Factoring)

The equation 5x² - 20x + k = 0 has exactly one real solution

if and only if  ∆ = 0.

Solving the equation ∆ = 0 :

∆ = 0

⇔ 20×(20 − k) = 0

⇔ (20 − k) = 0    (Zero product property)

⇔ k = 20

I know the answer is 4. But I do t understand how the answer arrived.

Answers

The right answer for the value of x is 4

Let us consider the small triangle to be ABC and the larger triangle to be ADE

where angle A is the common angle of both the triangle

By triangle proportionality theorem,

If a line parallel to one side of a triangle intersects the other two sides, the two sides are proportionally divided.

Thus line BC is parallel to DE and hence divides AB and AD as well as

AC and AE proportionally

Thus Triangle ABC is Similar to triangle ADE by SAS

Thus,

AB/BD=BC/DE=AC/CE

Thus, using AB/BD=AC/CE

it is given that AB=10,BC=7x-3,AC=8,CE=28-8=20

AB/BD=AC/AE

10/7x-3=8/20

10x20/8=7x-3

25+3=7x

x=4

Therefore, the correct value of the given X is 4

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Victor thinks that negative 28 / 6 Is greater than negative 100² root cubed. Sean thinks that 17 / 4 is greater. Who is correct

Answers

The numbers arranged in a sequence will be - ∛100² < - 4.67 < - 4.25 Both Victor and Sean are correct.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Victor thinks that negative 28 / 6 Is greater than negative ∛100². Sean thinks that 17 / 4 is greater.

The value of the number negative 28 / 6 will be - 4.67.

The value of the number negative ∛100² will be - 21.54.

And the value of the number negative 17/4 will be - 4.25.

The numbers are arranged in a sequence.

- ∛100² < - 4.67 < - 4.25

Both Victor and Sean are correct.

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10. Alice bought 2.3
pounds of apples for $2.99
per pound. How much did
she spend on apples?

Answers

2.3 x 2.99 = 6.877 so rounded to $6.88

the product of −16 and the difference of u and v.

Answers

I don't know if u want this but ya :)

Solution:

Let f(x) = (x+3)^(1/3).

First, we have

lim_(x → -3) f(x) = (-3+3)^(1/3) = 0 = f(-3)

So f(x) is continuous at a = -3.

Next we have

lim_(h → 0) [f(-3+h) - f(-3)] / h

= lim_(h → 0) h^(1/3) / h

= lim_(h → 0) 1 / h^(2/3)

= infty

Since the limit does not exist, f(x) is not differentiable at a = -3.

Answer: D

Give the equation of the line through (9,7) with y-intercept = -5

Answers

Answer:

y = 4/3x - 5

Step-by-step explanation:

y-intercept will be (0,-5)

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

m = (-5 -7)/(0 - 9) = (-12)/(-9) = 4/3

Using m = 4/3, y = 7, x = 9

y = mx + b

7 = 4/3(9) + b

7 = 12 + b

b = -5

so

y = 4/3x - 5

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