On a certain hot​ summer's day, 195 people used the public swimming pool. The daily prices are $1.75 for children and $2.25 for adults. The receipts for admission totaled $383.75. How many children and how many adults swam at the public pool that​ day?

Answers

Answer 1

Answer:

3x-x+2=4

Step-by-step explanation:

Children = x

Adults = y

x + y = 754...1

1.50x + 2.25y = 1422...2

Multiply (1) by 2.25

2.25x + 2.25y = 1696.50...3

1.50x + 2.25y = 1422...2

Subtract (2) from (3)

0.75x = 274.50

x = 366

Substitute x = 366 in (1)

x + y = 754

366 + y = 754

y = 388

366 children and 388 adults swam at the pool.


Related Questions

If f(x) = x2 + 1 and g(x) = x - 4, which value is equivalent to (fºg)(10)?

Answers

Answer:

2x - 3..... 2*10 - 3 = 17

Step-by-step explanation:

Fog) = g(fx)) = f(x) - 4 => 2x - 3

Answer:

37

Step-by-step explanation:

Substitute x = 10 into g(x), then substitute the result into f(x)

g(10) = 10 - 4 = 6 then

f(6) = 6^2 + 1 = 36 + 1 = 37

I'm having trouble with this, Unfortunately my teacher has a tight schedule tomorrow so I can't ask her, so I decided to come here, can someone clear it up. I'm not looking for the answer just help on it.

Use the function f(x) to answer the questions:

f(x) = 2x2 − 5x + 3

Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)

Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)

Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)

Answers

Answer:

Step-by-step explanation:

Part A)

For equation f(x) = 2x² - 5x + 3, to find x intercepts let y=0 then solve x,

2x² - 5x + 3 = 0 -> (2x + 1)(x -3) = 0 , can find x - intercepts from here

x = ____ and ____

Part B)

To find if vertex is a max or min, compare to equation y = ax² + bx +c

if a > 0 then parabola opens up and vertex is a minimum.

if a < 0 then parabola opens down and vertex is a maximum,

thus vertex is a minimum in this problem

to solve vertex set x = -b / 2a = 5 / 2(2) = 5/4

solve for y value

.... vertex is then at point ( 5/4 , y value found)

Part C)

Can plot the intercepts and vertex points

John states that the product of two real numbers is a real number. Extending this to imaginary numbers John states that the product of two imaginary numbers must be imaginary. Is his statement correct?

Answers

Answer:

no because these "imaginary numbers" can have the same value as 2 real numbers that add up to a real number. Example:7 3+4=7    x+y (Algebra so not real numbers)= infinite possibilities

Step-by-step explanation:

How can you tell if an ordered pair is a solution of a system of linear equations by examining the graphs of the equations?
Both lines pass through the point represented by the ordered pair.
You cannot tell whether an ordered pair is a solution of a system of linear equations by examining the graphs of the equations.
Just one of the lines passes through the point represented by the ordered pair.
Neither line passes through the point represented by the ordered pair.

Answers

Answer:

A.) Both lines pass through the point represented by the ordered pair

Step-by-step explanation:

Both lines pass through the point represented by the ordered pair.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

An ordered pair is a solution of a system of linear equations by examining the graphs of the equations.

We know that;

An ordered pair is a solution of a system of linear equations when both the lines are passing through the same ordered pair.

Hence, We get the correct sentence is,

''Both lines pass through the point represented by the ordered pair.''

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What type of number is -296.2i

Answers

it is a negetive integer

HOPE THIS HELPS

PLEASE MARK ME AS BRAINLIEST.

HELLO! Negative integer

उपलब्धियों

Ricki took a survey in the fifth grade and found that 2/3 of the students ride the bus to school, and 1/4 of the students walk. What fraction of the fifth-grade students either ride the bus or walk to school?

Answers

Answer:

11/12 of the 5th grade ride the bus or walk to school.

Step-by-step explanation:

First you have to find a LCD (least common denominator) for both fractions which is 12.

Second you have to multiply the numerator by whatever you multiplied the denominator by for both fractions

Finally you add both fractions together and you get 11/12

Below is a scale drawing of a deck for a house What are the length and width, in yards, of the deck represented by the scale drawing?
What is the area, in square yards, of the deck represented by the scale drawing?
Please help me hurry

Answers

I’m looking for the same answer

Answer:

The length of the house is 32 yards and the width is 16 yards and the area of the deck is 512 yards. I got my answer by multiplying the length and the width to get an answer of 512.

Step-by-step explanation:

You have to multiply 16 centimeters by 2 and multiply 8*2. Which is 32 and 16 and after you do that you multiply them 32*16=512

Which fraction is equivalent to the decimal 0.68 with the line on top?HELP FAST

A. 31/45
B. 682/999
C. 62/99
D. 2/3

Answers

Answer:

A 31/45

Step-by-step explanation:

A 31/45=0.6888 (this is the awnser as the line on top means repeating)

B 682/999=0.682 (0.68 rounded)

C 62/99=0.62626 (repeating)

D 2/3=0.66666 (Or 0.67 rounded)

Find the percent change from the first value to the second. 32; 56

Answers

Answer:

75%

Step-by-step explanation:

Percentage change = (change) ÷ (first value) × 100

Change = second value - first value = 56 - 32 = 24

∴ Percentage change = [tex]\frac{24}{32} * 100 =[/tex] 75%


Find the length of side x in simplest radical form with a rational denominator

Answers

Answer:

rggsktvvg gggggggggggg yyyhhhhg

Find the missing side lengths. WILL GIVE BRAINLIEST

Answers

The missing side length is pigment because it is Pepe popo

Write the ratio of 3/5 miles to 1/2 miles as a fraction in simplest form

Answers

Answer:

Three over Ten

any help
please
thanks

Answers

Answer:

n=54

Step-by-step explanation:

Since this is a proportion problem, you have cross mulitply.

7n=9x42

7n=378

n=54

Answer:

cross multiply

9×42=378

7×n=7n

n=378/7

n=54

1 3/8 minus 1/2 thanks

Answers

Answer:

0.833

Step-by-step explanation:

Pls help with math ASAP pls

Answers

B: it stabilizes the distance between them

i do not think the order matters, so the answer should be the first two.

an one hour mathematcis class ks divided up into the schedule shown jn the table below how many mintyee of class are allowed for independent pratice?

Answers

Answer:

i got 15

Step-by-step explanation:

Pls pls help it is due todayyy:)))

Answers

Answer:

a dilation is different from a translation because it enlarges an image or shrink them instead of moving them. it's also different from rotation since it doesn't rotate but enlarge or shrink. it's way far from reflection because it enlarges or shrinks.

Answer: A diliation is a non rigid transformation, whereas reflections, transitions and rotations are rigid transformations. This means that dilations do not preserve the size of the shape.

PLEASE HELP ASAP!!!!!!!!! I REALLY NEED IT PLEASE

Answers

Answer:

[tex]\displaystyle d = 2\sqrt{10}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point R(-2, -4)

Point S(-8, -6)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points[DF]:                       [tex]\displaystyle d = \sqrt{(-8+2)^2+(-6+4)^2}[/tex](Parenthesis) Add:                                 [tex]\displaystyle d = \sqrt{(-6)^2+(-2)^2}[/tex][√Radical] Exponents:                          [tex]\displaystyle d = \sqrt{36+4}[/tex][√Radical] Add:                                     [tex]\displaystyle d = \sqrt{40}[/tex][√Radical] Simplify:                               [tex]\displaystyle d = 2\sqrt{10}[/tex]

Engineers are playing a new bridge to cross a small river. Surveyors created the diagram to show where the bridge across the river.

What is the distance across the river where the new bridge will be built?

A. 36 feet
B. 56.25 feet
C. 100 feet
D. 101.25 feet

Answers

A. You need to show the diagram.

Answer:

I believe it was B.

Step-by-step explanation:

What is the surface area of the rectangular prism below?
A. 1260 units2
B. 700 units
C. 823 units2
D. 740 units2

Answers

Answer:

700

Step-by-step explanation:

A=2(wl+hl+hw)=2·(12·14+7·14+7·12)=700

The value of the surface area of the rectangular prism is,

SA = 700 units²

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

In a rectangular prism,

Length (l) = 14

Width (w) = 12

Height (h) = 7

We know that;

The surface area of a rectangular prism is given by:

SA = 2 (lh +wh + lw ) Square units.

Hence, We get;

SA = 2 (14 x 7 + 12 x 7 + 14 x 12

SA = 2 (98 + 84 + 168)

SA = 2 x 350

SA = 700 units²

Thus, The value of the surface area of the rectangular prism is,

SA = 700 units²

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Complete each congruence statement by naming the corresponding angle or side (odd questions only)

Answers

Answer:

Step-by-step explanation:

Corresponding parts of the congruent triangles are congruent [CPCTC]

By using this property of congruent triangles,

15). ΔABC ≅ ΔABR

     BC ≅ BR [By CPCTC]

16). ΔJIH ≅ ΔJIW

     ∠HJI ≅ ∠WJI [By CPCTC]

17). ΔBDC ≅ ΔBDJ

     ∠CBD ≅ ∠JBD [By CPCTC]

Answer:????? Math (O-O)

Answers

Answer: the first one is 30. The second is .294. The third is 2/3.

Step-by-step explanation:

On what interval(s) of x does f have positive concavity?


On what interval(s) of x does f have negative concavity?

Answers

Answer:

Step-by-step explanation:

Concavity of a quadratic function is determined the leading coefficient.

If the leading coefficient is positive, graph will entirely concave upwards.

If the leading coefficient is negative, graph will concave downwards entirely.

So in the interval (-∞, ∞) function has the positive concavity.

There is no interval in which the given function has the negative concavity.

please answer the question below

Answers

Answer: 220

Step-by-step explanation:

Will already has 148 he bought 8 packages that contains 9 in each so 8 x 9 = 72 then add 148 to 72 and you will have your total which is 220.

How do the graphs of the functions differ from the graph of f(x)=3.5x^3?
For each function, select Steeper, Less steep, or Reflected over the x-axis to describe the differences between the graph of the function and the graph of f(x).
Select all answers that are correct.

Answers

Answer:

First, let's do some general definitions:

We start with:

f(x) = 3.5*x^3

A general equation of this form is:

g(x) = a*x^3

if:

IaI > 3.5 the function will be steeper.

IaI < 3.5 the function will be less steep.

a < 0, means that we have a reflection over the x-axis.

Then:

p(x) = 4.5*x^3

bassed on what we wrote above, this function is steeper than f(x)

q(x) = -x^3

This is less steep ( a = -1 in this case) and we also have a reflection over the x-axis.

r(x) = 3*x^3

In this case 3 < 3.5, this means that this will be lees steep than f(x)

Someone pls help

There fraction!!

3/4+2/3=

Help please

Answers

Answer:

5/7 your answer is.....

Answer:

17/12.     or 1 5/12

Step-by-step explanation:

caculator.

7 1/2 / (4 1/2 - 5 1/8) =

Answers

Answer:

-4 11/16

Step-by-step explanation:

How do you solve 20-10/5+2•2

Answers

Answer: 22

Step-by-step explanation:

20 - 10/2 + 2 . 2

10/5 = 2

20 - 2 + 2 . 2

= 20 - 2 + 4  = 22

 

hope this helps

How do percents show the relationship between quantities?

Answers

9514 1404 393

Explanation:

A percentage is a representation of a fraction. Just as any fraction relates a quantity to a whole, so does a percentage.

Example:

  3/5 represents 3 parts out of 5.

Its equivalent as a percentage is ...

  3/5 · 100% = 60%

which also represents 3 parts out of 5, or 6 parts out of 10, or 60 parts out of 100.

__

Note that the percent symbol (%) can be considered to be a shorthand way to write /100. Similarly, the "mils" symbol (‰) can be considered a shorthand way to write /1000. That is, 60% is fully equivalent to 60/100, and vice versa.

Multiplying polynomials: simplify
(4a+2)(6a^2-a+2)

Answers

Answer:

24a³ - 16a² + 6a + 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Terms/CoefficientsExpanding by FOIL (First Outside Inside Last)

Step-by-step explanation:

Step 1: Define

(4a + 2)(6a² - a + 2)

Step 2: Expand

Expand:                              24a³ - 4a² + 8a - 12a² - 2a + 4Combine like terms (a²):    24a³ - 16a² + 8a - 2a + 4Combine like terms (a):     24a³ - 16a² + 6a + 4
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