On a certain hot​ summer's day, 291 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for adults. The receipts for admission totaled $472.50 How many children and how many adults swam at the public pool that​ day?

Answers

Answer 1

Answer: 219 children and 72 adults swam at the public pool that day.

Step-by-step explanation:

Let x = Number of children , y= Number of adults.

As per given,  x+y = 291      (i)

1.5x+2y = 472.50         (ii)

Multiply 2 on both sides of (i) , we get

2x+2y = 582  (iii)

Eliminate (ii) from (iii), we get

0.5x = 109.5

[tex]\Rightarrow x=\dfrac{109.50}{0.5}=219[/tex]

Put value of x= 219 in (i)

219+y= 291

⇒ y = 291-219 = 72

Hence, 219 children and 72 adults swam at the public pool that day.


Related Questions

The staff takes 1/2 of an hour to assemble 1/8 of the booths. How long does it take the staff to assemble all of the booths?

Answers

Answer:

It takes all staff 3 hours

Step-by-step explanation:

So, first we write down all these important info. It takes half hour for staff to assemble one sixth (1/6) of the booths. First you need to take the fraction 1/6 a whole number by multiplying it by the denominator which in this case is 6 which will give you the answer 1. Next, you do the exact same thing for the other part. Multiply 1/2 by 6 to get 3.

The time to assemble the remaining fraction of the bottle is 3.5 hours.

Time to assemble one-eight of the bottles

The time taken for the staff to assemble one - eight (1/8) of the bottles is given as half (1/2) hour.

Remaining fraction

The remaining fraction of the bottle is calculated as follows;

[tex]= 1 - \frac{1}{8} \\\\= \frac{7}{8}[/tex]

Time to assemble the remaining fraction of the bottles

The time to assemble the remaining fraction of the bottle is calculated as follows;

1/8 ----------------- 1/2 hour

7/8 ---------------- ?

[tex]\frac{7}{8} \times \frac{1}{2} \times \frac{8}{1} = 3.5 \ hours[/tex]

Learn more about time to complete work here: https://brainly.com/question/10929133

Which equation does the graph below represent?

Answers

Answer:

a

Step-by-step explanation:

i think its a

A metal pipe is 33 and 3/4 inches long. If u cut the pipe into pieces that are each 3 and 3/4 inches long how many total pieces will you have.

Answers

Answer:

2025 over 16

Step-by-step explanation:

Please help!!!!! will give brainliest!!! thank you so so so much, I really appreciate it

Answers

Answer:

C

Step-by-step explanation:

Firstly, we will identify the angle that has the given cosine value

From what we can see, the arc cos of this value is 45 degrees

but, as we can see, the value is negative

On the quadrants, the value of cosine is negative on the 2nd and 3rd quadrant

2nd quadrant ranges from 90 - 180

That is pi/2 to pi

3rd ranges from 180 to 270

That is pi to 3pi/2

Kindly recall, we are considering angles from -360 to 360

So what this mean is that we will consider angles that are negative of what we have as positive angles on the first and fourth quadrant on which cosine is positive

Thus, we have the following;

5pi/4 is same as 225 degrees

This is on the 3rd quadrant, and cosine is negative there

7pi/4 is same as 315 and this is on the fourth quadrant

This is expected to be negative because normally, cosine is positive on that axis and what we have should be negative

3pi/4 is same as 135

This is on the second quadrant and normally, cosine is negative here so we do not need to negate the angle measure

pi/4 is on the first quadrant and cosine is positive here;

Since the value we have here is positive, we have to negate the angle measure

So the correct angles are;

negative pi/4

positive 3pi/4

positive 5pi/4

negative 7pi/4

3x+2y=46 x+y=17 how u solve

Answers

Answer: (12, 5)

Step-by-step explanation:

3x + 2y = 46 x + y = 17

Subtract y from both sides of the equation.

x = 17 − y 3x + 2y = 46

Replace all occurrences of x with 17 − y in each equation.

   51 − y = 46

x = 17 − y

Solve for y in the first equation.

Move all terms not containing y to the right side of the equation.

Subtract 51 from both sides of the equation.

   −y = 46 − 51

   x = 17 − y

Subtract 51 from 46.

   −y = −5

   x = 17 − y

Multiply each term in −y = −5 by −1

Multiply each term in −y = −5 by −1. (−y) ⋅ −1 = (−5) ⋅ −1

   x = 17 − y

Multiply (−y) ⋅ −1.

   y = (−5) ⋅ −1

   x = 17 − y

Multiply −5 by −1.

y = 5

x = 17 − y

Replace all occurrences of y with 5 in each equation.

Replace all occurrences of y in x = 17 − y with 5. x = 17 − (5)

y = 5

Simplify 17 − (5).

Multiply −1 by 5.

x = 17 − 5

y = 5

Subtract 5 from 17.

x = 12

y = 5

The solution to the system is the complete set of ordered pairs that are valid solutions.

(12, 5)

The result can be shown in multiple forms.

Point Form: (12, 5)

Equation Form: x = 12, y = 5

what is the equation of the line in the graph?

Answers

Answer:

y=-1x-2

Step-by-step explanation:

hope it helps ^^

Answer:

y = -x - 2

Step-by-step explanation:

Since we have a straight, linear line, the line follows the y = mx + b format

The line moves one unit down for every unit to the right, making m = 1

Since the line has a downward slope, m = -1

Since the line crosses the y-axis at -2, b = -2

Therefore, the equation is y = -1x - 2 or more simplified, y = -x - 2

10y + x = -100
can someone help me get Y by it self

Answers

Step-by-step explanation:

10y+x=-100

10y= -100 - x

y= -100 - x/ 10

y= -10 - x/10

what is 1+1 please help

Answers

i think the answer might be 20
I’m pretty sure it’s 11

UMMMM I NEED MORE HELP PLZ

Answers

Answer:

Step-by-step explanation:

3/5(-60)(-2/3)=24

choice C

Adrián compró una bicicleta cuyo precio original es de 400.00 pesos pero al pagar en la caja le hicieron 20% de descuento cuánto pagó al niño para la bicicleta

Answers

Answer:

320 pesos

Step-by-step explanation:

Un 20% de descuento en formato decimal es 0.20. La totalidad de la bicicleta es representada como 100% o 1 y nosotros queremos saber el precio despues del descuento que seria

100% - 20% = 80% o 0.80

Ahora simplemente multiplicamos este decimal por el valor original de la bicicleta para saber el precio descontado...

400 * 0.80 = 320 pesos

Write the equation of a line that is parallel to y=x-4 and passes through the point (2,3)

Answers

Answer:

y = x - 1

Step-by-step explanation:

The given line is y = x - 4.  Any line parallel to this one has an equation of the same form, though the constant will be different.

Substitute the coordinates of the given point (2, 3) into y = x - 4 and determine the value of b, which is the y-intercept:

3 = 2 - C

Then C = -1, and the desired equation is y = x - 1.

You can use a root to undo...
A. An exponent
B. An equation
C. A multiplication problem
D.A division problem

Answers

Answer:

multiplucation problem

Step-by-step explanation:.

Match each graph with its slope.

Answers

Answer:

(Method: rise/run)

1. 1/3

2. 3

3. 1

4. 2

Which is equivalent to 80*
80
V80"
a
V80
80
Mark this and return

Answers

80 I believe.. I could be wrong though-

I'm not sure how to find x​

Answers

To answer this, add all of those angles. A triangle’s angles equal to 180. Then, combine like terms and solve.
5x - 40 + 3x + 2x + 20 = 180
10x - 20 = 180
10x -20 + 20 = 180 + 20
10x = 200
10x / 10 = 200 / 10
x = 20

hope that helps!! if you need any more help please comment and link ur question :)

The area of the rectangle is 5 times the triangle

Answers

Don't know what you mean

Use the information below go answer the three questions.

In a certain city in France, they gain 2 minutes of daylight each day after the spring equinox (usually in March), but after the autumnal equinox (usually in September) they lose 2 minutes of daylight each day.

Answers

Answer:

Answer  for the first question is D

Step-by-step explanation:

^^^^^

need help asap please

Answers

you’re answer is the very last choice, 3.15=315%.
you multiply the decimal by 100 to get 315%.

Write an equation using x and y to represent the hanger?

Answers

Answer:

x + 3y = 4x + y

Step-by-step explanation:

it looks like both sides weight the same, also each triangle represents an x and each square represents a y

please answer i will give brainliest and extra points!

Answers

Answer:

Esther's is more expensive

Step-by-step explanation:

2 dollars per soda

Brainly plss

What is the domain of the given function?


{(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)}


{x | x = –4, –1, 3, 5, 6}

{y | y = –2, 0, 1, 4, 9}

{x | x = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9}

{y | y = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9

Answers

Answer:

3,6,-1,5, and -4

Step-by-step explanation:

Domains is the X

Answer:

hi

Step-by-step explanation:hi

Find the zeros of the function.
Enter the solutions from least to greatest.
g (x)=(-5x -1)(2x +8)
lesser x =
greater x =

Answers

Answer:

[tex]x=-4,\:x=-\frac{1}{5}[/tex]

Step-by-step explanation:

The zeroes of the function [tex]g(x)=(-5x-1)(2x+8)[/tex] can be found by setting [tex]g(x)[/tex] to [tex]0[/tex], then solving for [tex]x[/tex]:

[tex](-5x-1)(2x+8)=0[/tex]

When either term is [tex]0[/tex], the equation is true. Therefore we have two cases:

[tex]\begin{cases}-5x-1=0,\: -5x=1, \:\fbox{$x=-\frac{1}{5}$}\\2x+8=0,\:2x=-8,\:\fbox{$x=-4$}\\\end{cases}[/tex]

Form the given function lesser x value is -4 and the greater x value is -1/5.

What are the zeros of a function?

The zeros of a function are defined as the values of the variable of the function such that the function equals 0. Graphically, the zeros of a function are the points on the x-axis where the graph cuts the x-axis. In other words, we can say that the zeros of a function are the x-intercepts of its graph. The number of zeros of a polynomial function is equal to the degree of the polynomial.

The given function is g(x)=(-5x -1)(2x +8)

Now, (-5x -1)(2x +8)=0

(-5x -1)=0 and (2x +8)=0

-5x=1 and 2x=-8

x=-1/5 and x=-4

Therefore, form the given function lesser x value is -4 and the greater x value is -1/5.

To learn more about the zeros of a function visit:

https://brainly.com/question/18038662.

#SPJ2

answer for brainlist and extra points!! <3

Answers

Answer:

75

Step-by-step explanation:

45+(2*15)

45+30

75

Hope it helped!

Answer:

Equation: 45 + 2(x)

Answer: 45 + 2(15) = 45 + 30 = $75

Step-by-step explanation:

45: # of money she had

2: the amount of money she makes when she completes her chores

x: the number of days she completes her chores

Hope this helps!

Question 6 of 10
sin(7pie/6)=

Answers

Answer:

-0.5

Step-by-step explanation:

I just added it into my calculator

PLEASE CAN SOMEONE HELP ME???

Answers

Answer:

-8,4 and 4,-5

Step-by-step explanation:

help me yall like sis

Answers

Answer:

x= 10

Step-by-step explanation:

8x+30=110

8x+30-30=110-30

8x=80

8x/8=80/8

x=10

Answer:

x=10

Step-by-step explanation:

Vertical angles are always congruent, those to angles are vertical angles so they are congruent.

Set them equal to each other:

110=8x+30                 subtract 30 from both sides

80=8x                        divide by 8 on both sides

x=10

Hope this helps :)

Sammy earns money for college by walking dogs and mowing lawns. She earns $3 for each dog she walks and $25 for each lawn she mows. Which expression can be used to determine the amount of money she earns from walking w dogs and mowing m lawns

Answers

Answer:

x = 3w + 25m

Step-by-step explanation:

The number of dogs she walks (w) and the number of lawns that Sammy mows (m) need to be multiplied by the amount of money that Sammy makes from each individual action. Both of these products are then added together to equal the total amount of money that Sammy has earned. All of this can be represented with the following expression where x is the total amount of money earned...

x = 3w + 25m

can you help me with this question please?

Answers

A. Simplify: 20 p
B. Simplify: 4y

point E is located at (-1,-6) on the coordinate plane. Point E is reflected over the y-axis to create point E' . Point E' is then reflected over the x-axis to create point E'' . What ordered pair describes the location E''?​

Answers

(-1,-6) --> (1,-6) --> (1,6)
(1,6) is E''

HELP PLEASEEE!!!!!!!

Answers

Answer:

1/3^3 *1/3^2

1/27 *1/9

1/243

Answer: 1/243

Step-by-step explanation:

first, i calculate it.

3^-5

then, i expressed it with a positive exponent.

1/3^5

finally, i simplified it.

1/243

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