On a certain hot summer's day, 263 people used the public swimming pool. The daily prices are $1.25 for children and $2.50 for adults. The receipts for admission totaled $437.50. How many children and how many adults swam at the public pool that day?

Answers

Answer 1

Answer:

The number of children = x = 176

The number of Adults = y = 87

Step-by-step explanation:

Let us represent

The number of children = x

The number of Adults = y

On a certain hot summer's day, 263 people used the public swimming pool.

x + y = 263.... Equation 1

x = 263 - y

The daily prices are $1.25 for children and $2.50 for adults. The receipts for admission totaled $437.50.

$1.25 × x + $2.50 × y = $437.50

1.25x + 2.50y = 437.50.....Equation 2

We substitute 263 - y for x in Equation 2

1.25(263 - y) + 2.50y = 437.50

328.75 - 1.25y + 2.50y = 437.50

- 1.25y + 2.50y = 437.50 - 328.75

1.25y = 108.75

y = 108.75 ÷ 1.25

y = 87

Solving for x

x = 263 - y

x = 263 - 87

x = 176

Therefore:

The number of children = x = 176

The number of Adults = y = 87


Related Questions

12p + 15 - 13 - 12p in simplest form

Answers

Answer:

2

Step-by-step explanation:

First, lets order it by like terms.

12p - 12p + 15 -13

Then, simplify

0p + 2

2

I just need question 2, please help

Answers

Answer: 73

Step-by-step explanation:

so i took what the angle was for the 107 and subtracted it from 180 because that's always how I did it i'm not positive if its correct but I think that's how you do it since there all the same angles on the bottom so M and Q match and the two top angles match so I think it would end up being 73 sorry if this isn't to much help.

Hector spent $41.75 for 2 DVDs that cost the same amount. The sales tax on his purchase was $3.15. Hector also used a coupon for $1.00 off his purchase. How much did each DVD cost?

Answers

Given:

Amount spent on 2 DVDs = $41.75

Sales tax = $3.15

Coupon = $1.00 off

To find:

The cost of each DVD.

Solution:

Let x be the cost of each DVD.

Then, cost of two DVDs = 2x

Amount spent of 2 DVDs = Cost of 2 DVDs + Sales tax - Coupon discount

[tex]41.75=2x+3.15-1.00[/tex]

[tex]41.75=2x+2.15[/tex]

[tex]41.75-2.15=2x[/tex]

[tex]39.6=2x[/tex]

Divide both sides by 2.

[tex]\dfrac{39.6}{2}=x[/tex]

[tex]19.8=x[/tex]

Therefore, the cost of each DVD is $19.8.

1/7 of a birthday cake was left over from a party. The next day, it is shared among 8 people. How big a piece of the original cake did each person get?

Answers

Answer:

1/56

Step-by-step explanation:

ploz brainliestt

For the equation 2x + 7 =30, x = 3
O True
O False

Answers

The answer is false
Have a good day <3

Answer:  False

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

Explanation:

To see if the x value is a solution or not, we plug it into the equation given

2x+7 = 30 .... original equation

2*3 + 7 = 30 .... replace every x with 3, since we claim that x = 3

6 + 7 = 30 .... multiply 2 and 3 to get 6

13 = 30 ...... add 6 and 7 to get 13

We get two different numbers on either side, so the last equation is not true. We get a contradiction or false statement. So the original equation is false when x = 3. Therefore, x = 3 is not the solution.

That's why the overall claim is false.

12
Solve using the Quadratic Formula for 2x2 + 5x – 3 = 0
x = -5, 7
b. X = -12,2
X = -3,42

Answers

Step-by-step explanation

Step-by-step explanation:

[tex] \tt{2 {x}^{2} + 5x - 3 = 0}[/tex]

⇢ [tex] \sf{2 {x}^{2} + 5x + ( - 3) = 0}[/tex]

Here , a = 2 , b = 5 & c = -3 {a is the coefficient of x² , b is the coefficient of x and c is the constant term }

Now ,

[tex] \tt{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }[/tex]

⇢ [tex] \tt{x = \frac{ - 5± \sqrt{ {5}^{2} - 4 \times 2 \times ( - 3) } }{2 \times 2} }[/tex]

⇢ [tex] \sf{ x= \frac{ - 5±7}{4} }[/tex]

Taking positive ( + ) sign :

⇝[tex] \tt{x = \frac{ - 5 + 7}{4} = \frac{1}{2}} [/tex]

Taking negative ( - ) sign :

⇝[tex] \tt{x = \frac{ - 5 - 7}{4} = - 3}[/tex]

[tex] \purple{ \boxed{ \boxed{ \tt{⤑ \: Our \: final \: answer : \boxed{ \underline{ \tt{x = \frac{1}{2} , \: - 3}}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

John is putting a fence around his garden that is shaped like a half circle and a rectangle. How much fencing will John need? Use 22/7 as Pi.

32 ft

39 ft

46 ft

57 ft

Answers

Answer:

46

Step-by-step explanation:

It will help :)

Answer:

46

Step-by-step explanation:

RIGHT ON EDGE~

WILL GIVE BRAINLIEST
The block company is to paint 257 cylindrical blocks like this one which has a radius of 1.5cm and a height of 4cm. If the paint costs $ 0.52 per cm2, what will be the total price the company will have to pay?

Answers

Answer:

Let us consider the equation of a partial disk Hence A= pi × r^2/ 2

Answer:

[tex]\$3463.70[/tex]

Step-by-step explanation:

Start by finding the total surface area of one block. The surface area of this half-cylinder is:

[tex]2\cdot\frac{1}{2}r^2\pi+\frac{1}{2}\cdot2r\pi\cdot h[/tex]

Since both radius and height are given, we can solve the equation:

[tex](1.5)^2\cdot \pi +1.5 \cdot \pi \cdot 4 \approx \fbox{$25.9\:\mathrm{cm^2}$}[/tex].

Since the company is painting 257 of these, the total surface area of all the blocks will be:

[tex]({(1.5)^2\cdot \pi + 1.5 \cdot \pi \cdot 4)\cdot 257\approx \fbox{$6660\:\mathrm{cm^2}$}[/tex].

Each square centimeter costs $0.52, so the total cost the company will have to pay is:

[tex]({(1.5)^2\cdot \pi + 1.5 \cdot \pi \cdot 4)\cdot 257\cdot 0.52\approx \fbox{$\$3463.70$}[/tex].

Tu amigo está a 55 metros de la base de un árbol y el ángulo de elevación 3 desde donde está parado en el suelo hasta la copa de ese árbol es de 50 grados. ¿Cuanto mide el árbol al metro más cercano?​

Answers

Step-by-step explanation:

Ummm D

The marks of Riju in Mathematics test increased from 20 to 30. What is the percentage of increase?

Answers

Answer:

hope it is helpful

Step-by-step explanation:

10 is the increase in number

orignal vale is 20

so

increase %=increase in orignal value/orignal value ×100

=10/20×100=50%

12. Which explains whether the relation shown is a function?

A) The relation is a function since it is continuous.

B) The relation is not a function since it is not symmetrical

C) The relation is a function since it passes the vertical line test

D) The relation is not a function since it does not pass the horizontal line test.

Answers

Answer:

C

Step-by-step explanation:

the vertical line test is when you check to see if a point of the graph is passed twice. in this case it does pass the vertical line test. therefore, it is a function.

Answer C final answer: C

Find C.
Round to the nearest tenth.
с
17 ft
8 ft
B
А
16 ft
C = [ ? ]
Law of Cosines : c2 = a2 + b2 - 2ab cos C
Enter

Answers

Answer:

[tex]C=69.1^{\circ}[/tex]

Step-by-step explanation:

The Law of Cosines is given as:

[tex]c^2=a^2+b^2-2ab\cos C[/tex].

Plugging in given values, we get:

[tex]16^2=8^2+17^2-2\cdot 8\cdot 17\cdot \cos C,\\\cos C=\frac{-97}{-272},\\C=\arccos(\frac{97}{272}),\\C=\fbox{$69.1^{\circ}$}[/tex].

The table and the graph each show a different relationship between the same two variables, x and y:

How much more would the value of y be in the table, than its value on the graph, when x = 11?
Group of answer choices
110
170
385
495

Answers

Answer:

[tex]\displaystyle 385[/tex]

Step-by-step explanation:

The rate of change [slope] of the graph is 35, and for every two blocks you horisontally move represents seventy blocks vertical-wise, therefore an ELEVENTH block would require you to split 70 in half, giving you 35, then add this to 350 to get 385.

I am joyous to assist you at any time.

Answer:

The answer is Option B.) 385

Step-by-step explanation:

The pace of progress of the chart is 35, and for each two squares you horizontally move addresses seventy squares vertical-wise, thusly an 11 square would expect you to part 70 fifty-fifty, giving you 35, then, at that point, add this to 350 to get 385 as a result.


The price of Netflix increased from $8 to $10 per month. By what percentage was the price
of Netflix increased?
Answer

Answers

Answer:

2%

Step-by-step explanation:

The percentage it was increased was 2%

Marta walked at 2.7 miles per hour for 0.93 hours. How far did she walk?

Answers

Answer:

Hello, hope you had a good day your, answer is 2.511 Miles.

Step-by-step explanation:

so first lets take 2.7/100 = .027

then take .027 times 93 which gives you 2.511.

Item 1
Question 1
Solve 52x>5. Graph the solution.

Answers

Hey there! [tex]\bold{52x>5}[/tex]DIVIDE  by [tex]\bold{52}[/tex] on BOTH SIDES [tex]\bold{\dfrac{52}{52}>\dfrac{5}{52}}[/tex]CANCEL out: [tex]\bold{\dfrac{52}{52}}[/tex] because it gives you [tex]\bold{1}[/tex]KEEP: [tex]\bold{\dfrac{5}{25}}[/tex] because it helps us solve the number that is being [tex]\bold{COMPARED}[/tex] to [tex]\bold{x}[/tex][tex]\boxed{\boxed{\bold{Answer:x>\dfrac{5}{52}}}}\checkmark[/tex]Good luck on your assignment and enjoy your day! ~[tex]\frak{LoveYourselfFirst:)}[/tex]


21 2
—- divide ——
6 3

Answers

Answer:

3.3507/ 3.35 (round off)

Step-by-step explanation:

Hope it helps :)

A baker made 5 pounds of icing. He used 4/9 of icing to decorate cakes. How much of icing is left over

A. 1 pound
B. 1 5/9
C. 1 2/3
D. 2 7/9

Answers

Answer:  2 7/9

Step-by-step explanation:

too lazy to show the work lol, but hope this helped!

(The sum of 5 times a number and 6 equals 9)

Translate the sentence into an equation

use the variable c for the unknown number

does anyone know the answer to this ?

Answers

I believe it could be something like this-
5x(c+6)=6
Or maybe-
5xc+6=9
But I believe the first one

12. Which expression is equivalent to 5x + 9?
5(x - 4) + 29
5(x + 4) + 29
5(x - 4) + 9
5x + (x + 9)

Answers

Answer:

the first one, 5(x-4) + 29

Step-by-step explanation:

Help please! (there is a picture)

Answers

* Answer: * Option 1

Answer:

its option 2

step-by-step explanation:

help please brainliest will be given

Answers

Answer:

Isn’t this social studies?

Step-by-step explanation:

What are the solutions of -1 <=x-3<4? help asap ​

Answers

I think the answer is -1=x-3<4

Please help. Due today!

Answers

I think RT = 10
Have a great day :)

Point (21,28) is dilated by a scale factor of (-1/7) with a center of dilation on the origin. What are the new coordinates

Answers

Step-by-step explanation:

Original x-value = 21

New x-value = 21 * (-1/7) = -3.

Original y-value = 28

New y-value = 28 * (-1/7) = -4.

Hence the coordinates of the new point is (-3,-4).

Answer:

Original value of x-axis =21

New value of x-axis = 21×(-1/7) = -3

Original value of y-axis =28

New value of y-axis = 28×(-1/7) = -4

Hence, the new coordinate is (-3,-4).

Help i cant figure this equation out 9x-7i 3(3x-7u)

Answers

Answer:

49i^3u−21i^3x+9x

Step-by-step explanation:

Determine if the values shown in the table below represent a function. Explain why or why not.
1
3
5
7
Input (x)
Output (x)
9
30
5
11
15
18

Answers

it’s not a function.

Answer: No, this is not a function.

In a function, there can be no overlapping on the y-axis.

Simplify each expression using the distributive property and/or combining like terms
2x+3y+6+7y

Answers

Answer:

2(x+5y+3)

Step-by-step explanation:

first you collect the like terms 2x+3y+6+7y.

Answer:

2(x+5y+3)

Step-by-step explanation:

i did it

Antonio baked 150 muffins. Of all the muffins he baked, 46% of them were blueberry. How manyy blueberry muffins did antonio bake?

Answers

antonio baked 69 muffins

Answer: he baked 69 muffins

Step-by-step explanation:

Num. 3 What is the name of the ray shown?

Answers

Answer:

I believe the answer is C

Step-by-step explanation:

Because lines with arrows at the end means the line is continuing. Let me know if this is right . I hope I helped! :)

Answer:

the answer to this question is (C)

Step-by-step explanation:

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