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

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.

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.

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

Answers

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

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~

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).

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

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:

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]

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%

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.

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.

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

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

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:

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

Help please! (there is a picture)

Answers

* Answer: * Option 1

Answer:

its option 2

step-by-step explanation:

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.

(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

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].

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].

Please help. Due today!

Answers

I think RT = 10
Have a great day :)

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:


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 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%

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

help please brainliest will be given

Answers

Answer:

Isn’t this social studies?

Step-by-step explanation:

Other Questions
I need help I'm in the 5th grade all my points The decayed organic matter in in soil is called __________.A)humusB)soil tilthC)siltD)laharE)DDT Ross has a season ticket.In 2013 the season ticket cost 65.In 2014 the cost of the ticket was increased by 8%.In 2015 the cost of the ticket was increased by a further 5%.Calculate the cost of the season ticket after the two price increases. Which of the following is equal to the absolute value of 5 + 7 15? A 3 C 3 B 0 D 27 HELP! (On the ?s I didnt answer thank you! What group of people might be considered part of the aristocracy Add One-seventh + 1One-fifth.pls hurry Ramelteon is a hypnotic agent used in the treatment of insomnia: Considering the labeled drawing above, which of the highlighted atoms has a delocalized lone pair? Select all that apply. 1 2 3 Identify the geometry of each atom (except for hydrogen atoms). All sp2-hybridized carbon atoms have geometry. All sp3-hybridized carbon atoms have geometry. The nitrogen atom has geometry. The oxygen atom of the C=O bond has geometry, and the other oxygen atom has geometry. Maya wants to buy a new air conditioner. She could pay $149 in cash or make 4 payments of $39 each. How much would she save if she paid cash? Please help with these questions please!!! A fish is swimming 10.2 feet below the surface of the water. It then descends another 12.85 feet.What subtraction expression can be used to find the new position of the fish?What is the position of the fish in relation to the surface of the water? *************MUST ANSWER!***************Sebastian has a points card for a movie theater. -He earns 85 points just for signing up.-He earns 2.5 points for each visit to the movie theater.-He needs 115 points for a free movie ticket.Write and solve an Equation which can be used to determine v, the number of visits Sebastian must make to earn a free movie ticket. What is the measure, in degrees, of PLEASE HELP can someone help me ill give a brainiest Solve for x.3x - 1617x - 382 What is the measure of x?Angles are not necessarily drawn to scale.63PLEASE HELPPP HELP ME PLEASE....... PLEASE ANSWER honestly and a Real answer!In this unit, you learned that the United States has had a two-party political system for much of its history. Although candidates from other parties sometimes win elections at the local level, most elections for state office and the presidency have been dominated in the modern era by candidates from either the Democratic Party or the Republican Party. Do you think this system is fair, or would the nation benefit from a political system in which candidates from other parties had better chances at winning? Do you think the United States would be better off if more political parties were represented at higher levels of government, such as in the House and the Senate? Explain your thinking. What is the product(s) of the reaction below? 2Al(s) + Fe2O3(s) ---> Al2O3(s) + 2Fe(s)A. Solid aluminum oxide and solid ironB. Solid aluminumC. Saturated aluminum oxide and saturated ironD. Iron(III) oxide and aluminum oxide What the area of the large square?