On a certain hot summers day 339 people used the public swimming pool. The daily prices are $1.75 for children and $2.50 for adults. The receipts for admissions totaled $750.50. How many children and how many adults swam at the public pool that day?

On A Certain Hot Summers Day 339 People Used The Public Swimming Pool. The Daily Prices Are $1.75 For

Answers

Answer 1

Answer:

the number of children = 156

the number of adults = 183

Step-by-step explanation:

let x be the number of children

    y be the number of adults

We have to solve this system:

[tex]\begin{cases}x+y=339&\\ 1.75x + 2.50y = 730.50&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}y=339-x&\\ 1.75x + 2.50(339-x) = 730.50&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}y=339-x&\\ -0.75x + 847.5 = 730.50&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}y=339-x&\\ -0.75x =-117&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}y=339-156=183&\\ x =156&\end{cases}[/tex]


Related Questions

.....Can someone help me? ​

Answers

Answer:

A (the one you already have selected!)

Step-by-step explanation:

the vertical asymptotes: x = pi / 2

Vertical shift: - 2

Phase shift and period: pi to the right

Amy buys a tablet case for $10.50 plus a 6% tax and Joanne buys a phone charger for $8 with a 6% sales tax. Enter the sum, in dollars, that Amy and Joanne paid, including tax.

Answers

Answer: 19.61$

Step-by-step explanation:

6% = .06

10.5 x .06

.63

10.5 + .63

11.13$

8 x 0.06

.48

8 + .48

8.48$

8.48 + 11.13

19.61$

Estimate the sum

1.37 + 0.9

Answers

[tex]1.37 + 0.9\\\\\\=\dfrac{137}{100} + \dfrac{9}{10}\\\\\\=\dfrac{137}{100}+\dfrac{90}{100}\\\\\\=\dfrac{137+90}{100}\\\\\\=\dfrac{227}{100}\\\\\\=2.27[/tex]


what is the length of side x,y, and z

Answers

Answer:

X = [tex]\sqrt{2}[/tex] , Y = 3 , Z = 10

Step-by-step explanation:

using Pythagoras' identity in all 3 right triangles

X² = 1² + 1² = 1 + 1 = 2 ( take square root of both sides )

X = [tex]\sqrt{2}[/tex]

middle triangle

Y² = 1² + X² = 1 + ([tex]\sqrt{2}[/tex] )² = 1 + 2 = 3

triangle on right

Z² = 1² + Y² = 1 + 3² = 1 + 9 = 10

There is a pair of parallel sides in the following shape.
9. 5. 3

Answers

Answer:

area of composite shapes is area of rectangle plus area of square what do I know I'm just in 8th grad

5х + 15 + 3xy +9y factor it

Answers

Answer:

(5+3y) (x+3)

first of all you bracket by (5x+15)(3xy+9y). and you start fact as follows by 5(x+3y) 3y(x+3)after here you take (5+3y) (x+3)

Answer:

(x+3)+(5+3y)

Step-by-step explanation: In the equation, when you have four terms you group like terms. So 5x+15 by itself and work it out which you will get 5(x+3) and do the same for 3xy+9y answer is 3y(x+3).

Then you will say 5(x+3)+3y(x+3) and then you'll

5(x+3)/(x+3)=5 because you will cancel the (x+3) so the answer would be 5

You will do the same for 3y(x+3)/(x+3)

you will get 3y

Finally, you will take the first equation which is (x+3), and then you'll use the last equation which is (5+3y)

So that's how you will get (x+3)+(5+3y)

Which of the following sets of numbers could represent the three sides of a triangle? \{6,14,17\}{6,14,17} \{10,23,34\}{10,23,34} \{10,14,26\}{10,14,26} \{7,20,28\}{7,20,28}

Answers

The sets of numbers which could represent the three sides of a triangle is {6,14,17}. Option A is the correct option.

What is triangle inequality theorem?

Triangle inequality theorem of a triangle says that the sum of the two sides of a triangle is always greater than the third side.

Suppose a, b and c are the three sides of a triangle. Thus, according to this theorem,

[tex](a+b) > c\\(b+c) > a\\(c+a) > b[/tex]

The sides of first option are, 6,14,and 17.

[tex]6+14 > 17\\20 > 17[/tex]

This set satisfy the triangle inequality theorem. All the other options do not follow, to satisfy this theorem.

Thus, the sets of numbers which could represent the three sides of a triangle is {6,14,17}. Option A is the correct option.

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PLEASE HELP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER.
Find the difference between your wet bulb and dry bulb temperatures. Round the value to the nearest whole number. Use this value and your average dry bulb temperature in Celsius (round up or down to the nearest temperature) to determine the relative humidity using the chart below.

Relative Humidity (%)

Dry Bulb Temperature(°C)

Difference of Wet Bulb and Dry Bulb Temperatures(°C)

Answers

Answer:

20 degrees

Step-by-step explanation:

Answer:

20 degrees

Step-by-step explanation:

I got help from my teacher.

It's seventh grade social studies the question is written thanks!! ​

Answers

Answer:

Slavery caused the Civil War because colored people were being treated unfairly by the South and the North didn't like that. States rights is when a state abides by its own rules. Missouri was allowed to enter the Union as a slave state. California had to decide if they were going to be a slave state or a free state.

Step-by-step explanation:

Slavery was the root of the Civil War in the United States. Following the election of Republican and abolitionist Abraham Lincoln in 1861, southern governments grew fearful of his political beliefs. His victory sparked heated debate in the slave-dependent southern states. Because of the incoming president's future activities, states were planning to secede. These republics were heavily reliant on agriculture, therefore ending slavery would be disastrous. After Lincoln rejected their judgment, the Union and Confederacy declared war on one other. The Confederacy battled and killed to keep slavery alive, but the union won four years later. Abraham Lincoln fought for black people's freedom and human rights while simultaneously fighting to keep the Unified States united. This battle not only ended slavery, but it also brought the states together and preserved a strong country developing together.In the 1860 presidential election, Abraham Lincoln campaigned for president and won, becoming the first republican candidate to do so. His election, on the other hand, brought terrible news to the southern states, which were heavily reliant on agricultural and used slavery to increase revenues. "By and large," according to the book America Past and Present, "By and large, by and large, by and large, by and The civil war began in April 1861, when Southern states attempted to secede from the nation after Abraham Lincoln's election, and concluded in 1865, when the northerners (the Union) triumphed.  However, the most crucial reason for the outbreak of the war was that Republican Abraham Lincoln won the election of 1860, and his views on slavery were diametrically opposed to those of the southerners. His election sparked such outrage in the southern states that the possibility of going to war to avoid being linked with his political ideals was floated.

Please help with the 3 equations and tell me how to write it in a number line please! Will be marked brainliest if the answer makes sense!

Answers

number one is 4 so put it on 4 and number 2 would be on 6 and number 3 on 1 thats just how i see it hope this helps

Step-by-step explanation:

What is the value of x?
X
35
85
Write your answer in the box.

Answers

Answer:

-15

Step-by-step explanation:

since there's a difference of 50 between 35 and 85, there'll be a difference of 50 between X and 35 too.

what is the value of the expression 4(80+b) - 12, where b = 20?

Answers

Answer:

388

Step-by-step explanation:

Substituting b = 20 in the expression :

4(80 + 20) - 124(100) - 12400 - 12388

Select the best description for the sum of the expression below.

√10 + √26

A. rational
B. neither rational nor irrational
C. both rational and irrational
D. irrational

Answers

Answer:

D.irrational

Step-by-step explanation:

√10 +√26= 8.261279174

is has decimal at the end therefore it is irrational

Find the difference between the numbers 497.063 and 52.12

Answers

Answer:

444.94300

Step-by-step explanation:

497.063-52.12

A printing press valued at $120,000 depreciates 12% per year. What will be the approximate value
printing press in seven years? Round your answer to the nearest whole dollar.
A. Growth or Decay
B. Equation:
C. Answer:

Answers

Answer:

1230000

Step-by-step explanation:

this is because of growth and inflation and deflation

12% of 120,000 = 14400

14400x7 = 100800

120,000 - 100800 = 19200

A:DECAY

A park is 4 times as long as it is wide. if the distance around the park is 12.5 kilometers, what is the area of the park? 2 answers

Answers

Answer:

6.25 km^2.

Step-by-step explanation:

Let the park be x km wide. Then it's length is 4x km.

Perimeter = 2(Length + width)

12.5 = 2(4x + x)

2*5x = 12.5

x = 12.5 /10 =1.25 km.

So the park is 1.25 km wide and 4*1.25 = 5 km long.

The area of the park = 1.25 * 5

= 6.25 km^2.

The dimension of the park is 1.25 km by 5 km. Then the area of the park is 6.25 square km.

What is the area of the rectangle?

Let W be the rectangle's width and L its length.

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Area of the rectangle = L×W square units

A recreation area is multiple times for however long it is wide. assuming the distance around the recreation area is 12.5 kilometers.

Then the equation is given as,

L = 4W

Then the perimeter of the garden is given as,

12.5 = 2(L + W)

12.5 = 2(4W + W)

6.25 = 5W

W = 1.25 km

Then the length is given as,

L = 4 x 1.25

L = 5 km

Then the area of the garden is given as,

A = 5 x 1.25

A = 6.25 square km

The dimension of the park is 1.25 km by 5 km. Then the area of the park is 6.25 square km.

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pls helppppp
Edward, Fred, and George share some money in the ratio 5:7:3.
George receives $237.

find the total amount of money that was shared​

Answers

The concept of Ratios and shares.

let there be a common multiple 'x' for this ration, hence

5x + 7x + 3x = total money

here, 3x = $ 237

hence, x = $237/3 ==> $79

x = $ 79

hence now the total money that was shared =>

==> 5(79) + 7(79) + 3(79)

==> 395 + 553 + 237

==> $ 1185

The total money shared was $ 1185

equation that shows 3 less than the product of 4 and m

Answers

The statement is a mathematical statement, and the equation that shows the statement is y = 4m - 3

How to determine the equation?

The product of 4 and m is represented as:

4 * m

Evaluate

4 * m = 4m

3 less than this product is represented as:

4 * m - 3 = 4m - 3

Let the result of the equation be represented with y.

So, we have:

y = 4m - 3

Hence, the equation that shows the statement is y = 4m - 3

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Pls help! Due soon!!

Answers

Answer:

See below ~

Step-by-step explanation:

1. 3d + 2

2. John = Kelly - 6

3. y/4 - 3

4. Thomas = 2(Luis)

5. 8p + 6

6. x³ + 5

Using slope, tell whether each pair of
lines is parallel, perpendicular, or
neither:

Answers

First set is parallel - same gradient

Second set is neither - gradient is 2/6 or 1/3. It then had to be 3 for it to be perpendicular.

Hope this helps!

Use the numbers in the multiplication
equation 28 x 1/7= 4 to write a division
equation involving division by a fraction.

Answers

Changing the multiplication sign to a division sign, we will have 28 ÷ 7

Multiplication and division rule

Given the product of 28 and 1/7, we are to write a division equation involving division by a fraction.

Given

28 * 1/7 = 4

Changing the multiplication sign to a division sign, we will have:

28 * 1/7 = 28/7

This can also be written as 28 ÷ 7

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if A - 13= (-8), then what does A equal?
(will mark brainliest)​

Answers

Answer:

A = 5

Step-by-step explanation:

Add 13 to each side of the expression :

A - 13 + 13 = -8 + 13A = 13 - 8A = 5

Step-by-step explanation:

A 13+13 equal to -8+13

A 13-8

A 5

NEED QUESTION QUICK Franco’s gross weekly earnings are $895. The federal income tax withheld is $78.25. The state tax deduction is $9.15. He also contributes 4.5% of his weekly earnings to a health savings account. What are his net earnings?

Answers

Answer:

$771 is your answer rounded

Step-by-step explanation:

771.258

Answer:

895+ 78.25 + 9.12 + 4.5 will equal  986.87 just add all the numberes together and you will get 986.87

Step-by-step explanation:

so therefor your answer will be 986.87 but if you round it to the nearest hundred it would be a thousand

Points A and B have the same x-coordinates but opposite y-coordinates.
5
A
4
3
2
NS
5 4 3 2 1
1 2 3 4 5 X
-2
-3
B
-4
-5

Answers

The awnser is 3 units

Start from the y-axis and count to your point.

When I was in tge 5th grade frog leaps/ bunny hops helped me.

Robert wants to have 3 cherry trees planted on his property. He asked a landscaping company to give him a bid. The contractor wanted $750 to buy and plant the trees. Robert’s friend Tom said he would help him plant the trees on the weekend. The trees cost $115 each. How much will Robert save by having his friend help him?


Answers

Answer:

If I am correct he will save $405 by having his friend helping him.

Step-by-step explanation:

3x115=345

750-345=$405

totaled saved: 405

It's a trigonometry question.

Answers

The length of the hypotenuse x will be equal to x=89.72 cm.

What is trigonometry?

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.

It is given in the question that:-

The base is = 54 cm

Angle just opposite the base is =37

So the angle with the base will be =180-90-37=53

So by applying the cosine formula for the right-angled triangle:-

Cos Ф=(B)/(H)

Cos 53=(54)(x)

x=(54)(Cos53)

x=889.72 cm

Hence the length of the hypotenuse x will be equal to x=89.72 cm.

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How many kilometers is equal to 800 meters?

Answers

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

[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

How many kilometers is equal to 800 meters?

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

Divide the number of meters by 1000 to convert meters (m) into kilometers  (km):

[tex]\texttt{800:1,000=0.8 km}[/tex]

So 800 m is equal to 0.8 km.

Good luck.

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

A survey asks teachers and students whether they would like the new school mascot to be a shark or a moose. This table shows the results. Which statement is true? Sharks Moose Total Students 90 10 100 CARNE Teachers 5 10 15 Total 95 20 115 A. "Moose" is equally popular with students and teachers. B. There is no difference between the preferences of students and teachers. C. "Moose" is more popular with students, but "shark" is more popular with teachers. ch D. "Shark" is more popular with students, but "moose" is more popular with teachers.​

Answers

Shark” is more popular with students, but “Moose” is more popular with teachers.​ Then the correct option is D.

How to find the relative frequency?

Relative frequency is the ratio of the considered subgroup's count to the total count. (so its frequency of the considered subgroup relative to the total frequency).

A survey asks teachers and students whether they would like the new school mascot to be a shark or a moose.

This table shows the results.

                          Sharks              Moose            Total

Students               90                     10                  100

Teachers               5                       10                   15

Total                     95                      20                 115

Then the correct situation will be

Shark” is more popular with students, but “Moose” is more popular with teachers.​

Then the correct option is D.

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PLease help its a math question see image attached please

Answers

Answer:

Quadratic

Step-by-step explanation:

The function shown here is :

y = 2x²

As the degree of the polynomial is 2, this function is considered to be quadratic.

in need of help please :)

Answers

Answer:

okay let's start

Step-by-step explanation:

[tex]number \: 1 \\ cos \: b = \frac{adjacent}{hypotenuse} \\ cos \: b = \frac{ac}{cb} \\ \: \ cos \: b = \frac{12}{13} \\ [/tex]

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