On a certain hot​ summer's 439 day, people used the public swimming pool. The daily prices are $1.75 for children and $2.50 for adults. The receipts for admission totaled $1021.00 How many children and how many adults swam at the public pool that​ day?

Answers

Answer 1

Answer:102 children and 337 adults swam at the publice pool that da

Step-by-step explanation:

let the number of children be x

and

the number of adults be y

such that the total number of people who came to use the public swimming pool be expressed as

x + y = 439----- Equation 1

and price  for swimming be expressed as

1.75x + 2.50y =1021----- Equation 2

Step 2

x + y = 439----- Equation 1

1.75x + 2.50y =1021----- Equation 2

First make x the subject formulae and put in equation 2

x= 439-y

1.75 (430-y) + 2.50y = 1021

Solving gives

768.25-1.75y+2.50y=1021

2.50y-1.75y=1021-768.25

0.75y=252.75

y =252.75/0.75  

y=337

To find x, put the value of y = 337 in equation 1

x+y= 439

x= 439-337

x=102

Therefore 102 children and 337 adults swam at the public pool that day


Related Questions

PLZ HELP!

Ramon earns $1,820 each month and pays $53.20 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?

Answers

2% you have to cross multiply 53.20times 100 then divide by 1820

Step-by-step explanation:

2.6% b/c 1820×2.6/100

Bananas are 3/4 water. What percent of a banana is made up of water?

Answers

Answer:

75%

Step-by-step explanation:

3/4 in decimal form is 0.75

0.75 x 100% = 75%

Thus 75% of the banana is made up of water.

What is the value of x the equation 1,3,4,6

Answers

The Answer is 4.

You isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

C 4

Step-by-step explanation:

What is the base area.

Answers

Answer:

Area of the base is 10.5 cm².

Step-by-step explanation:

Formula for the volume of the given oblique prism = Area of the triangular base × Vertical height between two triangular bases

Vertical height = 6 cm

Volume = 63 cm³

From the formula,

63 = Area of the triangular base × 6

Area of the base = [tex]\frac{63}{6}[/tex]

                            = 10.5 cm²

Therefore, area of the base is 10.5 cm².

One triangle shown is formed by the tree, its shadow, and a line of sight from the ground to the top of the tree. The other is formed by Manny, his shadow, and a line of sight from the ground to the top of his head.Manny is 512 feet tall, and his shadow is 414 feet long. The shadow of the tree is 17 feet long. How can you determine the height of the tree?

Answers

Answer:

21 feet

Step-by-step explanation:

To solve this question, we would be using the proportion

Shadow /Height

From the question:.

Manny's shadow = 414 feet

Manny's Height = 512 feet

Height of the tree = ? = x

Shadow of the tree = 17 feet

Hence:

414/512 = 17/ x

Cross Multiply

414 × x = 512 × 17

x = 512 × 17/414

x = 21.024154589 feet

x ≈ Approximately = 21 feet

The height of the tree = 21 feet

The height of the tree is 21 feet.

Given that,

Manny is 512 feet tall, and his shadow is 414 feet long. The shadow of the tree is 17 feet long. Here we assume the height be x

Based on the above information, the calculation is as follows:

[tex]414\div 512 = 17\div x\\\\414 \times x = 512 \times 17\\\\x = 512 \times 17\div 414[/tex]

x = 21.02

= 21 feet

Therefore we can conclude that the height of the tree is 21 feet.

Learn more: brainly.com/question/24169758

PLEASEEEEE HELPPPP!

Answers

Answer:

option 4

Step-by-step explanation:

put like terms on either side

9x + 2a = 3a - 4x

subtract both sides by 2a

9x = a - 4x

add both sides by 4x

13x = a

divide both sides by 13

x = a/13

please give thanks, hit that heart button :)

Answer:

4.) a/13

Step-by-step explanation:

9x + 2a = 3a - 4x

9x + 4x = 3a - 2a

13x = a

13x/13 = a/13

x = a/13

Please help!!! Thank you!!!

Answers

Answer:

See below

Step-by-step explanation:

Statement                                      | Reason                                            

1. m∠A + m∠B + m∠C = 180°         | 1.  Angles in a triangle sum to 180°

2. 28° + x - 4° + 2x = 180°              | 2. Substitution

3. x=(180° - 24°)/3= 156°/3°= 52°   | 3. Algebra

Hi!!! People have been giving out points all day and i thought i would have a turn!! (30 points) I’ll give the crown to whoever is nicest in their answer!!! Happy holidays :)

Answers

Answer:

hi, hope you are good!, hope you have the greatst holidays ever!

Step-by-step explanation:

Answer:

aww thank you, u are too kind :) I appreciate that u are generous enough to give free points to people, I thank you for your generosity. Happy holidays and stay safe <333

Step-by-step explanation:

Given g(x)=2x+3, solve for x when g(x)=3

Answers

Answer:

-3/2

Step-by-step explanation:

Three items were bought at a car boot sale.
Item A
Mass = 42 grams
Volume = 2 cm
Item B
Mass = 87.5 grams
Volume 5 cm3
Item C
Mass = 147 grams
Volume = 7 cm3
=

The density of platinum is approximately 21 grams per cmº.
Which of the items cannot be platinum?
You must show your working.

Answers

Answer: Multiply the density with the volume. You get 2418.2 grams or 2.4182 kilograms

Step-by-step explanation:

Answer:

Item B

Step-by-step explanation:

A:

density = mas/volume = 42 g / 2 cm^3 = 21 g/cm^3    

This may be platinum.

B.

density = mass/volume = 87.5 g / 5 cm^3 = 17.5 g/cm^3

This cannot be pure platinum.

C.

density = mass/volume = 147 g / 7 cm^3 = 21 g/cm^3

This may be platinum.

Answer: Item B

Jack wanted to make note cards by cutting pieces of paper in half. Before starting he got two more pieces to use. When he was done he had 24 half-pieces of paper. With how many pieces did he start? A) 11 B) 9 C) 8 D) 10

Answers

Answer:

D) 10

Step-by-step explanation:

We are told in the question:

Jack wanted to make note cards by cutting pieces of paper in half. . When he was done he had 24 half-pieces of paper.

Step 1

Divide the number of half pieces by 2 to get the number of whole pieces that was cut

= 24 half pieces/2

= 12 full pieces

Step 2

With how many pieces did he start?

We are told in the question that: Before starting he got two more pieces to use

Hence: The number of pieces he started is calculated as:

12 pieces - 2 pieces

= 10 pieces

Hence, he started with 10 pieces

Given the graphed function below, which of the following ordered pairs are
found on the inverse function?

Answers

Answer: Option B.

Step-by-step explanation:

A linear function can be written as:

y = a*x + b

where a is the slope and b is the y-intercept.

if the line passes through the points (ax, ay) and (bx, by) then the slope is:

a = (bx - ax)/(by - ay)

In this case, we can see that the line passes through the points:

(1, 3) and (2, 1)

Then the slope is:

a = (1 - 3)/(2 - 1) = -2

y = -2*x + b

In the graph we also can see that the line intersects the y-axis at y = 5, then b = 5.

The line is:

y = f(x) = -2*x + 5.

the inverse function is such that:

g( f(x)) = x

to find the inverse function of a linear equation, we just could isolate x.

y - 5 = -2x

-y/2 + 2.5 = x

Then we could write the inverse function as:

g(x)  = - x/2 + 2.5

Now we need to see which pairs belong to this line. I just will evaluate the function g(x) in different values of x, and see which points belong to the line.

g(9) = -9/2 + 2.5 = -4.5 + 2.5 = -2

(9, -2) belongs to the line.

g(7) = -7/2 + 2.5 = -3.5 + 2.5 = -1

Then (7, -1) belongs to this line.

g(5) = -5/2 + 2.5 = 0

Then the point (5, 0) belong to this line.

We can already see that all these points are in option B, then option B is the correct one.

Help I give 20 points answer ASAP

Answers

Answer:

-1

Step-by-step explanation:

Please help me out!​

Answers

Answer:

4/3

Step-by-step explanation:

Elizabeth uses 34.95 ounces of granola for 15 servings of trail mix. If each serving contains the same amount of granola, how much granola is in each serving?

Answers

Answer:

2.33 ounces

Step-by-step explanation:

Given that:

Ounces of granola used = 34.95 ounces

Number of servings of trail mix = 15 servings

Since each serving contains the same amount of granola :

Amount of granola in each serving :

Ounces of granola used / Number of servings

34.95 / 15

= 2.33 ounces of granola per serving

Finn read 43 pages of his book in an hour
and a half. How many minutes would it take
to read 135 pages?

Answers

135 /43 = 3.14

60 * 3.14 = 188.4 minutes

A package of 12 pencils costs £2.95.
A binder costs £3.48.
Penelope buys a package of pencils and a binder. She pays with a £10
note.
What is her change?

Answers

Answer:

£3.57

Step-by-step explanation:

£2.95 + £3.48 = £6.43

£10.00 - £6.43 = £3.57

I’m not sure but I think it’s 3:57

Solve the equation for x.
logs (3x + 5) = log5 (2x + 8)
x = 7/3
x = 3
O
x = 0
O
No solution

Answers

Ummm that’s a googlable question

helicopter is flying at an elevation of 450 feet. It is within sight of the landing pad and the pilot finds that the angle of depression to the landing pad is 16∘. Find the distance between a point on the ground directly below the helicopter and the landing pad. Round your answer to the nearest whole number.

Answers

Answer:

138 feets

Step-by-step explanation:

Given that :

Angle of depression (α) = 16°

Elevation = height = 450 feets

Appling trigonometry :

From the picture attached :

Height / elevation = 450 feets (Adjacent)

Distance = d (opposite)

Tan α = opposite / Adjacent

Tan 17 = d / 450

450 tan17 = d

450 * 0.3057306 = d

d = 137.57880

Hence, distance between a point on the ground directly below the helicopter and the landing pad 138 feets

The distance between a point on the ground directly below the helicopter and the landing pad is 129.03 feet.

Given that,

The helicopter is flying at an elevation of 450 feet.

It is within sight of the landing pad and the pilot finds that the angle of depression to the landing pad is 16∘.

We have to determine,

The distance between a point on the ground directly below the helicopter and the landing pad.

According to the question,

The angle of depression =  16°,

Elevation = height = 450 feet

And d is the distance,

The angle of depression is an important component used in trigonometric operations.

The angle of depression is formed when the observer stands on a ground higher than the object which he is trying to observe.

Therefore, The angle of depression is,

[tex]Tan16 = \dfrac{d}{450}\\\\0.28 = \dfrac{d}{450}\\\\d = 450 \times 0.28\\\\d = 129.03 \ feet[/tex]

Hence, The distance between a point on the ground directly below the helicopter and the landing pad is 129.03 feet.

To know more about Trigonometry click the link given below.

https://brainly.com/question/13760328

Factor the following 36k^2-1

Answers

answer

[tex] {36k}^{2} - 1[/tex]

using identity

[tex](a + b)(a - b) = {a}^{2} - {b}^{2} [/tex]

let a=6k and b=1

we get

[tex](6k + 1)(6k - 1)[/tex]

hope you are satisfied

HELP ME PLZZ I NEED HELP WITH THIS!!

Answers

Answer:

its the second one

Step-by-step explanation:

Answer:

B. Subtract 28 from both sides

Step-by-step explanation:

2x + 28 = 40

      -28   -28

2x = 12

2x/2 = 12/2

x = 6


What do you notice about dividing numbers with the same base?

Answers

Answer:

it's the one all the way to the right

Complete the table below for the function y = -6x + 4.

Answers

when x= -5, y= 34; when y= 64, x = -10

What is the check digit, d, for the credit card number shown below?
6424 9813 2720 008d
А. 1
B. 3
с. 5
D. 7

Answers

Answer:

A.1

Step-by-step explanation:

I did a check digit calculator and it said that this would be the check digit

The check digit is 1.

Step-by-step explanation:

The check digit on credit is calculated by the following step:

Mark each digit odd and even from the right side.Now multiply each digit at an even place with '2'.And if the number after multiplication is double-digit then add both the digit to obtain a single digit.Now add all the digits obtained in the previous step along with digits at odd places.To this sum obtained check by adding what digit it becomes next multiple of '10'.And that digit will be our check digit.

Given:

The creditcard number: 6424 9813 2720 008d

To find :

Check digit,d

Solution:

6424 9813 2720 008d

Marking odd and even places from right side:

(e:even place,o:odd place)

e,o,e,o     e,o,e,o     e,o,e,o     e,o,e,o

6 4 2 4     9 8 1 3     2 7 2 0     0 0 8 d

Multipling every even place digit with '2'.

12,4,18,2,4,4,0,16

If two digit number then add both digits to have single digit

12,4,18,2,4,4,0,16 → 1+2,4,1+8,2,4,4,0,1+6 → 3,4,9,2,4,4,0,7

Now adding all the digits obtained in prevoius step with digits at odd place:

(3+4+9+2+4+4+0+7)+(4+4+8+3+7+0+0)= 59

The next multiply of 10 can be obtained by adding 1 to '59' that is 60. So, the check digit will be'1'.

59+1 = 60

(60 is a multiple of the number '10'.)

The check digit is 1.

Learn more check digit here:

brainly.com/question/23944800?referrer=searchResults

Do you agree or disagree with each statement? Explain your reasoning.

Employee A gets a pay raise of 50%. Employee B gets a pay raise of 45%. So Employee A gets the bigger pay raise.

Pls help.

Answers

Answer:

agree

Step-by-step explanation:

I agree with employee A getting a bigger pay raise than employee B if employee be got a bigger pay raise that is because they have more responsibility or have more skills than employee B.

PLEASE HELP ME WITH THIS PROBLEM ASAP

Answers

Answer:

8

Step-by-step explanation:

32/4=8

Answer: 8 minutes

Step-by-step explanation: You can use a proportion to calculate.

[tex]\frac{32}{4} = \frac{x}{1}[/tex]

32 x 1 / 4 = 8

8 minutes = 1 mile

help needed! what is 2/3 of 2? (and if possible can you give an easy explanation?)

Answers

Answer:

2/3 of 2 is 1.33

Step-by-step explanation:

this because 2/3 times 2 is 1.33

Answer:

4/3

Step-by-step explanation:

2/3 of 2 is basically multiplying 2/3*2/1.

Therefore it's (2*2)/(3*1) which is 4/3.

Find the degree of the polynomial.

Answers

Answer:

Degree of the polynomial = 3

Step-by-step explanation:

The given polynomial is [tex]18x^3y^2[/tex]

There are two variables in this polynomial i.e. x and y.

The exponent of x is 3 and that of y is 2.

We need to find the degree of the polynomial.

The degree of the polynomial is defined as the highest degree of any of the term.

In this case, the degree of polynomial is 3 as it has highest power than the power of y.

What is the constant of proportionality for the relationship represented by this graph?

Answers

Answer: (5,11)

Step-by-step explanation:

Answer:

k = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The equation of proportionality is

y = kx ← k is the constant of proportionality

To find k use any coordinate point lying on the graph

Using (12, 6 ), then

6 = 12k ( divide both sides by 12 )

k = [tex]\frac{6}{12}[/tex] = [tex]\frac{1}{2}[/tex]

Find the slope of the line that contains (-1,4) and (2,6).

Question 2 options:


2
_
3


3
_
2


5
_
4


-2
_
3

Answers

the slope with those coordinate points is 2/3
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