On a certain hot​ summer's day, 232 people used the public swimming pool. The daily prices are $1.50 for children and $2.25 for adults. The receipts for admission totaled $435.75. How many children and how many adults swam at the public pool that​ day?

Answers

Answer 1

Answer:

children is 115 and adult is 117

Step-by-step explanation:

Given

let the number of children be x

and the number of adults be y

so

x+y=232----------------1

We are told that the  daily prices are $1.50 for children and $2.25 for adults

so

1.5x+2.25y= 435.75-------------------2

Hence the system of equation for the situation is

x+y=232-----1

1.5x+2.25y= 435.75-------2

From 1    x=232-y

Put this in Eqn 2

1.5(232-y)+2.25y= 435.75

348-1.5y+2.25y= 435.75

collect like terms

-1.5y+2.25y= 435.75-348

0.75y=87.75

divide both sides by 0.75

y= 87.75/0.75

y=117

the number of adults is 117

put y= 117 in eqn 1

x+117=232

x=232-117

x=115

The number of children is 115


Related Questions

There were 460 people at a local football game. 3/5 of them were students how many people that attended the football game were students

Answers

Answer:

240

Step-by-step explanation:

10. Pentagon ABCDE is rotated 90° clockwise about the origin to form pentagon A'B'C'D'E'. Which statement is NOT true?

A. The angle measurements of pentagon ABCDE is equivalent to the corresponding angle measurements of A'B'C'D'E'
B. Pentagon ABCDE is congruent to pentagon A'B'C'D'E'.
C. The orientation of Pentagon ABCDE is the same as the orientation of Pentagon A'B'C'D'E'
D. Pentagon ABCDE will have equivalent side lengths to corresponding sides of pentagon A'B'C'D'E'.​

Answers

Answer:

A

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Pentagon ABCDE will have equivalent side lengths to corresponding sides of pentagon A'B'C'D'E'.​ Q: Pentagon ABCDE is rotated 90° clockwise about the origin to form pentagon A'B'C'D'E'. Which statement is NOT true?

A pencil box contains different colored pens as listed below:
•5 green pens
• 3 blue pens
• 2 red pens
A pen will be randomly selected from the drawer. Then another pen will be randomly selected
from the drawer. What is the probability that a blue pen will be selected both times

Answers

Answer:

1/15

Step-by-step explanation:

Probability of 1st selection being blue = 3/10

Probability of 2nd selection being blue (if the 1st blue is not replaced) = 2/9

multiply: 3/10 x 2/9 = 1/15

Plz help i don't know what X is

Answers

Answer:

1,920

Step-by-step explanation:

A=L x W

so we have to multiply each number

24*8=192

192*10=1,920

7. If JKL ~ NMP, find the x
help me! also show work so i won’t ask again

Answers

Answer:

x = 3

Step-by-step explanation:

Based on similar triangle;

14/49 = x+5/9x+1

Cross multiply

49(x+5) = 14(9x+1)

49x + 245 = 126x + 14

49x - 126x = 14 - 245

-77x = -231

x = -231/-77

x = 3

Hence the value of x is 3

How many edges does this shape have? 6 , 9 , 10 , 12​

Answers

If that’s a rectangular prism 12 edges

Use the spinner to find the theoretical probability of the event. Write your answer as a fraction or a percent rounded to the nearest tenth. Of red?

Answers

Complete question :

Picture relating to the question is attached below.

Answer:

1 / 3

Step-by-step explanation:

The Theoretical probability of an event is defined as :

P(event) = required outcome / Total possible outcomes

Based on the picture of the attached spinner below :

P(red) :

Required outcome = number of red partitions = 2

Total possible outcomes = total Number of partitions = 6

Hence,

P(Red) = 2 / 6 = 1/3

Seven times the sum of a number and 3 is 9.​

Answers

Answer: -1.71

7(x+3) = 9 is the equation

7x+21 = 9

7x = -12

x= -12/7

x= -1.71

Cora is building block towers of two different heights. In each tower, the ratio of blue blocks to green blocks remains the same as shown in the diagram.

Blue 4 blockss
Green 1 block
The table shows the number of blue blocks and the number of green blocks that Cora will use on each of her towers.
Based on the ratio, complete the missing values in the table.
Blue blocks Green blocks
A16. __________
_________ B7

Answers

Answer:

Can you show me a pic

Step-by-step explanation:

Can you show me a pic

Answer:

4 and 28 on khan academy

The _________ is the appropriate measure to describe the spread.
Interquartile Range
Standard Deviation

Answers

Answer:

interquartile range

Step-by-step explanation:

Answer:

standard deviation

Step-by-step explanation:

Find the range of the function y=7x-1 when the domain is {-1, 0, 1}​

Answers

Answer: 1

Step-by-step explanation:

Sandy orders 20 bread rolls for her party, and 3/5 of the rolls are whole wheat. What other fraction represents the part of rolls that are whole wheat?

Answers

Answer:

12/20

Step-by-step explanation:

Sandy orders 20 bread rolls for her party, and 3/5 of the rolls are whole wheat. What other fraction represents the part of rolls that are whole wheat?

The number of rolls that are whole wheat is calculated as:

3/5 × 20 bread rolls

= 12 wheat bread rolls

Hence, the other fraction thag represents the part of rolls that are whole wheat = 12 wheat bread rolls/20 bread rolls

= 12/20

What is the value of 3ab + c when a = 0.32, b = 0.45, and c = 7.2?

Answers

Answer:

7.632

Step-by-step explanation:

When solving this equation, you need to substitute the number equal to a where the a is in the equation, along with the b and c. So since a=0.32, then I would put that where the a is in 3ab+c. Same goes with the other letters.

a = 0.32

b = 0.45

c = 7.2

3ab+c

3(0.32)(0.45)+7.2 *Multiply the 3 to 0.32

0.96(0.45)+7.2 *Multiply the 0.96 to 0.45

0.432+7.2 *Add

7.632

A plane’s average speed between Tucson and Phoenix is 600 km/hr. If the trip takes 0.75 hrs. How far does the plane fly?

Answers

Step-by-step explanation:

speed = Distance /Time

600 = Distance / 0.75

Distance = speed * Time

Distance = 600 * 0.75

Distance = 450 km

Answer:

i hope the above pic will help you

I will always help you understanding your assingments

enjoy your day

#Captainpower:)

a rectangle has a length 3 meters more than three times the width. the area of the rectangle is less than 90 meters squared. write an expression that represents all possible widths (use the variable x) of the rectangle. write your answer as an inequality, a < x < b.

Answers

Answer: -6<x<5

Step-by-step explanation:

Given

Length is 3 m more than three times the width

Suppose width is x

So, the length is 3x+3

The area of a rectangle is  [tex]length\times width[/tex]

Area= [tex](3x+3)x<90[/tex]

[tex]\Rightarrow 3x^2+3x-90<0\\\Rightarrow x^2+x-30<0\\\Rightarrow x^2+6x-5x-30<0\\\Rightarrow (x+6)(x-5)<0\\\Rightarrow -6<x<5[/tex]

The diameter of a circular hatbox is 16 inches. What is the circumference of the hatbox?

Answers

Answer:

≈50.27

Step-by-step explanation:

If Jacob earns 20$ per month but spends 10$ every 2 weeks. How much money does Jacob earn in 1 year?

Answers

He earns $120 in one year

Answer:

he earns 170996695212345678910

i need this fast guys. willing to give brainliest

Answers

Answer: vertex: A, base: B and C

Step-by-step explanation:

Solve by graphing :

-x + 3y = -9
y = -x + 1

Answers

Step-by-step explanation:

the answer from the graph is;

(3 , -2)

what is the slope and y intercept for x+4=0

Answers

Answer:

slope is 1 ans intercept is 4

Step-by-step explanation:

ILL GIVE BRAINLIEST TO WHOEVER HELPS ME PLEASE I HAVE NO TIME BC ITS LITERALLY DUE TMRW

Answers

9514 1404 393

Explanation:

Part A.

1. You have provided an estimate of 600 minutes per month.

__

2. The cheapest plan is likely to be Plan 6 (Public Mobile), as it has no per-minute charge.

__

Part B.

1. Table 2.

See the first attachment for Table 2. For the chosen plan, there is no per-minute charge, so the monthly charge is the same for all numbers of minutes.

__

2. Rate of Change and Slope (m)

a) Adding a minute adds $0 to the cost

b) The rate of change (m) is 0/1 = 0 (dollars per minute)

__

3. Initial value (b)

a) The plan costs $24.00 when no minutes are used.

b) The initial value (b) is 24.

__

4. Equation of the line

a) Filling the found values of m and b into the equation of the line, we have ...

  y = mx + b

  y = 0x + 24

  y = 24 . . . . . . simplified

__

Part C.

Table 3 can be found in the second attachment.

The b in each case is the value from the Monthly Cost column of Table 1.

The m in each case is the value from the Cost per minute column of Table 1.

The equation is found by copying the values of m and b into y = mx + b.

The number in the last column is found by multiplying the minutes (x) by m, then adding b. For example, your cost for Plan 5 (BELL) is ...

  y = 0.10x + 10

  y = (0.10)(600) +10 = 60 +10 = 70

Solve the equation for p, then justify your reasoning. -9p - 17 = 10

Answers

Answer:

p=-17/9 or p=-1.8889

Step-by-step explanation:

-9p-17=10

add 17 to each side

-9p-17+17=10+17

-9p=17

divide both sides by -9

-9p/-9=17/-9

p=-17/9

or p=-1.8889

Solution of equation - 9p - 17 = 10 is p = -3.

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

For example, 3x – 5 = 16 is an equation.

Given equation

- 9p - 17 = 10

Add 17 to both sides

- 9p - 17 + 17 = 10 + 17

Adding the numbers

- 9p = 10 + 17

Adding the numbers

- 9p = 27

Divide both sides by - 9

-9p/ - 9 = 27/ - 9

Cancel terms that are in both the numerator and denominator

p = 27/ - 9

Divide the numbers

p = -3

Hence, p = -3 is the solution for equation - 9p - 17 = 10

Learn more about equation here:

https://brainly.com/question/1529522

#SPJ5

Someone help me pleaseee

Answers

Answer:

R

Step-by-step explanation:

Based on her recipe, Elena knows that 5 servings of granola have 1,750 calories.
Write an equation to represent the relationship between the number of calories and the number of servings of granola.

Answers

Answer:

1,750 ÷5= 350

Step-by-step explanation:

there are 350 calories in each serving 1,750 is the total

1750 divided by 5 is 350 there is 350 calories in one serving of granola

A leopard is running with a velocity of 3 m/s. it then accelerates at 2 m/s² for 4 seconds.
use the formula:
v = u + at
to work out the final velocity of the leopard.

please can people reply and help me thank you

Answers

Using the formula:

v = u + at

Here s is distance, u is initial velocity, v is final velocity, a is acceleration and t is time.

In this case, u = 3m/s, a = 2m/s^2, t = 4s and we want to find final velocity, v, s, v = u + at

v = 3 + 2(4) = 11m/s

Hope this helps!

A triangle has an area of 96 square inches. The base is 8 inches. What is the height (in inches)? plzzzz help

Answers

Answer:

4236

Step-by-step explanation:

youyou get that answer by writing and taking notes and going to sleep early to cover fresh mindset and learning might sit and be ready to go to school

Kelly recorded the distances she ran last week. The total numbers of miles she
ran on Monday and Tuesday is the same as the total number she ran Wednesday
through Friday

Answers

Answer:

whats the answer choises

Step-by-step explanation:

Answer: For what does x equal it is 5

Step-by-step explanation:

Second one is 9 miles

Alex divided 1 3/4 pound bag of apples among her 3 friends. How many pounds of apples did each friend receive?

Answers

Answer:7/12 or 0.5833333

Step-by-step explanation:

1 3/4 divided by 3 = 7/12

Determine the slopes of the following equation using their intercepts​

Answers

Answer:

yo slide me that number ong

Step-by-step explanation:

What is the value of x?

Answers

Answer:

9

Step-by-step explanation:

3(9) = 27-20= 7

Which is about accurate

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