Mathematics High School

On a certain hot​ summer's day, 291 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for adults. The receipts for admission totaled $472.50 How many children and how many adults swam at the public pool that​ day?

Answers

Answer 1

Answer: 219 children and 72 adults swam at the public pool that day.

Step-by-step explanation:

Let x = Number of children , y= Number of adults.

As per given,  x+y = 291      (i)

1.5x+2y = 472.50         (ii)

Multiply 2 on both sides of (i) , we get

2x+2y = 582  (iii)

Eliminate (ii) from (iii), we get

0.5x = 109.5

[tex]\Rightarrow x=\dfrac{109.50}{0.5}=219[/tex]

Put value of x= 219 in (i)

219+y= 291

⇒ y = 291-219 = 72

Hence, 219 children and 72 adults swam at the public pool that day.

Related Questions

Mindy needs to rake a rectangular part of her yard that is 9 feet by 8 feet. It takes her 10 minutes to rake an area that is 12 feet square. How long will it take Mindy to rake the rectangular part of her yard?

Answers

Answer:

60 minutes

Step-by-step explanation:

Time taken to rake 12ft² = 10 minutes

Area of Mindy's rectangular path :

Area of rectangle = Length * Width

Dimension of Mindy's rectangular path = 9ft by 8ft

Area = 9ft * 8ft

Area = 72ft²

Hence, it will take Mindy;

(Area of Mindy's path / 12 ft) * time taken

(72ft² / 12ft²) * 10 minutes

6 * 10 = 60 minutes

ILL MAKE BRAINLEST YOUR GONNA HAVE TO ZOOM IN BUT AM I RIGHT

Answers

Yes you are right good luck
I zoomed and I still can’t see sorry

whats three hundred x three hundred 300x300

Answers

Answer:

90000

Step-by-step explanation:

this baby has big brain

Judy is selling small candles at the fair for $4 each and large candles for $6 each. She collected $144 selling a
total of 28 candles. How many of each candle did she sell? Use x for the small candles and y for the large
candles.

Answers

12 small candles, 16 large candles.

HOW TO SOLVE

Let x = the number of small candles sold
Let y = the number of large candles sold

You are given two pieces of information:

(1) Number of candles sold: x + y = 28
(2) Revenue based on cost per candles sold: 4x + 6y = 144

Two equations, two unknowns - Solving by substitution (x = 28 - y)

4 * (28-y) + 6y = 144
112 - 4y + 6y = 144
112 + 2y = 144
2y = 32
y = 16

If y = 16, back substitute to find x = 12

Double check using revenue generated:

4x + 6y = 144
4(12) + 6(16) =? 144
48 + 96 = 144

can I get help with this

Answers

Answer:

$3,600

Step-by-step explanation:

To find the total amount we can state that $270 divided by 0.075 can find us the total amount of office receipts.

Doing so, we get: $270 over 0.075 = $3,600

A triangle has a base of two to the third power units and a height of chicken fourth power units what is the area of the triangle

Answers

i think you had an auto correct problem

Ramon owed $850.00 on his car loan. Two months later, he owed $510.00
on the loan. By which percent did Ramon's car loan amount decrease?

Answers

Answer:

40%

Step-by-step explanation:

(850-510)/850 = 340/850 = 2/5 = 40%

Answer: 40% I looked it up

Step-by-step explanation:

Myra gets paid at home for doing extra chores. Last week, she did 5 loads of laundry and 8 loads of dishes, and her parents paid her $18. The week before, she finished 4 loads of laundry and 6 loads of dishes, earning a total of $14. How much does Myra earn for completing each type of chore?

Answers

Answer: Laundry = $2

Dishes= $1

Step-by-step explanation:

Let the amount paid for doing laundry be x

Let the amount paid for doing dishes be y.

Based on the information in the question, this can be formed in an equation as:

5x + 8y = 18 ..... i

4x + 6y = 14 ...... ii

Multiply equation i by 4

Multiply equation ii by 5

20x + 32y = 72 ...... iii

20x + 30y = 70 ...... iv

Subtract iv from iii

2y = 2

y = 2/2 = 1

Dishes cost $1

Since 5x + 8y = 18

5x + 8(1) = 18

5x = 18 - 8

5x = 10

x = 2

Laundry cost $2

The volume of a cylinder is 176 cm and its height is 11 cm,
What is the length of the cylinder's radius?

Answers

Answer:

4cm

Step-by-step explanation:

The volume of the cylinder is the product of the area of the base and the height. In mathematical equation, this can be written as,

                                     V = πr²h

where V is volume, r is the radius, and h is the height.

Substituting the known values from the given,

                                 176π cm³ = πr²(11 cm)

Select the correct answer. What is the solution of
[tex] \frac{5}{2}x - 7 = \frac{3}{4}x + 14[/tex]
A. x = -6
B. x = 6
C. x = 8
D. x = 12​

Answers

Answer:

Option D

Step-by-step explanation:

[tex] \frac{5x}{2} - 7 = \frac{3x}{4} + 14[/tex]

[tex] = > \frac{5x}{2} - \frac{3x}{4} = 14 + 7[/tex]

[tex] = > \frac{7x}{4} = 21[/tex]

[tex] = > x = \frac{21 \times 4}{7} = 12[/tex]

find the values of z and y plssss

Answers

Answer:

z is 23 and i dont see a y

Step-by-step explanation:

Give the domain and range of the relation th
1. {(-3, 3), (1, 1), (0, -2), (1, -4), (5, -1)}
Domain:
Range:
Function?
What is it

Answers

Answer: the domain is -3. 1, 0, 1, and 5 and range is, 3. 1, -2, -4, and-1 I dont know the function but I hope this helped

Step-by-step explanation:

Find the coordinates of the point where y-4x=1 crosses the y axis

Answers

Answer:

The coordinate is (0,1) .

Step-by-step explanation:

A linear equation is given to us and we need to find the point at which it will cut y axis . The given eqution is y - 4x = 1. We know that at y axis x coordinate is 0. So on substituting x = 0 , we have ;

Put x = 0 :-

⇒ y - 4x = 1

⇒ y - 4*0 = 1

⇒ y - 0 = 1 .

⇒ y = 1 .

Hence the required co ordinate is ( 0 , 4 ).

Nick and eddie are both thinking of a number. Eddies number is 3/7 of nicks number. There is a difference of 52 between their two numbers. What are the two numbers

Answers

Answer:

nick's number = 91

eddie's number = 39

Step-by-step explanation:

n = nick's number

[tex]\frac{3}{7}[/tex]n = eddie's number

[tex]\frac{7}{7}[/tex]n - [tex]\frac{3}{7}[/tex]n = 52

[tex]\frac{4}{7}[/tex]n = 52

cross-multiply:  4n = 52(7)

                         4n = 364

                          n = 364/4 = 91

eddie's number:  [tex]\frac{3}{7}[/tex] · 91 =  273/7 = 39

Nick's number is 91

Eddie's number is 39

What is expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:

Constant: A constant is a fixed numerical value.

Variable: A variable is a symbol that doesn't have a fixed value.

Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.

Coefficient: A coefficient is a number that is multiplied by a variable in an expression.

Given,

Eddie's number is 3/7 of Nick's number

Let Nick's number be x

Then Eddie's number = 3x/7

Difference of the numbers is 52

x - 3x/7 = 52

(7x - 3x)/7 = 52

4x/7 = 52

4x = 52×7

x = 364/4

x = 91

Another number = 3x/7

                            = 3(91)/7

                            = 3 × 13

                            = 39

Hence, 91 is Nick's number and 39 is Eddie's number.

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ5

6x-2y=156.......(1)
X - y=18.........(2)
(1)-2×(2 )
How will you go about it​

Answers

Plug in equation 1 and 2 into the formula: 156-2*18=

Answer:

Step-by-step explanation:

(1) 6x-2y=156

2×(2) ; 2(x-y=18)

;2x-2y=36

from (1)-2×(2)

is 6x-2y=156 -

2x-2y=36

4x=120

x=30

from (2)

x-y=18

x-18=y

y=30-18

y=12

Choose the definition for the function.

Answers

Answer: C

Step-by-step explanation:

The ration of child to teen to adult tickets sold at a water park on Saturday was 4:1:2. A total of 294 tickets were sold. How many child tickets were sold?

Answers

Answer:  168 child tickets were sold.

Step-by-step explanation:

Given: The ratio of child to teen to adult tickets sold at a water park on Saturday was 4:1:2.

Let the number of child tickets = 4x , teen tickets = x , adult tickets = 2x

Total tickets = x+4x+2x = 7x =294

[tex]\Rightarrow\ x=\dfrac{294}{7}\\\\\Rightarrow\ x=42[/tex]

Number of child tickets = 4(42) = 168

Hence, 168 child tickets were sold.

Please help!
And explain the answers too!

Answers

1) He worked 4 hours leaving 6 more hours for him.
rate for A alone 6 baker
rate for A & B together 4
1/a+1/b=1/x
1/6+1/b=1/4
1/b=1/4-1/6
1/b=6/24-4/24
1/b=2/24
1/b=1/12
b=12
rate for wife alone 12 hours for the remaining 6 hours
check
1/6+1/12=1/4
12/72+6/72=1/4
18/72=1/4
ok
codewa
But we want to know how long it would have taken her for the whole job not just part of it
he works twice as fast as she does so the job that takes him 10 hours alone would take her 20 hours alone.

2) jessica and cynthia work in a pet shop.
it takes jessica 6 hours to groom all the pets but cynthia needs 8 hours to groom them.
if jessica starts to groom 1 hour before cynthia joins, how long will it take them to finish?
:
let t = time it takes them to finish (C's working time)
then
t+1 = J's working time
let 1 = completed job (all pets groomed)
:
A shared work equation, each does a fraction of the job, the two fractions add up to 1
%28%28t%2B1%29%29%2F6 + t%2F8 = 1
Multiply by the least common multiple of 6 and 8, 24. cancel the denominators
4(t+1) + 3t = 24
4t + 4 + 3t = 24
4t + 3t = 24 - 4
7t = 20
t = 20/7
t = 26%2F7 hrs, which is: 2 + 6%2F7*60 = 2 hrs 51.43 min to finish the job

3) math club takes 40 minutes
science takes 50 minutes.
rate * time = quantity
quantity = 1 set up of the tables.
rate for math club is 1/40 of all the tables in 1 minute.
rate for science club is 1/50 of all the tables in 1 minute.
math club works for 10 minutes.
rate * time = quantity
1/40 * 10 = 10/40 = 1/4 of the tables are already set up by the math club.
there are 3/4 of the tables that still need to be set up.
rate * time = quantity
the rates of the math club and the science club are additive.
(1/40 + 1/50) * time = 3/4 of the tables that still need to be set up.
common denominator is 200.
(5/200 + 4/200) * time = 3/4.
9/200 * time = 3/4
time = 3/4 * 200/9 = 600 / 36 = 16 and 2/3 minutes.
total time required is 10 + 16 + 2/3 minutes = 26 + 2/3 minutes.
how to check.
10 minutes is used to do 1/4 of the tables.
16 + 2/3 minutes is used to do the remaining 3/4 of the tables.
combined rate of math and science club is 9/200 of the tables in 1 minute.
math club rate of 1/40 * 10 = 10/40 = 1/4 of the tables.
combine rate of 9/200 * (16 + 2/3) = 9/200 * 50/3 = 450/600 = 9/12 = 3/4 of the tables.
1/4 + 3/4 = 1 = all of the tables.

Aiden cuts a ball of string into 14 equal pieces. The length of each piece of string is 2 1/4 yards. What is the original length of the ball of string?

Answers

Answer:

31 1/2 yards

Step-by-step explanation:

In order to calculate the original length of the ball of string we simply need to multiply the length of each piece of string by the total number of strings that were produced from the original ball of string. First, we can turn the 2 1/4 into a single decimal number. Since 1/4 is equal to 0.25 we just add this to 2 to get 2.25, now we can go ahead and multiply this by the 14 total pieces.

2.25 * 14 = 31.5 or 31 1/2 yards

The average blink last one-tenth of a second. If you blink 14,000 times per day, for how many seconds are your eyes closed while you’re awake? Divide this number by 60 to determine the number of minutes per day your eyes are closed while awake. (2 pts.)

Answers

Answer:

14?

Step-by-step explanation:

solve for y
equation : y=mx+b

Answers

Answer:

? i need numbers

Step-by-step explanation:

When filling in numbers to this equation. Y would be equal to the y-intercept. The y-intercept is the part of the line that crosses over the y line on a coordinate plane. Hope this helps and please mark brainliest!

need to know soon! please help​

Answers

Answer:

59

Step-by-step explanation:

62+59= 121

180-121= 59

Answer:

m<1 = 121

Step-by-step explanation:

59 + 62 = 121

180 - 121 = 59

180 - 59 = 121

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.

what is 1/5x +8 < -4

Answers

Answer:

The answer is x< -60

please let me know if I am incorrect.

Explanation:Solve for x by simplifying both sides of the inequality, then isolating the variable.

What fraction goes in the box to make it correct?
4/11×_=1​

Answers

Step-by-step explanation:

[tex] \frac{11}{4} [/tex]

[tex] \frac{4}{11} \times \frac{11}{4} = \frac{44}{44} = 1[/tex]

if it's helpful ❤❤❤

THANK YOU.

Find each function value f(-7) if f(x) = 3x + 6

Answers

Answer:

-15

Step-by-step explanation:

3*-7=-21+6=-15

Answer:

Step-by-step explanation:

first multiply -7 and 3 since -7 is the element of the function (x)

then you should get (-21)

now add 6 and you answer should be (-15)

what is 5000000000000000times 409458374.9394ir

Answers

Answer:

2,047,291,874,697,000,000,000,000

Step-by-step explanation:

that is the answer to the multiplication statement xD

I need the answer plz so I dont fail

Answers

Answer:

Whats the problem?  it wont show for me...

Step-by-step explanation:

i will awnser, just gotta give me the problem

Solving a Real-World Problem
Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Each problem is
worth either 5 points or 2 points. Write a system of equations that can be used to find how many problems of each
point value are on the test.
Let x be the number of questions worth 5 points and let y be the number of questions worth 2 points.
x + y = 29, 5x + 2y = 100
x + y = 100, 5x + 2y = 29
5x + y = 29, 2y + x = 100
2x + y = 100, 5y + x = 29

Answers

Answer:

x + y = 29

5x + 2y = 100

Step-by-step explanation:

Here, we want to set up equations

There are 29 problems, so adding up the number of individual problem types will give 29

x + y = 29 ••••••(i)

Let us work with points now;

x is worth 5 points, y is worth 2 points

Thus, mathematically;

5x + 2y = 100 ••••••••••(ii)

Answer: A. x + y = 29, 5x + 2y = 100 and the other one is B. 14 problems worth 5 points and 15 problems worth 2 points

I need help again with this last problem.

Answers

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

[tex] |12| + | - 15| = [/tex]

[tex]12 - ( - 15) = [/tex]

[tex]12 + 15 = [/tex]

[tex]27[/tex]

Thus the correct answer is the last option .

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

Answer:

[tex] \boxed {27}[/tex]

Step-by-step explanation:

All negative numbers in the absolute sign will become positive.

[tex] |a| = a \: \: \: \: \: \: \: (a \geqslant 0) \\ |a| = - a \: \: \: \: \: \: (a < 0)[/tex]

Therefore we evaluate | - 15 | = 15

[tex]12 + 15 = \red {27}[/tex]

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