On a certain hot​ summer's day, 477 people used the public swimming pool. The daily prices are 1.50 for children and 2.25 for adults. The receipts for admission totaled 914.25 How many children and how many adults swam at the public pool that​ day?

Answers

Answer 1

Answer:

212 children, and 265 adults

Step-by-step explanation:

To find the number of children and adults, we can set up a systems of equations.

x= number of children

y= number of adults

Equation 1: Price

1.50x+2.25y=914.25

Equation 2: Total number of people

x+y=477

Now, let's solve the equation using substitution.

Rearrange the second equation to solve for one variable.

x+y=477

x=477-y

Now plug x equals into the first equation, and solve for y.

1.50x+2.25y=914.25

1.50(477-y)+2.25y=914.25

715.5-1.50y+2.25y=914.25

715.5+0.75y=914.25

0.75y=198.75

y=265

We just solved for the number of adults. Now let's plug y equals into the second equation to find the number of children.

x+y=477

x+265=477

x=212


Related Questions

PLEASE HELP ME ASAP this is very important to me IT WILL RAISE MY GRADE and if you help me god bless you

Answers

Answer:

9

Step-by-step explanation:

The equation for a slope is y=mx+b, b being the y-intercept. Then, you can plug in the equation given and have 9 as your answer.

Answer:

the y intercept is 0

Step-by-step explanation:

i used a slope to help me find the y-intercept

Grace needs to buy textbooks for her first semester in college. She borrows $660 and must pay the money back in equal amounts for 11 months. She must also pay $3 interest each month. What is her monthly payment, including interest?

Answers

660/11= 60+3= 63
her monthly pay would be $63

9. In the figure below, Angle 1 is congruent to Angle 2.

What reason can be used to prove that mis parallel to n?

A. if a pair of verticals angles is congruent, then the lines forming them are parallel

B. If a pair of angles formed by a transversal is corresponding and supplementary, then two lines are parallel

C. If a pair of angles is congruent and the sum of their measures 180 degrees, then the line forming the angles are parallel

D. If two line are intersected by a transversal, and a pair of corresponding angles is congruent, then the two lines are parallel

Answers

Answer:

D

Step-by-step explanation:

When 2 angles are congruent and corresponding, the lines are parallel

yler’s brother earns a commission. He makes `2.5\%` of the amount he sells. Last week, he sold `\$9,000` worth of shoes. How much was his commission?

Answers

Answer:His commision is $225Step-by-step explanation: To figure this out, convert 2.5% into a decimal, which is 0.025. Then, multiply the amount he sold by his commission percent. So $9000 * 0.025 =$225

15 points!!! Please help with math

Answers

Answer:

  (b)  y -4 = 3(x -2)

Step-by-step explanation:

You are given the form

  y -y1 = m(x -x1)

and the values

  y1 =4, m =3, x1 =2

Putting these in their places gives ...

  y -4 = 3(x -2)

17 and 18 guys
aaaaaaaaaaaa I can do the rest but i just need to get this done & over with

Answers

Answer:

17a 3.5 hours

17b 3 hours

18. w=10

Step-by-step explanation:

17a 60 miles/hour and 210 miles

so 210/60 = 3.5 hours

17b, 70 miles/ hour and 210 miles

so 210/70 = 3 hours

18. 1.5/2=7.5/w

1.5w=7.5*2

w=10

Prism A and Prism B have the same volume. Which could be the dimensions of Prism B?
Prism A:
length = 8 feet
width = 4 feet
height = 5 feet Prism B:
length=? feet
width=? feet
height=? feet

Answers

Answer:

length = 20 ftwidth = 20 ftheight = 0.4 ft

Step-by-step explanation:

The volume of Prism A is ...

  V = LWH

  V = (8 ft)(4 ft)(5 f) = 160 ft³

Any set of dimensions that have a product of 160 ft³ will give a prism with the same volume. You could have, for example, ...

  length = 20 ft

  width = 20 ft

  height = 0.4 ft

Step-by-step explanation:

We know that

Volume of prism = lwh

=> 8 × 4 × 5

=> 32 × 5

=> 160 ft³

So,

The possible length, height and width could be

Length = 10 ft

Breadth = 8 ft

Height = 2 ft

3x - 2 < 4

what is the solution for the inequality

Answers

Answer:

x<2

Step-by-step explanation:

Name the perpendicular bisector….

Answers

Answer:

B and C

Step-by-step explanation:

I chose these bisector angles because they both are at a 90 degree angle

Find cos 2α; the angle α is in the fourth quadrant, and sin α = -0.45. Which double-angle identity should you use?


cos2α = 1 – 2〖sin〗^2α

sin(α)cos(α) - cos(α)sin(α)

sin(α)cos(α)

2sin(α)cos(α)

Answers

Answer:

it is the last one

Step-by-step explanation:

me big brain


Write an equation of the line that passes through the point (3,-5) and has the slope of 2

Answers

Answer:

Y-Y1=M(x-x1)

that's the formula then fixing in your values we have

y + 5 =2(x-3)

y+5 =2x-6

Crossing over we have

y-2x=-6-5

equation of the line equals

y-2x-11 =0

find 3 arithmetic means between -4 and 16​

Answers

Therefore, the arithmetic means are 1, 6, 11

Step-by-step explanation:
-4,_,_,_,16
Solution:
16= -4+(5-1)d
16= -4+4d
16+4= 4d
20=4d
4 4
d=5
-4 1 6 11
+5 +5 +5 +5
1 6 11 16
-4 ,1 ,6 ,11 ,16

Samuel has 52 marbles in a bag. Fourteen are red, 13 are green and 25 are blue. If a marble is chosen at random, what is the probability that it is green?

Answers

.25
you can come to this conclusion by calculating 13/52

Find the difference of (4.2 x 103) - (2.7 x 103) Show work.
-

Answers

Answer:

154.5

Step-by-step explanation:

just inputed the equation in desmos.

Answer: 154.5

Step-by-step explanation:

4.2*103=432.6

2.7*103=278.1

432.6-278.1=154.5

given f (x) = 2x - 10 forwhichvalueofxthat f (x) = -12

Answers

Answer:

=-240..................

Answer:

x = - 1

Step-by-step explanation:

f(x) = 2x - 10 and f(x) = - 12, then equating gives

2x - 10 = - 12 ( add 10 to both sides )

2x = - 2 ( divide both sides by 2 )

x = - 1

A and B are complementary angles. If A = (x – 23)° and m
B = (2x + 29)°, then find the measure of B.

Answers

Answer:

∠ B = 85°

Step-by-step explanation:

Complementary angles sum to 90° , then

x - 23 + 2x + 29 = 90 , that is

3x + 6 = 90 ( subtract 6 from both sides )

3x = 84 ( divide both sides by 3 )

x = 28

Then

∠ B = 2x + 29 = 2(28) + 29 = 56 + 29 = 85°

a desk costs $145. what is the total cost of 23 desks?

Answers

Answer:

145*23=3335$

by multiplying cost by sum of desk

How many groups of are there in 30?​

Answers

Answer:

6

Step-by-step explanation:

divide or multiply by 5 to get 30

Answer:

??????????????????????

Can y’all help me plz.

Answers

Answer:

No. two inputs cannot have the same output

Step-by-step explanation:

This is not a function because -2 and 2 have the same output which is 4

HOPE THIS HELPS :)


The lawn is a circle with radius 3m.
Work out the area of the lawn.

Answers

Answer:

28.27m

Step-by-step explanation:

the formula for area of a circle is

A= π x r^2

A = π x r^2 = π x 3^2 = 28.27433

A horse's mane grows at the rate of 6 over 5 centimeters per month.

How many months will it take the horse's mane to grow 24 over 10 centimeters?

Explain your answer using words, and show your work using division of fractions.

Answers

Answer:

It will take 2 months for the' mane to grow 24/10 centimeters, because 24/10 divided by 6/5 = 24/10 x 5/6 would be 2 months.

Step-by-step explanation:

Hope this helps, have a good day/night :)

It will take 4/2 months or 2 months for the horse's mane to grow 24/10 centimeters.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

A horse's mane grows at the rate of 6 over 5 centimeters per month.

Let x be a number of months.

(6/5)x = 24/10

6x = 12

x = 12/6 = 4/2 or

x = 2 months

Thus, it will take 4/2 months or 2 months for the horse's mane to grow 24/10 centimeters.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

When Zainab started work, her original hourly wage was ‘y’ dollars. Her wage was then doubled, and then increased by $4. If Zainab now gets paid $17 an hour, what was her original hourly wage?

Answers

Answer:

$6.5 dollars

Step-by-step explanation:

We can make an equation to find out the original total.

2y+4=17

(subtract 4 from both sides)

2y=13

(divide by 2)

y=6.5

Hope this helped :D

which graph best represents the solution set of y< -4x?​

Answers

D because the line is not "dotted' and it's on the y intercept and not in the x-axis

6.
Two cars A and B 250 km apart are traveling towards each other on the same road. Car A travels at 55 km/h
while car B travels at 70 km/h.
(a) When will they meet on the road?
(b) Find the distance each car travels before they meet.

Answers

Answer:

At 2 hours they will meet on the road

Car A:  110 km;  Car B:  140 km

Step-by-step explanation:

Since the total distance is 250 km, we know that when the sum of the miles driven by each car adds to 250, they will meet.

Let x be the time, in hours.

              Miles Travelled

Car A             (55km/h)x

Car B             (70 km/h)x

(55km/h)x +  (70 km/h)x = 250

55x + 70x = 250

125x = 250

x = 2 hours  At 2 hours they will meet on the road

              Distance Travelled

Car A             (55km/h)2 =  110 km

Car B             (70 km/h)2 = 140 km

Explain why the square root of a number is defined to be equal to that number to the 1/2 power

Answers

Answer:

Because square root is essentially the same thing as the power to a half

sqrt(x) is the same as (x)^1/2

Graph the solution to this inequality on the number line.
-3x<4.2

-3 -2.5 -2 -1.5 -1 -0.5 0 0.5 1
1.5 2
2.5 3

Answers

[tex]\\ \sf\longmapsto -3x<4.2[/tex]

[tex]\\ \sf\longmapsto x<4.2/-3[/tex]

[tex]\\ \sf\longmapsto x<-1.4[/tex]

Graph attached

The solution to the given set of inequality is -

x > - 1.4.

What is the general equation of a Straight line? What is a linear inequality?

The general equation of a straight line is -

y = mx + c

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

Other possible equations of lines are -

(y - y₁) = m(x - x₁)                                {Point - slope form}

(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁)        {Two point - slope form}

x/a + y/b = 1                                         {intercept form}

x cos(β) + y sin(β) = L                           {Normal form}

A linear equality is of the form -

y ≤ mx + c

y ≥ mx + c

y > mx + c

y < mx + c

We have the given inequality as -

-3x < 4.2

We have the following inequality as -

-3x < 4.2

x > (- 4.2/3)

x > - 1.4

Therefore, the solution to the given set of inequality is -

x > - 1.4.

To solve more questions on straight lines, visit the link below-

brainly.com/question/20400984

#SPJ2

Determine if 0.929229222922229222229... is rational or irrational and give a
reason for your answer.

Answers

An irrational number is a number which cannot be written in the form p/q where p and q are both integers and q is not equal to zero. Here, the above number cannot be written in the form p/q.Secondly, irrational numbers are non-terminating and non-recurring numbers.The above number is an example of non-terminating and non-recurring number.So, it is irrational.

Answer:

It is irrational.

Hope you could get an idea from here.

Doubt clarification - use comment section.

the reataurant started the week with blank quarts the of olive oil

Answers

Answer:

where is the question like background info

Step-by-step explanation:

Please I need help now!!!

Answers

Answer:

An Ojibwe event in which women of all ages run, bike and canoe.

Step-by-step explanation:

How many ink cartridges can you buy with 225 dollars if
one cartridge costs 15 dollars ?

Answers

Answer:

The answer is 15!

Step-by-step explanation:

225 divided by 15 is 15! Hope this helps! :)

Other Questions
A line passes through the points (-2, 9) and (1, 3).Provide work for calculating the slope and y-intercept. Then, write the equation for the line in slope-intercept form. Convert 1 = 4 to polar form. Show that the equation y + 2 = 2(2x + 1) is linear and that it represents a proportional relationship between x and y. three pounds of bananas cost $1.95. Which of the following is not true? In triangle ABC, if angle A + angle B = 5 angle C, find angle C Help help help help help help please please You went to a carnival. Each ride cost $2.50.Let c represent the cost and n represent thenumber of rides. HELP PLZZ!! ill give brainlist pleaseeee help me Which inequality does the graph represent? Which of these men controlled the steel industry?A Cornelius VanderbiltB. John RockefellerO C. Andrew CarnegieGO D.B Benjamin Harrison Describe how total job benefits and total employee compensation differ If you were an astrobiologist, what would you do to search for life? Calculate the average speed of an airplane, in miles per hour, if it travels 1,000 miles in 22 1 2hours. pls someone help me. Read the two passages and answer the question.Passage 1[1]Nothing that comes from the desert expresses its extremes better than the unhappy growth of thetree yuccas.Tormented, thin forests of it stalk drearily in the high mesas, particularly in thattriangular slip that fans out eastward from the meeting of the Sierras and coastwise hills. Theyucca bristles with bayonet-pointed leaves, dull green, growing shaggy with age like an old[5] man's tangled gray beard, tipped with panicles of foul, greenish blooms. After its death, which isslow, the ghostly hollow network of its woody skeleton, with hardly power to rot, makes eventhe moonlight fearful. But it isn't always this way. Before the yucca has come to flower, whileyet its bloom is a luxurious, creamy, cone-shaped bud of the size of a small cabbage, full ofsugary sap, the Indians twist it deftly out of its fence of daggers and roast the prize for their[10] own delectation.Passage 2[1]I wandered lonely as a cloudThat floats on high o'er vales and hills,When all at once I saw a crowd,A host, of golden daffodils;[5]Beside the lake, beneath the trees,Fluttering and dancing in the breeze.Continuous as the stars that shineAnd twinkle on the milky way,They stretched in never-ending line[10]Along the margin of a bay:Ten thousand saw I at a glance,Tossing their heads in sprightly dance.The waves beside them danced; but theyOut-did the sparkling waves in glee:[15]A poet could not but be gay,In such a jocund company:I gazedand gazedbut little thoughtWhat wealth the show to me had brought:For oft, when on my couch I lie[20]In vacant or in pensive mood,They flash upon that inward eyeWhich is the bliss of solitude;And then my heart with pleasure fills,And dances with the daffodils.Both passages describe a plant. The yucca tree "stalks drearily" while the daffodil "dances." What does this word choice reveal about how the two passages view nature? Passage 1 views nature as boring while Passage 2 views natures as exciting. Passage 1 views nature as enlightening while Passage 2 views nature as depressing. Passage 1 views nature as harsh while Passage 2 views nature as delightful. Passage 1 views nature as intense while Passage 2 views nature as relaxing. ______the rain stopped, we ran outside to play Capture the Flag. Do you think this wing is from the left side or the right side of the chickens body? Explain your answer find the slope of the line that passes through (3,1) (4,9) can someone help me rc :)