On a certain hot summers day 284 people use the public swimming pool the daily prices are $1.50 for children and two dollars for adults their seats for admission total of $467 how many children and how many adult swim at the public pool that day

Answers

Answer 1

Answer:

c = 202 children use the pool, and 284 - 202, or 82 adults.

Step-by-step explanation:

Represent the number of children by c and the number of adults by a.

There are a total of 284 people using the pool, so c + a = 284.

Admission fees are $1.50/child and $2.00/adult.  $1.50c is the amount taken in through ticket sales for c children;  $2.00a for adults.

Then total ticket sales are ($1.50/child)c + ($2.00/adult)a = $467.

Going back to c + a = 284, a = 284 - c, and so the above equation becomes

($1.50/child)c + ($2.00/adult)(284 - c) = $467

After simplifying this equation in c, we get:

1.50c + 568 - 2c = 467, or

101 = 0.5c.  Thus, c = 202 children use the pool, and 284 - 202, or 82 adults.


Related Questions

21 students in the class like chocolate ice cream this is 75% of the class

Answers

Answer:

28 studnets in the class

Step-by-step explanation:

Anita typed 390 words in 6 minutes. At the rate, how many words can she type in 10 minutes? Explain

Answers

Answer:

She will type 650 words in 10 minutes

Step-by-step explanation:

390 divided by 6 is 65. Anita types 65 words per min. 65 times 10 is 650. Therefore she will type 650 words in 10 minutes.

Drake will spin the arrow on the spinner twice. What is the probability that the arrow will land on C both times?

Option 1: 1/8
Option 2: 1/2
Option 3: 1/16
Option 4: 1/4

Answers

Answer:

Step-by-step explanation:

Answer:

1/8 chance

Step-by-step explanation:

Marcy is trying to rise $425. She has raised 65% of her goal. How much more money does she have to raise?

Answers

So this is just gonna be a disorganized mess.

So first, we gonna find how much money she earned so far. So we convert the percentage to a decimal, which is 0.65. Now we multiply.

425x0.65=276.25

We now know how much she earned.

Next, we find how much left she has to earn. First, we have to find the percentage she has left to earn. So we subtract 100-65, which is 35. Now we multiply 425x0.35 to find that percentage.

425x0.35=148.75

To double check, we add 276.25 and 148.75 to see if they equal 425.

276.25+148.75=425.

So she needs to earn $148.75 to reach her goal

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hope it helps

Jack and Diane participated in a weight loss program jack lost 6 pounds per Month for seven months Diane lost 4 pounds per month for eight months which integer represents the total weight loss

Answers

Answer:

Step-by-step explanation:

your welcome

express 6 1/3 in simplest radical form

Answers

Answer = 6 /12
HOPE THIS HELPS

Find the value of x. Round to the nearest degree.

Answers

Answer:

if this is a trig problem then x is 44

Step-by-step explanation:

work out the area of 5m and 8m of a shape​

Answers

Answer:

40 sqaure meters

Step-by-step explanation:

You have to mulitply both sides to find area.

5m times 8m equals 40m

A dragonfish is swimming at -900 m relative to sea level. It rises 250 m. What is the dragonfish´s new depth relative to sea level? Show your work.

Answers

Answer:

1150 m

Step-by-step explanation:

Given that,

A dragonfish is swimming at -900 m relative to sea level.

It rises 250 m.

We need to find the dragonfish´s new depth relative to sea level. Let the new position is x. So,

x = 250-(-900)

= 250+900

= 1150 m

Hence, the new position is 1150 m.

You deposit $1600 in a bank account that pays 5% annually how much is in the bank account after 25 years round to the nearest hundredth

Answers

Answer:

5418.17

Step-by-step explanation:

1) 1600(1+.05)^25

2) 1600(1.05)^25

3) 1600(3.3863549408993848167083336666837)

4) 5,418.167905439015706733333866694

The federal minimum wage is $7.25 per hour. If you work full time (40 hours per week) for 50 week per year. What is the rent range that you can afford?
show your work.​

Answers

You multiple 7.25 by 40 and you get 250.00

18 less than the quotient of a number and -5 is at most -2

Answers

Answer:

-4

Step-by-step explanation:

tik r1cothepenguin

GIVING BRAINLEST A $22 item has been marked up 15%. What is the new price?

Answers

Answer:

$22 * .15 = $3.30 + $22 = $25.30

Step-by-step explanation:

Answer:

i think the new price would be $18.70

Step-by-step explanation:

Natalie buys organic almonds priced at $77 from the grocery store. How much did she pay the cashier if she received $23 in change?

Answers

She paid $100 because she bought the almonds for $77 then she received $23 back (100-77=23) (77+23=100)

Ms. Placencio weighed 153 pounds in 2018. Ms. Placencio now weighs 132 pounds. What is the percent change? Round to the nearest tenths place.

Answers

Answer:

13.73°

Step-by-step explanation:

For this question, you can set it up so you can cross multiply.

[tex]\frac{153}{100}[/tex]°×[tex]\frac{132}{?}[/tex]

To find the ? (the percent of change), simply multiply 100 and 132, then divide the result by 153.

You get around 86.27 when rounded to the nearest tenths.

However, this percent represents 132 within 153, so find the percent of change, simply subtract 86.27 from 100.

100-86.27= 13.73

The machine can make soda bottles each
minute.
The graph shows the relationship between time
and the number of soda bottles a machine can
make. Use the points (3,120) and (5,200) to find
the number of soda bottles the machine can make
each minute.
Number of Soda Bottles Made
400-
a
320
240
3
160
80
0
10
Time (minutes)

Answers

Answer:

The number of soda battles the machine can make per minute is 40

Step-by-step explanation:

What we simply want to do here is to use the two marked points to get the number of soda bottles made per minute

Mathematically, what we have to do here is to

use the two point slope equation

we have this as;

m = (y2-y1)/(x2-x1)

(x1,y1) = (3,120

(x2,y2) = (5,200)

m = (200-120)/(5-3) = 80/2 = 40

Answer:

the person above is correct

Step-by-step explanation:

Whats the answer for the whole problem please help i give brainliest.

Answers

Answer:

The equation for this is G= -3/2x + 12

and the interpretation of the context, I may get this wrong, is the Y-intercept is  the number of gallons used per mile

Step-by-step explanation:

to find out the slope, you get the point from the y-intercept (0, 12) and you see how much you go down for the first number, then you see how much you go right for the second number until you reach the next point in which case it's (2, 9), which will give you 3 for the first number and 2 for the second number.

Then you place the first number above the second number and put a negative sign in front of the whole thing if the line is going down. So the number would be 3/2 and the line is going down, so the answer would be -3/2

to find the y-intercept, you just look at where the point starts on the y-intercept, which is at 12. So the y-intercept is 12.

If you know the answer help please!

Answers

Mmmh I think is b not sure tho
hmmmmmm maybe a or b

please read the question in picture nd help me ​

Answers

Answer:

1) We know that e is an irrational number, so we usually can find it by computational methods.

[tex]e = \lim_{n \to \infty} (1 + \frac{1}{n})^n[/tex]

and we know that e accurate to 10 decimal points is:

e = 2.7182818285

2) Now we want to write the properties of the exponential and logarithmic functions.

We will write first the exponential property, and then the correspondent one for the logarithmic function.

(e^a)*(e^b) = e^(a + b)

The equivalent Ln property is:

Ln(a) + Ln(b) = Ln(a*b)

(e^a)/(e^b) = e^(a - b)

The eqivalent Ln property is:

Ln(a) - Ln(b) = Ln(a/b)

(e^a)^b = e^(a*b)

The equivalent Ln property is:

Ln(a^b) = b*Ln(a)

Kevin went to a store that offers a 20% discount. He bought a jacket and saved $11.20 after using the coupon. What is the original price of the jacket?

Answers

Answer: $56

Step-by-step explanation:

Let the original price of the jacket be x.

Since Kevin went to a store that offers a 20% discount and bought a jacket and saved $11.20 after using the coupon.

The original price of the jacket goes thus:

20% × x = $11.20

0.2 × x = 11.20

0.2x = 11.20

x = 11.20 / 0.2

x = 56

The original price of the jacket will then be $56

Write an inequality for the sentence: A number b is greater than 7

Answers

Answer:

B > 7

Step-by-step explanation:

Is your inequality

Im gonna have to know what b stands for

The perimeter of a rhombus is 60. If the length of its
longer diagonal measures 24, the length of the shorter
diagonal is

Answers

Answer:

This is your answer ☺️☺️☺️

Un barril de petróleo equivale a 159 litros entonces si un pozo de petróleo produce 374 barriles por minuto. ¿Cuántos litros son? * 10 puntos A) 2.35 B) 4.80 C) 59 466 D) 128 345

Answers

Answer:

374 barriles equivalen a 59466 litros de petróleo.

Step-by-step explanation:

La regla de tres simple es una forma de resolver problemas de proporcionalidad entre tres valores conocidos y un valor desconocido, estableciendo una relación de proporcionalidad entre todos ellos. Es decir, lo que se pretende es encontrar el cuarto término de una proporción conociendo los otros tres. Recuerde que la proporcionalidad es una relación o razón constante entre diferentes magnitudes.

Si la relación entre las magnitudes es directa, es decir, cuando una magnitud aumenta, también lo hace la otra (o cuando una magnitud disminuye, también lo hace la otra), se debe aplicar la regla directa de tres. Para resolver una regla directa de tres, se debe aplicar:

a ⇒ b

c ⇒ x

donde a, b y c son valores conocidos, mientras x es el valor que se desea conocer. Entonces: [tex]x=\frac{c*b}{a}[/tex]

En este caso, la regla de tres se aplica de la siguiente manera: si 1 barril de petróleo equivale a 159 litros, 374 barriles a cuántos litros equivale?

1 barril ⇒ 159 litros

374 barriles ⇒ x litros

[tex]cantidad de litros =\frac{374 barriles*159 litros}{1 barril}[/tex]

cantidad de litros= 59466 litros

374 barriles equivalen a 59466 litros de petróleo.

18. Mr. Summerall purchased one bag of dry
cat food and 24 cans of wet cat food. The
bag was $12.80 and the total purchase was $22.40. How much was each can of cat food?

Answers

Answer: 0.40

Step-by-step explanation: JUST HURRY AND PUT IT IN BEFORE ITS TOO LATE BESTIE

Which is an irrational number between -9 and -10?

Answers

The link: https://socratic.org/questions/what-are-three-irrational-number-between-11-and-12#619738

Find the area of the shape below

Answers

Answer:

(18×18)+{1/2×(9+18)×18}

324+243

567inch^2

Plz help fast will mark the brainiest!!!

Answers

Answer:

627,638,540

Step-by-step explanation:

[tex]answer \: is \: \: 6 \times {10}^{8} [/tex]

hope it helps you ❣❣

Mark me as brainliest

Find the area of a semicircle with a diameter equal to 8 meters (use
pi=3.14):*
d=8 m
D

Answers

Answer:

you do 8/2 which is 4, so that is ur radius

you do 3.14*4*4=50.24

there is ur answer!

Step-by-step explanation:

question in image will give brain list

Answers

The sides are congruent

Answer:

Step-by-step explanation:

2 pairs of parallel sides

Diagonals bisect eachother

HELP PLZ!!!!!!

Bruce's school is due west of his house and due south of his friend Avery's house. The
distance between the school and Avery's house is 6 miles and the straight-line distance
between Bruce's house and Avery's house is 7 miles. How far is Bruce's house from school? If
necessary, round to the nearest tenth.

Answers

Answer:

3.6 miles

Step-by-step explanation:

The three points form a right triangle. The hypotenuse is the distance from Bruce and Avery's house, and the first leg is the distance from Avery's house to the school. Using the Pythagorean Theorem's converse, sqrt(7^2-6^2), and rounding it to the nearest tenth, we get 3.6 miles.

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