On a certain hot summer day, 673 people used the public swimming pool. The daily prices are 1.75 for children and 2.00 for adults.The receipts for admission totaled to $1249.50. How many children and how many adults swam at the public pool that day?

Answers

Answer 1

Answer:

120 children and 388 adults bought tickets for the swimming pool

Explanation:

Create two simultanous equations:

Let c stand for the number of children that bought a ticket, and a stand for the number of adults that bought a ticket, you get your first equation, being

c

+

a

=

508

then, you now create a second equation for the prices of the tickets.

(price of childrens tickets)(number of children that swam)+(price of adults tickets)(number of adults that swam) = total money collected

so:

1.75

c

+

2.25

a

=

1083.00

now we still know, that

a

=

508

c

so we can substitute it into the second formula

1.75

c

+

2.25

(

508

c

)

=

1083

now its just simple algebra

1.75

c

+

1143

2.25

c

=

1083

60

=

0.5

c

so:

c

=

120

now we know, that 120 children went to the swimming pool.

and we still have the formula from before:

a

=

508

c

so

a

=

388


Related Questions

Find Measures in Intersecting Circles
The diameters of D, B, and A are 4 inches,
9 inches, and 18 inches, respectively. Find AC.
A. 3 in.
B. 5 in.
C. 7 in.
D. 9 in.

Answers

A bybybybybybynybybybybyvtvtvttvtvvtvttvtvtvvtvt
7 in. Because if the diameter of D is 4 then the radius is of circle D is 2 then at then you subtract that from the 9 inches (from line A to D) and you get 7 inches (from A to C)

Lauren got 321$ for her birthday. She wants to put 20% in her savings account. How much will she have left over to buy new clothes?

Answers

Answer:

$256.80

Step-by-step explanation

Change the 20% to a decimal, .20, the multiply it by the total amount of $$$, 321, and you get $64.20. Subtract that by the total amount to get the amount left over for her to get new clothes.

Hope it helps!! :))))

3
A few friends went bowling. The scores
are given below. Use the scores to
calculate the range of the data. *
(1 Point)
104, 117, 104, 136, 189, 109, 113, 104

Answers

Answer:

The range here is 85

Step-by-step explanation:

Here, we want to calculate the range of the data

Mathematically, the range is defined as the difference between the lowest value and the highest value in the dataset

From the given data points, the highest value is 189, while the lowest value is 104

So the range is the difference between the two which is;

189-104 = 85

Use the table to write a quadratic function in vertex form. Then rewrite the function in standard form.

Answers

Answer:

Step-by-step explanation:

The graph decreases at first, then changes direction at (2, 5).

y = a(x-2)^2 + 5

Plug in (1,11) and solve for a:

11 = a(1-2)^2 + 5

a = 6

Equation in vertex form:

y = 6(x-2)^2 + 5

help please!
First three terms of a sequence is shown below. Determine if the sequence is geometric. If so, state the common ratio.

30, 10, 103, ...

a.The sequence is geometric, and the common ratio is 13.


b.The sequence is geometric, and the common ratio is 3.


c.The sequence is geometric, and the common ratio is -20.


d.The sequence is not geometric.

Answers

Answer:

Step-by-step explanation:

The common ratio is a constant found by dividing any term by the previous term.

10/30=1/3

103/10=10.3

Since those fractions are not equal this is NOT a geometric sequence.

There are 3.5 cookies. How can the cookies be divided into .25 pieces?

a. 4 pieces
b. 140 pieces
c. 3.5 pieces
d. 14 pieces

Answers

Answer:

d. 14 pieces

Step-by-step explanation:

3.5 ÷ 25 = 0.14 = 14

cuz the 0. doesn't have a value

The answer is D. 14 pieces.

Just say yes if equivalent or no if not equivalent

5x and x + 5

Answers

Answer:

I am pretty sure there equivalent

9 slices from 1 cake =
slices from 2 cakes

Answers

Answer:

18?

Step-by-step explanation:

Well uh since it's 2 cakes wouldn't you multiply 9 by 2?

I mean I tried given the little information in the question so

Correct me if I’m wrong I think it’s 18

A container contains 3 yellow, 2 orange, and 4 pink roses. Without looking, if James chooses a rose from the container, what is the probability that James will select an orange rose?

Answers

Answer:

Orange rose = 2/9

Step-by-step explanation:

In order to find probability of picking one item, you add all the possible things you could choose. So, 3+2+4 equals a total of 9 outcomes, and that would be your denominator for your fraction of probability. From there it's really easy. Just put the amount of things your trying to find the probability for in the numerator spot.

Ex.

There are 9 total roses so that would be the denominator (?/9)

To find out the probability for picking an orange rose, you'd put the 2 in as the numerator because that is the total number of orange roses you have (2/?)

Then just put the two together (2/9).

Reading the sentence below what keyword tells you that this is proportional. Please help I’m stuck!!

Answers

Answer:

Steady

Step-by-step explanation:

I understand how you can get confused on this but steady is your keyword because steady means at a proportional rate and has not drastic changes if graphed on a number line.

What is
h(x) = 1/(x-5)3

Answers

Answer:

lim_( 3\/(-5 + x) = 0

Step-by-step explanation:

h(x) = 1\/(x - 5)×3

{x element R : x!=5}

{h element R : h!=0}

d\/dx(3\/(x - 5)) = -3\/(x - 5)^2

integral 3\/(x - 5) dx = 3 log(x - 5) +

Which value of x from the set { 8 , 11 , 61 , 67 } makes the equation ( x − 3 )² = 64 true?

8
11
61
or 67

Answers

Answer:

I

Step-by-step explanation:

this its 61 ok thanks you

Help plsssss.
Will mark brainlest

Answers

Step-by-step explanation:

y = mx + c

m before x = slope

C. y = 3x - 1

slope = 3

select C

Answer:

c) y=3x-1

Step-by-step explanation:

y=mx+b

Henry walked 3 miles and Sasha walked 12 miles.
Sasha says she walked 9 more miles than Henry.
Henry says that Sasha walked 3 times as many miles as he walked. Who is correct?

Answers

Sasha because Sasha didn’t run 9 miles

Steve is playing a carnival game. He wants to win a prize, but he thinks he has about a 20% chance of winning. He uses the expression 0.2t to calculate the number of games he will need to play in order to win a prize.

If he plays the game 12 times, about how many times can he expect to win?

Answers

Answer:50%

Step-by-step explanation:

Steve's expected times of winning in 12 trials is about 2 times.

What is probability?

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

The winning chance of Steve is 20% or 0.2.

We know, We know The expected value, also known as the expectation, average, is a generalization of the weighted average in the field of probability theory.

Informally, the anticipated value is the arithmetic mean of a significant number of outcomes of a random variable that were independently chosen.

Therefore, If he plays the game 12 times the number of times he is expected to win is,

= 12×0.2.

= 2.4 Or 2 times.

learn more about probability here :

https://brainly.com/question/743546

#SPJ2

Which are solutions of the equation (x+5)(x-3)=0

Answers

Answer:-5 and 3

Step-by-step explanation:-5 +5 is 0 and 0 times any number is 0 also 3-3 is 0 and 0 times any number is 0

The Points in the table lie on a line. Find the slope of the line.
The slope is —-???

Plz I need help

Answers

Answer:

The slope is 2/5

Step-by-step explanation:

1.) Do (y1-y2)/(x1-x2)

(4-2)-(7-2) which is 2/5

2.) 2/5 is the slope

A fountain holds 12500 7/8 gallons of water. Joe wants to calculate how many liters that is. Which proportion could he use to solve for the number of liters? (1 gal = 3.79 L)​

Answers

Answer:

47378.31625 Liters

Step-by-step explanation:

A fountain holds 12500 7/8 gallons of water. Joe wants to calculate how many liters that is. Which proportion could he use to solve for the number of liters? (1 gal = 3.79 L)

From the above question,

1 gallon = 3.79 Liters

12500 7/8 gallons = x Liters

Cross Multiply

x Liters = 12500 7/8 × 3.79 Liters

x = 47378.31625 Liters

Therefore, the number of liters of water in the fountain is 47378.31625 Liters

Tonya pays $300 each month to rent an office where she earns $25 per hour tutoring students. Which equation represents Tonya’s profit, y, for working
x hours?

Answers

Answer:

y = 25x – 300

Step-by-step explanation:hope I helped

Pls help I’ve tried everything and nothing is helping me lol. 25 points

Answers

Answer: Is this the whole question if not i can edit later and answer once i get it all?

Find the measure of the given angles. Show work!!

Answers

Answer:

m∠A = 45⁰

m∠B = 75⁰

Step-by-step explanation:

Given question 4;

m∠A = x + 51

m∠B = 81 + x

m∠C = 60⁰

The value of the missing angles can be determined by the finding the value of x first;

m∠A  +  m∠B  + m∠C = 180⁰ (sum of angles in a triangle)

(x + 51)  +  (81 + x)  +  60⁰ = 180

(x + x) + (51 + 81 + 60) = 180

2x + 192 = 180

2x = 180 - 192

2x = -12

x = -12/2

x = -6

Thus, the values of the angles are calculated as follows;

m∠A = x + 51

         = -6 + 51  

          = 45⁰

m∠B = 81 + x

        = 81 - 6

         = 75⁰

Which of these represents an integer?
a. -3 b. 4 c. 2 1/2 d. 6.2

Answers

B is the answer!!!!!!!!!!!!!!!!!!!!!!!!!

Simplify the like terms
3w - 2h + -5w+6h

Answers

simplified answer:

4h-2w

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{3w - 2h + -5w + 6h}[/tex]

[tex]\large\text{COMBINE the LIKE TERMS}[/tex]

[tex]\large\text{(3w + (-5w)) + (-2h + 6h)}[/tex]

[tex]\large\text{(-2h + 6h) = 4h}[/tex]

[tex]\large\text{(3w - 5w) = -2w}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \bf4h - 2w}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

PLEASE HELP!!! 100 points!!!

Suppose that baby grand piano cost $8000 and looses 15%
in value each year. What would be the value of the piano in
12 years? Round your answer to the nearest hundred.
A.) $1137.93
B.) $1274.88
C.) $1078.44
D.) $5780.00

Answers

Answer:

A

Step-by-step explanation:

If it loses 15% of its value every year, then each subsequent year will be worth 85% of the previous year. If we think of this as a geometric series, then the worth would be 8000(.85^t) where t is years after the first year. If you plug in 12, then it's 1137.93.

Answer:

1137.93 is the answer

Step-by-step explanation:

Which expression is equivalent to
n-4n- 3(2n + 1)?

A. -9n + 3
B. -9n + 1
C. -9n-3
D. -6n-3

Need the answers fast plzzzz

Answers

C. -9n-3

Steps:

1. distribute the -3: -3(2n+1) = -6n-3
2. combine like terms: n - 4n -6n= -9n
3. write your final answer: -9n-3

A tv costs $215 and has a 30% increase. What is the amount of increase? Show your work

i well try to give brainlist for first to answer correctly

Answers

Answer:

The price increased by 64.5, which makes a total of 279.5

Step-by-step explanation:

215*0.30 = 64.5

215 + 64.5 = 279.5

0.30 = 30% of 100

When you multiply by 0.30 you get 30%, or with any decimals, like multiply by 0.50 to get 50% of something, etc.

I’m trying to figure out #’s 31 and 32. I don’t need the answers I just need guidance on how to figure them out.

Answers

Answer:

open circle means less than OR greater to

closed circle means less than or equal to OR greater than or equal to

HELP PLZ PLZ PLZ PLZ

IT IS A PIC

Answers

Answer:

A

Step-by-step explanation:

just count lol

it's 14 cubic units.

Write an equation of the line in slope intercept form and with the following characteristics. Slope = 1/8 y intercept =14

Answers

Y=1/8x+14
Just plug it in into y=Mx+b form (m is slope, b is y- intercept)

Mohamed wants to buy a television that costs $800, including taxes. To pay for the television, he will use a payment plan that requires him to make a down payment of $200, and then pay $65 each month for 10 months. What is the percent increase from the original cost of the television to the cost of the television using the payment plan?

Answers

Answer:

6.25%

Step-by-step explanation:

I'm simply returning the favor.

If the down payment is $200, then we can subtract:

$800 - $200 = $600

Then we can find the "rent" times ten, then subtract it from the $600 left to pay.

$65*10 = $650

Now here is the hard part. We know that 600 < 650. So we need to subtract 650 from 600.

$650 - $600 = $50

Now we need to find how much more Mohamed paid than the original price.

$850 is _____% more than $800.

$850 is 106.25% more than $800.

Subtract 100% to get the difference.

6.25% is your answer.

Hope this helps. Have a nice day.

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