On a certain hot summers day, 672 people used the public swimming pool. The daily prices are $1.50 for children and 2.50 for adults. The receipts for admission totaled $1289.00. How many children and how many adults swam at the public pool that day?

Answers

Answer 1
Adults = 281
Children = 391

We have two equations: number of people and money. I’ll use a for adults, c for children.

a + c = 672
2.5a + 1.5c = 1289

First we’ll solve for number of adults in terms of c
a = 672-c

Then drop that expression into the second equation to solve for a numerical value for c

2.5(672-c) + 1.5c = 1289
1680 - 2.5c + 1.5c = 1289
-c = -391
c = 391

Now put that into the first equation to get a numerical value for a

a + 391 = 672
a = 281

Checking the math:
2.5(281) + 1.5(391)
= 702.5 + 586.5
= $1289

Related Questions

Select the three correct ways to describe an angle with a measure of 9​

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Answer:

uhh you forgot the picture

In the diagram, which angle is an alternate exterior angle with angle 4?

Answers

6 is alternate exterior angle with angle 4

Answer:

6

Step-by-step explanation:

what is 33493.33333 rounded to the nearest tenth?​

Answers

Answer:

33493.33

Step-by-step explanation:

can someone help. im really confused

Answers

Answer: I think it’s 32

Explanation: on the top there is 3 and 12 and if you multiply 3x4 you get 12 so on the bottom I did 8x4 and got 32. Sorry if it’s wrong I’m not good in math <3

A statistical question anticipates that answers will vary. Which of these are examples of statistical questions?A)What did Sally eat for lunch today?B)How many brothers does Andrew have?C)How many eucalyptus leaves does a koala eat each day?D)How many minutes does each student spend texting each day?E)How many math classes are taught by Mr. Martin this semester? ! Mulitiple choice

Answers

Answer:

c and d

Step-by-step explanation:

A statistical question is a question that can be answered by collecting data that vary. For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question.

Find the unknow measures of y and x.​

Answers

9514 1404 393

Answer:

  x = 2 m

  y = 30°

Step-by-step explanation:

The side lengths of ΔDEF are 3/9 = 1/3 of those of ΔABC.

  x = DF = 1/3(AB) = (1/3)(6 m)

  x = 2 m

__

Angle measures of ΔDEF are the same as those of the corresponding angles of ΔABC.

  y = ∠B = ∠E = 30°

  y = 30°

What is the volume of the triangular prism in cubic centimeters?

A- 1,360 cm (3)

B- 408 cm (3)

C- 1, 632 cm (3)

D- 816 cm (3)

Answers

Answer:

b because it just is

Step-by-step explanation:

How would I solve this? ​

Answers

9514 1404 393

Answer:

  $2450

Step-by-step explanation:

Understand the function gives you the profit when x is the number of meals. You are asked for the profit for 50 meals. You solve it by evaluating the function with x=50.

  P = -2(50²) +152(50) -150

  P = -5000 +7600 -150

  P = 2450

Amelia will make $2450 in profit when she caters 50 meals.

Mr. Fernandez uses 7 boards that are 4 feet long and 6 inches wide to make on bookshelf. If he buys lumber in lengths of 8 feet with a width of 12 inches, how many pieces of lumber does he need to purchase to make 5 bookshelves?

Answers

Bookshelf =7boards each
Lumber=4 boards each
He wants to make 5 bookshelves total
5x7=35
So he needs 35 boards
And each lumber makes 4 boards
So what number times 4 is equal to or more than 35?

9times 4 is 36

So he needs 9 pieces of lumber to make 5 bookshelves.

Good luck with your work! Brainliest would be appreciated :)

Urgent please help..

Answers

Answer:

147cm2

Step-by-step explanation:

area of a circle=πr2

=3*7*7

=147cm2

Write 543 000 in standard form.

Answers

Kwjwhh22u na pewno to pewno jest to dla mnie nich jest to bardzo dla dzieci nas nie na temat i

One solution of the quadratic equation X2 – 19x + 48 = 0 is 3. What is the other solution?
Your answer:

Answers

Answer:

16

Step-by-step explanation:

The equation is X2 – 19x + 48 = 0

Using the quadratic formula

X= - b +- √ ( b^2 - 4ac)/ 2a

Where a= 1 b= -19 c= 48

Substitute into the formula we have

CHECK THE ATTACHMENT

HENCE, the solution are 3 and 16

please answer this question

PLEASEEEEE HELP MEH
I'm preparing for a math exam please help mehhhh

Answers

Answer:

top left x=70⁰

top right is 69⁰

bottom left is 125⁰

bottom right is 130⁰

Step-by-step explanation:

comment for explanation

Find the scale factor.

Answers

Answer:

the scale factor is times 0.5

Explanation:

20 plus 10 is 30. Half of 20 is 10 so that is 0.5

It is also like that for the others

Which value of x is NOT a solution to the inequality - 19x + 3 < 22?
A) 5
B)0
C)-1
D)-2

Answers

Answer:

A

Step-by-step explanation:

[tex]19x + 3 < 22 \\ 19x < 19 \\ x < 1[/tex]

Can you help me please I can't get it

Answers

Answer:

-2x - 6 = 2 - 4x - (x - 1)

-2x - 6 = 2 - 4x - x + 1

-2x - 6 = 3 - 5x

3x = 9

That is the furthest it can be simplified without solving it.

Answer is x=3 if needed.

Please brainliest if this helped.

Determine the value of m∠DCB.

Answers

Answer:

Angle DCB is Equal to 78

Step-by-step explanation:

4x+2 + 3x+3 =180

7x +5=180

7x=175

x=25.

Then put the x in the 3x+3

3(25) +3 = 78

so  DCB = 78

the answer to this equation would be 78

ITS URGENTT!!! SOMEONE PLEASE HELP-

Answers

Answer:

ITS B

Step-by-step explanation:

he ended up in his original spot

mark me brainliest please?

Ben has 6 children. He gives each child 2 - pies. How many pies does he neer).

Answers

Answer:

12 pies

Step-by-step explanation:

No. of children = 6

No. of pies given to each child = 2

Total no. of pies needed by Ben;

6 x 2 = 12

[tex] \huge \underline \pink {answer}[/tex]

number of children Ben has = 6

number of pies given to each child = 2

number of pies Ben need = 6×2 = 12

hence Ben needs 12 pies..

can someone answer this one for me?

Answers

Answer:

it would be 540 degrease i just took the qiuz in first pd. an got it right lol

Step-by-step explanation:

How can you check that k ≥ 11 is the solution set to the inequality k + 14 ≥ 25?

Answers

Answer:

K= 11

Step-by-step explanation:

You solve for K by subtracting 14 by 25.

25-14= 11

When k is pluged into k[tex]\geq[/tex] 11 the statement is true because it is equal to 11.

When plugged into k+14[tex]\geq[/tex]25;

11+14 =25.

That statement is also true because 25 is equel to 25.

how many teaspoons make up 40ml

Answers

Answer:

Convert 40 Milliliters to Teaspoons

mL tsp

tsp40.01 8.1174

8.117440.02 8.1194

8.117440.02 8.119440.03 8.1215

8.117440.02 8.119440.03 8.121540.04 8.1235

Answer

it depends on the size of the spoon

but normally it is 5 ml = 1 tea spoon

so it will be 8 tea spoon ok

hope it helps you

please mark me as brainlist

I need help with this!!

Answers

Answer:

2g+7

Step-by-step explanation:

g represents gails age

2 times gails age

2g

7 more than is addition

2g+7

Linda sells handmade jewelry. She sells bracelets for $27.00, and the sales tax is 6.5% of the sale price. About how much is the sales tax on the bracelet?

Answers

Answer:

The tax is about $1.76

- what I got from this is that $27 already includes the tax so you need to figure out how much sales tax is on the bracelet.

Angle X and angle Y are supplementary If angle X measures 142
degrees, what is the measure of angle Y?
-thank u sm if u answer

Answers

Angle y equals 38° because supplementary angles add up to 180° or a straight line.

Caleb bought groceries and paid $1.60 in sales tax. The sales tax rate is 2.5%
What was the price of Caleb's groceries, before tax?

Answers

answer: the price was $64.

I need help with math if you don't know the answer get out of the question and don't answer it and give the wrong answer or some link or even say "I don't know" or anything like that it's not fair to me cause it a waste of my points and time I will report your if you do that :) have a nice day and stay safe. PEOPLE WORK HARD FOR THERE POINTS IF YOU DON'T KNOW

Answers

Answer:

Step-by-step explanation:

Frequency table for the height of the seedlings,

Height (in inches)        Number of seedlings

          [tex]\frac{1}{2}[/tex]                                      2              

          [tex]\frac{3}{4}[/tex]                                      4

          [tex]\frac{5}{8}[/tex]                                      2

          [tex]\frac{7}{8}[/tex]                                      2

Now we can draw the line plot as attached.

Average height of the seedlings = [tex]\frac{2(\frac{1}{2})+4(\frac{3}{4})+2(\frac{5}{8})+2(\frac{7}{8})}{2+4+2+2}[/tex]

                                                      = [tex]\frac{1+3+1.25+1.75}{10}[/tex]

                                                      = [tex]\frac{7}{10}[/tex]

A paper company needs to ship paper to a large printing business. The paper will be
shipped in small boxes and large boxes. Each small box of paper weighs 35 pounds
and each large box of paper weighs 65 pounds. What would be the total weight, in
pounds, of 10 small boxes and 15 large boxes? What would be the total weight, in
pounds, of s small boxes and I large boxes?

Answers

Answer:

1. What would be the total weight, in pounds, of 10 small boxes and 15 large boxes?

What you do is 10 * 35 + 15 * 65 = 350 + 975 = 1325 pounds

2. What would be the total weight, in pounds, of s small boxes and I large boxes?

35s + 65l would be the total weight

the one-to-one functions g and h are defined as followg={(-2, -6), (3, -3), (6, -9), (9, 6)} h(x) = 2x-3

Answers

Answer: H (x ) = x ^2 − 3 x + C

its for h(x)=2x-3

Step-by-step explanation:

Find (fxg)(-3)? Thanks :)

Answers

Answer:

3dfg

Step-by-step explanation:

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