On a certain hot​ summer's day, 183
people used the public swimming pool. The daily prices are $1.75
for children and $2.50
for adults. The receipts for admission totaled $390.00.
How many children and how many adults swam at the public pool that​ day?

Answers

Answer 1

Using substitution method to solve the system of linear equation, the number of children is 90 and adults is 93.

What is System of Linear Equation

In mathematics, a system of linear equations is the collection of two or more linear equations that share the same variables. The maximum power of the variable in the linear equations in this situation is 1, making them first-order equations. A linear equation may have one, two, or three variables. We can therefore create linear equations with n variables.

To solve this problem, we have to define our variables and then write the equations.

Let;

x = childreny = adult

x + y = 183 ...eq(i)

1.75x + 2.5y = 390 ...eq(ii)

solving both equations

From equation (i)

x + y = 183

x = 183 - y ...eq(iii)

Put equation (iii) into equation (ii)

1.75(183 - y) + 2.5y = 390

y = 93

Put y = 93 into equation (i)

x + 93 = 183

x = 90

The number of child is 90 and adult is 93

Learn more on system of linear equation here;

https://brainly.com/question/13729904

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Related Questions

how many solutions does 3-2x=5-x+3​

Answers

Answer:

x-2x=5+3-3

-x=5

x=-5

Step-by-step explanation:

That's the answer

3-2x = 5-x+3

First: Cancel 3 on both side

-2x =5-x

second: Add x to both side

-2x + x = 5-x + x

3rd: simplify -2x+x to -x

-x = 5

4rth: Multiply both side by -1

x = -5

there is one solution

Complete each statement then state the property or properties illustrated by each statement on

Answers

Answer:

(8n)(-77)=-77(n*8)

We move all terms to the left:

(8n)(-77)-(-77(n*8))=0

We add all the numbers together, and all the variables

8n(-77)-(-77(+n*8))=0

We multiply parentheses

-616n-(-77(+n*8))=0

We calculate terms in parentheses: -(-77(+n*8)), so:

-77(+n*8)

We multiply parentheses

-616n

Back to the equation:

-(-616n)

We get rid of parentheses

-616n+616n=0

We add all the numbers together, and all the variables

=0

n=0/1

n=0

the property is Associative Property

Step-by-step explanation:

this one was kinda hard pls let me know it its right or not

please i need to check this and to see the answers

Answers

Answer:

why is your homework harder than mine AP homework- i cant-

Step-by-step explanation:

Answer:

They look decent and good, that might do it!

Find the degree measure of each angle in the triangle.

Answers

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10. Alice Nako's monthly credit card statement has a previous balance of
$307.85. It shows Alice's $40.00 payment. This month's new purchases
were $9.50 and $41.75. The account posted a $23.75 credit, and the
finance charge is $4.62.
what is the new balance ?!

Answers

307.85
-40
-9.50
-41.75
+23.75
-4.62
=235.73$

I really need help please answer would help a lot

Answers

Answer:

z=13

Step-by-step explanation:

The sum of the two angles is 90 degrees

2z+5   + 5z-6  = 90

Combine like terms

7z-1 = 90

Add 1 to each side

7z-1+1 = 90+1

7z = 91

Divide each side by 7

7z/7 = 91/7

z =13

Answer:

5

Step-by-step explanation:

i had my teacher help me with I am on a one on one zoom

If $9450 is invested at a rate of 12.5%,
compounded continuously, how much will it
be worth in 20 years?

Answers

Answer:

The final balance is $113,645.52.

The total compound interest is $104,195.52.

Step-by-step explanation:

Benito runs 1/10 of a mile each day. which shows how to find the number of days it will take for benito to run 3/5 of a mile

Answers

I would say  divide 3/5 by 1/10

Please help me !!!!!!!!!

Answers

Answer:

f(-2) = 0

f(1) = 12

f(2) = 5

Step-by-step explanation:

f(-2) will lie in the function [tex] f(x) =x^2 - 4[/tex]

[tex]\therefore f( - 2) = {( - 2)}^{2} - 4 = 4 - 4 = 0 [/tex]

f(1) will lie in the function [tex] f(x) =2x^2 +10[/tex]

[tex]\therefore f(1) = 2 {(1)}^{2} + 10 = 2 + 10 = 12 [/tex]

f(2) will lie in the function [tex] f(x) =5[/tex]

[tex]\therefore f(2) = 5[/tex]

Write the complete factorization of 22xy^2

Answers

Answer:

2 * 11 * x * y * y

Step-by-step explanation:

The numerical part is 22, whose prime factor form is: 2 * 11

Then the complete factorization of 22 x y^2 is:

2 * 11 * x * y * y

The complete factorization of [tex]22xy^2[/tex] is [tex]2 \times 11 \timesx \times y \times y[/tex]

Given that,

The equation is [tex]22xy^2[/tex]

Based on the above information, the calculation is as follows:

Here the numerical part should be 22 whose prime factor should be 2 and 11.

Now  the complete factor should be [tex]2 \times 11 \timesx \times y \times y[/tex]

Learn more: brainly.com/question/16911495

17
There are 510 calories in 100 g of Twix.
There are 45 calories in 100 g of Coca Cola.
Lionel has 60 g of Twix and 140 g of Coca Cola for a morning snack
Work out the total number of calories in this morning snack.

Answers

Answer:

Amount of calories in 60g of Twix and 140g of Coca cola = 1020 calories

Step-by-step explanation:

Given:

Amount of calories in 100 g of Twix = 510 calories

Amount of calories in 100 g of Coca cola = 45 calories

Find:

Amount of calories in 60g of Twix and 140g of Coca cola

Computation:

Amount of calories in 60g of Twix = 60[510/100]

Amount of calories in 60g of Twix = 306 calories

Amount of calories in 140g of Coca cola = 140[510/100]

Amount of calories in 140g of Coca cola = 714 calories

Amount of calories in 60g of Twix and 140g of Coca cola = 306 + 714

Amount of calories in 60g of Twix and 140g of Coca cola = 1020 calories

6 grade math pls help and do step by step

Answers

Jay didnt follow the BEDMAS rule, he should have started withe the division because it has the priority based on the BEDMAS rule.

What is the AREA of the given circle?
62.83 in²
157.08in²
314.16 in²
628.32 in²

Answers

Answer:

314.16 in²

Step-by-step explanation:

Answer:

[tex]A[/tex] ≈ [tex]314.16[/tex]

Step-by-step explanation:

[tex]A=\pi r^2[/tex]

[tex]A = \pi (10)^2[/tex]

[tex]A = \pi (100)[/tex]

[tex]A[/tex] ≈ [tex]314.16[/tex]

A. 2 sqrt 3

B. 4

C. 8

D. 4 sqrt 6

E. 12

Answers

Ce clasă ești sa văd daca te pot ajuta

Which of these triangle pairs can be mapped to each other using a translation and a rotation about point A?​

Answers

Answer:

Step-by-step explanation:

p

Step-by-step explanation:


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

y= 4x + 1 ???

Step-by-step explanation:

I don't know this.. I haven't gotten to this yet so this is just a guess.. Im sorry if its wrong

I think it is y= 1x+74 (I put it in stat then went to 4 which is LinReg)

Given the perimeter is 180cm what is the length and breadth of the rectangle?

Answers

Check out Kathy way tbh

BRAINLIEST + 25 POINTS
Part A: a^2 + 6 for a = 5

Part B: Show your work and/or explain how you arrived at your answer

Answers

Answer:

31

Step-by-step explanation:

Plug in 5 as a into the expression:

a² + 6

(5)² + 6

25 + 6

= 31

So, the answer is 31 when a = 5

substitute a=5 into the equation.

5²+6

25+6=31

hope that helps^^

Michael is organizing a game of chance for his class. He asks each student to pick a ribbon from a bag and then put it back into the bag. The bag
has 12 yellow ribbons, 7 red ribbons, and 3 blue ribbons. If Jane picks a ribbon, what is the probability that the ribbon will be yellow and what is
the likelihood of this event?
OA. The probability is 1, and the event is certain.
OB. The probability is î and the event is likely.
OC. The probability is it and the event is unlikely.
OD The probability is it, and the event is neither likely nor unlikely.

Answers

Answer:

b

Step-by-step explanation:

Using the probability concept, it is found that the correct statement regarding the probability of picking a yellow ribbon is given by:

D The probability is of 0.5454 = 54.54%, and the event is neither likely nor unlikely.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, 12 out of 22 ribbons are yellow, hence:

p = 12/22 = 6/11 = 0.5454 = 54.54.

The probability is greater than 0.05 but less than 0.95, hence it is neither likely nor unlikely, which means that option D is correct.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ5

Help plzzz!! Marking most Brainly;)

Answers

Answer:

D it

Step-by-step explanation:

We have two equations, A quadratic and a linear equation.

The domain of a linear equation and quadratic equation is all real numbers but since it dealing with time we must make sure the roots or x-intercepts is positive.

Looking at the quadratic equation, we can use the discramnt formula to see if all roots are positve.

[tex]b {}^{2} - 4ac [/tex]

[tex] { - 6}^{2} - 4(1)(8.75)[/tex]

[tex]36 - 35 = 1[/tex]

The discramnt is greater than zero so there is two distinct real roots. So let check if they are positve

If you graph the equation, it intercepts at two positve roots so it is D

What is the solution to a system with parallel lines?

Answers

Step-by-step explanation:

no solution because they never intercept

23. Since 3 x 1/2 is the same as 1/2+ 1/2 +1/2 , what mixed number is the same
as 3 x 1/2?

Answers

Answer:

Step-by-step explanation:

3×1/2 = 1/2 + 1/2 + 1/2 = 3/2 = 1½

What is the equation of this line? ILL MARK BRAINLIST

A ~ y = -x + 2

b~ y = 2x -2

C ~ cannot be determined

D~ y = 2x + 2

Answers

This should be A. Hope this helps!

Help!!!!
Given that slope = -4 and a point (-2,5), write an equation in standard form
of the line.

Answers

THE ANSWER IS: 4x+y=-3

first plug in the slope and given point into point-slope form

solve for y to get slope-intercept form

rewrite the equation in standard form

Select the correct answer.
Consider these functions:
f(x)= 1/3x2 + 4
g(x)=9x – 12
What is the value of g(f(x))?

Answers

There are step by steps explaination in the picture

-3/4 × = 1/4 need Help to answer this question​

Answers

Answer:

x = -1/3

Step-by-step explanation:

step one - Simply both sides of the equation

step two - Multiply both side by 4/(-3)

Si un vendedor gana $ 450 por cada venta de $ 50 000, ¿cuál es su tasa de comisión?​

Answers

Answer:

..?.?..............???............

14) x - 27 0
3
X^3-27=0
X^3-27=0

Answers

Answer:

For the top equation, x = 27 (I think you meant to put x - 27 = 0. If not, I can always edit my answer for you)

For the bottom, x = 3

Hope this helps! Have a grrrreat day lol

5. A baker had 2 pans of corn bread. He served 1 1/4 pans. What fraction of a pan was left?

Answers

Answer:

3/4

Step-by-step explanation:

2- 1 1/4= 3/4

Answer:

3/4

Step-by-step explanation:

Elizabeth and McKenna are going to the county fair on free student admission night. Elizabeth and McKenna will be able to get in the fair for free however the fair charges $2 per ride. The girls want to know how many ride they can ride and how much will it cost them. What’s the independent and dependent variables ?!?!!

Answers

nariz :( jsjsjs f kmambsudbe

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