On a certain hot​ summer's day, 310 people used the public swimming pool. The daily prices are $1.25 for children and $2.00 for adults. The receipts for admission totaled $581.75 How many children and how many adults swam at the public pool that​ day?

Answers

Answer 1

Answer:

Children: 51

Adults: 259

Step-by-step explanation:

Children = c Adults = a

$1.25 c + $2.00 a = $581.75

$1.25 c + $2.00 (310 - c) = $581.75

Multiply: $2.00 * 310 to get $620

Multiply: $2.00 * - c to get - $2.00 c

$1.25 c + $620 - $2.00 c = $581.75

Subtract both sides by $620

-$0.75 c = -$38.25

Divide both sides by -0.75

c = 51

We now know there are 51 children.

Overall, there are 310 people so we subtract:

310 - 51 = 259

This means:

a = 259

To check our answer:

51 * 1.25 = 63.75

259 * 2.00 = 518

518 + 63.75 = $581.75


Related Questions

help asap algebra easy question!!!​

Answers

Answer: - a/8

Multiply - a/4 by 2 to get common denominator of eighths

a/8 - 2a/4 = - a/8

Answer:

a/8 is the correct answer.

To get the common denominator of eighths, multiply a/4 by 2.

2a/4 - a/8 = a/8

-5 | 6n +15 | +2 = - 43

Answers

Answer:

n=-1 or n=-4

Step-by-step explanation:

-5/6n + 15/ = -45

/6n + 15/ = 9

square both sides to neutralize absolute value

/6n + 15/^2 = 81

36n^2 + 180n + 225 = 81

divide both sides by 9

4n^2 + 20n + 25 = 9

4n^2 + 20n + 16 = 0

divide both sides by 4

n^2 + 5n + 4 = 0

Factorize

(n + 1)(n + 4) = 0

therefore n = -1 or -4

Tara places a picture in a picture frame. The width of the picture is x inches, and the length of the picture is 2 inches more than the width. The frame is 1 inch wide on all sides. The perimeter of the outside of the picture frame is 28 inches.

Tara writes the equation below to find the width, in inches, of the picture.

2(x+2)+2(x+4)=28

What is the width, in inches, of the picture?

Answers

Answer:

Pretty sure it's 4 inches.

Hope this helps :)

I need the explanation too !

Answers

Step-by-step explanation:

[tex] - 2y + x + 3 - 5x + 7 + 4y[/tex]

[tex] = - 2y + 4y + x - 5x + 7 + 3[/tex]

[tex] = 2y - 4x + 10[/tex]

THIS IS YOU'RE ANSWER

HOPE IT HELPS

MARK ME THE BRAINLIEST...

Answer:

−4+2+10

Step-by-step explanation:

First we add the numbers with no variable or exponent:

−2++3−5+7+4

−2++10−5+4

Then we combine the like terms. When combining like terms, you must find the numbers with the same variable/letter and add them. A number with the variable  cannot be added with the variable . They must be the same variable. Now let's combine the like terms in this problem.

−2++10−5+4

^ As you can see, the variable  does not have a coefficient, so we just use the number 1 as a coefficient. If a variable doesn't have a coefficient, always use 1.

−2−4+10+4

Now we combine the other like terms.

−2−4+10+4

2−4+10

And last, we rearrange the numbers.

To rearrange the numbers, you have to start with the numbers with variables. You must start with the variable that comes first in the alphabet. Then we add the number with no coefficient, just a number by itself. If there's ever an exponent, add the coefficient with an exponent first in the answer.

−4+2+10

Hope this helps! ;)

If you can, will you mark me brainliest, I need four more to rank up, thanks!

Dara buys a small drink for $1.75. A large drink costs 1.6 times as much as a small drink. How much does a large drink cost?

Answers

i believe its $6.95 but i did that in my head so i might be wrong

Answer:

$2.80

Step-by-step explanation:

PLEASE HELP ASAP 50 POINTS PLSSSSSSSSS

Answers

33 because the fracture of it is equaling that just get a calculator and divide them by the 12 for each one and you we’ll see

explanation:

Answer:

33

Step-by-step explanation:

help me please..........


Answers

Answer:

oof thats hard

Step-by-step explanation:

Arthur has 12 more marbles than Michael. Together, they have 48 marbles. Michael has 16 marbles while Arthur has 32 marbles. Is this correct? Justify your answer by indicating the equation to be used.

Answers

Answer:

no its not right bc authur has to have 12 mor and ha has 16 more not 12

Step-by-step explanation:

Answer:

this is false

Step-by-step explanation:

if arthur has 12 more marbles then michael that means that arthur has 28 marbles, NOT 32

Srry i couldnt find the correct answer but i hope this helped! And pls mark brainliest.

Please do I will mark you as brainliest

Answers

Answer:

Step-by-step explanation:

1/11 = 0.09090909

2/9 = .2222222222

1/10 is certainly between these two numbers.

1/10 is 0.1 which is larger (just) than 1/11 but a good deal smaller than 2/9

1/20 = 0.05 which is just bigger than 1/11 but much smaller than 2/9. There are many numbers that would fit between 1/11 and 2/9

A metal bar has a mass of 960g and a volume of 120cm³. Find the density of the metal in the bar.

Answers

Answer:

Density = 8g/cm³

Step-by-step explanation:

Density = Mass/Volume

Given the following

Mass = 960g

Volume = 120cm^3

Substitute

Density = 960g/120cm^3

Density = 8g/cm³

Plz I need help ASAP

Answers

Answer:

22

Step-by-step explanation:

5.50p=5.50x4=22

I hope this is the answer you're looking for! :)

I just edited it.

Hi I need help with this hope someone has the answer.A triangular window is above the door to a café. The length of the base of the window is 12 feet, and the height is 10 feet

What is the area of the window?

Answers

Answer:

the answer is 60

Step-by-step explanation:

12×10=120

120÷2=60

Step-by-step explanation:

Sample Response: The height of the triangle will be twice the height of the rectangle. The area of a triangle is ½ bh and the area of a rectangle is bh. If the bases are the same, then the height of the triangle has to be double that of the rectangle in order to get the same area.

graph y = -4 on a graph

Answers

Answer:

It is a horizontal line at the point (0,-4) and goes on forever.

Step-by-step explanation:

find the domain and range of relation of 3x + y =3​

Answers

Rewrite the equation in the slope-intercept form.

3x + y = 3

Subtracting -3x from both sides we get this:

y = -3x + 3

This is just a straight line.

Here, x can be any real number.

When x is any real number, the value of y is also any real number.

A straight line goes on forever in two directions. It really does not matter what number we select for x to find y.

Answer:

Domain is ALL REAL NUMBERS.

Range is ALL REAL NUMBERS.

Your math book may write the answer in interval notation:

Domain is (-00, 00); Range is (-00, 00).

Note:

-00 means negative infinity.

00 means positive infinity.

Still in some math books, the author(s) may decide to use set notation to express ALL REAL NUMBERS for the domain and range.

If so, we can also write the answer this way:

Domain = {x| x = ALL R}, where big R stands for real numbers.

Range = {y| y = ALL R}, where big R stands for real numbers.

18% of 92, what is the estimation?

Answers

Answer:

16.56

Step-by-step explanation:

I hope this helps you mark me brainliest. Imma senior I need it.

Answer:

16.56

Step-by-step explanation:

if the point (2 -10) lies on the graph of an inverse variation which represents the inverse variation equation

Answers

Answer:

y=-20x

Step-by-step explanation:

A cube has a volume of 125 cubic inches. What is the length of each edge?

Answers

The length of of each edge is 5 ft.

If the edge of the cube is marked as a, the the volume can be calculated as V = a³, so here given the volume V, we car write that:

Which property is demonstrated below?
a + b = b + a

Answers

Answer:

Commutative Property

Step-by-step explanation:

The word "commutative" comes from "commute" or "move around", so the Commutative Property is the one that refers to moving stuff around. For addition, the rule is "a + b = b + a"; in numbers, this means 2 + 3 = 3 + 2. For multiplication, the rule is "ab = ba"; in numbers, this means 2×3 = 3×2.

Answer:

Commutative property of addition

Step-by-step explanation:

Which of the following is an irrational number?
A. Vo
B. 73
C. 1.36
D. -0.19

Answers

Answer:

A

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

root three is irrational

:) help out luvs!Thanks baes

Answers

Answer:

A = 3

B = 4

C = 6

D = 5

E = 2

F = 7

G = 1

Step-by-step explanation:

Hopes it helps!

A dog walks due east 180 ft to a corner.
After turning through an angle of 81.5°,
the dog walks 329 ft. to the second
corner. Then the dog walks back
to the starting point.
What is the area of the triangle
formed by his path?
Area = [?] ft.2
Round to the nearest hundredth.

Answers

Answer:

Area = 29284.87 ft²

Step-by-step explanation:

I've drawn a triangle to depict the movement of the dog with the angle and dimensions.

From the attached triangle, we see that the starting point is C, the first point is A and the second point is B.

Let's find the third side from the image using law of cosine.

Thus;

b² = a² + c² - 2ac cos B

Thus;

b² = 180² + 329² - 2(180 × 329)cos 81.5

b² = 32400 + 108241 - 17506.55

b² = 123134.45

b = √123134.45

b = 350.91 ft

We calculate the area of the triangle using heron's formula.

Area = √(p(p − a)(p − b)(p − c))

Where p = (a + b + c)/2 = (180 + 350.91 + 329)/2 = 429.955 ft

Area = √(429.955(429.955 - 180)(429.955 - 350.91)(429.955 - 329)

Area = 29284.886 ft²

To the nearest Hundredth gives;

Area = 29284.87 ft²

Answer:

29284.76

Step-by-step explanation:

"you're welcome"

-Some Dude who is on Brainly

A refrigerator has a marked price of $5000. Mr. Jones bought it on hire purchase for $7500. What is the extra cost Mr. Jones paid as a percentage of the cash price? *

A) 66.6%
B) 33.3%
C) 50%
D) 75%​

Answers

The answer is C. 50% because 50% of 5,000 is 2,500 and 2,500+5,000= 7,500
50% because the 50% of 5000 is 2500 and 5000+2500=7500

Sadiq measured the dimensions of a 1 kg bag of sugar and found the length was 9.2 cm, the width was 6 cm and the height was 14.1 cm.

Calculate the density of the sugar in g/cm3

Answers

Answer:

[tex]d=1.28\times 10^{-6}\ g/cm^3[/tex]

Step-by-step explanation:

The mass of a bag of sugar, m = 1 kg = 0.001 g

Length of bag, l = 9.2 cm

Width of bag, b = 6 cm

Height of the bag, h = 14.1 cm

We need to find the density of the sugar bag.

Density = mass/volume

So,

[tex]d=\dfrac{0.001\ g}{9.2\times 6\times 14.1\ cm^3}\\\\d=1.28\times 10^{-6}\ g/cm^3[/tex]

So, the density of the bag is [tex]1.28\times 10^{-6}\ g/cm^3[/tex].

Which of these is equivalent to 2.75?

A. 2 3/4
B. 2 2/5
C. 2 1/5
D. 2 3/25

Answers

Answer:

2 3/4

Step-by-step explanation:

2=2

.75= 3/4

Example 75 cents is equal to 3 quarters

[tex]2 \frac{3}{4} [/tex]

Because 2.75 =

[tex] \frac{11}{4} [/tex]

And

[tex] \frac{11}{4} = 2 \frac{3}{4} [/tex]

Add the expression (-5x + 4) + -1 (x - 1)

Answers

-5x + 4 -x + 1

(-5x - x) + (4 + 1)

-6x + 5

PLEASE HELP THIS IS URGENT!!​

Answers

Answer:

1,620

Step-by-step explanation:

Volume = bh

the base is 15x9 which gives you 135

know you must multiply the base x height

135x12= 1,620

for future length and width = base

GEOMETRY. I will give brainliest

Answers

Given:

A figure of a circle. A secant and tangent of the given circle.

To find:

The correct equation.

Solution:

According the intersecting tangent secant theorem, the square of tangent is equal to the property of external segment of secant and the measure of the secant.

Using intersecting tangent secant theorem, we get

[tex]6^2=x(x+5)[/tex]

It can be written as

[tex]x(x+5)=6^2[/tex]

The required equation is [tex]x(x+5)=6^2[/tex].

Therefore, the correct option is B.

What is the upper quartile of the box and whisker?

A. 70

B. 55

C. 40

D. 90​

Answers

Answer:

BBBBBBBBBBBBBBBBBBBB

A. 70 (it’s where the box ends for the Q3)

a scuba diver dives down 70 feet down into the ocean. he then swims another 40 feet down what is the new elevation of the scuba diver

Answers

Answer:

-110

Step-by-step explanation:

-70 + -40 = -110

Which is the following functions is graphed below?​

Answers

Answer:

A.y=|x|+7

Step-by-step explanation:

your answer is A !!!!
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