On a certain hot​ summer's day, 336 people used the public swimming pool. The daily prices are $1.50 for children and $2.50for adults. The receipts for admission totaled $613.00 How many children and how many adults swam at the public pool that​ day?

Answers

Answer 1

Answer:-

Let c represent the number of children ($1.75 each) and a represent the number of adults ($2.00 each).

We know that there were 340 people total, so c + a = 340. This implies that a = 340 - c

We also know that $1.75 c + $2.00 a = $609.25

By substituting a with 340 -c we have $1.75 c + $2.00 (340 -c) = $609.25

Use the distributive property to obtain $1.75 c + $680 - $2.00 c = $609.25

Subtract $680 from both sides and combine like terms to get - $0.25 c = - $70.75

Now, divide both sides by -$0.25 to get c = 283, the number of children.

The number of adults is 340 - c or 340 - 283 = 57

Answer 2

Answer:

227 children and 109 adults

Step-by-step explanation:

227*1.5+109*2.5=613

227+109=336


Related Questions

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

is it 7?

Step-by-step explanation:

the capacity of a jug is 6L. Kerry needs 5L of juice for a party. how many jugs will she have to make?

from the owner's lil sis

Answers

Answer:

One

Step-by-step explanation:

Given data

The capacity of Jug= 6L

Needed capacity of Juice= 5L

Hence  one Jug of Juice will be enough because one jug of juice will cover for 6L and 1 L will actually remain

Could someone please help me with the surface area of this prism

Answers

Answer:

it is in the picture above

Step-by-step explanation:

please give branliest if you want

Tamara orders graphic novels. Each graphic novel costs $9.50. A one-time shipping fee of $12.25 is added to the cost of the order. The total cost of Tamara’s order before tax is $183.25. How many graphic novels did Tamara order?

Answers

Answer:

18 novels

Step-by-step explanation:

X= number of novels, 12.25 is a fixed fee.

9.50x+12.25=183.25

9.50x=171

x=18 novels

Answer quick. please say either A,B or C in your answer. no need for explanation ​

Answers

A

Because the gradient of a vertical line is undefined.

find the square root of 3 upon 5 upto 2 decimal places​

Answers

Answer:

Square root of 3 upon 5:

√3÷5

= 0.3464101615137

0.35 (corrected to 2 decimal places)

Please help me I need help

Answers

it's upside down , can barely see it
13.2665

A squared plus B squared equals C squared

How many coins make $7.68 in cents

Answers

768 pennies my dudeeee

PLEASE HELP
7) What are examples of a polyhedron? Check ALL that apply. *
cylinders
triangular prisms
spheres
rectangular prisms
square prisms
cubes
cones

Answers

Cubes
Triangular prisms
Rectangular prisms
Square prisms
Square prisms

Are HMS is the same as Are HSM, since they use the same letters and points on the circle
?
True or false ?

Answers

Step-by-step explanation:

its "false" they r not same.

stay safe healthy and happy.

What is the scale factor?
NEED HELP ASAP!​

Answers

Answer:

scale factor = 2

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original

C'D' = 6 and CD = 3 then

scale factor = [tex]\frac{6}{3}[/tex] = 2

Are 6x+4-3x+8 and 3x+4 equivalent?

Answers

Answer: No, they are not equivalent

Why not? Well the 6x-3x portion simplifies to 3x. So the x terms are equivalent; however, the 4 and 8 in the first expression combine to 12, which is not equivalent to that 4 in the other expression.

In other words, 6x+4-3x+8 should simplify to 3x+12 and not 3x+4.

please help i am confused

Answers

I’m not sure about the second half but since it’s a triangle all of the angles add up to 180° so you can find the third angle by adding 61 and 90 then subtracting that from 180 to get the third angle

Arrange the entries of matrix AB in increasing order of their values.

Answers

Answer:

[tex]-186 \to -32 \to 6 \to 27 \to 28\ to 38 \to 56 \to 90 \to 115[/tex]

Step-by-step explanation:

Given

See attachment for A and B

Required

Arrange AB in ascending order

We have:

[tex]A = \left[\begin{array}{ccc}1&7&-1\\5&-2&-9\\-3&8&3\end{array}\right][/tex]

and

[tex]B = \left[\begin{array}{ccc}5&1&7\\3&15&-2\\-1&-9&25\end{array}\right][/tex]

So:

[tex]C = A * B[/tex]

[tex]C = \left[\begin{array}{ccc}1&7&-1\\5&-2&-9\\-3&8&3\end{array}\right] * \left[\begin{array}{ccc}5&1&7\\3&15&-2\\-1&-9&25\end{array}\right][/tex]

[tex]C = \left[\begin{array}{ccc}{27}&{115}&{-32}\\{28}&{56}&{-186}\\{6}&{90}&{38}\end{array}\right][/tex]

Where:

[tex]C_{1,1} =1*5 + 7*3 + (-1) * (-1)[/tex]

[tex]C_{1,2} =1*1 + 7*15 + (-1)*(-9)}[/tex]

[tex]C_{1,3} = 1*7 + 7*(-2) + (-1)*25}[/tex]

[tex]C_{2,1} = 5*5 + (-2)*3 + (-9) * (-1)}[/tex]

[tex]C_{2,2} = 5*1 + (-2)*15 + (-9)*(-9)}[/tex]

[tex]C_{2,3} = 5*7 + (-2)*(-2) + (-9)*25}[/tex]

[tex]C_{3,1} =(-3)*5 + 8*3 + 3 * (-1)[/tex]

[tex]C_{3,2} = (-3)*1 + 8*15 + 3*(-9)[/tex]

[tex]C_{3,3} = (-3)*7 + 8*(-2) + 3*25[/tex]

In increasing order, we have:

[tex]-186 \to -32 \to 6 \to 27 \to 28\ to 38 \to 56 \to 90 \to 115[/tex]

find the value of x for the question.​

Answers

Answer:

5

Step-by-step explanation:

Both angles together will equal as they are opposite of each other

therefore

15x=16x-5

15x+5=16x

5=x

Answer:

x = 5

Step-by-step explanation:

The two angles are congruent because of the Vertical Angles Theorem. Since we now know that they're congruent, we can set up an equation to like this:

15x = 16x - 5

Now that we have an equation, we can solve for x.

First, we subtract 15x from both sides. Now we're left with an equation that should look like this:

0 = x - 5

Now we add 5 to both sides to get our solution. It should look like this.

5 = x

And there's your answer! Hope this helps.

What is the measurement of angle 1?
please help

Answers

Answer:

∠ 1 = 63°

Step-by-step explanation:

∠ 1 and 117° are adjacent angles and sum to 180° , that is

∠ 1 + 117° = 180° ( subtract 117° from both sides )

∠ 1 = 63°

WHATS THE VOLUME PLS HELP

Answers

Answer:

Step-by-step explanation:

Volume is the quantity of three dimensional enclosed by a closed surface , for example , the space that a substance or 3D shape excipients or contains .Volume is often quantified numerically using the SI derived unit , the cubic metre.

Create a polynomial function in factored form that crosses through the x-axis at -2 and touches the x-axis and turns around at 4.​

Answers

Given:

A polynomial crosses through the x-axis at -2 and touches the x-axis and turns around at 4.​

To find:

The polynomial function in factored form.

Solution:

If the graph of a polynomial intersect the x-axis at [tex]x=a[/tex], then [tex](x-a)[/tex] is a factor of the polynomial.

If the graph of a polynomial touches the x-axis at [tex]x=b[/tex], then [tex](x-b)[/tex] is a factor of the polynomial with multiplicity 2. In other words [tex](x-b)^2[/tex] is the factor of the polynomial.

It is given that the polynomial crosses through the x-axis at -2. So, [tex](x+2)[/tex] is a factor of required polynomial.

It is given that the polynomial touches the x-axis and turns around at 4. So, [tex](x-4)^2[/tex] is a factor of required polynomial.

Now, the required polynomial is:

[tex]P(x)=(x+2)(x-4)^2[/tex]

Therefore, the required polynomial is [tex]P(x)=(x+2)(x-4)^2[/tex].

what is 2x=10 simplified?

Answers

Answer:

x=5

Step-by-step explanation:

2x=10

Divide each side by 2

2x/2 = 10/2

x = 5

Solve for n: 2^3n = 4

Answers

Answer:

n=1/2

Step-by-step explanation:

An item is regularly priced at $31 . It is on sale for 65% off the regular price.

Answers

65% off means the sale price would be 35% of the original price ( 100% - 65% = 35%)

To find the sale price multiply the original price by 35%

31 x 0.35 = 10.85

The sale price is $10.85

What is the mean of the snowfall amounts?

16.9 inches

15 inches

15.9 inches

16 inches

Year Snowfall (inches)
1997 14
1998 10
1999 17
2000 24
2001 12
2002 19
2003 15
2004 27
2005 14
2006 17

Answers

Answer:

16.9

Step-by-step explanation:

14+10+17+24+12+19+15+27+14+17=169

169/10=16.9

Please help me and if you can, could you please explain. Thank you :D

Answers

Answer: you said help so I’m not going to give the actual answer, just how to do it.

Step-by-step explanation:

You have to find the answer first. You work out the top and then you work out the bottom. Then divide the top by the bottom. YIU will get a number woth a power. The power is x that is your answer.

Answer:

Step-by-step explanation:


[tex]5x + 11(7x - 3[/tex]

Answers

[tex]82x - 33[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]5x + 11(7x - 3) \\ = 5x + 77x - 33 \\ = 82x - 33[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Convert the decimal, 2.55, into an improper fraction

Answers

Answer:2.55 in fraction form is 51/20.

Step-by-step explanation:

out of the total 225 students surveyed, what is the probability that a randomly selected student who is enrolled in spanish will also be taking math?

Answers

Answer:

5 ÷ 5 = 1

125 5 25

Step-by-step explanation:

The number between the two it's the number of people who does both

Find the volume of the cylinder in terms of pie and to the nearest tenth 4 in 1in

Answers

Answer:

Actual answer:

4^4 = 16

16 x 3.14 = 50.24

50.24 x 1(height) = 50.24

Rounded to the nearest Tenth:

50.24 rounded = 50.2

To what amount will $8000 growing if it is invested for 12 years at 6% compounded quarterly​

Answers

Answer:

The final balance is $16,406.01.

The total compound interest is $8,406.01

Step-by-step explanation:

take the initial balance and multiply that by the interest then take 12 and multiply that times the previous answer.

Una botella de agua de 3/4 de litro de capacidad, tiene solo la mitad de líquido, ¿qué cantidad de litros de agua tiene la botella? *
A. 3/2 de litro
B. 3/8 de litro
C. 8/3 de litro
D. 1/2 de litro

Answers

Answer:

Amount of water in bottle = 3/8 liter

Step-by-step explanation:

Given:

Total capacity of bottle = 3/4 liter

Amount of water in bottle = 1/2 of total capacity

Find:

Amount of water in bottle

Computation:

Amount of water in bottle = [Total capacity of bottle[1/2 of total capacity]

Amount of water in bottle = [3/4][1/2]

Amount of water in bottle = 3/ [(4)(2)]

Amount of water in bottle = 3/8 liter

solve for 5 + 6f > 8f -7
linear inequalities

Answers

Answer:

5+6f>8f-7

5+7>8f-6f

12>2f

6>f

f<6

Step-by-step explanation:

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