On a certain hot​ summer's day, 310 people used the public swimming pool. The daily prices are $1.75 for children and $2.50 for adults. The receipts for admission totaled $718.00. How many children and how many adults swam at the public pool that​ day?

Answer:

16 degrees

Step-by-step explanation:

2x+6 = 38

-6        -6

2x=32

Divide by 2

x=16

Answer:

1:0.56 which equals 56 scaled down

Answer:

x = -1 , y= 7

Step-by-step explanation:

3х + у = 4 .....equation 1

2x + y= 5 ....equation 2

Solving using linear combination method:

---------------------------------------------------------------

3х + у = 4

-2x - y = -5

-------------------...........Here the y cancels out.

x = -1

if x = -1

2x + y= 5

2(-1) + y = 5

y = 5 + 2

y = 7

Answer:

n = [tex]\frac{(5a + 42)}{( 7 - a ) }[/tex]

Step-by-step explanation:

7(n - 6) = a(n + 5)

7n - 42 = an + 5a

7n - an = 5a + 42

n( 7 - a ) = 5a + 42

n = [tex]\frac{(5a + 42)}{( 7 - a ) }[/tex]

Divide total price by total quantity:

15.60 / 19.5 = 0.80

Unit price = $0.80 per centimeter

Answer:

C

Step-by-step explanation:

Attached Picture.......

Answer:

23, 21, 19, 17

Step-by-step explanation:

f(3)=29-2(3)=29-6=23

f(4)=29-2(4)=29-8=21

f(5)=29-2(5)=29-10=19

f(6)=29-2(6)=29-12=17

Answer:

I, personally, would assume A, or 80°

Step-by-step explanation:

The Answer to your question is $5.40.

Answer:

C

Step-by-step explanation:

Answer:

185 shrubs

Step-by-step explanation:

ratio plant : 1% = 5 : 1%

if the percent of shrubs in the garden is 37%, according to my ratio. every 1% is 5 plants, therefore, 37% = 37 x 5 = 185

Answer:

  5.925 pints

Step-by-step explanation:

The rest of the paint is 1 -1/4 = 3/4 of the total amount:

  (3/4)(7.9 pt) = 5.925 pt

Sharon used 5.925 pints of blue paint to paint her bedroom walls.

Answer:

  18x +9h

Step-by-step explanation:

Such problems are tedious, but not difficult. The trick is to avoid making mistakes in the algebra.

  [tex]\dfrac{f(x+h)-f(x)}{h}=\dfrac{(9(x+h)^2)-(9x^2)}{h}\\\\=\dfrac{9(x^2+2xh+h^2)-9x^2}{h}=\dfrac{18xh+9h^2}{h}=\boxed{18x+9h}[/tex]

Hey there mate :)

( I have written 4 of them. You can select any two you want)

The two posscriticallysible negative implications that free higher education may have for prospective students include the following:

☆ No restriction to accesses

☆ The risk of Overcrowdiness

☆ Less quality

☆ Higher Competition

(POSITIVE)

Free education guarantees unrestricted access without academic limits will lower the level of universities, limiting the academic development of more qualified students currently.

( NEGATIVE)

It refers to the situation in which people are many in a particular space which poses higher health risks.

( NEGATIVE)

There will be reduced quality because the teacher and students won't be able to pay adequate attention to each other.

(POSSITIVE)

There will be a greater student competition, where by virtue of the right to equal and unrestricted access to education, these prospective students would see their possibilities for academic development easily, by competing with unlimited number of peers both in access to vacancies and in the internal possibilities of University and Colleges.

~ Benjemin360

Answer:

$58.85

Step-by-step explanation:

Take 7% out of 55 and add it to the total.

Using the volume of a cylinder, it is found that the approximate height of the container in inches is given by:

d. 15.48

The volume of a cylinder of radius r and height h is given by:

[tex]V = \pi r^2h[/tex]

In this problem, Sam pours 3 gallons of water into a cylindrical container, and it will be 90% full. Hence, the volume, in cubic feet, is:

[tex]0.9V = \frac{3}{7.48}[/tex]

[tex]V = \frac{3}{0.9(7.48)}[/tex]

[tex]V = 0.4456[/tex]

The diameter of the container is 8 inches, hence the radius is of 4 inches = 0.3333 feet, considering a feet has 12 inches.

The height, in feet, will be given by:

[tex]V = \pi r^2h[/tex]

[tex]0.4456 = (0.3333)^2\pih[/tex]

[tex]h = \frac{0.4456}{(0.3333)^2\pi}[/tex]

[tex]h = 1.2768[/tex]

Considering a feet has 12 inches, in inches, the height will be of:

1.2768 x 12 = 15.48

Hence option D is correct.

You can learn more about the volume of a cylinder at https://brainly.com/question/9408912

Answer:

If the price of a product decreases from $10 to $8, leading to an increase in quantity demanded from 40 to 60 units.

Step-by-step explanation:

Fractions are numbers represented by the quotients of two integers

The result of 7/9 divided by 1/3 is 7/3

The division expression is given as:

[tex]\frac 79 \div \frac 13[/tex]

Rewrite the division expression as a product

[tex]\frac 79 * \frac 31[/tex]

Evaluate the product in the above expression

[tex]\frac 73[/tex]

So, we have:

7/9 [tex]\div[/tex] 1/3 = 7/3

Hence, the result of [tex]\frac 79 \div \frac 13[/tex] is 7/3

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Answer: it's B

Step-by-step explanation:

168 children and 35 adults swam in the public pool

Let the number of children in the pool be x

Let the number of adult in the pool be y

If  203 people used the public swimming pool, then;

x + y = 203

Also,  if the daily prices are $1.75 for children and $2.25 for adults with the receipts for admission totaled $372.75, then;

1.75x + 2.25y = 372.75

175x + 225y = 37275

7x + 9y = 1,491

Substitute equation 1 into 2

7(203-y) + 9y = 1,491

1421- 7y + 9y = 1491

2y = 70

y = 35

Since x = 203 - y

x = 203 - 35

x = 168

Hence 168 children and 35 adults swam in the public pool

Learn more on simultaneous equation here: https://brainly.com/question/16863577

Linear equations are equations that have constant slopes

The linear equation that represents the table is (a) y = 7x +4

Start by calculating the slope (m) using:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{-10 +17}{-2 +3}[/tex]

Simplify

[tex]m = \frac{7}{1}[/tex]

[tex]m = 7[/tex]

The equation is then calculated as:

[tex]y = m(x -x_1) + y_1[/tex]

So, we have:

[tex]y = 7(x +2) -10[/tex]

Open the brackets

[tex]y = 7x +14 -10[/tex]

[tex]y = 7x +4[/tex]

Hence, the linear equation that represents the table is (a) y = 7x +4

Read more about linear equations at:

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Answer:

1107.4

Step-by-step explanation:

Took Test.

The sum of 14 terms of the arithmetic sequence having the first term, a₁ = 18, and the constant difference, d = 9.4 is given as S₁₄ = 1107.4. Hence, the first option is the right choice.

An arithmetic sequence is a special sequence where every term is the sum of the previous term and a constant.

The sum of an arithmetic sequence having n-terms, with the first term being a, and the constant difference being d is given by the formula:

Sₙ = (n/2){2a + (n - 1)d}, where Sₙ is the sum of n-terms.

In the question, we are asked to find the sum of 14 terms for the arithmetic sequence, where the first term, a₁ = 18, and the constant difference, d = 9.4.

We know that the sum of an arithmetic sequence having n-terms, with the first term being a, and the constant difference being d is given by the formula:

Sₙ = (n/2){2a + (n - 1)d}, where Sₙ is the sum of n-terms.

Thus, substituting n = 14, a = 18, and d = 9.4 in the above formula, we get:

S₁₄ = (14/2){2(18) + (14 - 1)(9.4)},

or, S₁₄ = 7{36 + 122.2},

or, S₁₄ = 7*158.2,

or, S₁₄ = 1107.4.

Thus, the sum of 14 terms of the arithmetic sequence having the first term, a₁ = 18, and the constant difference, d = 9.4 is given as S₁₄ = 1107.4. Hence, the first option is the right choice.

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Step-by-step explanation:

Hi there!

From the question;

The slope of the line is 5/10 or 0.5.

Also the equation of the line passes through the point (0,5).

Note: Use one point formula. {i.e (y-y1)=m(x-x1)}

So, use the formula here and keep the values;

(y-5) = 5/10(x-0)

or, 10(y-5) = 5x

or, 10y-50 = 5x

or, 5x - 10y +50 = 0

Therefore, the required equation is 5x - 10y +50 = 0 or x-2y+10 = 0.

Hope it helps!

Transposition

Transposition is a method to isolate the variable to one side of the equation and everything else to the other side so that you can solve the equation.

Algebraic equations can be solved using the Law of equations. The Law of equations states that whatever you do on one side of an equation, you must do on the other side as well.

An isosceles trapezoid have two congruent slant sides.

The three correct statements are:

The isosceles trapezoid is given as: ABCD

From the diagram. the slant sides are AD and BC.

This means that:

Lengths AD and BC are congruent

Similarly, the angles at A and B, and the angles at D and C are congruent

Read more about isosceles trapezoid at:

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Answer:

16

Step-by-step explanation:

Absolute value always means positive i.e to remove any negative signs in front of a number.

Since 16 is a simple digit with the  as the positive sign is  invincible.

So, the absolute value of 16 is 16.

[tex]\huge\boxed{\maltese{\sf{Hi~there!}}}[/tex]

Let's talk about what the absolute value is.

Notation: | |

[tex]\maltese[/tex] The absolute value of a number is always positive, even if the number is negative.

Thus, the absolute value of 16 is 16. :)

[tex]\huge\boxed{\star{Answer:16\star}}}[/tex]

Hope it helps! Enjoy your day!

~Just a determined gal

[tex]\bf{S^il^en^t[/tex]

Answer:

slope = 2  which passes the line ( 3, 1 ) , ( 8, 11 )

Explanation:

coordinates given: ( 3, 1 ) , ( 8, 11 )

to find slope of the line: [tex]\frac{y2-y1}{x2-x1}[/tex]

                                      : [tex]\frac{11-1}{8-3}[/tex]

                                      : [tex]\frac{10}{5}[/tex]

                                      : [tex]2[/tex]

Answer:

D. 1

Step-by-step explanation:

Given points are: (5,8) and (6,9)

[tex]\implies x_1=5,\: x_2=6,\: y_1=8,\: y_2=9[/tex]

Formula for slope of a line is give as:

[tex]Slope \: of\: line =\frac{y_2-y_1}{x_2-x_1}[/tex]

Plugging in the values of [tex] x_1,\: x_2\: and\:y_1,\: y_2[/tex] in the above formula, we find:

[tex]Slope \: of\: line =\frac{9-8}{6-5}[/tex]

[tex]Slope \: of\: line =\frac{1}{1}[/tex]

[tex]Slope \: of\: line =1[/tex]

Answer:

4,400 :)

Step-by-step explanation:

Answer and Step-by-step explanation:

Anytime that you are rounding a number, there is a rule that you should follow:

"Anything 1 - 4 is closest to the number before, or the lower side. Anything 5 - 9 is closest to the higher side of whatever round you are trying to get to."

If that doesn't make sense, let me explain.

In this case, we need to look at the hundreds placement, which is the 3 in this situation. But we can't look at that, because then we would be rounding to the nearest thousand.

(Important:) So, we need to look at the number behind it, which is 8. Eight is on the higher side of 5 - 9, which means that it grants us permission to round to the next hundred.

The is: 4,400.

I hope this helps.

Answer:

3^3

The answer is a.3^3

The scale factor k for the sphere's volume in order to arrive at the volume of the new sphere is 3^3, the correct option is A

Suppose the initial measurement of a figure was x units.

And let the figure is scaled and new measurement is of y units.

Since the scaling is done by multiplication of some constant, that constant is called scale factor. Let that constant be 's'.

Then we have:

[tex]s \times x = y\\s = \dfrac{y}{x}[/tex]

Thus, scale factor is the ratio of the new measurement to the old measurement.

Given;

Radius is multiplied by 3

In order to arrive at the volume of new sphere the factor must be greater or equal to 3

So,

Scale factor=x*k

=3^3

Therefore, the scale factor k will be 3^3

Learn more about scale factors here;

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