On a certain hot​ summer's day, 481 people used the public swimming pool. The daily prices are $1.75 for children and $2.00 for adults. The receipts for admission totaled $932.50. How many children and how many adults swam at the public pool that​ day?

Club members spent 13 of the beginning balance to attend their first tournament so, the Chess Club spent $77 on their second tournament.

To calculate the balance of a sum of money, you need to know the initial amount of money and any additions or subtractions that have been made to it.

For example, if you start with $100 and then receive an additional $50, your balance would be $100 + $50 = $150. If you then spend $25, your balance would be $150 - $25 = $125.

To determine how much money the Chess Club spent on their second tournament, we need to first calculate the remaining balance after the first tournament. The Chess Club spent 13 of the beginning balance of $321, so the remaining balance is $321 - $13 = $308.

Next, we need to calculate 25% of the remaining balance. 25% of $308 is (25/100) * $308 = $77.

Thus, the Chess Club spent $77 on their second tournament.

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The lengths of the sides of the rectangular field should be 244.95 m in order to minimize the cost of the fence.

Let the dimensions of a rectangular field be;

Length = l

Width = w

We know that the formula for perimeter of a rectangle is;

P = 2(l + w)

And the formula for area of the rectangle is;

A = lw

⇒ w = A/l

Subtitute w = A/l in the formula of perimeter of rectangle.

P = 2l + 2(A/l)

P = 2L + 2A/l

We differentiate above equation with respect to l,

dP/dl = 2 - 2A/l²

when dP/dl = 0 we get,

2 - 2A/l² = 0

l = √A

Substitute l = √A in the area equation,

A = w√A

w = A/√A

w = √A

This means, l = w = √A

Since length is equal to width, then it is a square.

We have been given that the area is 60,000 m²

So, l = w = √(60,000)

l = w = 244.95 m

Therefore, the lengths of the sides of the rectangular field should be 244.95 m

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The average increase in flower count is 42.

The average is the ratio created by dividing the total number of figures in a set by the number of elements

Fowers pollinated in this instance is f(x), where x is the number of days. The nunumber of figures.The number of flmber of flowers that were pollinated between days 4 and 10 as well as on those days must first be determined.

F(4) = 3(4^2) = 3*16 = 48

F(5) = 3(5^2) = 3*25 = 75

F(6) = 3(6^2) = 3*36 = 108

F(7) = 3(7^2) = 3*49 = 147

F(8) = 3(8^2) = 3*64 = 192

F(9) = 3(9^2) = 3*81 = 243

F(10) = 3(10^2) = 3*100 = 300

The average of the day-to-day variations will be

[(75-48)+(108-75)+(147-108)+(192-147)+(243-192)+(300-243] in order to obtain the average increase.

=(27+33+39+45+51+57)/6=42

There the average increase in the number of flowers pollinated per day is 42

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Answer: 12/25

Step-by-step explanation:  3/25 × 4 is equaled to 3/25 × 4/1.

So first  we take 3 and 4 and multiply them to make 12.  

Then we take 25 and multiply it by 1 which would equal to 25.

Now we have 12/25 which cannot be simplified.

The required number is 0.0556, which is 1.03 times of 0.054.

Given that,
To determine the number which is 1.03 times of 0.054.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
According to the question,
1.03 times of 0.054 = 1.03 ×0.054
                              = 0.0556

Thus, the required number is 0.0556, which is 1.03 times of 0.054.

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Due to the counselor's assumption that individuals who did not respond to the email may have tried alcohol and did not want him (the counselor) to know, a non response might cause bias in the research.

A non-response can contribute to a bias in the research because the counselor may believe that individuals who did not respond to the email may have tried alcohol and they did not want him (the counselor) to know.

When systematic mistakes are introduced into sampling or testing by choosing or favoring one outcome over other outcomes, it is considered to be biased in statistical research.

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The equivalent expression of the expression given as (m−2n−4)−4 is m − 2n − 8

From the question, we have the following parameters that can be used in our computation:

(m−2n−4)−4

Remove the brackets

So, we have the following representation

This gives

(m−2n−4)−4 = m − 2n − 4 −4

Evaluate the like terms in the above expression

So, we have the following representation

(m−2n−4)−4 = m − 2n − 8

The above expression cannot be further simplified

Hence, the solution is m − 2n − 8

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Answer:

y = 2 - 3x

Step-by-step explanation:

y + 3x = 2 ( isolate y by subtracting 3x from both sides )

y = 2 - 3x

Answer:

[tex]\huge\boxed{\sf y = 2 - 3x}[/tex]

Step-by-step explanation:

y + 3x = 2

Subtract 3x from both sides

y = 2 - 3x

[tex]\rule[225]{225}{2}[/tex]

True. In a probability​ model, the sum of the probabilities of all outcomes must equal 1.

This is incomplete question

Complete question is this:

True or False​: In a probability​ model, the sum of the probabilities of all outcomes must equal 1.

Answer in true or false.

Now, According to the question:

Let's know:

What is Probability Model?

A probability model is a mathematical representation of a random phenomenon. It is defined by its sample space, events within the sample space, and probabilities associated with each event. The sample space S for a probability model is the set of all possible outcomes.

Now, According to the above statement is:

Hence, True. In a probability​ model, the sum of the probabilities of all outcomes must equal 1.

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True. In a probability model, the sum of all outcomes' probabilities must equal 1.

Probability Model

A probability model is a mathematical model that represents a random phenomenon. Its sample space, events within the sample space, and probabilities associated with each event define it. A probability model's sample space S is the set of all possible outcomes.

As a result, the statement given here is true. In a probability model, the sum of all outcomes' probabilities must equal 1.

One advantage of using an explicit mathematical model rather than simply applying a set of rules to probability situations is that the intuitive approach to probability has significant limitations when analysing tricky or sophisticated phenomen.

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The expression 17n+11 represents the perimeter of a triangle, which is the sum of the lengths of the three sides of the triangle. Therefore, we can use this expression to determine the length of the third side of the triangle.

Since the perimeter of the triangle is equal to 17n+11, we know that the sum of the lengths of the three sides is equal to 17n+11. We can write this as:

a + b + c = 17n+11

where a, b, and c are the lengths of the three sides of the triangle.

To determine the length of the third side, we need to know the lengths of the other two sides. However, since the question does not provide this information, we cannot determine the length of the third side with certainty. In general, there are many different triangles that could have a perimeter of 17n+11, and the length of the third side could vary depending on the specific lengths of the other two sides.

Without additional information about the lengths of the other two sides, it is not possible to determine the length of the third side of the triangle.

Answer: 44

Step-by-step explanation:

100% - 12% = 88%

Take 50 times 0.88 = 44

The tank is full of water and all of the water is to be pumped over the top of the tank is 643,094.07 ft-lbs .

Consider a slice shown at a height of v and suppose that the slice has a thickness of Δv. The volume of the slice is then π( 3 )^2 Δv = 9π Δv which is the area of the disk of radius 3 times the thickness of the slice.

= 62.4 ( 9 π Δ v ) = 561.6 π Δ v

Δ W = ( 561.6 π Δ v ) ( 27 − v ) = 561.6 π ( 27 − v ) Δ v ft-lbs

Work = [tex]\int\limits^{27}_0[/tex]561.6 π ( 27 − v ) d v

= 561.6 π ( 27 v − 1 / 2 v^2 ) | 27_ 0

= 561.6 π ( 27 ∗ 27 − 1 / 2 ( 27 )^2

= 1,023,516 π / 5

= 643,094.07 ft-lbs

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Answer:

3.4 and 3 2/5

Step-by-step explanation:

5 3/5 = 5.6

5.6 - 2.2 = 3.4

3.4 = 3 4/10 = 3 2/5

Answer:60=T/H

Step-by-step explanation:your spending more but u don't know what or how much u spent so therefore there is a variable AKA inequality

The inequality that is different is C. X is no less than 12

Inequalities are created through the connection of two expressions. It should be noted that the expressions in inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥  <  >   ≤.

An inequality is created when two or more algebraic expressions are compared using the symbols. They represent mathematical expressions where neither side is equal.

p ≠ q means that p is not equal to q

p < q means that p is less than q

p > q means that p is greater than q

p ≤ q means that p is less than or equal to q

p ≥ q means that p is greater than or equal to q

It should be noted that x is no less than 12 isless than the other inequalities that are given. Therefore, the correct option is C.

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The ratio shows how many times one value is contained in another value.

The fraction of the bracelets from the total items is 6/13.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

The ratio of earrings, bracelets, and necklace is 13:24:15.

This means,

Earrings = 13x

Bracelets = 24x

Necklace = 15x

The fraction of the bracelets from the total items.

= 24x / (13x + 24x + 15x)

= 24x / 52x

= 24/52

= 12/26

= 6/13

Thus,

The fraction of the bracelets from the total items is 6/13.

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Hope this helps

Answer:

The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis.

Answer:39.9

Step-by-step explanation:1 kilogram is 0.453592 kilograms so if you multiply that number by 88 you will get 39.9

Answer:

Add Everyone's Goals

and then Divide Steeler's goal with Everyone's Goal.

Then Mutiply with 100 to get percentage.

Ans: 14.6%

Answer:

a. 10 km

b. 25 km

c. 35 km

Step-by-step explanation:

You are given the rate running = 5 km per 0.5 hr and the rate for biking = 20 km per 0.8 hr. Set up a proportion to get from 0.5 hr to 1 hr multiply by 2, so multiply 5 km by 2 = 10 km. Do the same for biking 0.8 hr to 1 hr is multiplied by 1.25, so multiply 20 by 1.25 = 25 km. Add those two values together for c to get 35 km. See attached image

Answer:

Step-by-step explanation:

if you're looking for an+1 it might be an=3

because the an represents the first term in the sequence

The solution to the inequality expression given as -3 ≤ x - 5 is x ≥ 2

From the question, we have the following parameters that can be used in our computation:

-3 ≤ x - 5

Add 5 to both sides of the expression

So, we have the following representation

5 - 3 ≤ x - 5 + 5

Evaluate the like terms

2 ≤ x

Rewrite the expression as

x ≥ 2

Hence, the solution is x ≥ 2

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Answer:

8 years old

Step-by-step explanation:

Make Nick's age = x

Caroline's age = x + 12

Mark's age = x - 4

So,

x + (x + 12) + (x - 4)

Remove brackets:

x + x + 12 + x - 4 = 44

Collect like terms:

3x = 44 - 12 + 4

3x = 36

x = 12 

Mark is 8 yrs old

Nick is 12 yrs old

Caroline is 24 yrs old

Youngest is Mark = 8 years old.

Hope this helps :-)

The die was rolled 7 times in there 60 times if it is landed on one-11 times, two-9 times, four-12 times, five-12 times, and six - 8 times.

Probabilities are mathematical explanations of the probability of an event occurring or of a proposition being true. The probability of an event is expressed as a number between 0 and 1, where 0 often indicates impossibility and 1 generally indicates certainty.

Given,

Number of times a die rolled=60

And also given that it landed on,

One --- 11 times

Two -----9 times

Four -----12 times

Five -----12 times

Six -------8 times

Total number of times the die was landed on is 52 times.

Therefore, total number of times a die was rolled=60

S0, 52+x=60

x=7

Therefore, the die was rolled 7 times in there 60 times.

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Eve made 56 free throws for every 30missed throws in her practice

What is ratio?

In mathematics, a ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.

From the question;

The ratio of misses would be: 7:3

If she missed 24 free throws, the new ratio would be: x:24

To do this, we would need to find how many times did 3 go into 24.

3 goes into 24 8 times. We do the same thing to the 7.

We multiply 7x8, which is 56.

The new ratio is: 56:24

So, Eve made 56 free throws.

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As a fraction, decimal and a percent, the shaded region is expressed as 7/10, 0.7 and 70% respectively.

Given is a image as shown in the image attached.

We can express the shaded area as -

Fraction : 7/10

Decimal : 0.7

Percent : (7/10) x 100 = 70%

Therefore, in the form of fraction, decimal and a percent we can express the shaded region as 7/10, 0.7 and 70% respectively.

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Answer:

6+18

Step-by-step explanation:

Use PEMDAS, or standard order of operations for basically all levels of math.

In order from first to last, solve:

Parenthesis

Exponents/Roots

Multiplication/Division

Addition/Subtraction

Exponents, Multiplication, or Addition are not to be prioritized over Roots, Division,  or Subtraction. Solve left to right in that situation.

Because 6+18 is in parenthesis, solve that first.

Answer:

  16x⁸y³

Step-by-step explanation:

You want to simplify (4x⁴y³)(4x⁴).

The relevant rule of exponents is ...

  (a^b)(a^c) = a^(b+c)

The simplified form is ...

  [tex](4x^4y^3)(4x^4) =(4\cdot4)x^{4+4}y^3=\boxed{16x^8y^3}[/tex]