The admission fee at an amusement park is $1.25 for children and $7.20 for adults. On a certain day, 253 people entered the park, and the admission fees collected totaled $1060. How many children and how many adults were admitted?

There were _______ children admitted.
There were _______ adults admitted

If you look at this rationally I believe it will be 7.0 with the odd number.

The area a of the window as a function of the width x of the window 12x -(4 + π)x2/8

Let y be the height of the window's rectangular part, and let P represent the window's perimeter.

P then equals x plus 2y plus the length of the semicircular part. The radius of the semicircular part is x/2.

So, P = x + 2y + (1/2)(circumference)

     P = x + 2y  + (1/2)(2)π(x/2)

     P = x + 2y +πx/2 = 24

2y = 24 - x - πx/2

y = 12 - x/2 - πx/4 = 12 - (2 + π)x/4

A = xy + (1/2)π(x/2)2

   = x(12 - (2 + π)x/4) + πx2/8

   = 12x -(2 + π)x2/4 + πx2/8

    = 12x - (4 + 2π)x2/8 + πx2/8

   = 12x - 4x2/8 - πx2/8

   = 12x -(4 + π)x2/8

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The expression to represent how much Jamie spends in all. we may state,0.40x + 0.40y is 8, 0.30x + 0.30y is 6

Set variables to represent the amounts we wish to identify.

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Applying the Midsegment Theorem, the length of BC is: 10.

The Triangle Midsegment Theorem states that in a triangle, a line segment connecting the midpoints of two sides is parallel to the third side and is half as long.

From the information given we know that:

E is the midpoint of BC and D is the midpoint of AC.

Thus, applying the Midsegment Theorem, we have:

ED = 1/2(BA)

Substituting the values not expressive, we would get:

x + 2 = 1/2(4x - 6)

2(x + 2) = 4x - 6

2x + 4 = 4x - 6

2x - 4x = -4 - 6

-2x = -10

x = 5

BE = x = 5

Therefore, BC = 2(5) = 10.

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Answer:

0.2142857143

Step-by-step explanation:

4/7 × 3/8

=12/56

=0.2142857143.

Answer:

5 tickets for $12.50

Step-by-step explanation:

because in that deal the ticket only costs $2.05

and in the second deal which is 8 tickets for $20.60 the ticket costs 2.57

The probability of a person that has the disease and indication of the test also shows the presence of the disease is given by 0.92.

Let us consider 'A' represents the test indicate the presence of disease when it was actually present

A = 96%

  = 0.96

And 'B' represents the population percent actually has the disease

B = 2%

  = 0.02

A' represents the population who represents the disease when actually disease is not present.

A' = 0.08

Probability of a person that has the disease when test also indicates its presence is given by :

P ( A/ B) = P( A∩B) / [ P(A∩B) + P(A'∩B) ]

             = ( 0.02 × 0.96 ) / [ ( 0.02 × 0.96 ) + ( 0.02 × 0.08 ) ]

             = 0.0192 / 0.0208

             = 0.92

Therefore, the required probability of a person having disease when test also indicates it is equal to 0.92.

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Answer:

Step-by-step explanation:

[tex]-63y^2+27y[/tex]

[tex]-63yy+27y[/tex]

[tex]-9\cdot \:7yy+9\cdot \:3y[/tex]

[tex]9y\left(-7y+3\right)[/tex]

Number of shingles in the 6th row is 110.

An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.

If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:

a, a + d, a +  2d, ... , a + (n+1)d, ...

Its nth term is

T_n = a + (n-1)d

(for all positive integer values of n)

And thus, the common difference is

T_{n+1} - T_n

for all positive integer values of n

Given;

Each row has 7 fewer shingles than the row below it

First row has 75 shingles

Now,

a=75

D=7

n=6

a_{n}=a_{1}+(n-1)d

a6=75+(6-1)7

a6=75+35

a6=110

Therefore, the answer of arithmetic sequence will be 110.

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Answer:

33

Step-by-step explanation:

it starts with 75 and decreases by 7 for each row. (75 -7)  On the 6th row youll be at 33!

STARTS AT 75

row one: 68

row two: 61

row three:54

row four: 47

row five: 40

row six: 33

Answer:

656 cm sq

Step-by-step explanation:

2 x 10 x 2 x 10 = 400

8 x 2 x 8 x 2 =256

256+400 = 656

After 2 minutes of leaving home, Abby meet Betty.

Given is that Abby's distance from home is given with the function :

S{t} = 100t² + 400t, where {t} is time in minutes.

The given function is -

S{t} = 100t² + 400t

dS{t}/dt = 0

200t = 400

t = 2

Therefore, after 2 minutes of leaving home, Abby meet Betty.

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A power function is a type of function with a variable in the form of an exponent. An exponential function is a type of function that contains a variable in the form of an exponent.

The most common example of this is y = xn, where n is the exponent and x is the independent variable. For example, y = (π)x is a power function with an exponent of x and an independent variable of π.

Exponential Function: An exponential function is a type of function that contains a variable in the form of an exponent. The most common example of this is y = bx, where b is the base and x is the independent variable. For example, y = xy is an exponential function with a base of x and an independent variable of y.

Polynomial: A polynomial is a type of function that has a degree, which is the highest exponent of its variables. For example, y = x2 (2-x3) is a polynomial with a degree of 2 since the highest exponent of its variables is 2.

Trigonometric: A trigonometric function is a type of function that involves trigonometric ratios. The most common example of this is y = tan t â cos t, which uses the trigonometric ratios of tangent and cosine.

Algebraic Function: An algebraic function is a type of function that can be expressed as a combination of polynomials. The most common example of this is y = s / 1+s, which is a combination of polynomials with a numerator of s and a denominator of 1+s.

Root Function: A root function is a type of function that involves a root of a polynomial. The most common example of this is y = sqrt(x3 â 1) / 1+ 3sqrt(x), which uses the root of the polynomial x3 â 1 in the numerator and 3sqrt(x) in the denominator.

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The inequality that is graphed on the number line is:

x > -2

Here we can see the graph of an inequality on a number line, on it, we can see a blue line that starts with a open circle (which means that we need to use the symbols < or >) at x = -2

Then the line extends to the right of that number, so the allowed values of x are larger than -2, then the inequality graphed is:

x > -2

Thus the correct option is the fourt one.

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There were 0-5 Listeners when the song was released.

The approximate number of listeners who had heard the song after the hour 5 was 15- below 50

The number of listeners was about 29,458 after hour 5842.62/

Alternative forms

Y= 4,637(1.26)ˣ

292131/50,5842,31/50,5.84262 =10³

5842.62

Including polynomial components, such as squared or cubed predictors, is the most popular technique to fit curves to data using linear regression. Typically, the model order is determined by the number of bends required in your line. Each exponent increment causes one additional bend in the curved fitting line.

Curve of Best Fit: a scatter plot curve that best approximates the trend. If the data looks to be quadratic, we use quadratic regression to get the equation for the best-fit curve. We do a cubic regression if it looks to be cubic.

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Answer: To find the number of balls Ivan makes each day, we need to divide the total volume of lead used each day by the volume of one ball.

The formula for the volume of a sphere is:

V = (4/3) * π * r^3

Where V is the volume, π is pi and r is the radius of the sphere.

We know the radius of the sphere is 3 inches so we can use this information to find the volume of one ball.

V = (4/3) * π * 3^3

V = (4/3) * π * 27

V = 36 * π

Now we know the volume of one ball is 36π cubic inches, we can divide the total volume of lead used per day by the volume of one ball to find the number of balls made per day.

28,260 in^3 / 36π in^3/ball = 785.833 balls/day

Rounding to the nearest hundredth, Ivan on average makes 785.83 balls/day.

Step-by-step explanation:

The two equivalent expressions to the given one are the ones in options C and E.

C (100y + 32) - (200y + 16)

E -(-100y + 16 + 200y - 32)

We want to see which expressions are equivalent to:

-4*(-25y + 4 + 50y - 8)

Let's distribute that product so we will get:

-4*(-25)*y - 4*4 - 4*50y - 4*-8

100y - 16 - 200y + 32 = -(-100y + 16 + 200y - 32)

Then option E is a correct option

And also is C: (100y + 32) - (200y + 16)

If we keep simplifying this we wil get:

100y - 16 - 200y + 32 = -100y + 16

And here we end.

The only two equivalent expressions are E and C.

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The average speed throughout the given time was [1,2] = -2.00 cm/sii. -0.26 cm/siii for [1,1.1]. [1.1,1.01] = 0.17 cm/siv. [1.1,1.001] = 0.02 cm/s

The particle's displacement divided by the passage of time represents its average velocity at each time interval. The displacement of the particle for the above motion equation is given by s = 2 sint + 4 cost. By subtracting the displacement at the beginning and end of the period and dividing it by the change in time, we can determine the average velocity for each time period. As an illustration, the displacement for the time period [1,2] is 2 sin + 4 cos at the beginning of the period and 2 sin + 4 cos at the end of the period. These two figures differ by -4, and one second has passed between them.

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Answer:this is so ez

Step-by-step explanation: 2/5

Answer:

Shortest = 10ft

Middle = 18 ft

Longest = 26ft

Step-by-step explanation:

(btw u can make a diagram to make it easier to visualise)

Let shortest side of triangle be x

So:

1st side = 2x+6

2nd side = x

3rd side = x+8

These sides all equal to 54 ft (perimeter)

2x+6 + x + x+8 = 54

4x + 14 = 54

4x = 40

x = 10

Now that we know the shortest side just sub it back into the equations!

The value of N would be N = q/(9 + 4uz).

What is algebraic manipulation?

Algebraic manipulation is the process of rearranging mathematical expressions in order to solve equations or to make them easier to understand. It involves the use of mathematical operations and properties such as addition, subtraction, multiplication, division, and the commutative, associative, and distributive properties.

Given:

q - 4Nuz = 9N

To find the value of N, we can use algebraic manipulation.

9N + 4Nuz = q

N(9 + 4uz) = q

N = q/(9 + 4uz)

Hence, the value of N would be N = q/(9 + 4uz).

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I think you want to know what written out means? If yes it means when someone writes something down on a book or paper.

Expressed the answers to the given operations with the proper number of significant figures:

(a) (1.600 × 10-¹)(2.1 × 10³) = 336

(b) (1.33)³ = 2.352637

(c) 1.93.x 2.651 = 5.11643

(d) 4.4/2.200 = 2

In calculation, single integers called integers are used to represent values. To represent all fine values, the figures 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 are employed in colorful combinations and reiterations.

A number is a symbol that can be used to represent any of the ten integers ranging from 0 to 9. an illustration of a two- number.

When a number has two integers, it's called a 2- number . 2- number figures have two integers and range from 10 to 99.

They're unfit to begin with zero since it'll also be regarded as a single- number .

Any number between 1 and 9 can be used as the number in the knockouts place. For case, the figures 45, 78, and 12 have two integers.

a) (1.600 × 10-¹)(2.1 × 10³)

= 1.6 × 2.1 × 10⁻¹⁺³

= 3.36 × 10²

= 336

b) (1.33)³

= 2.352637

c) 1.93 × 2.651

= 5.11643

d) 4.4/2.200

= 2.0

= 2

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a) ∀x∃y(x < y): For all values of x there exist number y such that all x are less than y.

b) ∀x∀y(((x ≥ 0) ∧ (y ≥ 0)) → (xy ≥ 0)) : For any numbers x and y if x is greater tha or equal to 0 and y is greater than or equal to 0 then their product is greater than or equal to 0.

c) ∀x∀y∃z(xy = z) : For any numbers x and y there exist number z such that the product of x and y is equal to z.

We know that  a mathematical statement is nothing but a sentence which is either true or false.

We need to translate these statements into English.

The meaning of some mathematical symbols:

∀ : for all

∃ : there exists exactly one

∧ : and

Here, x, y, z are real numbers.

Consider given mathematical statements.

a) ∀x∃y(x < y)

For all values of x there exist number y such that all x are less than y.

b) ∀x∀y(((x ≥ 0) ∧ (y ≥ 0)) → (xy ≥ 0))

For any numbers x and y if x is greater tha or equal to 0 and y is greater tha or equal to 0 then their product is greater than or equal to 0.

c) ∀x∀y∃z(xy = z)

For any numbers x and y there exist number z such that the product of x and y is equal to z.

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When will divide (3x³+x-200) by (x-4) will get 3x²+12x+49 and -4 as remainder.

Division is the process of splitting a number or an amount into equal parts.

Given is an expression, 3x³+x-200 which is divided by x-4,

Therefore,

(3x³+x-200) / (x-4)

Divide the leading term of the dividend by the leading term of the divisor:

3x³/x = 3x²

Multiply it by the divisor: 3x²(x−4)=3x³−12x²

Subtract the dividend from the obtained result:

(3x³+x−200)−(3x³−12x2) = 12x²+x−200

Divide the leading term of the obtained remainder by the leading term of the divisor: 12x²/x = 12x

Multiply it by the divisor: 12x(x−4) = 12x²−48x

Subtract the remainder from the obtained result:

(12x²+x−200)−(12x²−48x) = 49x−200

Divide the leading term of the obtained remainder by the leading term of the divisor: 49x / x = 49

Multiply it by the divisor: 49(x−4) = 49x−196

Subtract the remainder from the obtained result:

(49x−200)−(49x−196) = −4

Hence, When will divide (3x³+x-200) by (x-4) will get 3x²+12x+49 and -4 as remainder.

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Answer:

4/5 < 2/6

Step-by-step explanation:

Hope it helps! =D

No, she does not have enough soil as she needs 4 pounds of soil.

What is meant by soil?

she as = 2 1/8 + 1 3/4

            = 17/8 + 7/4

            = 17+ 7 × 2 / 8

            = 17 + 14 / 8

           = 31/8

           = 3 7/8 pounds

           ≤ 4 pounds.

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Answer:

3/4 > 4/7

Step-by-step explanation:

1. Find the LCM of 4 and 7, which is 28

2. Take 3/4 and multiply the numerator and the denominator by 7 (because 7x4=28)

You will end up with 21/28

3. Take 4/7 and multiply the numerator and the denominator by 4 (because 4x7=28)

You will end up with 16/28

Now that the denominators are the same,  the fraction with the bigger numerator is the greater fraction. Therefore, 3/4 is the greater than 4/7.

Answer: Based on the information provided, we can use the proportion of blue m&ms found in the sample (82 out of some larger total number of m&ms) to estimate the total number of m&ms in the entire bag.

If we let x be the total number of m&ms in the bag, we can set up the proportion:

82/x = blue m&ms / total m&ms

To solve for x, we can cross-multiply and divide by 82:

x = 82 * total m&ms / blue m&ms

x = 82 * 1

x ≈ 82

Therefore, based on the sample, we expect there to be approximately 82 m&ms in the entire bag, rounded to the nearest whole m&m.

It's worth noting that this is an estimation, and the actual number of m&ms in the bag may be different.

Step-by-step explanation:

The number of teachers who teach:

(a) science but not humanities = 45

(b) Humanities but not science = 10  

(c) Humanities or science = 70

To find the number of teachers that teach only Science we can subtract the number of teachers who teach both subjects from the number of teachers that teach science.

Similarly, to find the number of teachers that teach only Humanities we can subtract the number of teachers who teach both subjects from the number of teachers that teach Humanities.

To find the number of teachers who teach Humanities or science we use the elementary set formula,

Here we have

Total number of teachers = 100

No of teachers who teach Humanities, n(H)= 25

No of teachers who teach Science, n(S) = 60

No of teachers who teach both Science and Humanities, n(H ∩ S) = 15  

The number of teachers who teach science but not humanities

= No of teachers who teach Science - No of teachers who teach both

= 60 - 15 = 45  

The number of teachers who teach Humanities but not science

= No of teachers who teach Humanities - No of teachers who teach both

= 25 - 15 = 10

The number of teachers who teach Humanities or Science  

As we know n(A ∪ B) = n(A) + n(B) - n(A ∩ B)  

The number of teachers who teach Humanities or Science

= n(S) + n(H) - n(S ∩ H)    

= 60 + 25 - 15

= 70

Therefore,

The number of teachers who teach:

(a) science but not humanities = 45

(b) Humanities but not science = 10  

(c) Humanities or science = 70

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The dominant K allele is necessary for hearing, and the dominant M allele causes deafness regardless of the other genes present. What fraction of the offspring of parents with the genotypes KkMm and Kkmm will most likely be deafi is 1/2 so c option is correct

The percentage that the offspring will be deaf is 75%. Two punnet squares are needed each for km and Kkmm individuals. In punnet square 1, half of the genotypes are Km and km while half are Mm and kk in punnet square 2. The two punnet squares are then combined to form a final one where a quarter of the offspring is deaf.

What does genotype mean?

In a wide sense, the word"genotype" refers to the genetic makeup of an organism;  it defines an organism's complete set of genes. In a more thin sense, the term can be used to guide the alleles, or variant forms of a gene, that are carried by an organism.

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