The cost of a ticket to the circus is $14.00 for children and $38.00 for adults. On a certain day, attendance at the circus was 700 and the total gate revenue was $19,400. How many children and how many adults bought tickets?

Answer:

Step-by-step explanation:

\(\sf \dfrac{17}{3}x+17-\dfrac{2}{3}x-15 = \dfrac{17}{3}x-\dfrac{2}{3}x+17-15\)

                               \(=\dfrac{17-2}{3}x + 2\\\\\\=\dfrac{15}{3}x+2\)

Answer:

a) P(n) is true for all 'n' in the set ; { 0,2,4,6,8 ….. }

b) P(n) is true for all 'n' in the set ; { 0,1,2,3,4,5 ............ }

Step-by-step explanation:

a) As P(0) is true

we will assume that

this simply means  that ;  P(n) is true for all 'n' in the set

{ 0,2,4,6,8 ….. }

b) since P(0) and P(1) are true

we will assume that

also P(1) and P(2) are true

we will assume that

Also from the previous answers it can be seen that P(2) + P(3) is true

we will assume

This simply means that P(n) is true for all 'n' in the set

{ 0,1,2,3,4,5 ............ }

Step-by-step explanation:

study by the University of London found that participants who multitasked during cognitive tasks, experienced an IQ score decline similar to those who have stayed up all night. Some of the multitasking men had their IQ drop 15 points, leaving them with the average IQ of an 8-year-old chil

Answer:

Step-by-step explanation:

5 1/4

Answer:là

5

với số dư

1

.

5

1

4

Step-by-step explanation:

The evaluation of the given Boolean expressions are:

a) A && !B =  false              b) B∥C = true

c) B==C = false                   d) A&&!C = true

e) (B∥C)&&(!A) =  false        f) (A!=B)∥(B!=C)  = true

Information available in the problem:

A = true

B = true

C = true

a) Since A and B are both true, !B (which means "not B") is false. Therefore, A && !B evaluates to false, because the logical AND operator returns true only if both of its operands are true.

Hence,

A && !B = true && false = false

b) Since B is true, the result of B∥C will be true, regardless of the value of C. This is because the logical OR operator returns true if at least one of its operands is true.

Hence,

B∥C = true ∥ false = true

c) Since B is true and C is false, B and C have different values, and therefore B==C will evaluate to false. This is because the equality operator returns true only if its operands have the same value.

Hence,

B==C = true == false = false

d) Since A is true and !C (which means "not C") is true, A&&!C evaluates to true. This is because the logical AND operator returns true only if both of its operands are true.

Hence,

A&&!C = true && !false = true && true = true

e) Since B is true, the result of B∥C will be true, regardless of the value of C. This is because the logical OR operator returns true if at least one of its operands is true. Therefore, B∥C evaluates to true.

Since A is true and !A (which means "not A") is false, !A evaluates to false.

Therefore, (B∥C)&&(!A) evaluates to false, because the logical AND operator returns true only if both of its operands are true.

Hence,

(B∥C)&&(!A) = true && false = false

f) Since A is true and B is true, A!=B (which means "A is not equal to B") is false, because A and B have the same value.

Since B is true and C is false, B!=C (which means "B is not equal to C") is true, because B and C have different values.

Therefore, (A!=B)∥(B!=C) evaluates to true, because the logical OR operator returns true if at least one of its operands is true.

Hence,

(A!=B)∥(B!=C) = false ∥ true = true

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The area of the shaded part of the rectangle given the total rectangle and unshaded part of the rectangle is 440 in²

Total rectangle:

Length of the rectangle = 30 in

Width of the rectangle = 20 in

Area of total rectangle = Length of the rectangle × Width of the rectangle

= 30 in × 20 in

= 600 in²

Unshaded rectangle:

Length of the rectangle = 16 in

Width of the rectangle = 10 in

Area of unshaded rectangle = Length of the rectangle × Width of the rectangle

= 16 in × 10 in

= 160 in²

Area of the shaded part = Area of total rectangle - Area of unshaded rectangle

= 600 in² - 160 in²

= 440 in²

Therefore, the area of the shaded part of the rectangle is 440 in²

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62 square yards is the area of the figure.

Area is the measure of a region's size on a surface and the area of a plane region or plane area refers to the area of a shape

In the given figure there are three rectangle in that two are smaller rectangles squares.

The rectangle has length of 10 yd and width of 5 yd.

Area of rectangle (Large)=10×5

=50 square yds

The side length of smaller rectangle is 3 yards and width is 2 yd

Area of rectangle (small)=3×2

6 square yds.

As there are two smaller rectangles, then area will be 2(6)=12 yards.

Now total area = 50+12

=62 square yards.

Hence, the area of the figure is 62 square yards.

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the answer is 50 luv

Answer:

18/5

Step-by-step explanation:

3(6)=5x

18=5x

x=18/5

Answer:

x = 30

Step-by-step explanation:

1/2(x+6) = 18

Expand brackets or use distributive law.

1/2(x) + 1/2(6) = 18

1/2x + 6/2 = 18

1/2x + 3 = 18

Subtract 3 on both sides.

1/2x + 3 - 3 = 18 - 3

1/2x = 15

Multiply both sides by 2.

(2)1/2x = (2)15

x = 30

Answer:

30

Step-by-step explanation:

Applying the tangent ratio, the value of x in the image, rounded to the nearest thousandth is: 15.824.

The tangent ratio, commonly referred to as "tangent," is a trigonometric function that relates the ratio of the length of the side opposite an angle to the length of the side adjacent to that angle in a right triangle. It is expressed as:

tan (∅) = opposite/adjacent

We have the following:

Reference angle (∅) = 53 degrees

Length of opposite side = 21

Length of adjacent side = x

Plug in the values:

tan 53 = 21/x

x * tan 53 = 21

x = 21 / tan 53

x = 15.824

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The unit rate of computers per day using the graph is that 12 computers are made per day.

The unit rate is how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. Unit rates is said to be the amount of something in each unit or per unit.

To obtain the unit rate of computers sold per day using the graph, we need to obtain the slope of the graph, which is the change in y per change in x

So, it is given by:

\(\text{Slope} = \dfrac{\text{change in y}}{\text{change in x}}\)

\(\text{Slope} = \dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)

\(\text{y}_2 = 60 , \ \text{y}_1 = 36 , \ \text{x}_2 = 5, \ \text{x}_1 = 3.\)

\(\text{Slope} = \dfrac{(60 - 36)}{(5 - 3)} = \dfrac{24}{2} = 12\)

\(\bold{Slope = 12}\)

Unit rate = 12 computers per day.

The attachment of the graph is given below.

Therefore, the unit rate of computers per day is 12.

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Answer:

1/6y + 1/6(y + 12) - 2

Step-by-step explanation:

Answer:34,000

Step-by-step explanation:

Answer:

its 34,000 because it below 5

Step-by-step explanation:

brainliest please

Vertex (3, -4) with x-intercepts (1, 0), (5, 0), and (0, 5) and an axis of symmetry of 3. As a result, choice B is the right response.

In a graph, what exactly is a vertex?

The right response is, therefore, option B.

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Full Question-

What characteristics can you see in the graph of the quadratic function in the figure? Options for question 14: A: The vertex is at (-4,3), the y-intercept is at (5,0), the x-intercepts are at (0,1) and (0,5), and the symmetry axis is at (-4,3) B: The vertex is at (-3,-4), the y-intercept is at (0,5), the x-intercepts are at (1,0) and (5,0), and the symmetry axis is at (3); C: Vertex: (3, -4), y-intercepts: (1, 0), and (5, 0), x-intercept: (0, 5), axis of symmetry: (3 D) Axis of symmetry is at x = -3, vertex is at (-3,4), y-intercept is at (0,5), and x-intercepts are at (1,0) and (5,0).

Answer:

A relation is a function if x values never repeat, so every input will only have one output. If the function is graphed you can do the vertical line test, a relation passes if you can draw a vertical line anywhere on the graph and it only intersects with the relation once.

Therefore , the solution of the given problem of unitary method comes out to be the letters A, B, A, and B can thus be arranged in six distinct ways.

Using what was learned, utilising this varied approach, and combining all crucial factors from prior researchers who employed a certain methodology can enable completion of the assignment. The entity indicated in the proposition can then either also be discovered or both crucial processes will definitely miss the expression if the desired claim outcome occurs. A refundable prepayment of Rupees ($1.21) may be needed for fifty pens.

Here,

The following formula can be used to create permutations of n objects with repeats of k1, k2,..., kr objects of each type:

=> n!/(k1! * k2! * ... * kr!)

We have two different object kinds (A and B) here, both of which are repeated twice. As a result, we have:

n = 4 (the total number of things) (the total number of objects)

=>k1 = k2 = 2 (the number of objects of each category) (the number of objects of each type)

The result of the formula is:

=> 4!/(2! * 2!) = 24/(2 * 2) = 6

The letters A, B, A, and B can thus be arranged in six distinct ways.

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Hey!

For any graphing calculator problems I would recommend using desmos if your teacher allows it or getting a graphing calculator such as a ti-nspire :)

This way, it will be able to graph and get the answers quicker!

The answers to this question is (37.5,15) and (0,60). To find your answers when you graph always look for where the lines intersect. If the lines do not intersect then it is not one of your answer choices. (examples are below).

Answer:

2 1/4 cups

Step-by-step explanation:

The answer choice which correctly describes the given sequence as required to be determined is; Start with 2 and multiply by 2 repeatedly.

It follows from the task content that the answer choice which correctly describes the sequence be determined.

By observation, the first term is 2.

Also, the ratio of each pair of successive terms is 2 as evident in;

4 / 2 = 8 / 4 = 16 / 8 = 2.

On this note, it follows that the correct description of the sequence is; Start with 2 and multiply by 2 repeatedly.

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Answer:

min: 56

lower quartile: 70

median: 74

upper quartile: 80

max: 86

Answer:

last option

Step-by-step explanation:

(x-h)²+(y-k)²=r²

(x--7)²+(y-4)²=5²

(x+7)²+(y-4)²=25

The equation of the circle is (x + 7)² + (y - 4)² = 25.

Option D is the correct answer.

A circle is a two-dimensional figure with a radius and circumference of 2pir.

The area of a circle is πr².

We have,

The equation of a circle with center (h,k) and radius r.

(x - h)² + (y - k)² = r²

Substituting the given values, we get:

(x - (-7))² + (y - 4)² = 5²

Simplifying the equation:

(x + 7)² + (y - 4)² = 25

Therefore,

The equation of the circle is (x + 7)² + (y - 4)² = 25

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Answer:

\(y - 4 = - 3(x - 2)\)

The cost of goods available for sale is $50,000, and the cost of goods sold is $34,500.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

The cost of goods available for sale is the sum of beginning inventory and purchases, minus any purchase returns:

Cost of goods available for sale = Beginning inventory + Purchases - Purchase returns

Cost of goods available for sale = $12,000 + $40,000 - $2,000

Cost of goods available for sale = $50,000

To calculate the cost of goods sold, we need to subtract the ending inventory from the cost of goods available for sale:

Cost of goods sold = Cost of goods available for sale - Ending inventory

Cost of goods sold = $50,000 - $15,500

Cost of goods sold = $34,500

Therefore, the cost of goods available for sale is $50,000, and the cost of goods sold is $34,500.

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Answer:

s=89

Step-by-step explanation:

Answer:

y = 4(x + 11)² - 484

Step-by-step explanation:

y = 4x² + 88x

factor the expression

y = 4(x² + 22x)

complete the square

y + ? = 4(x² + 22x + ?)

y + ? = 4(x² + 22x + 121)

add 4 • 121 to the left side

y + 4 • 121 = 4(x² + 22x + 121)

multiply

y + 484 = 4(x² + 22x + 121)

y + 484 = 4(x + 11)²

subtract both sides by 484

y = 4(x + 11)² - 484

Answer:

y = 4(x + 11)² - 484

Step-by-step explanation:

We can list out some of the ways to show 45 with tens and ones and see how many there are:

4 tens and 5 ones (i.e., 40 + 5 = 45)

3 tens and 15 ones (i.e., 30 + 15 = 45)

2 tens and 25 ones (i.e., 20 + 25 = 45)

What is probability?

Probability is a measure of the likelihood of an event occurring.

To answer the question, we first need to understand what it means to "show 45 with tens and ones." In this context, we are likely referring to different ways of expressing the number 45 as a sum of tens and ones.

For example, one way to show 45 with tens and ones is to write it as 4 tens and 5 ones (i.e., 40 + 5 = 45). Another way is to write it as 3 tens and 15 ones (i.e., 30 + 15 = 45). We can continue this pattern to find other ways of expressing 45 as a sum of tens and ones.

Now, let's consider Lester's and Anya's claims. Lester says there are 4 ways to show 45 with tens and ones, while Anya says there are 5 ways. Without knowing the specific ways they are counting, it's difficult to say who is correct.

However, we can list out some of the ways to show 45 with tens and ones and see how many there are:

4 tens and 5 ones (i.e., 40 + 5 = 45)

3 tens and 15 ones (i.e., 30 + 15 = 45)

2 tens and 25 ones (i.e., 20 + 25 = 45)

1 ten and 35 ones (i.e., 10 + 35 = 45)

0 tens and 45 ones (i.e., 0 + 45 = 45)

We can see that there are indeed 5 ways to show 45 with tens and ones, so Anya is correct.

In general, it's important to be specific about what we mean when we ask questions or make claims. In this case, it's possible that Lester and Anya were counting different things, which led to their different answers.

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Answer:

Factored Form: ( y - 2 )( 3y + 7 )

Step-by-step explanation:

1. Let us first write down the problem at hand: 3y^2 + y - 14

2. Now let us break this expression into groups:  

3y^2 - 6y + 7y - 14  ⇒ ( 3y^2 - 6y )( 7y - 14 )

3. Factor 3y from 3y^2 - 6y:

3y^2 - 6y ⇒ 3y( y - 2 )

4. Factor 7 from 7y - 14:

7y - 14 ⇒ 7( y - 2 )

5. Substitute Step #3, 4 ⇒ Step #2:

3y( y - 2 ) + 7( y - 2 )

6. Factor common term y - 2:

Answer: ( y - 2 )( 3y + 7 )

The sum of the functions is option B. (f + g)(x) = 2x³ + 3x² - 5x - 3.

A function is defined as a relation from a set to another set  such that the elements in the first set maps to one and only one element in the second set.

Or in other words, no elements in the first set has more than one image in the second set.

Given the two functions,

f(x) = 2x³ + 3x² - 7x + 2 and g(x) = 2x - 5.

We have to find (f + g) (x).

Sum of the functions is,

(f + g)(x) = f(x) + g(x)

             = (2x³ + 3x² - 7x + 2) + (2x - 5)

             = 2x³ + 3x² - 7x + 2x + 2 - 5

             = 2x³ + 3x² - 5x - 3

Hence the sum of the given function is 2x³ + 3x² - 5x - 3.

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Answer:

\( \bar x = 40, s =10\)

And from these values we can estimate the sample variance like this:

\( s^2 = 10^2 =100\)

And we can also estimate the coeffcient of variation given by:

\( \hat{CV} =\frac{s}{\bar x}\)

And replacing we got:

\( \hat{CV} = \frac{10}{40}= 0.25\)

And this coefficient is useful in order to see the variability in terms of the mean for this case since is lower than 1 we can conclude that this variation around the mean is low.

Step-by-step explanation:

For this case we have the following info given:

\( \bar x = 40, s =10\)

And from these values we can estimate the sample variance like this:

\( s^2 = 10^2 =100\)

And we can also estimate the coeffcient of variation given by:

\( \hat{CV} =\frac{s}{\bar x}\)

And replacing we got:

\( \hat{CV} = \frac{10}{40}= 0.25\)

And this coefficient is useful in order to see the variability in terms of the mean for this case since is lower than 1 we can conclude that this variation around the mean is low.