The school that Kathryn goes to is selling tickets to a
play. On the first day of ticket sales the school sold 4
adult tickets and 1 student ticket for a total of $58
dollars. The school took in $82 on the second day by
selling 6 adult tickets and 1 student ticket. Find the
price of an adult ticket and the price of a student
ticket.

The total revenue from adult ticket sales (10a) must be greater than or equal to $1200.

Let's represent the number of student tickets sold as 's' and the number of adult tickets sold as 'a'.

The revenue from student ticket sales can be calculated as 7.50s, and the revenue from adult ticket sales can be calculated as 10a.

To satisfy the constraint that the drama club must make no less than $1200, we can write the following inequality:

7.50s + 10a ≥ 1200

This inequality states that the total revenue from student ticket sales (7.50s) plus the total revenue from adult ticket sales (10a) must be greater than or equal to $1200.

This inequality ensures that the ticket sales generate enough revenue to cover the show's costs. The drama club needs to sell enough tickets, both student and adult, to meet or exceed the minimum revenue requirement of $1200.

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Answer:

answer: c, 43

Step-by-step explanation:

-3+h=40

+3        +3    add 3 to both sides

h=43

Answer:

Its c

Step-by-step explanation:-3 + h = 40 cause 43 -3 is 40

The term that describes an event that increases the likelihood of a response being repeated is known as reinforcement.

Reinforcement can be defined as any consequence that strengthens or increases the probability of a behavior occurring again in the future. This can include positive reinforcement, which involves adding a desirable consequence after a behavior, or negative reinforcement, which involves removing an aversive consequence after a behavior. Both types of reinforcement have been shown to be effective in increasing the likelihood of a behavior being repeated.

Overall, understanding the concept of reinforcement is essential in the field of psychology, particularly in the areas of behaviorism and behavior modification. By providing positive consequences after desired behaviors, individuals can be motivated to continue engaging in those behaviors, which can lead to long-term positive changes. Reinforcement can also be used to shape new behaviors or replace unwanted behaviors with more desirable ones.

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To find the fraction of the square quilt block that is shaded, we need to count the number of shaded unit squares and divide it by the total number of unit squares in the quilt block. Let us begin by counting the number of shaded unit squares.

We notice that there are a total of 6 unit squares that are shaded. The unit squares that are shaded are the 2 squares that are completely shaded and the 4 squares that are half shaded due to the presence of triangles.

Next, we need to count the total number of unit squares in the quilt block. We notice that the quilt block is made up of 9 unit squares, each of which can be divided into 4 smaller unit squares. Thus, the total number of unit squares in the quilt block is 9 x 4 = 36.

Therefore, the fraction of the square quilt block that is shaded is 6/36 or 1/6.

To summarize, the shaded portion of the quilt block consists of 6 unit squares out of a total of 36 unit squares. Thus, the fraction of the square quilt block that is shaded is 1/6.

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Answer:

46

Step-by-step explanation:

g(-10) = -4*(-10)+6 = 40+6 = 46

Answer: 12 dimes

Step-by-step explanation: 12 quarters = 3.00

five nickels = 3.25

12 dimes = 4.45

13 pennies = 4.58

Answer:

\(180000 ({1.04}^{ \frac{16}{3} } ) = 221879.40\)

After 16 years, the home is worth $221,879.40.

After 16 years, the value of the home will be $306,506.63. This is the amount that Fred and Wilma can expect to receive if they sell their home after 16 years of ownership.

The increase in the value of the home is due to the compounding effect of the 4% increase every 3 years. After the first 3 years, the home's value will increase to $187,200.

This becomes the new base value for the next 3-year period, and after 6 years, the value of the home will be $196,032. The process repeats every 3 years until the 16-year mark, resulting in a final value of $306,506.63. It's important to note that this calculation assumes a constant rate of increase, and that actual market conditions may result in a different rate of appreciation.

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Answer:

x = 3

Step-by-step explanation:

First lets add 4x + x so that we can get one x value on that side of the equation.

4x + x + 2 = 10x - 13

5x + 2 = 10x - 13

Then we can solve for x from there

5x + 2 = 10x - 13

-5x + 2 = -13   [Subtract 10x from both sides of the equation]

-5x = -15   [Subtract 2 from both sides of the equation]

-x = -3   [Simplify]

x = 3   [Simplify]

Hope this helps! I apologize if I got this incorrect

Answer:  x = 3

Steps: 4x + x + 2 = 10x - 13

Combine like terms: 5x + 2 = 10x - 13

Subtract 2 from both sides: 5x + 2 - 2 = 10x - 13 - 2

Simplify: 5x = 10x - 15

Subtract 10x from both sides: 5x - 10x = 10x - 15 - 10x

Simplify: -5x = -15

Divide both sides by -5:  -5x ÷ -5  =  -15 ÷ -5

Simplify: x = 3

Plz mark brainliest:)

Answer:

3.1

Step-by-step explanation:

a) The probability of picking S and S is 1/64

b) The probability of picking D and T is 1/64

c) The probability of picking S and T is 1/64

d) The probability of picking a vowel and a consonant is 3/16.

The word STUDENTS contains 8 letters. Each time we pick a letter from the bag, we replace it back, so the total number of outcomes for the first letter and the second letter is 8.

a) To find the probability of picking S and S, we can multiply the probability of picking S in the first draw (1/8) by the probability of picking S in the second draw (1/8), since we replace the letter after each draw:

P(S,S) = (1/8) x (1/8) = 1/64

b) To find the probability of picking D and T, we can multiply the probability of picking D in the first draw (1/8) by the probability of picking T in the second draw (1/8):

P(D,T) = (1/8) x (1/8) = 1/64

c) To find the probability of picking S and T, we can multiply the probability of picking S in the first draw (1/8) by the probability of picking T in the second draw (1/8):

P(S,T) = (1/8) x (1/8) = 1/64

d) To find the probability of picking a vowel and a consonant, we need to count the number of vowels and consonants in the word STUDENTS. There are 2 vowels (U and E) and 6 consonants (S, T, D, N). The probability of picking a vowel is 2/8 = 1/4, and the probability of picking a consonant is 6/8 = 3/4.

Since we replace the letter after each draw, the probability of picking a vowel and a consonant is:

P(vowel, consonant) = (1/4) x (3/4) = 3/16

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Answer:15

Step-by-step explanation:

In a square each side is the same length so you simply take 60 and divide it by 4 and you get 15.

Answer:

+2 to both sides

Step-by-step explanation:

12h=-24

Answer:

flip -2 over on the other side and add it to -26 so you will have 12h=-24 and the overall answer will be h=-2

Step-by-step explanation:

True; In MATLAB, array indices must be positive integers or logical values.

In MATLAB, array indices must indeed be positive integers or logical values. This means that when accessing elements within an array, the index values should be integers greater than zero or logical values (true or false). It is not permissible to use negative integers or non-integer values as array indices in MATLAB.

For example, consider an array called "myArray" with five elements. To access the first element of the array, you would use the index 1. Similarly, to access the fifth element, you would use the index 5. Attempting to use a negative index or a non-integer index will result in an error.

Using valid indices is crucial for proper array manipulation and accessing the correct elements. MATLAB arrays are 1-based, meaning the index counting starts from 1, unlike some programming languages that use 0-based indexing.

In MATLAB, array indices must be positive integers or logical values. This ensures proper referencing and manipulation of array elements. By adhering to this rule, you can effectively work with arrays in MATLAB and avoid errors related to invalid indices.

To know more about

In MATLAB, array indices start from 1. They are used to access specific elements within an array.

In MATLAB, array indices are used to access or refer to specific elements within an array. The index of an element represents its position within the array. It is important to note that array indices in MATLAB start from 1, unlike some other programming languages that start indexing from 0.

For example, consider an array A with 5 elements: A = [10, 20, 30, 40, 50]. To access the first element of the array, we use the index 1: A(1). This will return the value 10.

Similarly, to access the third element of the array, we use the index 3: A(3). This will return the value 30.

Array indices can also be logical values, which are either true or false. Logical indices are used to select specific elements from an array based on certain conditions. For example, if we have an array B = [1, 2, 3, 4, 5], we can use logical indexing to select all the elements greater than 3: B(B > 3). This will return the values 4 and 5.

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3x² - 4y² = 11

+ 4y²

3x² = 4y² + 11

- 11

3x² - 11 = 4y²

÷4

3x² - 11 / 4 = y²

Square root both sides, to get y on its own

Root 3x² - 11 / 4 = y

So, y = the Square root of 3x² - 11 / 4

So, y = the Square root of 3x² - 11 / 4 (or root 3x² - 11 /4)

Hope this helps!

Answer:

The correct option is;

The data for suitcase 1 have an outlier but the data for suitcase 2 does not

Step-by-step explanation:

Range of a box plot

Interquartile range (IQR) for bot suitcases we have

Here we have for suitcase 1

IQR = Q₃ - Q₁ = 12 - 8 = 4

For suitcase 2

IQR = Q₃ - Q₁ = 18 - 5 = 13

Lower outlier = Q₁ - 1.5×IQR

Higher outlier = Q₃ + 1.5×IQR

For suitcase 1 we have;

Lower outlier = 8 - 1.5×4 = 2 (No lower outlier)

Higher outlier = 12 + 1.5×4 = 18

Hence, whereby the whiskers range from 4 to 30, suitcase 1 has a higher outlier

For suitcase 2 we have;

Lower outlier = 5 - 1.5×13 = -14.5  (No lower outlier)

Higher outlier = 18 + 1.5×13 = 37.5

Hence, whereby the whiskers range from 2 to 20, suitcase 2 has no outlier.

Therefore, the correct option is the data for suitcase 1 have an outlier but the data for suitcase 2 does not.

Answer:A

Step-by-step explanation:

took the test

Answer: x=-11

Step-by-step explanation:

5(x+5)=2x-8

5x+25=2x-8

5x+25-25=2x-8-25

5x=2x-33

3x=-33

x=-11

The value of x in the given expression is -11.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that; Five times the sum of x and 5 is 8 less than twice x.

WE are asked to Solve for x.

Then the expression form as;

5(x+5)=2x-8

Now solve for x;

5x+25=2x-8

Subtract 25 on both sides;

5x+25-25=2x-8-25

5x=2x-33

3x=-33

x=-11

Therefore, the value of x in the given expression is -11.

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\( - 1 - 2(9) = - 1 - 18 = - 19\)

49.2 calories are in  would that contribute per serving .

What does a calorie mean ?

Carbohydrates provide 4 calories per gram.

              1 gm Carbohydrates = 4 calories

 then 12.3 gm Carbohydrates  = 12.3 * 4

                                             = 49.2 calories

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Answer:

B

Step-by-step explanation:

Answer:

B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)

Step-by-step explanation:

According to the Pythagorean Theorem, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs of a right triangle.

In other words, \(a^2 + b^2 = c^2\) for the triangle depicted below.

The right triangle's legs, a and b, are perpendicular sides, and the hypotenuse, c, is the side that faces away from the right angle.

Construction projects and almost anything involving right triangles, such as roofing for homes, are common uses for this application.

Hypotenuse² = Base² + Perpendicular²

The Pythagorean Theorem is used in a variety of computations. For instance, it may be used to determine the height and distance of straight and fallen trees, as well as the steepness of hills and mountains.

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Answer: x = \(\sqrt{y^2 -1}\)

Step-by-step explanation:

Answer:

4 t-shirts

Step-by-step explanation:

75-35 = 40

at most she can buy 4, because if she buys 5, she uses 45 dollars

The 100%-Norm.Dist(value,mean,sd,true) percent of the population has an iq over 115

According to the statement

we have to find that the what percent of the population has an iq over 115.

And from given information,

the mean iq score is 100 and the standard deviation is 15.

And

Normal distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

And by use of this formula, we find the percentage of the population has an iq over 115.

Then the result will comes as 100%.

hence, 100%-Norm.Dist(value,mean,sd,true)

So, The 100%-Norm.Dist(value,mean,sd,true) percent of the population has an iq over 115.

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When the temperature is 29 degrees, 283 hot chocolates will be sold (according to this linear relationship).

To solve this problem, we can use the two-point form of a linear equation, which is given by:

y - y1 = (y2 - y1)/(x2 - x1) * (x - x1)

where x1 and y1 are the coordinates of one point, x2 and y2 are the coordinates of another point, x is the x-coordinate of the point we want to find, and y is the y-coordinate of the point we want to find.

In this case, we can use the points (54, 103) and (40, 173) to find the linear equation that relates temperature to the number of hot chocolates sold. We have:

y - 103 = (173 - 103)/(40 - 54) * (x - 54)

Simplifying this equation, we get:

y - 103 = -7(x - 54)

y - 103 = -7x + 378

y = -7x + 481

Now we can use this equation to find the number of hot chocolates sold when the temperature is 29 degrees. We have:

y = -7(29) + 481

y = 283

Therefore, when the temperature is 29 degrees, 283 hot chocolates will be sold (according to this linear relationship).

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Answer:

x = 51

Step-by-step explanation:

x = 180 - (2x - 8) - (180 - 153)

x = 180 - 2x + 8 - 27

3x = 180 - 27

3x = 153

x = 51

Answer:

80.5

Step-by-step explanation:

2x-8 + x =153