PLEASE I NEED AN ANSWER QUICKLY
Let c = children's and a = adults.
Mathland Theatre charges $5.00 for children's tickets and $9.00 for adult tickets. One night the theatre sold 290 tickets and took in $2250. How many of each type of ticket were sold?

The 20th percentile of the given data set is 22.

The following formula can be used to calculate the 20th percentile of the ordered data set:

(n+1)P = k

where n denotes the number of observations in the data set, P denotes the desired percentile (in decimal form), and k denotes the position of the kth observation corresponding to the desired percentile.

For the given data set, n = 8, P = 0.20, resulting in:

(8 + 1) * 0.20 = 1.6

Because k is not a whole number, we must use interpolation to determine the precise value of the 20th percentile.

This is accomplished by multiplying the decimal portion of k (0.6) by the difference between the first and second observations (24 - 19 = 5), then adding the result to the first observation (19).

0.6 * 5 + 19 = 22

So, the 20th percentile of the given data set is 22.

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Answer:

$18234

Step-by-step explanation:

Answer:

10 problems.

If she did 6/7 incorrectly, 1 was wrong 4-1 = 3

Then, add 3 to 7 and get 10

Answer:

28 problems

Step-by-step explanation:

If 6/7 were incorrect than 1/7 were correct.

1/7 = 4

4 x 7 = 28

28 problems

Hope this helps and have a have a great day!

Answer:

The average rate of change for the given function, from x = −3 to x = 7 will be:

Step-by-step explanation:

Given the table

x                      f(x)

-3                     50

3                      10

7                       0

As the interval is from x = -3 to x = 7.

so

at x₁ = -3, f(x₁) = 50

at x₂ = 7,  f(x₂) = 0

Using the formula to determine the average rate of change at which the total cost increases will be:

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]

                       = [0 - 50] / [7-(-3)]

                      = [-50] / [7+3]

                      = -50 / 10

                      = -5

Therefore, the average rate of change for the given function, from x = −3 to x = 7 will be:

To simplify this expression you combine like terms, by adding or substracting coefficients of similar terms.

Similar terms:

-4x-8x= -12x

5y-2y+12y= 15y

Then, you get the next expression:

(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.

(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.

(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:

- Servings of Campbell's Pork & Beans: 4 servings.

- Slices of "lite" rye bread: 15 slices.

By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).

Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.

(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:

- Number of slices of bread (Bread): A divided by 4.

- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).

Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.

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The inverse of the equation is determined as \(y = \log_{6}(-3x)\).

option D is the correct answer.

The inverse of the equation is calculated by applying the following method;

The given equation;

y = - 6ˣ/3

The inverse of the equation is calculated as;

multiply through by 3

\(-3x = 6^y\)

Take the logarithm of both sides of the equation with base -6:

\(\log_{6}(-3x) = y\)

Finally, replace y with x to obtain the inverse equation as follows;

\(y = \log_{6}(-3x)\)

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By applying the segment addition postulate, the value of v = 7

DC + CE = DE

\(DC = 2v-15\\\\CE = 3v-8\\\\DE = 27\)

\((2v-15) + (3v-8) = 27\)

\(2v-15 + 3v-8 = 27\)

\(5v - 23 = 27\)

\(5v - 23+ 23 = 27 + 23\\\\5v = 50\)

v = 10

Therefore, using the segment addition postulate, the value of v = 10

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The expression 2 - 5(x - 1) is a linear expression

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

2 - 5(x - 1)

The general rule is that

Using the above as a guide, we have the following:

2 - 5(x - 1) is a linear expression

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Answer:

The coreect answer o

is 14

Answer:

68% of the data points lie between 10 and 18.

Step-by-step explanation:

one standard deviation to left of mean = 14 - 4 =10

one standard deviation to right of mean = 14 + 4 = 18

68% of data is in this region.

so the answer is 68% of the data points lie between 10 and 18.

Answer:

k=

−2.75x2+3xy−5.5x−y/x

Step-by-step explanation:

Hi! so i see you need help with this problem let me help you and guide you through the steps :]

Let's solve for k.

k= y/x

(3x−1)−2.75(x+2)

Step 1: Multiply both sides by x.

kx=−2.75x2+3xy−5.5x−y

Step 2: Divide both sides by x.

kx/x

=

−2.75x2+3xy−5.5x−y/x

k=

−2.75x2+3xy−5.5x−y/x

Answer:

k=

−2.75x2+3xy−5.5x−y/x

Answer:

jeremy washed:

3/8 * 16 = 6 plates.

Therefore, Jeremy washed 6 plates.

Step-by-step explanation:

Answer: straight up just 6.... i aint got nothin else to tell ya just 6

Answer:

Prism A

Step-by-step explanation:

5 times 4 times 4 is 100

7 times 3 times 3 is 63

The difference is 17

Answer:

1. (10,-4)

2. 12

3. 108

Step-by-step explanation:

First find the cordinate by seing were the point lands on the graph

sense it is +10 right the x = 10, and it is 4 below the origin making it a negitive 4, so u get (10,-4)

The graph is measured 2 units per box and sence the sides are parallel to the axies you can count each square by 2, giving you the measuers of 12 units.

Now finally, The area of a triangle is A=1/2bh, we arlready have our base, and we just found our hight, so now we just have to plug it in.

A= 1/2 (12) (18)

12*18 = 216

A= 1/2 (216)

A= 108

And we are done!

Answer:

8/11, 7/9, 4/5, 84% these are the answers to your question

The coordinates of the triangle P'Q'R' is P'(x, y) = (- 4, - 1), Q'(x, y) = (- 2, - 2) and R'(x, y) = (1, 1), respectively.

In this problem we know the three vertices of a triangle on a Cartesian plane and we must determine the coordinates of its image by applying rigid transformations. According to the statement, the vertices of the image are obtained by applying a translation formula:

P'(x, y) = P(x, y) + T(x, y)        (1)

Where:

If we know that P(x, y) = (2, - 4), Q(x, y) = (4, - 5), R(x, y) = (7, - 2) and T(x, y) = (- 6, 3), then the coordinates of the vertices of the image are:

P'(x, y) = (2, - 4) + (- 6, 3)

P'(x, y) = (- 4, - 1)

Q'(x, y) = (4, - 5) + (- 6, 3)

Q'(x, y) = (- 2, - 2)

R'(x, y) = (7, - 2) + (- 6, 3)

R'(x, y) = (1, 1)

The coordinates of the triangle P'Q'R' is P'(x, y) = (- 4, - 1), Q'(x, y) = (- 2, - 2) and R'(x, y) = (1, 1), respectively.

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The total value of the loan with quarterly compounded interest is approximately $45,288.38, while the total value of the loan with monthly compounded interest is approximately $45,634.84. The difference in total interest accrued is approximately $346.46.

Part A: To determine the total value of the loan with quarterly compounded interest, we can use the formula for compound interest:

A = P(1 + r/n)^(nt),

where:

A is the total value of the loan,

P is the principal amount (initial loan amount),

r is the interest rate (in decimal form),

n is the number of times interest is compounded per year,

and t is the number of years.

Given:

P = $20,000,

r = 9% or 0.09,

n = 4 (quarterly compounding),

t = 10 years.

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/4)^(4*10).

Calculating this value, we find:

A ≈ $45,288.38.

Therefore, the total value of the loan with quarterly compounded interest is approximately $45,288.38.

Part B: To determine the total value of the loan with monthly compounded interest, we follow the same formula but with a different value for n:

n = 12 (monthly compounding).

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/12)^(12*10).

Calculating this value, we find:

A ≈ $45,634.84.

Therefore, the total value of the loan with monthly compounded interest is approximately $45,634.84.

Part C: The difference between the total interest accrued on each loan can be calculated by subtracting the principal amount from the total value of each loan.

For the loan with quarterly compounding:

Total interest = Total value - Principal

Total interest = $45,288.38 - $20,000

Total interest ≈ $25,288.38.

For the loan with monthly compounding:

Total interest = Total value - Principal

Total interest = $45,634.84 - $20,000

Total interest ≈ $25,634.84.

The difference between the total interest accrued on each loan is approximately $346.46.

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The area of the space available for onions is:n12 square feet - 0.12x square feet. number of onion bulbs Mark can plant is: (12 - 0.12x) / y

What is percentage?

Percentage is a way of expressing a number or proportion as a fraction of 100. It is represented by the symbol "%".

Mark has marked off a certain percentage of the 12 square feet to save for a tomato plant, which means the remaining space will be used for onions.

Let's say Mark marks off x% of the space for the tomato plant. That means he will have (100-x)% of the space for onions.

The area of the space reserved for the tomato plant is:

12 square feet x (x/100) = 0.12x square feet

The area of the space available for onions is:

12 square feet - 0.12x square feet

Let's say each onion bulb needs y square feet of room to grow. Mark can plant as many onion bulbs as can fit in the remaining space, which is:

(12 square feet - 0.12x square feet) / y

So the number of onion bulbs Mark can plant is:

(12 - 0.12x) / y.

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Answer:

15 x /2

Step-by-step explanation:

Answer:

(j - 4) - 7

Step-by-step explanation:

[] Underlined means that part of the sentence was turned into an expression in the next step

what is 7 less than the difference between j and 4

what is 7 less than the (j - 4)

(j - 4) - 7

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

The mean score of all of these students together, rounded to 1 decimal place is 84.3

What is the mean score in each case?

The mean score in each test taken is the total scores of all students that took the test divided by the number of students, in essence, the total score is determined as the mean score multiplied by number of students

total score for 57 students=87.1*57

total score for 57 students= 4,964.7

total score for 10 students=68.6*10

total score for 10 students=686.0

mean score of all of these students together=(4,964.7+686.0)/(57+10)

mean score of all of these students together= 84.3

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Answer:

same problem with me.That's what happened

Answer:

The simplified expression is,

\(2a^2 +12a +1\)

Step-by-step explanation:

\(3a^2 + 8a+5-a^2+4a-4\\3a^2-a^2+8a+4a+5-4\\2a^2 +12a +1\)

The commutative property of addition is not used. Therefore, option A is the correct answer.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

We know there are three types of properties they are associative property which is (a+b) + c = a + (b+c), Distributive property which is a(b+c) = ab + ac, Commutative property which is a + b = b + a.

Given (x+2).5 - 7.

5.(x+2) = 7               (it is commutative property of multiplication).

= (5x + 10) - 7           (It is distributive property).

= 5x + (10 - 7)           ( it is associative property of addition).

= 5x + 3

Therefore, option A is the correct answer.

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Based on the maximum taxable amount for social security in 2009, and the social security tax rate, the social security tax that Larry paid was $7,347.

The total amount paid by Larry as Social security tax can be found as;

= Maximum amount allowable for social security tax x Social security tax rate

The social security tax rate was 6.2% not 62.2%.

The social security tax was therefore:

= 118,500 x 6.2%

= $7,347

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