A dance teacher divides 5 dance classes into 6 equal groups. Each dance class has 18 students. How many dance students are in each group

Answer: She had 27.2% correct.

Step-by-step explanation: To find the percent, we can divide the part and whole then multiply the quotient by 100. After that we'll need to convert the percent to a decimal. In mathematical terms, the formula will be,

\(\frac{part}{whole}=quotient*100\)

40% will be the part and 68% will be the whole.

Step 1.

Convert 40 into a decimal by dividing it by 100.

40 ÷ 100 = 0.4

Step 2.

Multiply 0.4 by 68.

0.4 × 68 = 27.2

Hence, she had 27.2% correct.

Let's start by the first column. The symbol ~ means negation. ~s will be the opposite of s.

Since s from top to bottom is T F T F, ~s will be F T F T(from top to bottom).

The second symbol that appears is ∧. This symbols means that p∧q is only true when both p and q are true. It needs to satisfy both of them.

From top to bottom, in the first line for ~s∧r we have ~s false and r is true, since ~s is false the combination is also false. For the second line, we have ~s true and r is true, since both are true the combination is also true. and in the last 2 elements, we have a false r which indicates both of them are also false.

This means, the second column will be F T F F(from top to bottom).

Answer:

see photo

Step-by-step explanation:

took the test

Answer:

m = 3/100

Step-by-step explanation:

211m + 16 = 4 + 611m

211m - 611m = 4 - 16

-400m = -12

m = -12/-400

m = 3/100

Answer:

this is the answer. hope you like it

plz give me brainless ans

Answer:

d

Step-by-step explanation:

Answer:

a. ⅛

b. ⅜

c. -⅜

Step-by-step explanation:

a. From 0 to -1, there are 8 equal segments. So also from 0 to 1, we have 8 equal segments.

Thus, the length of each segment on the number line would be:

1/8 × 1 = ⅛

Each segment has a length of ⅛ on the numberline.

b. From 0 to Point N, there are 3 segments of equal length.

Therefore, point N represents:

3 × ⅛ = ⅜

c. Opposite of point N would be ⅜ from 0 to the left direction.

Thus, opposite of point N = -⅜

Yes the relation is a function because each input value has only one output value

Function is a type of relation, or rule, that maps one input to specific single output.

The x circle contains the numbers -6, -1, 4, and 0. The y circle contains the numbers -2, -1, and 3.

The mapping is of numbers from x to numbers from y. There are arrows going from 6 to -1, from -1 to 2, from 4 to 3, and from 0 to 3.

Thus, we conclude that yes the relation is a function because for each element of the set X there is only one correspondent element in the set Y.

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Answer: c

Step-by-step explanation: i did the test C:

The profit for 24 sales is $64.

The profit for 24 sales, we first need to calculate the revenue and then determine the profit based on the given information.

The revenue function is given as f(x) = 5x, where x represents the number of hamburgers sold.

To find the revenue for 24 sales, we substitute x = 24 into the revenue function:

Revenue = f(24)

= 5 × 24

= 120 dollars

Now, let's calculate the profit.

The profit is $20 less than 70% of the revenue.

We can express this mathematically as:

Profit = 0.7 × Revenue - $20

Substituting the value of Revenue we calculated earlier:

Profit = 0.7 × 120 - $20

= 84 - $20

= $64

We must first compute the revenue for 24 sales before calculating the profit based on the available data.

The revenue function is denoted by the formula f(x) = 5x, where x is the quantity of hamburgers sold.

We add x = 24 to the revenue function to get the revenue for 24 sales:

f(24) = 5 x 24 = 120 dollars is the revenue.

Let's now determine the profit.

The profit is $20 below the revenue's 70%.

This may be written mathematically as:

Revenue - $20 x Profit = 0.7

Substituting the earlier determined figure of Revenue:

Earnings = 0.7 x 120 - $20 = 84 - $20 = $64

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Here are the steps to simplify the expression \(\sf\:5x\sqrt{3x} - 2x\sqrt{3x} - x\sqrt{3x} \\\):

1. Combine like terms that have the same radical term \(\sf\:\sqrt{3x} \\\):

\(\sf\:(5x - 2x - x)\sqrt{3x} \\\)

2. Simplify the coefficients:

\(\sf\:2x\sqrt{3x} \\\)

Therefore, \(\sf\:5x\sqrt{3x} - 2x\sqrt{3x} - x\sqrt{3x}\) simplifies to \(\sf 2x\sqrt{3x} \\\).

If the equation is cos x = x^3, the interval of length 0.01 that contains a root is [0.86, 0.87]

The given equation is

cos x = x^3

Move the term x^3 to the left hand side of the equation

cos x - x^3 = 0

Therefore the equation will be

f(x) = cos x - x^3

Here to find the interval of length 0.01 that contains a root, we have to use the intermediate value theorem

Plot the function in the graph

From the graph, we can see that the value of

x = 0.865

The interval of length = 0.01

Then the intervals will be 0.86 and 0.87

Therefore, the interval of length 0.01 that contains a root will be [0.86, 0.87]

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The diameter of the tree is 46000 cm

The diameter of the tree trunk is modeled by the function:

Where h represents the height of the tree in meters

When h = 50 m

Substitute h = 50 m into the given equation

The diameter of the tree is 460 m

To convert the diameter to cm, multiply it by 100

d = 460 x 100

d = 46000 cm

The diameter of the tree is 46000 cm

The expression for h(x) is,

⇒  h (x) = √(x - 2) + 4

Now, Given that;

Initially the graph f (x) is shifted horizontally to the right.

When the graph shifts to right the function then becomes

f (x) → f (x-b)

Where b is the units by which it is shifted towards right .

So, in the figure we can see that it is shifted 2 units to the right .

So, f(x) → f(x-2)

Since f(x) is,

⇒ f (x) = √x

So, f (x-2) = √x - 2

Now, the new obtained graph is again shifted vertically upward

When the graphs shifts upward;

⇒ f(x) → f(x) + b

where b is the units by which it is shifted upward

So, our obtained f(x-2) when shifted upward by 4 units so using the above given transformation of upward shift

i.e. f(x) → f(x) + b

So, Our new graph h(x) = f(x-2) + 4

⇒  h (x) = √(x - 2) + 4

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The range of the repairs to the cars is 241.

The sample variance is 11, 671.33

The sample standard deviation would be 108.03.

Range = Maximum repair cost - Minimum repair cost

= 456 - 215

= 241

Find mean :

= (422 + 456 + 401 + 215) / 4

= 373. 5

Sample variance :

= Sum of ( each repair cost - mean ) ² / (Number of cars - 1)

= ( 2, 340.25 + 6, 812.25 + 756.25 + 25, 105.25 ) / ( 4 - 1 )

= 11, 671. 33

Sample standard deviation:

= √sample variance

= √11, 671. 33

= 108. 03

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Answer: 11/9

Step-by-step explanation:

you would cross out the two 4s(using butterfly method) and make them 1s. So 11 x 1 and 1 x 9 = 11/9

Answer:

11/4 times 4/9 is 11/9

Step-by-step explanation:

We have to find,

(11/4) times 4/9

\((11/4)(4/9) = (11*4/4*9)\)

We can cancel the 4s from the numeratorand denominator to get,

\((11*4/4*9) = (11*1/1*9) = 11/9\\=11/9\)

The answer is 11/9

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

Answer:

Y=- 6

3(y-5)+2=5

multiply

3y-15+2=5

add

3y-13=5

add pos 13 to the neg 13 to

cancel it out and add +13 to 5

3y=18

divide -3 to pos 3 and 18 to cancel it out

y= -6

Answer:x=4

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

Since it's a equilateral triangle, all sides are equal

So you can do the equation 3x - 1 = 11

You then add 1 on both sides, leaving the equation as 3x = 12

You divide both sides by 3, which leaves you with x = 4

The length of AE¯¯¯¯¯ is 5√2 cm.

Since quadrilateral ABCD is a square, all four sides are congruent. Let's denote the length of one side as s. Therefore, the length of BD¯¯¯¯¯ is equal to s.

Given that the length of BD¯¯¯¯¯ is 10 cm, we can conclude that s = 10 cm.

Now, we need to find the length of AE¯¯¯¯¯. Looking at the square, AE¯¯¯¯¯ is the diagonal connecting opposite corners.

In a square, the diagonal divides the square into two congruent right triangles. We can use the Pythagorean theorem to find the length of the diagonal.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the diagonal (the hypotenuse) is the same as the side length, s.

Applying the Pythagorean theorem:

s^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

10^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

100 = 2 * AE¯¯¯¯¯^2

AE¯¯¯¯¯^2 = 50

Taking the square root of both sides:

AE¯¯¯¯¯ = √50

Simplifying the square root:

AE¯¯¯¯¯ = √(25 * 2) = 5√2 cm

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Answer:

x = -18

Step-by-step explanation:

Please tell me If I am wrong..

5 x 2 = 10 = numerator.

-9 x 2 = ? = denominator

? = -18

-9 x 2 = -18…

Follow me please. The answer is -18

Answer:

The common difference in the given sequence is 5.

Step-by-step explanation:

The common difference in the sequence is 5 because they all add by 5 each time for example 5 + 5= 10 and 10+5=15

Answer:

The table represents a nonlinear function because the rate is not constant.

Step-by-step explanation:

As shown in the picture below, the x side of the table has the same rate of change of +1. However, due to the fact that the y side does not have the same rate of change, +6 and +3, the table represents a non linear function. If the rate on the y side of the table were all the same, then this would be a Linear function.

Answer:

your answer is B

Step-by-step explanation:

Germany, Austria-Hungary, Bulgaria, and the Ottoman Empire

The revenue cycle is the process of generating revenue by providing a product or service to a customer.

It begins with the pre-service phase, when a customer inquires about the product or service, and ends with the post-service phase, when the customer is invoiced and payment is received.

The four components of the revenue cycle are pre-service, service, billing, and post-service.

Pre-service: The pre-service phase involves obtaining the necessary information from the customer, including insurance information and eligibility, to ensure proper billing and payment.

Service: During the service phase, the product or service is provided to the customer.

Billing: In the billing phase, the appropriate charges are calculated and a bill is generated and sent to the customer.

Post-service: In the post-service phase, the customer's payment is received and the revenue is recorded in the organization's accounting system.

The formula for calculating revenue is: Revenue = Price x Quantity. This formula can be used to calculate the total revenue generated from a sale of a product or service. For example, if a company sells 100 items at a price of $5 each, the formula would be: Revenue = $5 x 100 = $500.

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Find shift

f(x-6)

So

x is decreased 6 units

So

The graph will shift 6 units right

Graph attached

Answer:

shifted right

Step-by-step explanation:

Translations

For \(a > 0\)

\(f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}\)

\(f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}\)

\(f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}\)

\(f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}\)

Parent function:  \(f(x)=x^2\)

Translated 6 units to the right:  \(f(x-6)=(x-6)^2\)

a) She can make 400 milliliters of the fizzy drink.

b) The change does not affect the greatest amount of drink.

We know that the fizzy drink is 7 parts apple juice and 3 parts lemonade. And Kerry thinks that she has 280ml of apple juice and 180 ml lemonade.

If we divide the total amount of apple juice in 7 parts, then each part has:

280ml/7 = 40ml

Then we need 3 parts of 40ml of the lemonade, this is:

3*40ml = 120ml

Then the total amounf of drink fizz that she can make is:

280ml + 120ml = 400ml.

b) Now she has  160 ml of lemonade, but she needs 120 ml of it, so this change does not affect the greatest amount of fizzy drink she can make.

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Answer:

0.87%

Had to search diameter of Sun and Venus

Plz mark branliest

\(f(x) = 6. {16}^{x} \)

\(f(x) = 10. {3}^{x} \)

\(f(x) = 5. {15}^{x} \)

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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