Black or Orange? There are 46 children going to a party. 18 will wear black costumes, 12 will wear orange costumes and some will wear both black and orange. Half of the guests will go in costumes that are neither black nor orange. How many children will wear both orange and black?

Answer:

-2 ≤ x ≤10

Step-by-step explanation:

Notice that x can never be less than -2  and can never exceed.

-2 and 10 are all inclusive  thus the last answer is not correct as it tries to leave them out

Answer:

A. vertex B

B. Side BC and BD

C. Angle EBD

Me and my Teacher did this together

Answer:

c

Step-by-step explanation:

The quadratic equation is

3x^2 - 2x - 4

using completing the square method

firstly, to solve a quadratic equation the coefficient x^2 must be 1

divide through by 3

3x^2/3 -2x/3 - 4/3 = 0

make the linear expression a perfect square

x^2 - 2x/3 = 4/3

make -2x/3 a perfect square

x^2 - 2x/3 x 1/ 2 = 4/3

x^2 - 2x/6 = 4/3

square -2x/6

x^2 -(2x/6)^2 = 4/3

add the perfect square to both sides

x^2 - (2x/6)^2 = 4/3 + (2/6)^2

(x - 2/6)^2 = 4/3 + 4/36

solve the left hand side of the equation

4/3 + 4/36

lcm is 36

4 * 12 + 4 *1 / 36

48 + 4 / 36

52/36

(x - 2/6)^2 = 52/36

find the squareroot of both sides

square root of 52 is 7.211

x = 2 + 7.211 / 6 0r 2 - 7.211 / 6

x = 9.211 / 6 or -5.211/6

x = 1.53 or -0.8685

the answer is two different rational number solutions

Answer:

C

Step-by-step explanation:

To solve this problem:

Distribute 6y (2/3x + 6k - 1/2)

What is 2/3x times 6y? Answer: +4xy

What is 6k times 6?y Answer: +36ky

What is -1/2 times 6y? Answer: -3y

Write the answers as an equation: \(4xy+36ky-3y\)

The answer is C

Hope this helps :)

Have a great day!

Answer:

not sure but -2

Step-by-step explanation: I did on calculator

The probability that they both get a red apple is, 15/28

Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The possibility that an event will occur is measured by probability.

Probability of Event = Favorable Outcomes/Total Outcomes = X/n

The probability of Ed's friend grabbing a red apple is,

= 6 red apples / (2 green apples + 6 red apples)

= 6/8

= 3/4.

Then, the probability of Ed grabbing a red apple from the remaining apples is,

= 5 red apples / (2 green apples + 5 red apples)

= 5/7.

So, the probability that both Ed and his friend get a red apple is,

= 3/4 x 5/7

= 15/28

Hence, the probability is 15/28

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Answer:

A

Step-by-step explanation:

A. (g•f)(x)= log(5x) ( 5x + 4)=5x log(5x) + 4log(5x)

The function 5x log(5x) + 4log(5x) defines (g•f)

We have given that,

A. (g•f)(x)= 5x log(5x) + 4log(5x)

B. (g•f)(x) = 5x + 4 + log(5x)

C. (g•f)(x) = 5x – 4 – log(5x)

D. (g•f)(x) = 5x log(5x) + 4

We have to determine which function defines (g•f)

Where f(x)=log(5x) and g(x)=5x+5

A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function. Functions were originally the idealization of how a varying quantity depends on another quantity.

A. (g•f)(x)= log(5x) ( 5x + 4)=5x log(5x) + 4log(5x)

(5x+4)(log(5x))=5x(log(5x))+4(log(5x))

Therefore the option A is correct.

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Answer:

8 x 2.24 = 17.92

Pls mark me brainliest

Are you trying to find the price of 1 pencils?

If Yes The Answer is below.

Answer:

0.28

Step-by-step explanation:

To find the price of 1 pencils.

Divide 2.24 by 8 which gives you 0.28

Therefore the price of 1 pencils is 0.28

Answer:

i dont understand the question can you write the rest of the question.

Step-by-step explanation:

n

Hello,

    3y + 4 < 16

⇔ 3y < 16 - 4

⇔ 3y < 12

⇔ y < 12/3

⇔ y < 4

⇒ S = ] - ∞ ; 4 [

a) P(psychology student)  = 1/3. b) P(psychology or anthropology student)  = 5/6. c) P(not sociology student)= 5/6

(a) The probability of choosing a psychology student is the number of psychology students divided by the total number of students:

P(psychology student) = 4/(6+2+4) = 4/12 = 1/3

(b) The probability of choosing a psychology student or an anthropology student is the sum of the number of psychology and anthropology students divided by the total number of students:

P(psychology or anthropology student) = (4+6)/(6+2+4) = 10/12 = 5/6

(c) The probability of not choosing a sociology student is the number of non-sociology students divided by the total number of students:

P(not sociology student) = (6+4)/(6+2+4) = 10/12 = 5/6

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Using the Central Limit Theorem, it is found that:

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1 - p)}{n}}\), as long as \(np \geq 10\) and \(n(1 - p) \geq 10\).

The estimate and the sample size are given by:

p = 0.38, n = 168.

Hence the mean is given by:

\(\mu = p = 0.38\)

The standard error is given by:

\(s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.38(0.62)}{168}} = 0.0374\)

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Answer:

56

Step-by-step explanation:

The base area will be 4 times the side length

56 units

Let be "j" the number of orders that Jessica served, "d" the number of orders that Dale served and "m" the number of orders that Milan served.

Based on the information given in the exercise, you can set up the following System of equations:

The steps to solve it are shown below:

1. Substitute the second equation and the third equation into the first one:

2. Solve for the variable "d":

3. Substitute this value into the second original equation and evaluate:

4. Substitute the value of "d" into the third equation and then evaluate:

Therefore, the answer is:

- Jessica served 23 orders.

- Dale serverd 18 orders.

- Milan served 36 orders.

The average number of hours that adults spend working each day is 8 hours and Ryan is correct because he got the average of 8 right.

We know that,

The sample mean is a statistic that is computed by taking the arithmetic mean of the values of a variable in a sample. If the sample is taken from probability distributions with a shared expected value, the sample mean is an estimator of that value.

The mean is gotten from the formula;

x' = ∑x/n

Number of hours of work per day are; 6, 7, 8, 9 and 10

Thus; sum up all of it

∑x = 6 + 7 + 8 + 9 + 10

∑x = 40

Mean is; x' = 40/5

x' = 8

Since Ryan concluded that the average is 8 hours,

Therefore,

We can say that Ryan is correct.

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Answer:

A

Step-by-step explanation:

consider the coordinates of points C and A

C (4, - 1 ) and A (- 3, 2 )

4 → - 3 in the x- direction is - 7

- 1 → 2 in the y- direction is + 3

then the translation rule is

(x, y ) → (x - 7, y + 3 )

Let x be the number of nickels that Nicholas has, y the number of dimes, and z the number quarters. Using the given information we can set the following system of equations:

Substituting the second and third equations in the first one we get:

Solving for x we get:

Substituting x=12 in the second and third equations on the board, we get:

Answer: Nicholas has 12 nickels, 27 dimes, and 36 quarters.

Answer: VM = 16

Step-by-step explanation:

Although Alex and Lauren will both step into position 4,6, they will not do it at the same time, so they will not meet.

Lauren:

Alex:

Both will step in the position 4,6, However, Lauren will be in this positon in the second 4, while Alek will do it on the second 3.

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Answer:

Step-by-step explanation:

yes

The transformation from the parent function is a translation by (a.) 2 units down, 5 units to the left

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

f(x) = x^2

g(x) = (x + 5)^2 - 2

Rewrite properly as follows

f(x) = x²

g(x) = (x + 5)² - 2

This means that

Parent function, f(x) = x²

Transformed function, g(x) = (x + 5)² - 2

First, we have the transformation to be:

From f(x) = x² to f'(x) = (x + 5)²

This means the function is translated left by 5 units

Next, we have:

From f'(x) = (x + 5)² to g(x) = (x + 5)² - 2

This means the function is translated down by 2 units

Hence, the transformation is 5 units left and 2 units down

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There will not be enough T-shirts for all the students

From the question, the given parameters are:

Number of T-shirt = 1437

From the question, we understand that the principal approximates the number of T-shirts to the nearest hundred

When the number of T-shirts is approximated to the nearest hundred, we have

Approximation = 1400

By comparison, 1400  is less than 1437

This means that the T-shirts will not be enough

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Answer:

1/160

Step-by-step explanation:

Assuming that you want to roll a 5 and then select the ace of hearts that would make this a sequence of events. In order to find the probability of this happening, you would need to multiply the probability of each of these events happening separately with one another.

Since there are a total of 6 possible outcomes when rolling a die (1,2,3,4,5,6) which rolling a 5 is only one of the options. Meaning that the probability of rolling a 5 is 1/5.

In a deck of cards, there are a total of 32 cards in the deck and only 1 of those cards is an ace of hearts. Meaning that the probability of getting the ace of hearts is 1/32. Now we simply multiply these two probabilities together to get the probability of the sequence.

1/5 * 1/32 = 1/160

After answering the presented question, we may conclude that  expressions As a result, Sarah will have E61,600 left over from her loan after purchasing 8 limos.

In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression (such as addition, subtraction, multiplication, or division) is made up of numbers, variables, and functions. It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the phrase 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +.

a) Sarah can buy 8 limousines because:

600,000 / 67,300 = 8.91

Because she cannot purchase a fraction of a limousine, the maximum number of limos she may purchase is eight.

b) To determine how much of the loan is left over, deduct the total cost of the limos from the loan amount:

8 x 67,300 = 538,400

600,000 - 538,400 = 61,600

As a result, Sarah will have E61,600 left over from her loan after purchasing 8 limos.

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the two planes will be at the same altitude of approximately 5675.48 feet after 49.45 seconds.

A plane is a flat two-dimensional surface that extends infinitely in all directions. In geometry, a plane is defined as a surface that is completely flat and has no thickness. It is often represented as a coordinate system with two perpendicular axes, usually labeled as the x-axis and y-axis.

Assuming that the two planes maintain their rates of ascent, we can use the following equations to determine when the planes will be at the same altitude:

altitude of plane A = 4000 + 33.5t

altitude of plane B = 3146 + 50.75t

where t represents time in seconds.

To find the time at which the two planes will be at the same altitude, we can set the two equations equal to each other and solve for t:

4000 + 33.5t = 3146 + 50.75tSubtracting 3146 from both sides, we get:

854 + 33.5t = 50.75t

Subtracting 33.5t from both sides, we get:

854 = 17.25t

Dividing both sides by 17.25, we get:

t = 49.45 seconds

Therefore, it will take approximately 49.45 seconds for the two planes to be at the same altitude. To find the altitude at which they will meet, we can substitute this value of t into either equation. Using the equation for plane A, we get:

altitude of plane A = 4000 + 33.5(49.45) = 5645.08 feet

Using the equation for plane B, we get:

altitude of plane B = 3146 + 50.75(49.45) = 5675.48 feet

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Answer: (5.5,17.5)

Step-by-step explanation: using the midpoint formula

Answer:

12

Step-by-step explanation:

You simply add the coefficients together.
3 + 4 + 5 = 12