I need the answers, please. It's due today.

Answer the following questions:


1. In a kitchen, the combined number of plates and glasses is 60. If the ratio of the number of plates to glasses is 2 ∶ 3, how many plates should be added so that the ratio of plates to glasses is 1 ∶ 1?


2. Fred has a collection of movie CDs. The ratio of fantasy movies to drama movies is 3 ∶ 2. The ratio of drama movies to comedy movies is 4 ∶ 3. If Fred has 24 fantasy movie CDs in his collection, how many comedy movie CDs does he have?

Answer: 35 miles.

Step-by-step explanation: 3+4 = 7

Answer:

it is b the 2 one

hope you like it

Answer:

[tex]\dfrac{6}{\sqrt{2}}[/tex]

Step-by-step explanation:

For a square of side a, the diagonal is a√2

This is because the diagonal and the two sides of the square form a right triangle

By the Pythagorean theorem, diagonal d = √(a² + a²) = √2a

Since we are given the diagonal as 6 we have

6 = √2 · a

[tex]\sf{Or\; a =\dfrac{6}{\sqrt{2}}[/tex]

The answer you have selected is right

There are a probability of 6 different possible combinations of the gift bag with a bouncy ball, ticker, and cookie. These combinations include a red bouncy ball, an iri, lily, or daiy ticker, and either a chocolate chip or oatmeal cookie.

There are a total of 6 different possible combinations of the gift bag with a bouncy ball, ticker, and cookie. These combinations include a red bouncy ball, an iri, lily, or daiy ticker, and either a chocolate chip or oatmeal cookie. The red bouncy ball offers a vibrant and exciting option, while the iri, lily, and daiy ticker add a fun element of surprise. The two cookie options offer something delicious and comforting to enjoy. With all of the different combinations, there is something for everyone to enjoy! Each combination offers a unique and special gift bag that will be sure to bring a smile to anyone's face.

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The standard form of polynomial is to write the polynomial so that the term with the highest power of the variable comes first, followed by the other terms in order of descending powers of the variable.

A polynomial in standard form requires that the polynomial be written in descending order of exponents. Polynomials are written in standard form for ease of computation. A polynomial is in its canonical form when it is expressed with the highest order term first, followed by the higher order terms, and so on. For example: 14x⁴ - 5x³ - 11x² - 11x + 8. You can see that in this standard form polynomial, the exponents are ordered in descending powers. These algebraic equations are called polynomials. Procedure for writing polynomials in standard form:

The normal form polynomial of degree 'n' is : aₙxⁿ + aₙ₋₁ x⁽ⁿ⁻¹⁾ + ... + a₁ x + a₀

Let us assume a polynomial, p(x) = x² + 8x - 9 + 7x³ - 6x + x⁴ , using the above steps we can write the standard form of p(x).

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To the power of 5, 0 ​is 1 . Any power with a value of 0 yields a response of 1. [tex]5^0[/tex] = 1 can be used to represent 5 to the power of 0.

Because 1*x = x for any other number x, the number 1 is the multiplicative identity. Due to the fact that every integer raised to the power of zero is just the sum of zeroes, or the multiplicative identity, 1, any number raised to this power is one.

The value 0 to the power 0 cannot have any values since they would conflict. In this way, 0 to the power 0 is undefinable. Reverse values are indicated by negative exponents. A negative power of a number is one more than the positive opposite power of the same number. Negative zero is a mathematical nonsense. the sign bit of a binary integer is set to 1, and all other bits are set to zero.

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The current weight of Aadan's dog is approximately 26.67 kg.

What is weight ?

Weight is a measure of the force of gravity on an object. The weight of an object is equal to the force exerted on the object by gravity. The weight of an object is typically measured in units of force such as newtons (N) or pounds (lb). On Earth, the weight of an object is equal to its mass multiplied by the acceleration due to gravity, which is approximately 9.8 m/s².

Let's call the current weight of Aadan's dog as "W".

As per the information given,

Aadan's dog was a puppy and it weighed 8 kg which is 30% of it's current adult weight.

So, 8kg = 30/100*W

We can find the current weight of Aadan's dog by solving the equation above:

8 = 30/100W

8 = 3/10W

8 = 0.3W

W = 8/0.3

W = 8/(3/10)

W = 8(10/3)

W = 8*3.333

W = 26.666 kg ( approx 26.67 kg)

So the current weight of Aadan's dog is approximately 26.67 kg.

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8kg = 30/100*W

8 = 30/100W

8 = 3/10W

8 = 0.3W

W = 8/0.3

W = 8/(3/10)

W = 8(10/3)

W = 8*3.333

W = 26.666 kg ( approx 26.67 kg)

Cross - division step

Answer:

150

Step-by-step explanation:

Given problem,

→ (3/4) × 200

Let's solve the problem,

→ (3/4) × 200

→ (3 × 200)/4

→ 600/4

→ 150

Hence, solution is 150.

The inverse function of f(x) = x^3 - 1 is f^-1(x) = (x + 1)^(1/3).

What is the inverse of a function?

An inverse function is a function that returns the original value for which a function has given the output. If f(x) is a function that gives output y, then the inverse function of y, i.e. f-1(y) will return the value x.

The inverse of a function f(x) is denoted as f^-1(x), and it is defined as the function that "undoes" f(x).

To find the inverse of a function, we need to swap the roles of x and y, and then solve for y in terms of x.

Given f(x) = x^3 - 1, the inverse function f^-1(x) is the function such that:

f(f^-1(x)) = x

f^-1(f(x)) = x

So we need to solve for x in terms of y.

x^3 - 1 = y

x = (y + 1)^(1/3)

Therefore, the inverse function of f(x) = x^3 - 1 is f^-1(x) = (x + 1)^(1/3).

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The total emails received are 546. The solution is obtained using arithmetic operations.

What are arithmetic operations?

For all the real numbers, there are four basic mathematical operations which are:

1. Addition(‘+’) wherein the sum of the numbers is obtained.

2. Subtraction(‘-’) wherein the difference of the numbers is obtained.

3. Multiplication(‘×’) wherein the product of the numbers is obtained.

4. Division(‘÷’) wherein the quotient of the numbers is obtained.

Let the total emails received be 'x'.

We are given that for every 20 total emails a person received, they could expect to get 11 spam emails.

Now, a person received 300 spam emails in one month

So, the total emails received will be

⇒x = 20*300/11

⇒x = 545.45

⇒x = 546 (approx)

Hence, the total emails received are 546.

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The probability that the described situation could occur as required in the task content is; 1 / 100.

It follows from the task content that the you selection is done such that there's replacement.

Since the treasure chest contains 10 different toys, the probability of selecting a crazy straw two times consecutively is;

= 1/10 × 1/10

= 1 / 100.

Ultimately, the probability that the given situation occurs as described is; 1 / 100.

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Answer:

Step-by-step explanation:

try D

The percentage of commuters that travel more than 45 minutes is 90%.

What is percentage ?

A percentage is a way of expressing a number as a fraction of 100. It is often denoted by the symbol "%" and is used to express a proportion or rate as a part of a whole. Percentages can be used to compare different quantities or to express how much one quantity has changed relative to another.

The percentage of commuters that travel more than 45 minutes is the quotient of the commuters that travel more than 45 minutes and the total number of surveyed commuters.

So, we have ,

Percentage = [tex]\frac{450}{500}%Percentage[/tex] =500450

Divide 450 by 500

Percentage = 0.9 Percentage=0.9

Express as percentage

Percentage = 90 Percentage=90%

Hence, the percentage of commuters that travel more than 45 minutes is 90%.

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7 laws of logarithms are,

1- Product rule

2- Division rule

3- Power rule/Exponential Rule

4- Change of base rule

5- Base switch rule

6- Derivative of log

7- Integral of log

logarithms

it is the exponent or power to which a base must be raised to yield a given number.

For example,

23 = 8,

therefore,

3 is the logarithm of 8 to base 2, or 3 = log2 8.

A logarithm is defined as the power to which a number must be raised to get some other values.

Logs are the other way of writing exponent. The formula for conversion between exponential and log forms is: bx = a ⇔ log b a = x. Logarithms are very useful in solving equations involving exponents.

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The degree measure of each angle in the triangle are:

m angle l = 18.4

m angle J = 57.6

m angle K = 93

What is the Degree Measure?

The degree measure, also known as an angle measure, is a way to quantify the size of an angle in mathematics. The degree measure of an angle is typically represented by the symbol "degrees" (°) or simply "deg" and it is a unit of measurement.

In a triangle, the degree measure of all angles add up to 180 degrees. Therefore, we can use this property to find the degree measure of each angle in the triangle.

m angle l = (x + 5) deg

m angle J = (4x + 7) deg

m angle K = (7x) deg

So we can use the following equation:

m angle l + m angle J + m angle K = 180

(x + 5) + (4x + 7) + (7x) = 180

12x + 19 = 180

12x = 161

x = 13.4

Hence, the degree measure of each angle in the triangle are:

m angle l = (x + 5) deg = (13.4 + 5) = 18.4

m angle J = (4x + 7) deg = (413.4 + 7) = 57.6

m angle K = (7x) deg = (713.4) = 93

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Answer: 1st term: -3.  Common difference: +4

Step-by-step explanation:

-3, 1, 5, 9, 13, 17, 21, 25, 29, 33
add 4 each time

A unit rate is a ratio that has a denominator of 1, such as miles per hour or dollars per item. To solve a complex fraction that involves a unit rate, you can follow the same steps as solving a regular complex fraction, but with an additional step to convert the final expression to a unit rate.

Factor the numerator and denominator of the complex fraction if possible.

Multiply both the numerator and denominator by the reciprocal of the fraction(s) in the denominator.

Simplify the resulting expression by combining like terms, if possible.

Check your work by multiplying the numerator and denominator of the original complex fraction by the reciprocal of the fraction(s) in the denominator, and verifying that the simplified expression you obtained is equivalent.

Divide the numerator by the denominator to get the unit rate.

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Answer:

well where is your diagram

Ben will take 5 hours to answer the module.

The problem is asking how long it will take Ben to answer the module. To discover the answer, translate the given mathematical phrase to a mathematical symbol.

According to the question,

Moira - 3 hours

Ben - Four hours less than thrice as fast as Moira

To translate the mathematical phrase into a mathematical symbol, we have to look for the signal words. The signal word "thrice" means that we have multiplied Moira's number of hours by 3 and "less than" means that you have to subtract 4 from it.

Ben = 3 *(3 hrs) - 4 hrs

       = 9hrs - 4hrs

       = 5hrs

So, Ben will take 5 hours to answer the module.

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Answer:

The two numbers are 40 and 55.

Step-by-step explanation:

Let one of the numbers be x.

Then the other number is 95 - x.

If we assume x to be larger among two of them,

⇒ x - (95 - x) = 15 (as one exceeds the other by 15)

⇒ 2x = 15 + 95

⇒ x = 110 / 2 = 55

The other number is (95 - x) which is 95 - 55 = 40

Thus, the two numbers are 40 and 55

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Answer:

Johann Peter Gustav Lejeune Dirichlet (German: [ləˈʒœn diʀiˈkleː]; 13 February 1805 – 5 May 1859) was a German mathematician who made contributions to number theory (including creating the field of analytic number theory), and to the theory of Fourier series and other topics in mathematical analysis

The value of x found using the angle addition postulate is; x = 35°

The angle addition postulate states that the measure of the angle formed by the non-common sides (rays) of two adjacent angles that have a common side is the sum of the two adjacent angles.

The measures of the angles in the document are;

The measure of angle STV is 75°

The measure of angle WTV is 40°

The measure of angle STW is x°

Please find attached a possible drawing representing the angles, obtained from the drawing in a similar question, and created with MS Word.

The angle addition postulate indicates that we get;

m∠STV = m∠STW + m∠WTV

Whereby angle ∠x is the same as the angle ∠STW, therefore, wse get;

m∠STV = x° + m∠WTV

Plugging in the values for the angles defined by the letters, we get the angles

75° = x° + 40°

x° = 75° - 40° = 35°

The measure of angle x is 35°

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No; the probability that Kimiko will win is 7/12. Because 7/12 is greater than 5/12, Kimiko has a greater chance of winning.

===========================================================

Explanation:

The prime number sums possible are: {2, 3, 5, 7, 11}

Below is the list of ways to reach those prime sums. Focus on the items in bold. The non-bolded numbers to the left are there to keep count of things.

There are 15 items in that list out of 6*6 = 36 dice rolls total.

15/36 = 5/12 is the probability of Miko winning

1 - (5/12) = 7/12 is the probability of Kimiko winning.

Those two fractions (5/12 and 7/12) aren't the same, which means the game isn't fair.

Kimiko has a better chance of winning since 7/12 is larger than 5/12.

This is why  choice B   is the final answer.

Answer:

He contributed because he was a life-changing character

Step-by-step explanation:

The passage states that u should read into the character

Answer:

D line

Step-by-step explanation:

The 4i word should be eliminated since we want (3+4i)z to be a genuine number. Then, to ensure that the imaginary terms cancel out when z is multiplied together, we can make z of the form (n-4/3 ni).

The sum is a binomial with a degree of 6 is correct about the completely simplified difference of the polynomials.

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What is true about the completely simplified sum of the polynomials 3x2y2 − 2xy5 and −3x2y2 + 3x4y?

A. The sum is a trinomial with a degree of 5.

B. The sum is a trinomial with a degree of 6.

C. The sum is a binomial with a degree of 5.

D. The sum is a binomial with a degree of 6.

Answer:

g(f(3)) = 19

Step-by-step explanation:

This would be your functions: [tex]\displaystyle{f(x)=2x^2+x-7}[/tex] and [tex]\displaystyle{g(x)=x+5}[/tex]. In order to evaluate g(f(3)), we must find the value of f(3) first which we can find by substituting x = 3 in the f(x).

[tex]\displaystyle{f(3)=2(3)^2+3-7}\\\\\displaystyle{f(3)=2\cdot 9 - 4}\\\\\displaystyle{f(3)=18-4}\\\\\displaystyle{f(3)=14}[/tex]

Therefore, g(f(3)) is basically equal to g(14), we substitute x = 14 in the g(x).

[tex]\displaystyle{g(f(3))=g(14)=14+5 = 19}[/tex]

Hence, g(f(3)) is 19.

The number zero was invented by Aryabhatta, an astronomer and mathematician from India.

As we know the origin of zero in India came from a well-known astronomer and mathematician Aryabhatta.

A number zero had been used as a placeholder number since before Aryabhatta and Brahmagupta.  In the 5th century, Aryabhatta is credited with using zero in the decimal system.

Whereas in the 7th century, Brahmagupta used zero in mathematical operations like addition and subtraction.

In India, a number zero was called ‘Sunya’, when the number reached Italy, it was named ‘Zefero’ and later it was called ‘Zero’ in English.

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Answer:

$0.12

Step-by-step explanation:

Unit price=$11.52/96(per pencil)

11.52/96=$0.12

Hope this helps

Answer:

$0.12

Step-by-step explanation:

First, you have to divide 11.52

to 96 which will be equal to 0.12.

We know how to divide because

in the question the keyword is

EACH. That's how you know when

to divide!

Hope This Helps :)

11.52÷96≈ 0.12