Every math class is made up of 18 twelve graders and 4 eleventh graders. The twelve grades averaged a 83, on the midterm exam, and the eleventh graders averaged a 79 on the midterm exam. What was the average grade on the midterm exam for the entire class? Round to the nearest whole number.

The number of plates to make the ratio 1 : 1 is 12 and the number of comedy movies is 24

A ratio is a way of comparing two or more quantities, typically by expressing them as a fraction. The numerator of the fraction represents one quantity and the denominator represents the other. The ratio can be written in different forms, such as "a to b" or "a:b", which expresses the relationship of a to b.

In this problem, using the ratio 2:3;

Number of glasses and plates = 60

Number of plates = 2 / (2 +3) * 60

number of plates = 2 / 5 * 60

number of plates = 24

Number of glasses = 3 / 5 * 60

Number of glasses = 36

The number of plates to make the ratio 1:1 = 36 - 24 = 12

The number of plates = 12

2.

The ratio of fantasy movie to drama movie = 3 : 2

The ratio of drama to comedy = 4 : 3

The number of fantasy = 24

We will set a ratio between fantasy to drama to comedy = 3 : 2 : 2

The total number of movies ;

24 = 2/ 7 * x

24 * 7 = 2x

2x = 168

x = 168 / 2

x = 84

The number of comedy movie is;

y = 2 / 7 * 84

y = 24

The number of comedy is 24

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Answer:

14.6

Step-by-step explanation:

In the example

x =kh

k is the constant of proportionality

Answer:

using the linear combination method

Step-by-step explanation:

hope this helps

The value of the equation is A = 5.44

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = 49 ÷ 9   be equation (1)

On simplifying the equation , we get

A = 5.44

Therefore , the value of A is 5.44

Hence , the equation is A = 5.44

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Answer:

Step-by-step explanation: Hello! (Don't read this if you are taking a test, please!)

You know that the taxi will already charge $3.50.  Write that down.  You know that Jamar is riding for 7 miles.  You know that each mile costs $2.  Multiply the cost of a single mile by the amount of miles, 7.  Then you will get your answer.  I hope I helped you out!

The right side of the first equation is 78 and the right side of the second equation is -72. Both sides of the equations are constants (numbers with no variable in them)

The left side of the first equation is 2(3b+6) and the left side of the second equation is -2(6c-3). Both sides of the equations are products of a constant and a variable or a sum/difference of variables.

To find the value of b and c in the equation, you need to solve the equation.

For the first equation:

2(3b + 6) = 78

3b + 6 = 39

3b = 33

b = 11

For the second equation:

-2(6c - 3) = -72

6c - 3 = 36

6c = 39

c = 6.5

So, the value of b is 11 and the value of c is 6.5

The trigonometric identities for double angles can be used to solve for sin2x, cos2x, and tan2x.

Trigonometry is a branch of mathematics that studies the relationships between the sides and angles of triangles and circles. Trigonometry is used to calculate the measurements of angles, lengths, and areas of different geometric figures. It is also used to solve problems involving forces, motion, and velocity.

Sin2x = (2*15/17)*(-12/17) = -30/289
Cos2x = (2*15/17)*(-5/17) = -30/289
Tan2x = (2*15/17)/(-12/17) = -5/12
Since sinx = 15/17 and x terminates in quadrant 2, then x = -3π/17. The trigonometric identities for double angles can be used to solve for sin2x, cos2x, and tan2x.
Sin2x = 2*sinx*cosx = 2*(15/17)*(-12/17) = -30/289
Cos2x = 2*cosx*cosx - 1 = 2*(-12/17)*(-12/17) - 1 = -5/289
Tan2x = (2*sinx*cosx)/(cosx*cosx - sinx*sinx) = (2*(15/17)*(-12/17))/((-12/17)*(-12/17) - (15/17)*(15/17)) = -5/12

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Coupon 1 will provide more discount and hence he will use coupon 1.

Percent discount is a way to express a reduction in price as a percentage of the original price. It is commonly used in sales and promotions. For example, a 20% discount on a $100 item would reduce the price to $80.

In order to check which coupon provides more discount to the Margaret we need to check for both coupon value and the coupon whose value is greater that one we will use

coupon 1 is 15 percent of initial cost.

Coupon 1 value = (15/100) * 275

=> $0.15*275

=> $41.25

Coupon 2 value = $20

so Coupon 1 will provide more discount .

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The Golden Rule to Solve an Equation are:-

In arithmetic, an equation is a system that expresses the equality of two expressions, by connecting them with the equals signal =. The phrase equation and its cognates in different languages may additionally have subtly one-of-a-kind meanings; as an example, in French, an équation is defined as containing one or more variables, whilst in English, any well-formed method together with expressions associated with an equals signal is an equation.

solving an equation containing variables includes figuring out which values of the variables make the equality real. The variables for which the equation must be solved are also called unknowns, and the values of the unknowns that fulfill the equality are called answers to the equation. There are kinds of equations: identities and conditional equations. An identity is real for all values of the variables. A conditional equation is handiest authentic for particular values of the variables.

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It is a horizontal line which crosses the y axis at -4

The y-intercept is the point at which the graph crosses the y-axis. The most important step in graphing any function with the formula y = f(x) is finding the intercepts. The x-intercept and the y-intercept are the two possible forms of an intercept for a function. The point on the axis where a function's graph intersects it is known as the intercept.

In this equation, y=-4 which means y-intercept is -4 (i.e., c= -4) and the slope of the line is 0.

Thus, it will be a horizontal line cutting the y-axis at -4

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John syrup contains 11.1 grams of sugar

Stefanie has 18 grams of 20% syrup
John has 30 grams of 25%

Therefore the number of grams of sugar in John's syrup can be calculated as follows

18× 20/100 + 30 × 25/100

= 18×0.2 + 30×0.25

= 3.6 + 7.5

= 11.1

Hence there are 11.1 grams of sugar in John's syrup

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The correct equation to write 2 more than 3 times is 3x + 2.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Let us assume that, the number is 17 .

So,

→ Three time of x = 3 * x = 3x

then,

→ 2 more than three time of x = (3x + 2)

given that, 2 more than three time of x is equal to 17 .

therefore,

→ 3x + 2 = 17

→ 3x = 17 - 2

→ 3x = 15

→ x = 5 (Ans.)

Hence, the required number is 5 .

Verification :-

→ 2 more than three times of 5 = 17

→ 3 * 5 + 2 = 17

→ 15 + 2 = 17

→ 17 = 17 .

hence, the correct equation to write 2 more than 3 times is 3x + 2.

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There is no relation between hours studying and grades on a test. this statements would be her null hypothesis .

What is the definition of a null hypothesis?

The null hypothesis presupposes that any variation between the selected attributes you observe in a set of data is the result of chance.

                                    For instance, if the predicted profits from the gambling game genuinely equal zero, then any discrepancy between the data's average profits and zero results from chance.

The null hypothesis doesn't exist.

A null hypothesis may declare, for instance, that the population mean return is equal to zero. The null hypothesis is typically an equality hypothesis for population parameters.

                               It might be said that the alternative hypothesis is the exact opposite of a null hypothesis (e.g., the population mean return is not equal to zero).

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Answer:

Step-by-step explanation:

Per ASCE 7, the Mean Roof Height (h) is defined as the average of the roof eave height and the height to the highest point on the roof surface, except that, for roof angles of less than or equal to 10°, the mean roof height is permitted to be taken as the roof eave height

i hope it helps

Step-by-step explanation:

(a)

[tex] \frac{b + x}{3} = \frac{b - x}{4} \\ 4b + 4x = 3b - 3x \\ b = - 7x[/tex]

(b)

[tex]p = \frac{y}{1 + y \\ } \\ p + py = y \\ y - py = p \\ y = \frac{p}{1 - p} [/tex]

(c)

[tex] \frac{1}{a} = \frac{1}{b} - \frac{1}{c} \\ \frac{1}{c } = \frac{1}{b} - \frac{1}{a} \\ \frac{1}{c} = \frac{a - b}{ab} \\ c = \frac{ab}{a - b} [/tex]

Answer:

b. To express p(x) as a product of linear factors using long division, we divide p(x) by (x - 2) and get a quotient of (x + 5) and a remainder of 0. This means that p(x) = (x - 2)(x + 5)

e. To solve p(x) = 0, we set each factor equal to zero and find the solutions:

x - 2 = 0, x = 2

x + 5 = 0, x = -5

Thus, the solutions to the equation p(x) = 0 are x = 2 and x = -5.

a. To show that x-2 is a factor of p(x), we can use synthetic division or polynomial long division.

let's use polynomial long division to divide p(x) by (x-2)

p(x) = x²+x²-10x+8

| x-2 |

x²-2x+x

| -x²-x²+10x+8

--------------

0

As we can see, after dividing p(x) by (x-2) we get remainder as 0, which implies that (x-2) is a factor of p(x)

Hence, we can say that x-2 is a factor of p(x)

Step-by-step explanation:

laisha bike farthest in 1 hour

The total change in temperature from 3 PM to 8 PM is 25°C.

The first step is to calculate the temperature difference.

Temperature at 3 PM = 3°C

The temperature at 4 The period2°C

The difference = 3 - (-2) = 3 + 2 =5°C

The second step is to calculate the difference time.

Period from 3 PM to 8 PM:

To find the difference between two numbers, subtract the number with the smallest value from the number with the largest value.

So,

8-3 = 5 hours

The third step is to calculate the total temperature change.

5°C × 5 hours = 25°C.

The total change in temperature from 3 PM to 8 PM is 25°C.

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Answer:

would look like the picture down below meaning it has a ZERO slope

The equation y = (x + 1)² + 3 tells that it is quadratic equation and the equation y = 2x + 4 tells that it is a linear equation.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

The first equation is - y = (x + 1)² + 3

The second equation is - y = 2x + 4

The first equation is a quadratic equation.

To solve the first equation use the formula (a + b)² = (a² + 2ab + b²) -

y = (x + 1)² + 3

y = (x² + 2x + 1) + 3

y = x² + 2x + 4

The second equation is a linear equation y = 2x + 4.

On graphing both the equations it is seen that the first equation forms a parabola while the second forms a straight line.

Therefore, first equation is quadratic and second is linear.

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The discrete probability distribution is discussed above.

Given is discrete probability distribution.

        [tex]${\displaystyle P(X\in E)=\sum _{\omega \in A}p(\omega )\delta _{\omega }(E)} =[/tex]        

       [tex]${\displaystyle P(X\in E)=\int _{E}f(x)\,dx=\sum _{\omega \in A}p(\omega )\int _{E}\delta (x-\omega )=\sum _{\omega \in A\cap E}p(\omega )}[/tex]

Therefore, the discrete probability distribution is discussed above.

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If the spinner is fair, it means that the probability of the arrow stopping on any given color is the same. Given that there are four colors on the spinner (green, blue, purple, and yellow), we can expect the arrow to stop on green 1/4 of the time. So if the spinner is spun 300 times, we would expect the arrow to stop on green 300 times * 1/4 = 75 times.

Given that the spinner has been spun once more, the table now shows that the spinner has been spun 301 times. We can estimate the probability of it landing on purple by using the number of times it has landed on purple divided by the total number of spins.

Purple: 48/301 = 0.159 or 15.9%

If the spinner is spun another 1000 times, we can expect it to land on blue 1000 * 1/4 = 250 times approximately, this is assuming the spinner is fair.

The values of x and y for the given similar triangles are 3 and 10 respectively.

For the stated question-

Using the similarity for the triangle ABC  and DBE,

Taking the ratios of the sides.

x/9 = 4/12

x = 9/3 = 3

And,

5/y = 4/(12 - 4)

5/y = 4/8

y = 5*2 = 10

Thus, the values of x and y for the given similar triangles are 3 and 10 respectively.

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The number of gallons they buy is directly connected to the size of the propane tank: x + $3.83y = $750.

Using the equal symbol (=) to indicate equivalence, a mathematical equation is a formula that joins two statements. An equation in algebra is a statement of mathematics proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for example, the equal sign places the variables 3x + 5 and 14 apart. The relationship between two sentences on either side of a letter is described by a mathematical formula. A single variable, which also serves as the symbol, is frequently present. like in 2x - 4 = 2, for instance.

given

Let the direct variation equation

be x + $3.83y = 750,

Let the direct variation equation be x + $3.83y = 750,

The number of gallons they buy is directly connected to the size of the propane tank: x + $3.83y = $750.

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Answer: 7/6 or 1 1/6

Step-by-step explanation:

1/2+2/3= 7/6 or 1 1/6

2x2 and 3x2 which is 4/6 (multiply with 2)

1x3 and 2x3 which is 3/6 (multiply with 3)

4/6+3/6= 7/6 or 1 1/6

In class 7, a solution is typically defined as a type of mixture where one or more substances are evenly dispersed in another substance.

The substance that is being dispersed is called the solute, and the substance that it is being dispersed in is called the solvent. Solutions can be liquids, gases, or even solids, and they can be formed by dissolving a solute in a solvent.

In class 7, students learn about different types of solutions, such as:

Liquid solutions: These are solutions where the solvent is a liquid, such as sugar dissolved in water to make a sweet drink.

Gas solutions: These are solutions where the solvent is a gas, such as air, and the solute is a gas or a solid, such as the dissolved oxygen in the air we breathe.

Solid solutions: These are solutions where the solvent is a solid, such as a metal alloy, and the solute is a metal or a non-metal.

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The domain of a function is the set of all input values (or independent variables) for which the function is defined, and for which the output values (or dependent variables) are real numbers. In other words, it's the set of all the values that can be plugged into the function without resulting in an error.

The number 7 is not a function, it's a constant value. Therefore, it doesn't have a domain, as it doesn't take any input value. A domain is only applicable for a function, which takes some input and produces an output. It does not make sense to speak of the domain of a constant number.

In contrast, if you have a function like f(x) = 7, the domain of this function would be the set of all real numbers since the function will produce the output of 7 for any real value of x.

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The four rules of multiplication is explained below.

The term multiplication in math is defined as the process of when you take one number and add it together a number of times

Here we need to define the four rules of multiplication.

Here the first rule of multiplication is written as that any number times zero is always zero.

And the next rule is that any number times one is always the same number.

And the another rule is written as add a zero onto the original number when multiplying by 10.

And if the order of factors does not affect the product then switching the roles of multiplier and multiplicand results in the same answer.

Where the other rule is that products are always positive when multiplying numbers with the same signs.

And the final rule is the products are always negative when multiplying numbers with different signs.

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Answer:

The decrease in dollars is $1634

Deandre has $5966 in his bank account at the end of the year

Step-by-step explanation:

7600 times 0.215 = 1634

7600 - 1634 = 5966

The product of fractions is a fraction or an integer.

We know that the fraction is used to represent the portion or part of the whole thing.

The fraction has two parts: numerator and denominator.

The top part of fraction is numerator and the bottom part is denominator.

consider a fraction 1/8.

Here, numerator is 1, denominator is 8

When certain thing is divided into 8 equal parts then each part of is represented by fraction1/8

The multiplication of fractions is defined as the product of a fraction with a fraction or the product of a fraction with an integer or the product of a fraction with the variables.

The steps to multiply two fraction are:

First multiply the numerator with numerator

Then Multiply the denominator with the denominator

And lastly simplify the fractions, if required

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