Simplify x+3+5x to the simplest algebraic expression

Step-by-step explanation:

Jessica bought 6 notebooks for school and spent $9.66. Let p represent the amount she paid per notebook.

Part A: Write an equation to represent this situation.

let p = price per notebook

6p = 9.66

______________________________________________

Part B: Solve your equation.

6p = 9.66

divide both sides by 6:

6p/6 = 9.66/6

p = 1.61

______________________________________________

Part C: Explain your process for solving the equation.

Begin with formula in Part A.

divide both sides of the equation by 6.

because p equals the price per notebook, each notebook costs $1.61. (This does not take into account additional sales tax.)

The multiplication of  these decimal 0.004X 0.9   is 0.0036

The decimal number system is a standard system for notating integers and non-integers. It is an extension of the Hindu-Arabic number system for non-integer numbers.  The way to write numbers in the decimal system is often called decimal notation.

Decimals are numbers that consist of two parts, namely a whole number and a fraction separated by a decimal point. For example, 12.5 is a decimal number. The  decimal system, also known in mathematics as the Hindu-Arabic numeral system or the Arabic numeral system.

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Using the Fundamental Counting Theorem, it is found that Jack could be correct, if there are 6 desserts as options in the menu.

It is a theorem that states that if there are n trials, each with [tex]n_1, n_2, \cdots, n_n[/tex] possible results, each thing independent of the other, the number of results is given according to the following equation:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In the context of this problem, the parameters are found as follows:

Hence we can solve for x as follows:

5(8)(x) = N

40x = 240

x = 240/40

x = 6.

x is a positive integer, meaning that Jack could be correct, if there are 6 desserts on the menu.

The complete problem is given as follows:

"11)Jack is in a restaurant.

There are 5 starters, 8 main courses and some desserts on the menu.

Jack is going to choose one starter, one main course and one dessert.

He says there are 240 ways that he can choose his starter, his main course and his dessert.

Could Jack be correct?

You must show how you get your answer."

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Answer:

549

Step-by-step explanation:

Kim Lu, a data entry clerk, earns $12.25 per hour. She worked 36 hours last week. She also worked 12 hours at a part-time job life guarding at $9.00 per hour. What was Kim's total straight-time pay for both jobs?

12.25 * 36 = 441

12 * 9  = 108

441 + 108 = 549

Answer: It does not represent a function.

What is a function?

An expression, rule, or law which relates an independent variable to the dependent variable.

Defining Characteristic: A function will only have a single input for a single output.

For the input 0, there are 2 outputs, 5 and -5

Therefore, the set of ordered pairs does not represent a function.

Answer:

11x+4

Step-by-step explanation:

To do this, we can substitute 3x+10x for f(x) and 2x-4 for g(x), and we get 13x-(2x-4). By distributing the negative to 2x-4, we just swap the signs, and get 13x-2x+4, which equals 11x+4

Also, is there supposed to be an exponent on the first f(x)? I'm not sure because I haven't seen the real problem.

(Otherwise it would just be f=13x.) Maybe try being a little more clear when asking a question :)

Please let me know if you need more help or explanation on another problem!

The equation is solved below.

What is an equation?

A mathematical equation is a calculation that uses the identical sign to represent the equivalency of two variables. The definitions of the word equation and its cognates in various languages might vary slightly. For instance, in French, an equation is defined as having one or more variables, but in English, the equation would be any well-formed solution that comprises two variables linked by the assignment operator. Finding the values of the variables that result in the equality is the first step in solving an equation with variables. The unidentified variables are considered as the parameters for which the equation must be calculated, and the unknown perfect blend of shades that fulfill the equivalence are known as the equation's answers. Equations come in two varieties: assumptions and conditioned equations.

Given equation

r=3g + 3w

or, 3g = r - 3w

or, g = (r - 3w)/3

or, g = r/3 - w

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Answer:

[tex]\sf x = + \dfrac{5}{3}i ; \ \dfrac{-5}{3}i[/tex]

Step-by-step explanation:

     9x² + 25 = 0

              9x² = -25

                [tex]\sf x^2= \dfrac{-25}{9}\\\\ i^2 = -1 \\\\x^2=\dfrac{25}{9}i^2\\\\x=\sqrt{\dfrac{25}{9}i^2}\\\\[/tex]

                [tex]\sf x = \± \dfrac{5}{3}i[/tex]

Answer:

x = ±(5/3)i

Step-by-step explanation:

- Consider a general quadratic equation ax² + bx + c = 0

- Using the bulldozer method;

[tex]{ \tt{x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} }} \\ [/tex]

- Relating 9x² + 25 = 0

[tex]{ \tt{x = \frac{ - 0 \pm \sqrt{ {0}^{2} - (4 \times 9 \times 25)} }{(2 \times 9)} }} \\ \\ { \tt{x = \frac{ \sqrt{ - 900} }{18} }} \\ \\ { \tt{x = \frac{ \sqrt{ - 1 \times 900} }{18} }}[/tex]

- From complex numbers, -1 = i²

[tex]{ \tt{x = \frac{ \sqrt{ {i}^{2} \times 900} }{18} }} \\ \\ { \tt{x = \frac{30i}{18} }} \\ \\ { \tt{x = \pm \frac{5}{3}i }}[/tex]

Or:

[tex]{ \tt{9 {x}^{2} + 25 = 0 }} \\ { \tt{9 {x}^{2} = - 25}} \\ \\ { \tt{ \sqrt{x}^{2} = \sqrt{ - \frac{25}{9} } }} \\ \\ { \tt{x = \sqrt{ - 1} \times \frac{ \sqrt{25} }{ \sqrt{9} } }} \\ \\ { \tt{x = \sqrt{ {i}^{2} } \times \frac{5}{3} }} \\ \\ { \tt{x = \pm\frac{5}{3} i}}[/tex]

The most appropriate choice for linear equation will be given by -

By solving this equation, the value of n obtained is n = 2

What is linear equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Linear equation is a very important tool in solving real life problem.

Here

The given equation is

-y+2+3y-6

Now,

-y + 2 + 3y - 6=ny - 4

2y - 4 = ny - 4

2y = ny

n = 2

Value of n = 2

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The x coordinate of the point is -5, the y coordinate point is 7, and the point is located on Quadrant II.

It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).

[tex]\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|[/tex]

The coordinate point is:

(-5, 7)

As we know from the definition of the ordered double:

(x, y) represents the ordered double on the coordinate plane:

x = -5

y = 7

x < 0 and y > 0

The point is located on the Quadrant II

Thus, the x coordinate of the point is -5, the y coordinate point is 7, and the point is located on Quadrant II.

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The ratio between cups of beans and cups of rice is 10/13.

Given the recipe calls for 2 1/2 cup

covert it into proper fraction = 5/2 cups

also the recipe contains 3 1/4 cups of rice.

convert it into proper fraction = 13/4 cups.

now, 5/2 : 13/4

cross multiply.

20/26

simplify the expression.

10/13

Hence the ratio of beans to rice is 10/13.

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Answer:

No she is incorrect. 0.00001 is smaller than 0.001

Answer: Yes

Step-by-step explanation: 140 is an outlier

The required polynomial is given as [tex]4x^4y^4 + 8/3x^5y^4 + 14/3x^4y^3 + 16/3x^3y^2[/tex].

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.

Here,
According to the question,
[tex]=(6xy^2+4x^2y+7xy+8)(2/3x^3y^2)\\= 4x^4y^4 + 8/3x^5y^4 + 14/3x^4y^3 + 16/3x^3y^2[/tex]

Thus, the required polynomial is given as [tex]4x^4y^4 + 8/3x^5y^4 + 14/3x^4y^3 + 16/3x^3y^2[/tex].

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Answer:

No, because a triangle will have to add up to 180 degrees. And if the two angles are already set for both triangles, there is only one answer that will make these triangles equal 180 degrees. So no there is no way possible.

Step-by-step explanation:

Answer: $2376

Step-by-step explanation:

First, get the area of the rectangle by using the formula L * W
9 * 12 = 108 feet squared

Now, that you have the area you can multiply that since each square yard is $22 so you do

108 * 22 = 2376

Which is $2376

Answer:

The answer is 26 miles

Step-by-step explanation:

Ever .25 of an inch is 1 mile to multiply 6 by 4 and you'll get 24 and add 2 miles for the .5 .

Let's sketch the graph.

Graphs and charts are useful visual aids because they make information accessible and quick to understand. Therefore, it is not unexpected that print and electronic media frequently use graphs. When data is displayed as a graph rather than a table, it can often be easier to understand because the graph might show a pattern or comparison.

Given,

a.  Increasing slowly at a constant rate,

b. stagnating, and

c. decreasing rapidly at a constant rate

See the image below which match all the description mentioned in question.

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Answer:

Step-by-step explanation:

(a + b)² = 37

a^2 + 2ab + b^2 = 37

---

ab = 5

a = (5/b)

----

a^2 + 2ab + b^2 = 37

(5/b)^2 + 2(5/b)b + b^2 = 37

(25/b^2) + 10 + b^2 = 37

(25/b^2) + b^2 = 27

25 + b^4 = 27b^2

b^4 - 27b^2 + 25 = 0

I don't know how to factor this expression.  The roots seem complex.

The ratio of the height to the perimeter of this mural is equal to 19:65.

Mathematically, the perimeter of a mural can be calculated by using this formula;

P = 2(L + W)

Where:

Substituting the given parameters into the formula, we have;

Perimeter, P = 2(135 + 190)

Perimeter, P = 2(325)

Perimeter, P = 650 feet.

Now, we can determine the ratio of height to the perimeter as follows:

W:P = 190:650

W:P = 19:65

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Answer:

Total distance of trip = 4x +  448 miles

Step-by-step explanation:

Let x = number of hours train ride lasted

Total distance by train at an average speed of 68 mph  for x hours

= 68x miles

If x hours was the train ride, then 7- x hours must be the car ride since the total trip took 7 hours

Total distance by car at average speed of 64 mph for (7-x) hours

= 64(7-x)

= 64 x 7 - 64x

= 448 - 64x miles

Total distance by both train and car = sum of the two distances

= 68x + 448 - 64x

= 4x +  448

Here is the completed table:

Feet 3  6  9  18 21

Yard  1  2   3  6   7

The mathematical operations that would be used to solve this question are multiplication and division. Multiplication is the process that is used to determine the product of two or more numbers. Division is the process of determining the quotient of two or more numbers.

The first step is to determine the unit of conversion of yards to feet and feet to yards.

Unit of conversion of yards to feet = 9 / 3 = 3

Unit of conversion of feet to yards = 3/9 = 1/3

This means that: 1 yard = 3 feet

1 feet = 1/3 yards

3 feet =  3/3 = 1 yard

6 feet = 6 / 3 = 2 yard

6 yard = 6 x 3 = 18 feet

7 yard = 7 x 3 = 21 feet

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The radical form of the given expression [tex](3^\frac{2}{3})^\frac{1}{6}[/tex] is [tex]\sqrt[9]{3}[/tex]. So the option B is correct.

The given expression is [tex](3^\frac{2}{3})^\frac{1}{6}[/tex].

We have to express the given expression with a rational exponent as a radical expression.

As we can see that in the given expression have two power.

We firstly solve their power.

We using the Law of Power of a Power.

In this law, if any variable have a two power as [tex](a^m)^n[/tex] so their have multiplication relation between their power.

So [tex](a^m)^n=a^{mn}[/tex]

Now we solving the given expression using that rule.

The expression is [tex](3^\frac{2}{3})^\frac{1}{6}[/tex].

Simplifying the power first.

[tex](3^\frac{2}{3})^\frac{1}{6}=(3)^{\frac{2}{3}\times\frac{1}{6}}[/tex]

Now simplifying

[tex](3^\frac{2}{3})^\frac{1}{6}=(3)^{\frac{2}{18}}[/tex]

[tex](3^\frac{2}{3})^\frac{1}{6}=(3)^{\frac{1}{9}[/tex]

Since the power is [tex]\frac{1}{9}[/tex] which means variable [tex]3[/tex] have in radical.

Now expressing the simplified variable in the form of radical and the power of radical should be [tex]9[/tex].

[tex](3^\frac{2}{3})^\frac{1}{6}=\sqrt[9]{3}[/tex]

Hence, the radical form of the given expression [tex](3^\frac{2}{3})^\frac{1}{6}[/tex] is [tex]\sqrt[9]{3}[/tex]. So the option B is correct.

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Answer:

y=x2+2x-2

Step-by-step explanation:

hope this work have a nice day

Answer:

(5.5,0)

Step-by-step explanation:

You average the x's and the y's.

x:

[tex]\frac{13-2}{2}[/tex] = [tex]\frac{11}{2}[/tex] = 5.5

y:

[tex]\frac{7-7}{2}[/tex]  = [tex]\frac{0}{2}[/tex] = 0

Hey there!

[tex]2x-9=-1\\x=[/tex]

To solve, we need to add 9 to both sides of the equation:

[tex]2x-9+9=-1+9\\2x=8[/tex]

Now, we divide both sides by 2:

[tex]\frac{2x}{2} =\frac{8}{2} \\[/tex]

[tex]x=4[/tex]

Hope this helps!

Answer:

2/5(2t+125)

Step-by-step explanation:

if factorization,then this is the ans

4/5t+150

2/5(2t+125)

Answer:

55 inches

Step-by-step explanation:

x + 5x = 330

6x = 330

330/6 = 55

Answer:

f(x) = -5 *Thank gabeross for answer *

Step-by-step explanation:

There is none