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Laura gets a job at Costco to make extra money during the holidays and will get paid $15 an hour. She also gets a $100 bonus for agreeing to start right away! Create an equation, table, and graph to represent this situation. Define your variables!

The value of x and y in equations 17x - y = 40 and 2x + 4y = 50 are x = 3 and y = 11.

What is equation ?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used.

17x - y = 40  ⇒ (1)

2x + 4y = 50 ⇒ (2)

(1)* 4

68x - 4y = 160

Adding equation (1) and (2)

68x - 4y = 160

2x + 4y = 50

⇒ 70 x = 210

        x = 3

Substituting the value of x in equation (1)

17*3 - y = 40

51 - y = 40

-y = 40 - 51

-y = -11

y = 11

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Answer:

61.1

Step-by-step explanation:

Here, we simply add the two numbers together.

25+36=61

0.5+0.5=1

so, the answer is 61.1

Answer:

3/20

Step-by-step explanation:

[tex]\frac{0.3}{2}=\frac{0.3*10}{2*10}=\frac{3}{20}[/tex]

Answer:

Let the total number of people in the group=x

So total number of men =3x/8

Hence total number of women=5x/8

No. of men having brown eyes=2/3*3x/8=x/4

Total no. of people having brown eyes=3x/4

No.of women having brown eyes

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

No. of women who don't have brown eyes= 5x/8-x/2 = x/8

So the fraction is x/8x= 1/8

Step-by-step explanation:

Answer: 28 children

A ratio has two or more numbers that symbolize relation to each other. Ratios are used to compare the numbers, and you can compare them using division.

First, we would need to figure out the total number of students. To do this, we can divide 84 by 3, then add that to the total.

84 ÷ 3 = 28

28 + 84 = 112

This means that there are 112 students in the classroom.

If 3/4 of the children in the school have blue eyes, we know that 1/4 of the children will have brown eyes. We can convert 1/4 into a decimal, or into a percentage, to get the number of children with brown eyes.

1/4 = 0.25 = 25%

To figure out how much 25% of 112 is, we can simply multiply 112 by 0.25.

112 × 0.25 = 28

So, this means that there are 28 children with blue eyes in the school.

The value of y is 130°

The angles occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.

Given here:

Horizontal and parallel lines b and c are cut by transversal a. At the intersection of lines b and a, the bottom right angle is 50 degrees. At the intersection of lines c and a, the top left angle is y degrees.

Thus the angle adjacent to the 50-degree angle will be 130

but this angle corresponds to the angle y thus y=130 as corresponding angles are equal when a transversal intersects two parallel lines

Hence, The value of y is 130°

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Answer: 0.155

Step-by-step explanation:

To find the probability of a certain event occurring in a Poisson distribution, we can use the formula:

P(k) = (μ^k * e^(-μ)) / k!

Where:

Plugging in the given values, we get:

P(5) = (9^5 * e^(-9)) / 5! = 126,441 * 0.000123 = 0.1550

So the probability of the event occurring 5 times is approximately 15.5%.

Therefore , the solution of he given problem of linear equation comes out to be x = 5.

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.

Here,

Given : 2x-4=6

To prove x =5

Thus,

We have to find the value of x

[tex]= > 2x =10\\= > x =10/2\\= > x =5[/tex]

Therefore , the solution of he given problem of linear equation comes out to be x = 5.

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Answer:

Step-by-step explanation:buordjkdkeek

Answer:

2 2/4 or 2 1/2

Step-by-step explanation:

3-1=2

3/4-1/4=2/4

2/4=1/2

Answer: y=20-2x

Step-by-step explanation:

The rate of the plane in still air is 800 km/h while the rate of the wind is 210 km/h

An equation is an expression composed of variables and numbers linked together by mathematical operations.

Let x represent the speed of the airplane in still air and y represent the speed of the wind.

Flying against the wind, an airplane travels 4720 kilometers in 8 hours. Hence:

x - y = 4720 km / 8 hr

x - y = 590    (1)

Flying with the wind, the same plane travels 4040 kilometers in 4 hours. Hence:

x + y = 4040 km / 4 hr

x + y = 1010    (2)

From both equations:

x = 800, y = 210

The speed of the airplane is 800 km/h

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The solution to the equation 8z = 4x - 32 is z = -4 and x = 8.

An equation is a mathematical statement that states that two expressions are equal. It consists of an equals sign and two expressions, one on each side of the equals sign. Equations are used to solve for the value of the unknown expressions, and can be used to solve problems in various fields such as physics, chemistry, engineering, and mathematics.

1. Start by isolating the z variable by subtracting 4x from both sides of the equation. This will give us: 8z = -32.
2. Divide both sides of the equation by 8. This will give us: z = -4.
3. Finally, substitute z = -4 into the original equation and solve for x. This will give us: 4x = 32, so x = 8.

Therefore, the solution to the equation 8z = 4x - 32 is z = -4 and x = 8.
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Complete questions as follows-
8z = 4x - 32
Please explain step by step how to solve 8z = 4x - 32.

Answer:

D

Step-by-step explanation:

3[tex]\frac{3}{8}[/tex] + 4[tex]\frac{3}{4}[/tex]  Use the common denominator of 8 Multiply [tex]\frac{3}{4}[/tex] x [tex]\frac{2}{2}[/tex]

3[tex]\frac{3}{8}[/tex] + 4[tex]\frac{6}{8}[/tex]

7[tex]\frac{9}{8}[/tex]

7 + [tex]\frac{8}{8}[/tex] + [tex]\frac{1}{8}[/tex]  Another name for [tex]\frac{8}{8}[/tex] is 1

7 + 1 + [tex]\frac{1}{8}[/tex]

8[tex]\frac{1}{8}[/tex]

The maximum number of zeros is 2, and the x-intercepts are -9, 9.

The x-intercept is where the graph crosses the x-axis.

Here, we have,

The function is given as:

y=(x+9)(x-9)^2

The above function can be rewritten as:

y=(x+9)(x-9)(x-9)

The x-intercept is the point where the graph crosses the x-axis

To determine the x-intercepts, we remove the common factors

So, we have:

y=(x+9)(x-9)

Equate to 0

(x+9)(x-9)=0

Split

(x+9)=0 and, (x-9)=0

Solve for x

x=9 & x=-9

So, the maximum number of zeros is 2, and the x-intercepts are -9, 9.

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Answer: One way to measure 3 1/6 teaspoons of salt using 1/3 -teaspoon and 1/2 -teaspoon measuring spoon is to use:

the 1/2 teaspoon measuring spoon 3 times to measure 3/2 = 1 1/2 teaspoons

and use the 1/3 teaspoon measuring spoon 6 times to measure 6 * 1/3 = 2/3 teaspoons

3 1/2 + 2/3 = 3 1/6

Another way to measure 3 1/6 teaspoons of salt using 1/3 -teaspoon and 1/2 -teaspoon measuring spoon is to use:

the 1/3 teaspoon measuring spoon 6 times to measure 6 * 1/3 = 2/3 teaspoons

and use the 1/2 teaspoon measuring spoon 6 times to measure 6 * 1/2 = 3 teaspoons

3 + 2/3 = 3 1/6

So, there are two ways to measure 3 1/6 teaspoons of salt using 1/3 -teaspoon and 1/2-teaspoon measuring spoon, one is by using 3 times 1/2 teaspoon measuring spoon and 6 times 1/3 teaspoon measuring spoon and the second one is by using 6 times 1/3 teaspoon measuring spoon and 3 times 1/2 teaspoon measuring spoon.

Step-by-step explanation:

The insurance company will pay $192, which is the asset's present value.

The sum of money required to fix your house at the cost of construction materials today, or to replace your possessions at the cost of an equivalent or comparable item today the cost of purchasing a comparable asset to replace an existing one at the going rate on the market.

To be fully insured, your dwelling limit must equal at least 80% of the rebuild value of your house. The average cost of reconstructing a home per square foot in your area can be multiplied by the square footage of your home to determine the replacement cost. Market value and replacement cost are not the same thing.

Therefore,

The distribution of cost over the course of an asset's useful life is known as depreciation. It speaks of the rate at which the value of an asset depreciates over time.

When figuring out depreciation, the original value is utilized. It does not use current market value.

Over the course of the asset's useful life, the value is distributed equally.

In this instance

Depreciation per year = Asset value ÷ Years of useful life

Depreciation per year = 288 ÷ 6 = $48

The asset has been used for 2 years

Amount depreciated = 48 × 2 = $96

Present value = Original value - Depreciation

Present value = 288 - 96 = $192

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Answer:

10

Step-by-step explanation:

[tex] \sqrt{26 {}^{2} - 24 {}^{2} }[/tex]

[tex] = \sqrt{676 - 576} [/tex]

[tex] = \sqrt{100} [/tex]

[tex] = 10[/tex]

Answer: 10

Step-by-step explanation: You can use the Pythagorean theorem which is a^2+b^2=c^2. Plug in the numbers that you already have and square them to find the answer, which is 10. Hope this helps! If you need more of an explanation pls let me know ;)

The vertex of the parabola -x² - 2x + 10 = 0 occurs at (-1,11), It is a maximum value.

Given the equation of the parabola;

-x² - 2x + 10 = 0

First, the maximum of a quadratic function occurs at;

x = -b/a, if a is negative, the maximum value of the function is f( -b/2a)

f_max(x) = ax² + bx + c occurs at;

x = -b/2a

Now, find the value of x = -b/2a

Plug in a = -1 and b = -2

x = -( -2/2(-1) )

x = -( -2/-2) )

x = -( 1 )

x = -1

Hence;

f(x) = -x² - 2x + 10

f( -1 ) = -( -1 )² - 2( -1 ) + 10

f( -1 ) = -1 + 2 + 10

f( -1 ) = -1 + 12

f( -1 ) = 11

Therefore, maximum occurs at (-1,11).

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Rising action and climax are best used to describe the narrative element of Plot.

The rising action of the novel encompasses all the developments of the characters and the dramatic events that build to the eventual climax. The most thrilling section of the story is the climax, which also marks a turning point in the plot or the objectives of the main character.

Rising action in literature refers to all the incidents that take place in a narrative leading up to the climax. The tale moves along thanks to the mounting action, which also heightens the tension and keeps us interested in what happens next. It comes after the first step of exposition in the plot.

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On solving the provided question, we can say that -  here in quadrilateral we have x + 146 + 47 + y = 360 => [tex]x= 83.5[/tex]

A quadrilateral is a four-sided polygon in geometry that has four edges and four corners. The word is a derivative of the Latin words quadri and latus (meaning "side"). Having four sides, four vertices, and four corners, a rectangle is a two-dimensional form. Concave and convex come in primarily two varieties. Additionally, there are several subclasses of convex quadrilaterals, including trapezoids, parallelograms, rectangles, rhombuses, and squares. Four straight sides make up a rectangle, which is a two-dimensional form. There are several different types of quadrilaterals, including parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.

here,

x + 146 + 47 + y = 360

2x + 193 = 360

2x = 167

[tex]x= 83.5[/tex]

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Answer:

6√2

Step-by-step explanation:

-√2×2×2 -√2×3×3×3 + 2√3×3

-2√2 - 3✓6 + 2×3

-2√2 - 3√2×2 +2 + 6

6√2

The complete table of values of the function is

x    0    1    2    3

y     0   2   5   10

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

The equation of the function is given as

y = x² + 1

The above function is a quadratic function

This is so because it has the following representation

y = ax² + bx + c

When this function is compared to the equation y = x² + 1, we have the following notations

a = 1

b = 0

c = 1

From the incomplete table of values, we have the x values to be

x = 1, 2, 3

Substitute x = 1, 2, 3 in the equation y = x² + 1

So, we have

When x = 1, y = (1)² + 1 = 2

When x = 2, y = (2)² + 1 = 5

When x = 3, y = (3)² + 1 = 10

When these values are represented on a table, we have

x    0    1    2    3

y     0   2   5   10

The above represents the complete table

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Complete question

Complete table with the Y-values for the equation y=ײ+1

x    0    1    2    3

y     0

The accumulated amount in the savings account on 21 November 2020 will be $426.63.

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

The formula for interest is written as,

I = (PRT)/100

Where P is the principal, R is the rate of interest, and T is the time.

On 4 January 2020, Thabo deposited $7,800 into a savings account. The simple interest rate agreed upon was 6.2% per annum.

The number of days from 4 Jan 2020 to 21 Nov 2020 will be given as,

Total days = 28 + 28 + 31 + 30 + 31 + 30 + 31 + 31 + 30 + 31 + 21

Total days = 322

The accumulated amount in the savings account on 21 November 2020 will be given as,

I = [$7,800 x 6.2 x (322 / 365)] / 100

I = $426.63

The accumulated amount in the savings account on 21 November 2020 will be $426.63.

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For the given value of domain and range , By observing the figure, The correct answer are options B,C and E.

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

A function's domain and range are the set of all possible inputs and outputs, respectively. A function's domain and range are crucial components. The range includes all of the function's output values, whereas the domain includes all potential input values from the set of real numbers.

domain : (x | x  3/2)

range : (-∞ , 2)

For these values, Option B , C and E holds that they exists when x  3/2 and it's output that is y exists between  (-∞ , 2).

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Answer:

9,603 ovens

Step-by-step explanation:

Given:

Last year ---> 32,010 ovens

This year ---> 30% of last year

Question:

How many ovens did they sell this year?

Work:

To find out how many ovens they sold this year, all of you have to do is just multiply 30% by 32,010, the amount of ovens they sold last year

32,010 * 0.3 = 9,603

Solution:

Easy Cooking sold 9,603 ovens this year.

Hope this helped! :D

Answer: x=0

Step-by-step explanation:

2(2)=4

4+x=4

-4 on both sides

so x=0

Answer:

B) x = 0

Step-by-step explanation:

We will get our equation in here first. Our equation is:

2 * 2 + x = 4

We simplify the multiplication giving us:

4 + x = 4

Finally, we subtract 4 from both sides to find the value of x. We get:

x = 0.

So the correct answer is B) x = 0.

Hope this helped!

Answer: 9x - 2 >= 19.

Step-by-step explanation:

The sentence can be translated into the inequality 9x - 2 >= 19.

Here is a step-by-step breakdown:

"Two subtracted from the product of 9 and a number" can be written as 9x - 2.

"Is greater than or equal to 19" can be written as >= 19.

Putting these two pieces together, we get the inequality: 9x - 2 >= 19.

Answer: 12

Step-by-step explanation: Because of the ratio we know that half of the screens will be showing action films. Half of 24 is 12, so 12 screens will be playing action.

Answer:

a = -20/13

Step-by-step explanation:

7 - 13a = 27

-13a = 20

a = -20/13

Let's check

7 - 13(-20/13) = 27

7 + 260/13 = 27

7 + 20 = 27

27 = 27

So, a = -20/13 is the correct answer!