Jesse works for an engineering firm earning $54,000 per year. Jesse is 53 years old and plans on retiring at age 65. He's considering working part-time so that he can work on another degree. His new degree would take him 3 years to earn and cost a total of $30,000. After getting the degree, Jesse will make $75,000 per year.

Therefore , the solution of the given problem of linear equation comes out to be x= 2 and y=0.

A model of linear regression is one that applies the formula y=mx+b. B is the slope, and m is the y-intercept. Despite the fact because both y and x are distinct components, the previous sentence is frequently referred to it as a "mathematical formula with two variables." Bivariate linear equations only have two variables. The application domains of linear equations have zero solutions in all cases. The equation for a solitary linear equation is Y=mx+b, where m stands for the elevation and b for the y-intercept. Y=mx+b, where m stands for slopes and b for the y-intercept, is how the equation is expressed.

Here,

Given :

=> y = 4x -8

=> 4y=4x−8 ​ or y = x -2

So,

=> y =4x-8

Thus,

=> 4x -8 = x-2

=> 3x =6

=> x =2

and

=> y = 8-8 =0

Therefore , the solution of the given problem of equation comes out to be x= 2 and y=0.

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Answer: -0.333 repeating

Step-by-step explanation:

5/9 x -3/5 = -0.3 repeating decimal

Your answer for this would be -0.333 repeating decimal, which converts to ~-1/3 ! I hope this helps lol :)

Answer:

33

Step-by-step explanation:

11+44/2=11+22=33

The table with the correct values for A, B and C is given as follows:

Black 9 36 63 90

White 13 52 91 130

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

The input and output variables for this problem are given as follows:

Then the constant k is obtained as follows:

91 = 63k

k = 91/63

k = 13/9.

Hence the equation is:

y = 13x/9.

Hence the values are given as follows:

Hence the first table is correct.

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Answer:The Fahrenheit (symbol: °F) is a unit of temperature that was widely used prior to metrication. It is currently defined by two fixed points: the temperature at which water freezes, 32°F, and the boiling point of water, 212°F, both at sea level and standard atmospheric pressure. The interval between the freezing and boiling point is divided into 180 equal parts.

Step-by-step explanation: HOPE THIS HELPS :)

Answer: 6x - 40

Step-by-step explanation:

first you time 6 times x = 6x and you can't - 40 because you don't know what x is so 6x - 40  

The time that it will take to plow the field together is 2 2/9 hours.

A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

Based on the information, this will be illustrated as:

1/4 + 1/5 = 1/t

where t = rate together

5/20 + 4/20 = 1/t

9 / 20 = 1 / t

9t = 20

Divide

t = 20 / 9

t = 2 2/9 hours.

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The length of its radius is 2. 5 Inches

A circle can be described as a shape that consists of all the points in plane that are at a equidistance from a given point, which is the center.

The diameter of a circle is defined as  the length of the line that passes through the center and also touches two points on the equidistant edges of the circle.

It is represented with the letter, 'D'

Also, the radius of a circle is  defined as the distance from the center of the circle to any of the point on the circumference of that circle.

The formula for radius of a circle is expressed s;

Radius = Diameter/2

The,

Radius = 5/2

Radius = 2. 5 Inches

Thus, the value is 2. 5 Inches

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Answer:

10/17

Step-by-step explanation:

if its given they got a B then that means you have to take how many females divided by the total number of people who got B's.

Therefore, 20/34.

Which can simplified to 10/17.

The mathematical words describe (x−2) are term, factor, difference, constant, and  coefficient

An mathematical expression is a combination of numbers, symbols, and operations that represent a value or a relationship between values.

Mathematical words that describe (x−2) in the expression 4(x−2)+1 include:

Term: A term is a single number, variable, or the product of a number and one or more variables. In this expression, (x−2) is a term.

Factor: A factor is a number or algebraic expression that divides another number or expression without a remainder. In this expression, (x−2) is a factor, since 4 divides it without a remainder.

Difference: A difference is the result of subtracting one number or expression from another. In this expression, (x−2) is a difference, since it is the result of subtracting 2 from x.

Constant: A constant is a number or expression that has a fixed value. In this expression, (x−2) is a constant, since its value is fixed even when x changes.

Coefficient: A coefficient is a numerical factor that multiplies a variable. In this expression, 4 is the coefficient of (x−2).

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The number of children in each group is 6.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

A kindergarten class has 24 children.

The teacher wants them to get into 4 equal groups.

That means,

the number of the children in a group,

= total number of children / number of groups

= 24 / 4

= 6

Therefore, the number of children in a group is 6.

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Answer:

D

Step-by-step explanation:

Let's say the number of adults who brought 3 children each is x. So the number of adults who brought 2 children each is 100-x.

Then the total number of children is 3x + 2(100-x) = 300 + x.

The total amount of money made from adults is 60 * 100 = 6000.

The total amount of money made from children is 30 * (300 + x) = 9000 + 30x.

So 6000 + 9000 + 30x = 25800

=> 15000 + 30x = 25800

=> 15000 = 25800 - 30x

=> 15000 = 25800 - 30x

=> 30x = 10800

=> x = 360

So the number of adults who brought 3 children each is 360 and the number of adults who brought 2 children each is 100-360 = -260 (which is not possible).

So the answer is D) None of these.

To solve the problem, set up equations using the given information. Substitute the value of one variable into the other equation to solve for both variables. Then use the values to find the number of children and adults.

To solve this problem, we can start by setting up equations based on the given information. Let's denote the number of adults as A and the number of children as C. We know that each adult brought either 3 children or 2 children, resulting in a total ticket sales of R25800.

So we can set up the following equation: 30C + 60A = 25800.

We also know that there were 100 adults. If each adult brought 3 children, then the total number of children would be 3 times the number of adults: C = 3A.

Substituting the value of C from the second equation into the first equation, we get 30(3A) + 60A = 25800. Solving this equation will give us the values of A and C.

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The equation:

x = y - 2/9

Does not show a direct variation.

A direct variation between two variables x and y can be written as:

y = k*x

Where k is a constant and it is called the constant of proportionality.

In this case, the given equation is:

x = y - 2/9

We can rewrite that as:

y = x + 2/9

Where you can see we have a constant term equal to 2/9, so no, this is not a direct variation, as in the direct variation there is no constant term.

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By virtue of the characteristics of integer exponents, y^(-1/4) is a radical exponent. It is possible to contrast phrases and expressions.

Mathematicians can multiply, divide, add, or subtract. An expression is structured as follows: Number/variable, mathematical operator, and expression Numbers, variables, and functions make constitute a mathematical expression. It is possible to contrast phrases and expressions. the practice of expressing one's opinions or demonstrating one's feelings by words or deeds: As a sign of his affection, he penned her a poem.

given

y^3/4 / y^1/2

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

y ^( 3/4 - 1/2)

y^(-1/4)

By virtue of the characteristics of integer exponents, y^(-1/4) is a radical exponent. It is possible to contrast phrases and expressions.

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In a frequency table, the frequency at which each value appears in a data collection is used to summarise the data set.

In a frequency table, the frequency at which each value appears in a data collection is used to summarise the data set. The frequency of data over a number line is depicted on a graph called a line plot. Data that is arranged numerically is referred to as organised data.

A line plot is a graph that shows information as dots or checkmarks above a number line, indicating the frequency of each value. The line plot, for instance, displays the quantity of ribbons in this case, broken down by length. Line graphs and plots of lines are frequently mistaken. Compared to a line graph, a line plot is distinct.

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A practical formula for determining how much debt an individual or household should take on is known as the 28/36 rule

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The equation that represents the given situation is; 10 + 2.25x = 39.25

The following are in the question;

One time donation = $10

Hourly donation = $2.25

Total donation = $39.25

Number of hours = x

Thus, the required equation is:

10 + 2.25x = 39.25

Solving for x:

Subtract 10 from both sides;

2.25x = 39.25 - 10

2.25x = 29.25

x = 29.25/2.25

x = 13

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The volume of water in container B to the nearest tenth of a cubic unit is 20.1 cubic units

This talks about the quantity or the amount of water the container B can hold after container A has been emptied.

We should note here that the volume of water in container B is the same quantity of water in container A.

This implies that  Volume = πm(20)²(16)

Volume = 22/7 * 400 * 16

Volume = 140800/7

Therefore, the volume of water B can contain is 20.1 cubic units

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Complete question:

Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of  20 feet and a height of 16 feet. Container B has a diameter of 18 feet and a height of  18feet. Container A is full of water and the water is pumped into Container B until Container A is empty. After the pumping is complete, what is the volume of water in container B to the nearest tenth of a cubic unit?

The average change per unit of time when the value of the function f(x) on the interval [4, 12] is shown in the table is 128/7, or 18.29.

Volumes and their variances, equations and parts, shapes and their placements, and locations where they can found are all included in the study of mathematics. The relationship between one group of stimuli, each of which has a related output, is referred to as a "function." A function is a relationship between the inputs and outputs where each input produces a single, unique result. Every function has a domain but a codomain, often known as a scope. F is typically used to signify functions (x). An x is the input. Based on the following criteria, there are four primary categories of functions that are available: on functions, yet another functions, so several functions, within functions, and then on functions.

given

The slope of the line connecting the two locations represents the average rate of change.

The formula provides that information.

m = (y2 -y1)/(x2 -x1) (x2 -x1)

m = (251 -123)/(14 -7) = 128/7 = 18 2/7 ≈ 18.29

The average change per unit of time when the value of the function f(x) on the interval [4, 12] is shown in the table is 128/7, or 18.29.

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The variable mappings that satisfy all component equations are the solutions of systems of equations, or the points where the components of these equations overlap.

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

The variable mappings that satisfy all component equations are the solutions of systems of equations

, or the points where the components of these equations overlap.

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Answer:

Step-by-step explanation:

Hi! To do this problem, you have to add 12 to both sides to get x by itself since you want to find what x equals.  What you do is: x - 12 + 12 = 65 + 12.  You would get x = 65 + 12.  Find what 65 + 12 is and you will get your answer.  I hope this helps!

The range of the function for the given domain is the one in option D.

{0, 6, 12, 18, 24}

Here we want to find the range of the function:

f(x) = 12 - 3x

For the domain  {-4, -2, 0, 2, 4}

To find the range, we just need to evaluate the function f(x) on all the values of the domain, we will get:

f(-4) = 12 - 3*(-4) = 24

f(-2) = 12 - 3*-2 =  18

f(0) = 12  -3*0 = 12

f(2) = 12 - 3*2 = 6

f(4) = 12 - 3*4 = 0

So the range is just the set of these values {0, 6, 12, 18, 24}

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Answer:

D

Step-by-step explanation:

the area (A) of Δ CDE is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

here b = 8 and h = 6 , then

A = [tex]\frac{1}{2}[/tex] × 8 × 6 = 4 × 6 = 24 cm²

Δ CDE and Δ ABCare similar ( AA postulate )

given the scale factor of 2 similar figures is k

then the factor of their areas is k²

here the scale factor k of the 2 triangles is the ratio of corresponding sides , Δ CBA to Δ CDE , then

k = [tex]\frac{AB}{CD}[/tex] = [tex]\frac{12}{8}[/tex] = 1.5

then the ratio of their area is 1.5² = 2.25

that is area of Δ ABC is 2.25 times area of Δ CDE

area o Δ ABC = 2.25 × 24 cm² = 54 cm²

then 54 cm² - 24 cm² = 30 cm²

Thus

area of Δ ABC is 30 cm² greater than Δ CDE

Answer:

Check the questions comments

Step-by-step explanation:

A graph of the solution to this system of inequalities on a coordinate plane is shown in the image attached below.

In order to to graph the solution to the given system of inequalities on a coordinate plane, we would use an online graphing calculator to plot the given system of inequalities and then take note of the point of intersection;

y > 2x + 4

x + y ≤ 6

Based on the graph (see attachment), we can logically deduce that the solution to the given system of inequalities is the shaded region and the point of intersection of the lines on the graph representing each, which is given by the ordered pair (2/3, 16/3) or (0.667, 5.333)

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The correct radical form of b^1/5 is 5^√b.

Square root and nth roots are represented by the symbol "radical," which. a square root is a component of a radical expression, which is an expression.

A number's or an algebraic expression's simplest radical form is referred to as this. When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.

When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.

Explanation:

Convert to radical form using the formula

a^x/n=n^√a^x

5^√b.

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Answer:

B.CD

Step-by-step explanation:

they connect at