Identify the dependent and independent variables.

To lease my car, I had to put down $2500, plus I pay $299 per month for 5 years.

On solving the provided question we can say that so SAS, the are congruent triangles

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

here,

we have to triangles

with angles as 30,60,90 and 60,60,90 respectively

and 2 sides of 7 cm each.

so SAS, the are congruent triangles

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The value if side x is 42

For a particular scale drawing, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.

Then it means

[tex]\rm 1\: ft : \dfrac{s}{k}\: in.[/tex]

All feet measurements will then be multiplied by s/k to get the drawing's corresponding lengths.

Given;

Scale factor= 12

Now, to find the value of x;

We will divide 12 by the scale factor

=12/(2/7)

=(12x7)/2

=42

Therefore, with scale factor 2/7 the side x of figure A will be 42

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The method for the rectangle is written in italic using Java as shown below

Below is a method in Java that takes a Rectangle as a parameter, sets its length to a random, even integer between 10 and 20 inclusive, and sets its width to a random, odd integer greater than or equal to 7 and less than 14.

import java.awt.Rectangle;

public void setRandomDimensions(Rectangle rect) {

   int length = (int) (Math.random() * 6) * 2 + 10; //generates a random even integer between 10 and 20

   int width = (int) (Math.random() * 4) * 2 + 7 + 1; // generates a random odd integer between 7 and 13

   rect.setLength(length);

   rect.setWidth(width);

}

Note: The method uses the setLength() and setWidth() methods of the Rectangle class to set the length and width of the rectangle to the generated random numbers.

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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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Answer:

Step-by-step explanation:

The equation of the line can be found using the two-point form:

y = mx + b

where m is the slope between the two points and b is the y-intercept.

For the given points A and B:

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

where (x1, y1) is point A and (x2, y2) is point B

m = (-1 - 7) / (-3 - 1) = -8/ -4 = 2

Next, find b using one of the points and the slope:

b = y - mx

b = 7 - 2 * 1 = 5

So, the equation of the line is:

y = 2x + 5

Answer:

let x to be john

y to be Rita and z to be Mathews

Step-by-step explanation:

x+y+z=2125....,..........i

x=3y............................ii

y+25=z......................iii

from Qnii substitute in qn i

3y+y+z=2125

4y+z=2125

-y+z=25 by eliminate z

5y=2100 by 5 both sides

y=420

z=445

x=1260

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 :)

The weight of a basket containing 60 apples was 3 1/5 kg. An identical basket containing 40 apples weighed 2 and a half kilograms. It weighs 150 pounds.

The typical weight of an apple ranges from 150 g to 250 g. A 10 g error was discovered in the weight of each apple. The average weight of apples is calculated by dividing the total number of apples by the actual weight of the apples. Consequently, 10 apples actually weigh 62 g on average. As an apple is rather little, the measurement should be in grams.

Apples have a high fiber content. About 4 grams, or 17% of the Daily Value, of this vitamin may be found in a single medium-sized apple (100 grams) (DV). We divide the mass of the element in 1 mole of the compound by the compound's molar mass and multiply the result by 100 to determine the mass percent of the element in the compound.

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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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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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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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Answer:

28

Step-by-step explanation:

52 in toatal had a drink

10 had a drink and a sandwich

5 had drink and soup

9 had all

so in total out of the 52 drinks, 24 had a drink and something

52 - 24 = 28

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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X intercept: 10/5 = 2

Y intercept: 10/-2 = -5

The x intercept is the point where the line crosses the x-axis and the y intercept is the point where the line crosses the y-axis.

To find the x-intercept, set y = 0 and solve for x. To find the y-intercept, set x = 0 and solve for y.

In this question,

1. To find x intercept, set y = 0

  5x - 2(0) = 10

  5x = 10

  x = 2

2. To find y intercept, set x = 0

  5(0) - 2y = 10

  -2y = 10

 y = -5

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Answer:

33

Step-by-step explanation:

11+44/2=11+22=33

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 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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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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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?

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 :)

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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The width of the fourth shim used by a carpenter is, 0.525 centimeter.

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

The carpenter uses four shims to fill gap that is 1.5 centimeters wide.

And, The width of three of the shims are 0.75 centimeter, 0.125 centimeter, and 0.1 centimeter.

Now, Let the width of the fourth shim used by a carpenter = x

So, We can formulate;

⇒ x + 0.75 + 0.125 + 0.1 = 1.5

⇒ x + 0.975 = 1.5

⇒ x = 1.5 - 0.975

⇒ x = 0.525 centimeter

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The cost per mile for both trips are $4.5 and $3.65

An uber ride costs $13.15 for a 3 mile trip and $18.25 for a 5 mile trip

The cost per mile for both trips can be calculated as follows

The first step is to calculate the cost of mile for the First trip

13.15= 3

x= 1

cross multiply both sides

3x= 13.15

x= 13.15/3

x= 4.5

The next step is to calculate the cost of mile for the Second trip

18.25= 5

y= 1

cross multiply both sides

5y= 18.25

y= 18.25/5

y= 3.65

Hence the cost per mile for both trips are $4.5 and $3.65

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The light from the sun takes 8 minutes 20 seconds to reach the earth.

Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time

Given here: The distance is 93,000,000 miles and the speed of light as 1.86×10⁵ miles per hour.

Now we know speed = Distance/ time

Thus we have Time taken = 93000000/1.86×10⁵

                                           = 8 minutes 20 second (approx)

Hence, The light from the sun takes 8 minutes 20 seconds to reach the earth.

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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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Answer:

f(x) = 0.5x

Step-by-step explanation:

note that each of the values in the range is half its corresponding value in the domain

- 4 ÷ 2 = - 2

- 2 ÷ 2 = - 1

0 ÷ 2 = 0

2 ÷ 2 = 1

4 ÷ 2 = 2

then

f(x) = [tex]\frac{1}{2}[/tex] x = 0.5x

Therefore , the solution of the given problem of inequality comes out to be  x=-3 or x<-3.

In mathematics, an inequality is a linking of two equations or numbers when there isn't an equal sign. Unbalance therefore precedes inequity. When two numerical values are not equal, an inequality results in a relationship between them. Egality and inequality are not the same. Where variables are not similar or equal, have used the most common symbol (). There are various inequalities that can be utilized to contrast values regardless of how small or huge they are. Switching the two sides it until variables represent all that is left can address a variety of basic inequality problems. The combination or division with low values from both sides are only a few examples of the many factors that might cause inequality. You switch sides and the left.

Here,

Given : -3x ≤ 9

=> x ≤ 9/-3

=>x ≤  -3

Thus , x=-3 or x<-3

Therefore , the solution of the given problem of inequality comes out to be  x=-3 or x<-3.

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