Alex ran 4 1/2 kilometers in 3/4 of an hour. How many kilometers he ran per hour?

To find the first term can be calculated an = a1 + d(n - 1).

The difference between every two successive terms in a sequence is the same; this is known as an arithmetic progression (AP). It is possible to obtain a formula for the nth term of the AP using this kind of development. A good example of an arithmetic progression (AP) is the series 2, 6, 10, 14,..., which follows a pattern in which each number is created by adding 4 to the previous term. The nth term in this series equals 4n-2. You may get the terms of the series by changing the nth term to n=1,2,3,... i.e.,

first term = 4n-2 = 4 when n = 1 (1)

-2 = 4-2=2

Second term for n = 2 is 4n-2 = 4. (2)

-2 = 8-2=6

When n is 3, the third term is 4n-2 (3)

-2 = 12-2=10

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The numbered choice 7 represents a value for x which will make B a function.

A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.

Given:

A relation B =  {(4,2), (5,-3), (12,4), (-3,6), (x, 7)}.

To prove that the relation is a function:

Each input value gives only one output value.

Input →  output

4 →  2

5 →  -3

12 →  4

-3 →  6

x  → 7.

So, the value of x can not be 4, 5, 12, -3.

From the options, the value of x is 7.

Therefore, the value of x is 7.

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The types of multiplication method: addition method, long multiplication, grid method, drawing lines and by splitting two digit numbers into Tens and Ones

We know that the multiplication is nothing but a method of finding the product of two or more numbers.

In case of small numbers a multiplication is considered repeated addition, and we can solve simple multiplication problems by adding repeatedly.

But in case of larger numbers, we need to do long multiplication.

Multiplication methods:

1) by Repeated Addition

Consider example 4 × 5

This means, we can solve it as by adding 4 repeatedly five times 4  4 + 4 + 4 + 4 + 4 OR by adding 5 repeatedly four times 5 + 5 + 5 + 5

2) Long Multiplication

3) grid method,

4) by drawing lines

3) by splitting two-Digit Numbers into Tens and Ones

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To plot a graph an equation starts by determining the equation's variables. Select the variables' possible ranges of values.  

Plot the equation using a graphing calculator or graphing software.

Enter the equation into the graphing calculator if you're using one. Enter the equation in the graphing software if you're using one. Modify the scale and labels of the graph to your specifications.

Draw the points on the graph by inputting the variables' values. Join the points together to create a graph.

All you have to do is change the variables in this formula to graph a linear equation. A linear equation is the simplest form of graph to create because no computations are required before drawing the graph. Draw a simple Cartesian coordinate plane.

Start at the y-intercept to plot the slope. The fraction's numerator is the rise (the number of spaces up), and its denominator is the run (the number of spaces to the side).

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the answer should be 35 songs in total

Answer:90 minutes

Step-by-step explanation:

40 dollars a month minus the 13.00 fee. 40-13=27. 27-.30=90 so 90 minutes

The vertical values or points lying on y-axis are - 0, 3, 6, 9, -3, -6.

The ordinate of a typical two-dimensional graph is referred to as the (y) coordinate, while the (x) coordinate is referred to as the abscissa.

The abscissa, also known as the x coordinate of the point, is the distance between a point and the y-axis, scaled with the x-axis. The term "ordinate" refers to a point's separation from the x-axis when scaled with the y-axis. The first coordinate in the plane (x) is referred to as the abscissa and the second coordinate (y) is the ordinate, for instance, if (x, y) is an ordered pair in the Cartesian plane.

The coordinates of the given graph are -

(0,3) (1,6) (2,9)

(-1,0) (-2,-3)(-3,-6)

From the above coordinates, the vertical values or points lying on y-axis are - 0, 3, 6, 9, -3, -6.

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Answer: The right side of the first equation is 78, and the right side of the second equation is -72. Both equations are correct.

In the first equation, 2(3b+6) = 78, if we solve for b we get b= 11.

In the second equation, -2(6c-3) = -72, if we solve for c we get c = 6.5.

Step-by-step explanation:

The first, fourth and eight terms of the given sequence are the ones in the last option.

-2, -250, -156,250

We know that the n-th term of the given sequence is given by the formula:

A(n) = -2*5ˣ⁻¹

The first term is what we get when x = 1, then the first term is:

A(1) = -2*5⁰ = -2

The fourth term is what we get when we use x = 4, we will get:

A(4) = -2*5⁴⁻¹ = -2*5³ = -250

The eight term is what we get when x = 8

A(8) = -2*5⁸⁻¹ = -2*5⁷ = -156,250

Then the correct option is the last one.

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The measure of an angle if it is five times its complement: 75 degrees

Let us assume that the complement of the angle measures m degrees.

we have been given the measure of the angle is five times its complement.

So we get the measure of the angle = 5 × m

We know that two angles are complementary when their measures add to 90 degrees.

So we get an equation, m + 5m = 90

We solve above equation to find the value of m.

m + 5m = 90

6m = 90

m = 90/6

m = 15 degrees

This means, the measure of complement of the angle is 15 degrees.

And the required angle would be,

5 × 15 = 75 degrees

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The comple question is:

What is the measure of an angle if it is five times its complement?.

Simplifying radicals is the process of reducing a radical expression to its simplest form. There are several ways to simplify radicals, but the most common method is to factor .

The number or expression inside the radical sign and extract any perfect nth root factors.For example: √36 = √(36) = √(6*6) = √(6^2) = 6

Here, 36 can be factorized into 6*6, and since 6 is a perfect square, we can simplify the radical as 6.

Another example: √100 = √(100) = √(10*10) = √(10^2) = 10

Here, 100 can be factorized into 10*10, and since 10 is a perfect square, we can simplify the radical as 10.

Another way to simplify radicals is to use the product property of radicals which states that: √(a*b) = √(a) * √(b)

For example: √(1215) = √(12) * √(15) = √(4355) = √(43) * √(55) = 2√(3) * 5 = 6√(3)

Here, 1215 can be factorized into 4355. And since 43 is a perfect square, we can simplify the radical by taking the square root of 43 and 5*5.

You can simplify radicals as much as possible by applying these methods.

It's important to note that not all radicals can be simplified completely, in some cases we can simplify the radical as much as possible but still have an irrational number inside the radical.

Simplifying radicals is a useful process in algebra and trigonometry, it helps to simplify the expressions and make calculations easier.

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(i) The required frequency is 12 for the class interval 50-60.

(ii) The mean height of students in a class is 155.3.

(iii) The median of the given data is 33.

(i)

Class Interval    Frequency f   Mid-value x         fx

0-10                          22                  5                    110

10-20                        24                  15                  360

20-30                       35                  25                  875

30-40                       30                  35                  1050

40-50                       27                  45                  1215

50-60                        m                  55                  55m

60-70                        6                   65                  390

70-80                        4                   75                  300

                            ∑f = 148+m                  ∑fx = 4300+55m

The mean of the data set shown in the table above is 31.

mean = ∑fx/∑f

Substitute the known values in the above formula, and we get

31 = (4300+55m)/(148+m)

31(148+m) = 4300+55m

4588 +31m = 4300+55m

55m - 31m = 4588 - 4300

24m = 288

m = 288/24

m = 12

Thus, the required frequency is 12 for the class interval 50-60.

(ii)The table below summarizes the data about the heights of students in a class.

Height (in cm)   (x)    d = (x -A)/10  Number of students (f)       fd

130-140            135       -2                   8                                     -16  

140-150            145       -1                    6                                      -6

150-160            155        0                   14                                      0

160-170             165        1                   20                                    20

170-180             175        2                   12                                     24

                                                           ∑f = 60                        ∑fd = 22

Mean = A + ∑fd/∑f

Mean = 155 + 22/60

Mean = 155 + 0.3

Mean = 155.3

So, the mean height of students in a class is 155.3.

(iii) Given that the mean of data is 27 and the mode is 45

Mode = 3Median - 2Mean

45 = 3Median - 2(27)

45 = 3Median - 54

3Median = 54 + 45

Median = 99/3

Median = 33

Thus, the median of the given data is 33.

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Answer: Alyssa is charged $0.15 for each text message.

Step-by-step explanation: 5-star

Answer:

see attachement

Step-by-step explanation:

The graphing of linear functions can be done in three basic ways. Plotting points and then drawing a line through them is the first method. The second method makes use of the slope and y-intercept.

Transformations of the identity function f(x)=x f (x) = x are the third option.

There is a single solution, an infinite number of solutions, and there is no solution in an equational system. The number of solutions to a system can be determined algebraically and graphically.

Linear equations can take one of three main forms: the standard form, the point-slope form, and the slope-intercept form.

The term "linear" refers to the graph of a linear equation with two variables. Plotting these two points and drawing the line that connects them are (x1,y1) and (x2,y2).

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Answer:

I'm rlly bad at these so I'll try and good luck lol

they are the superintendent

assistance superintendent: Mr Wilson

director: Mr Jones

accountant: Ms bigge

assistants: Mr Smith and Mrs jones

Step-by-step explanation:

good luck yay -14 year old

Therefore , the solution of the given problem of surface area comes out to be 160 peoples can be fit in that region.

Its surface area is a good indicator of how much space it takes up overall. When estimating the surface area of a three-dimensional shape, the entire environment is taken into consideration. Its surface area determines how big something is overall. The sum of the faces on any and all six of a cuboid's rectangular sides yields the amount of water contained within.

Here,

Given : one person occupies 360 square inches

is 2.5 square foot.

So,

The given dimension of region are :

length = 20 feet and width 20 feet.

Thus,

=> Area = 20*20

=> Area = 400 square foot.

So , number of people in that area will be :

=> 400/2.5

=> 160 peoples.

Therefore , the solution of the given problem of surface area comes out to be 160 peoples can be fit in that region.

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According to the Triangle midline theorem, slicing across a triangle's midline results in a section that is parallel to the base and only half as long. MNK=6 INCH

Theorem of the triangle midline: In a triangle, the midline connecting the midpoints of two sides is parallel to and half as long as the third side.

The midsegment linking the midpoints of two sides of a triangle is parallel to the third side of the triangle, and its length is half that of the third side, according to the midsegment theorem.

The midpoints of the sides AB, BC, and AC are points M, N, and K. The Triangle Midline Theorem states that

MN=1/2AC

NK=1/2AB

MK=1/2BC

The perimeter of the triangle MNK is

P(MNK)=MN+NK+MK

=1/2AC+1/2AB+1/2BC

=1/2(AC+AB+BC)

=1/2PABC

 =1/2.12

=6 inch

Therefore MNK=6 INCH

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If do= (6y-17.81) and ro= (3y+10.54) then the measure of length of hv = 26

A measurement that is longer than or longest than another. a dimension or distance that can be measured. Dimensions: 10 ft. Weights and Measures Table, Metric System Table being lengthy is a quality or a state.

In addition to utilising handspan, foot span, and other methods, one can measure length in many units, such as centimetres, inches, metres, and so on. The several types of units used to measure length can be divided into two categories: standard units and non-standard units.

The number of digits in the base-numerical for, as determined by the formula, determines a number's base length.

HF = 10x + 6

VH = 8 x – 14 and

FV = 4x+10

Substitute

8x - 14 + 4x + 10 = 10x +6

12x - 4 = 10x + 6

12x - 10x = 6 + 4

2x = 10

x = 5

Identify the VH's length.

VH = 8x - 14

VH = 8(5) - 14

VH = 26

Consequently, VH is 26 units long.

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We can fill in the fields as:

a) %6.50 shipping fee: x >= $0.01 and x < $20.

b) %9.00 shipping fee: x >= $20 and x < $50.

c) %11.00 shipping fee: x >= $50 and x < $75.

d) %12.25 shipping fee: x >= $75 and x < $100.

e) %13.10 shipping fee: x >= $100.

What is inequality?

An inequality is a mathematical statement that describes the relationship between two values, where one value is not equal to the other.

a) %6.50 shipping fee: x >= $0.01 and x < $20.

b) %9.00 shipping fee: x >= $20 and x < $50.

c) %11.00 shipping fee: x >= $50 and x < $75.

d) %12.25 shipping fee: x >= $75 and x < $100.

e) %13.10 shipping fee: x >= $100.

Each inequality represents a different shipping fee category at GoodSportsBuys.com, with the total cost of items purchased (x) falling within a certain range. The inequality symbol used in each statement represents the range of values that correspond to a particular shipping fee.

Hence, we can fill in the fields as:

a) %6.50 shipping fee: x >= $0.01 and x < $20.

b) %9.00 shipping fee: x >= $20 and x < $50.

c) %11.00 shipping fee: x >= $50 and x < $75.

d) %12.25 shipping fee: x >= $75 and x < $100.

e) %13.10 shipping fee: x >= $100.

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The graph of the entire function f has a domain of (-3 < x < -2) ∪ (0 < x < 1) and the range of (-5 < y < 5).

The set containing all input values is known as a function's domain.

A function's range is the collection of all possible output values.

In a graph:

The x-values, or horizontal axis, define the domain.

The y-values, or vertical axis, define the range.

The domain of the graph is given by the coordinates of x. For the given graph the x- coordinates are:

(-3 < x < -2) ∪ (0 < x < 1)

The range of the graph is given by the y-coordinates of the graph. For the given graph the y-coordinates are:

(-5 < y < 5).

Hence, the graph of the entire function f has a domain of (-3 < x < -2) ∪ (0 < x < 1) and the range of (-5 < y < 5).

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La cantidad máxima de niños que pueden invitar Enrique y Silvia a la fiesta de su nieta, Sofía, es x = 10.

Enrique y Silvia van a dar una fiesta a su nieta Sofía y desean saber cuántos niños como máxi-mo deben invitar; el dinero que tienen está re-

presentado por D= $ 7 500x y los gastos están representados por G = $ 5 900x + 25. ​

Establecer la ecuación.

D = 7500x  -  G

7 500x - 5 900x - 25 = 0

Resolver la ecuación.

1 500x = 25

x = 10

Interpretar la solución.

La cantidad máxima de niños que pueden invitar Enrique y Silvia a la fiesta de su nieta, Sofía, es x = 10.

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No, 1/3 and 2/7 are not the equivalent fractions.

In mathematics, equivalent fractions are those with the same denominator and differing numerators. For instance, because 2/4 and 3/6 are both equal to 1, they are both comparable fractions. Part of a whole is a fraction. Identical portions of the whole are represented by equivalent fractions.

Every fraction has an equivalent fraction, which can be found by multiplying the numerator and denominator by the same integer. In spite of their visual differences, equivalent fractions are those that indicate the same value. For instance, if you take a piece of cake, divide it into two equal pieces, then eat one of them, you will have consumed half of the cake.

let us consider,

1/3 = 2/7

0.33 = 0.29

so, it is not equals.

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Correct Question:

Are 1/3 and 2/7 equivalent fractions?.

Answer:

X = 2

Because x means our answer and the answer to 1 + 1 is 2!

Answer:

2

Step-by-step explanation:

1+1=2

x=2

So, the agency made $15,390 on the sale of the house and the agent earned $4,617 in commission.

First, to find out how much the agency made on the house, you need to calculate the commission they received. The commission rate for the agency is 4.5%, so to find the commission you would multiply the sale price of the house ($342,000) by the commission rate (0.045)

$342,000 x 0.045 = $15,390

The agency made $15,390 on the sale of the house.

To find out how much the agent earned in commission, you need to first find out how much the agency earned in commission ($15,390) and then multiply that by the agent's commission rate (30%).

$15,390 x 0.3 = $4,617

The agent earned $4,617 in commission.

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To calculate the commission, multiply the selling price of the home ($342,000) by the agency's commission rate, which is 4.5%. (0.045)

$342,000 x 0.045 = $15,390

The sale of the property brought in $15,390 for the organization.

To calculate the amount of commission earned by the agent, multiply the amount of commission received by the agency ($15,390) by the agent's commission rate (30%).

$15,390 x 0.3 = $4,617

The dealer received a commission of $4,617.

The price of one coat is $46.

Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number. So the percentage actually means a part per 100.

Given that,

a store has 25% off sale on coats.

Discounted price of one coat = $34.50

We have to find the original price of the coat. Let it be x.

x - (25% x) = 34.5

x - 0.25x = 34.5

0.75x = 34.5

x = 46

Hence the original price of the coat is $46.

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Answer:

the 18 ounce bottle by 0.05

Step-by-step explanation:

the 18 ounce bottle costs 0.2

the 12 ounce bottle costs 0.25

Answer:

13.43

Step-by-step explanation:

Answer:34

Step-by-step explanation:

ad divided by 79=34

We can solve systems of equations with 3 variables using substitution by finding the value of one variable from one equation then putting the value of that variable in second equation and 3 equation then solving them properly.

The algebraic approach for system can significantly systems of equations at once is called the substitution method. As the name implies, this method involves substituting a variable's value from one equation into another. In this manner, a pair of linear equations are combined into a single, simple linear equation with just one variable.

Equations linear in three variables:

1. Use all but one of your equations to find all the variables that can be expressed in terms of one of the variables.

2. Determine the variable's numerical value using the one remaining equation.

3. Using that figure, determine the answers to all of the other variables.

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