What is the solution of the equation x + 12.23 = 28.659?

Answers

Answer 1

Answer:

16.429

Step-by-step explanation:

x+12.23=28.659

28.659-12.23=16.429

Answer 2

Answer:

[tex]\mathrm{x=16.429}[/tex]

Step-by-step explanation:

[tex]\mathrm{x + 12.23 = 28.659}[/tex]

Subtract 12.23 from both sides:-

[tex]\mathrm{x=28.659-12.23}[/tex]

Simplify  :-

[tex]\mathrm{x=16.429}[/tex]

___________________

-Hope this helps!


Related Questions

Which multiplication equation can be used to explain the solution to 15/ by 1/3 of a fraction?

Answers

Answer:

Multiply by the inverse.

Answer: 45

Step-by-step explanation:

(15)/(1/3) is the same thing as multiplying the top (numerator), by the inverse of the bottom (denominator).

So we have the following: [tex]\frac{15/1}{1/3}[/tex]

Taking the inverse means flipping the fraction. The inverse of [tex]\frac{1}{3}[/tex] is [tex]\frac{3}{1}[/tex]. So we can keep the top, and multiply by the inverse.

[tex]\frac{15}{1}[/tex] X [tex]\frac{3}{1}[/tex] = 15 x 3 = 45.

Does this make sense?

the base of is the parabolic region {(,)|2≤≤1}. cross-sections perpendicular to the -axis are squares.

Answers

The volume of the solid is 0 cubic units.

What do you mean by integration?

Integration is a fundamental concept in calculus that deals with finding the area under a curve and calculating the accumulation of values over an interval. Integration can be thought of as the reverse of differentiation, which is the process of finding the rate of change of a function at a given point.

There are two main types of integration: definite and indefinite integration. Definite integration involves finding the exact area between a curve and the x-axis over a specified interval. Indefinite integration involves finding the general antiderivative of a function, which is a function that, when differentiated, will yield the original function.

The process of integration can be represented symbolically as ∫ (the integral symbol) and the result of an integration is typically represented as an antiderivative. The fundamental theorem of calculus states that differentiation and integration are inverse operations, so the derivative of an antiderivative is the original function.

The volume of the solid is given by the definite integral:

V = ∫_[tex]{y=2}^{1} A(y) dy[/tex]

Where A(y) is the area of the cross-section at y. Since the cross-sections are squares, we know that A(y) = [tex]y^{2}[/tex].

So, the volume is given by:

V = ∫_[tex]{y=2}^{1} y^{2} dy = [\frac{y^{3} }{3} ]_{y=2}^{y=1} = (\frac{8}{3} - (\frac{2^{3} }{3}= (\frac{8}{3}-\frac{8}{3} ) =0[/tex]

The volume of the solid is 0 cubic units.

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A set of eight cards were labeled as M, U, L, T, I, P, L, Y. What is the sample space for choosing one card? S = {I, U, Y} S = {M, L, T, P} S = {I, L, M, P, T, U, Y} S = {I, L, L, M, P, T, U, Y}

Answers

The sample space for choosing one card is, S={I, L, L, M, P, T, U, Y}

What is a sample space?

A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample area could contain a variety of results.

Given that,

A set of eight cards were labeled with M, U, L, T, I, P, L, Y.

Here, the sample space is;

{ S, U, B, T, R, A, C, T}

Now, Elements in order is,

⇒ S = {I, L, L, M, P, T, U, Y}

Therefore, the sample space for the given cards is,

S = {I, L, L, M, P, T, U, Y}

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Answer: I think the answer would be C

September 20, 2019: Sanford pays a $15,000 balance due to the supplier upon delivery of the helmets to its warehouse. how should the transaction be recorded in sanford’s financial accounting system?

Answers

The transaction should be recorded as an Accounts Payable (A/P) liability in Sanford’s financial accounting system.

Accounts Payable is a liability account that records the amount of money a company owes to its suppliers for goods and services that have been received, but not yet paid for. In this case, Sanford is responsible for paying the supplier $15,000 for the helmets that have been delivered to its warehouse.

This payment should be recorded in the Accounts Payable account as a debit of $15,000 and a credit to the Cash account of $15,000. By doing this, Sanford’s Accounts Payable balance will be reduced to reflect that the invoice has been paid, and the Cash account will be increased to reflect the payment made. This will keep the company’s financial records up to date and accurate.

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Luis jogged 9 3/13 laps the morning and 3 5/26 in the evening how many did he do in all?

Answers

Answer: 12 11/26 laps

Step-by-step explanation:

9 3/13= 9 6/26

9 6/26+ 3 5/26=12 11/26.

Find the measure of each interior angle of the regular polygon. 7th​

Answers

The measure of each interior angle of the regular polygon is equal to 150°.

What is a regular polygon?

In Euclidean geometry, a regular polygon simply refers to a form of polygon which has all of its sides and interior angles being equal.

In Geometry, the sum of the interior angles of both a regular and irregular polygon is given by this formula:

Sum of interior angles = 180 × (n - 2)

Where:

n represents the number of sides of a regular polygon.

Similarly, the measure of each interior angle of a regular polygon can be calculated by using this mathematical expression:

Interior angles = [180 × (n - 2)]/n

Interior angles = [180 × (12 - 2)]/12

Interior angles = 180 × (10)/12

Interior angles = 1800/12

Interior angles = 150°

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2 c ​ −3 d 6 ​ tart fraction, c, divided by, 2, end fraction, minu, 3, plu, tart fraction, 6, divided by, d, end fraction when c=14c=14c, equal, 14 and d=3d=3

Answers

2/5th of a number is 40% of that number.

In order to calculate the percentage of a given number that is equal to 2/5 of that number, we must first convert the fraction to percentage form, which is as follows:

= 2/3 * 100

= 0.4 * 100

= 40%

We will use the following example to validate the aforementioned process:

Assume that it is 50.

First, 2/5 of 50 equals 2/5 * 50, or 20.

Second, 40% of 50 equals 40/100 * 50 = 0.4 * 50 = 20.

The equality of the two results is evident.

2/5 of a number is therefore 40% of that number.

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The question is incomplete;

\dfrac25 start fraction, 2, divided by, 5, end fraction of a number is what percentage of that number?

standard deviation and varianc'e remember that the standard deviation and variance can only be used when the mean is used as the measure of center. True/False ?

Answers

True. The variance and standard deviation both quantify how far spaced apart a set of data is from the mean. They cannot be used to calculate the dispersion around the median or mode, or any other center-of-mass metric.

The variance and standard deviation both quantify how far spaced apart a set of data is from the mean. They can therefore be used to calculate the difference between the highest and lowest values in a data set. The standard deviation, which is the square root of the variance, is used to calculate how far away from the mean each result is on average. The average of the squared deviations between each data point and the mean is the variance. The variance and standard deviation cannot be used to quantify the dispersion of data around other measures of center, such as the median or mode, because they only measure the dispersion of data around the mean.

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(x+y)²+8(x+y)+12 factorize​

Answers

The expression is factorized to give x(x+ 12) + 8( y + 12)

How to factorize the expression

From the information given, we have that the expression as;

(x+y)²+8(x+y)+12

Now, expand the bracket, we get;

(x + 2) (x+2) + 8x + 8y + 12

expand the squared bracket, we get;

x² + 2x + 2x + 4 + 8x + 8y + 12

Now, collect like terms

x² 2x + 2x + 8x + 8y + 4 + 12

Add the collected like terms, we get;

x² + 12x + 8y + 16

Now, let's factorize in airs by grouping, we get;

(x² + 12x) + (8y + 16)

Factor the common terms

x(x+ 12) + 8( y + 12)

Hence, the expression is x(x+ 12) + 8( y + 12)

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compute the number of ways you can select n elements from n elements. n = 2, n = 10

Answers

The number of ways you can select n elements from N elements by using factorial (!) when n=2 and N=10 is 45.

Describe a factorial.

Factorial is a crucial mathematical operation that is used to determine the number of possible arrangements or the ordered set of numbers. Daniel Bernoulli is credited with discovering the factorial function's well-known interpolating feature. Numerous mathematical ideas, including probability, permutations and combinations, sequences and series, etc., use the factorial concept. A factorial function, in essence, multiplies a number by each number below it until it equals 1. For instance, the factorial of 3 is equal to 6 and reflects the multiplication of the integers 3, 2, and 1.

Now,

The number of ways you can select n elements from N elements when n=2 and N=10 is [tex]\frac{N!}{n!(N-n)!}[/tex]

=[tex]\frac{10!}{2!(8)!}[/tex]

=[tex]\frac{10 \times 9 \times \times 8!}{8! \times 2 !}[/tex]

=45

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I am a multiple of 7 le then 50. When my digit are revered,I am a multiple of 8. What number am I

Answers

The number which satisfies the given condition is 28.

According to the question

The number 28 is less than 50 and has a multiple of 7. It becomes 82, which is also a multiple of 8 when its digits are inverted. As a result, the criteria can only be satisfied by the number 28. This may be verified by quickly determining whether any other number less than 50 that is a multiple of 7 has its digits switched around to become a multiple of 8. However, it is clear that none of the other figures satisfy both requirements.

In light of this, the answer to this issue is 28.

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The number which satisfies the given condition is 28.

According to the question

The number 28 is less than 50 and has a multiple of 7. It becomes 82, which is also a multiple of 8 when its digits are inverted. As a result, the criteria can only be satisfied by the number 28. This may be verified by quickly determining whether any other number less than 50 that is a multiple of 7 has its digits switched around to become a multiple of 8. However, it is clear that none of the other figures satisfy both requirements.

In light of this, the answer to this issue is 28.

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‼️‼️PLEASEE HELP‼️‼️

When rotated about it’s center, a regular heptagon has __ rotational symmetries. In addition to rotational symmetry, a regular heptagon has __ lines of reflectional symmetry

Answers

When rotated about its center, a regular heptagon has 7 rotational symmetries. In addition to rotational symmetry, a regular heptagon has 1 line of reflectional symmetry.

What do you mean by rotation symmetry?

Rotation symmetry, also known as radial symmetry or circular symmetry, is a fundamental concept in geometry that refers to the property of a shape to remain unchanged after rotating it about a fixed point. This point is typically the center of the shape, although it can be any point within the shape.

The amount of rotation required for the shape to become congruent to its original form is called the "angle of rotation." If a shape can be rotated multiple times and still remain unchanged, it is said to have multiple rotational symmetries.

For example, a circle has an infinite order of rotational symmetry, as it can be rotated 360 degrees and still look exactly the same. On the other hand, a square has 4 rotational symmetries, as it can be rotated 90 degrees and still look the same 4 times.

Rotational symmetry is a useful concept in mathematics and science as it provides a way to describe the symmetry of objects and shapes in the real world. It also helps us understand how objects and shapes change when they are rotated, and it provides a way to classify objects based on their symmetrical properties.

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(1 point) solve the system using elimination ⎧⎩⎨⎪⎪6x5x−4x−5y−4y 3y 3z 6z 6z===−70−755 x= y= z=

Answers

The solution to the system of linear equations is: x = 5, y = (6x + 7 - 10/4)/(-5) = -4/5, z = -5/4.

To solve the system of linear equations using elimination, we can manipulate the coefficients of the variables to make one of the variables zero in one of the equations. Then, we can use this equation to eliminate that variable from the other equations.

Starting with the first two equations:

6x - 5y - 4z = -7

5x - 4y - 4z = -5

We can multiply the first equation by 5 and the second equation by 6 to get rid of the coefficients of x in both equations:

30x - 25y - 20z = -35

30x - 24y - 24z = -30

Now, we can subtract the first equation from the second equation to eliminate x:

0y - 4z = 5

So, z = -5/4

Next, we can use this value of z to solve for y in either of the first two equations:

6x - 5y - 4(-5/4) = -7

Expanding the right side:

6x - 5y + 10/4 = -7

And solving for y:

y = (6x + 7 - 10/4)/(-5)

Finally, we can use the value of y and z to solve for x in any of the first two equations:

6x - 5((6x + 7 - 10/4)/(-5)) - 4(-5/4) = -7

Expanding and solving for x:

6x - (6x + 7 - 10/4)/5 - 10/4 = -7

Multiplying both sides by 5:

30x - 6x - 7 + 2 = -35

And solving for x:

x = 5

Finally, we can use the values of x, y, and z to check the third equation:

3y + 6z = 6

Substituting the values we found:

3((6x + 7 - 10/4)/(-5)) + 6(-5/4) = 6

Expanding and solving:

The left side is equal to 6 and the right side is equal to 6, so the solution is consistent.

Therefore, the solution to the system of linear equations is:

x = 5, y = (6x + 7 - 10/4)/(-5) = -4/5, z = -5/4

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A class used cars(x) and vans(y) to go on a field trip. They used 11 cars and vans. Each car holds 5 students and each van holds 8. If 73 students went on the trip then how many of each vehicle did the class use.

Answers

Answer:

X=5 Cars

Y=6 Vans

Step-by-step explanation:

Let's assume the number of cars used is x and the number of vans used is y.

We can set up two equations based on the information given:

x + y = 11 (the total number of vehicles used)

5x + 8y = 73 (the total number of students that went on the trip)

We can use substitution to solve for one of the variables in terms of the other:

y = 11 - x

5x + 8(11 - x) = 73

5x + 88 - 8x = 73

-3x = -15

x = 5

So the class used 5 cars and 11 - 5 = 6 vans.

from your descriptive statistics, describe your standard deviations of salary, hryly rate, yrs worked, education, and age. what does this tell you about the variables

Answers

It is not possible to describe the standard deviations of salary, hourly rate, years worked, education, and age without having the data.

Standard deviation is a measure of the spread or dispersion of a set of data. It is calculated as the square root of the variance and is used to give an idea of how far the individual values in a data set are from the mean or average.

In order to describe the standard deviations of salary, hourly rate, years worked, education, and age, we would need to have the actual data for those variables. Without the data, it is not possible to calculate the standard deviations and describe what they tell us about the variables.

It is important to note that the standard deviation can give us information about the distribution of the data and the variability of the values. For example, if the standard deviation is small, this means that the majority of the values are close to the mean, while a larger standard deviation indicates that the values are more spread out. This information can be useful in making inferences about the variables and in making predictions about future values.

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If tan x° = 3 divided by y and co x° = y divided by z ,what i the value of in x°?

Answers

The value of in x° is sin x = 3/z

The ratio of an angle's opposing side to its adjacent side, or its tan

tan x = 3/y

cos x = y/z

We choose 3 and y to represent the opposite and adjacent sides, respectively, because this ratio is 3:y.

Technically, we ought to write 3t and yt, but we'll take a chance since y appears in the second ratio as well!

Since y is already used to represent the adjacent side, z is used to represent the length of the hypotenuse.

The right triangle's sides are now finished.

Because tan x = sin(x)/cos(x), therefore

sin x = tan(x)*cos(x)

        = (3/y)*(y/z)

        = 3/z

Answer: a) sin x = 3/z

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As the marketing designer for Burger King, you are given a 4 inch by 6 inch logo and have been told to create an advertisement with sides six times larger. What is the area of your advertisement (in square feet)?

Answers

The area of the logo is 6 square feet.

What is the area of your advertisement?

We start wit a logo of 4 inches by 6 inches, and we want to make it 6 times larger, so the new dimensions are:

6*(4 inches) = 24 inches.

6*(6 inches) = 36 inches.

Remember that:

1ft = 12 in

Writting that in feet, we will get:

24 inches = (24/12) ft = 2ft

36 inches = (36/12) ft = 3ft

Then the area of the logo is:

A = 2ft*3ft = 6 ft²

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If the two spinners below are spun, what is the probability that the numbers will add to more than 4?

Answers

Answer: The answer is 1/4.

Step-by-step explanation:

Work out the hortet ditance between planet Q and plant R. Give your anwer in tandard form

Answers

The shortest distance between planet Q and planet R is  1.64 × 10⁷ .

What is planet distance?

RP = 1.6 * 10⁷

most compact distance

The Pythagoras theorem x₂ = R * P² + Q * P² is then used to determine the shortest distance (x).

This results in x = (3.6 * 10⁶) + (1.6 * 10⁷) = 2.

x² = 12.96 * 10¹²  + 2.56 * 10¹⁴ should be evaluated.

Write the equation as: x²= 12.96 * 10¹² + 256 * 10¹²

Sums x² = 268.96*10¹² should be evaluated.

multiply both sides' square roots.

x = 16.4 * 10⁶

Replace with: x = 1.64 * 10⁷

In light of this, the distance between planet Q and planet R is 1.64 * 10⁷ km.

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The complete  question is

The distances between some planets are given below.

Planet Q is 3.6 x 10⁷ to the power of 6 km from planet P.

Planet R is 1.6 x 10⁷ to the power of 7 km from planet P.

Work out the shortest distance between planet Q and planet R. Give your answer in standard form.

Both circles have the same center. What is the area of the shaded region?

d=22 yd

yd

Use 3. 14 for. Write your answer as a whole number or a decimal rounded to the nearest

hundredth

square yards

Answers

The area of the shaded portion is area of the outer circle - area of the inner circle = 1017.36 - 379.94 = 637.42 yards²

What is Circle ?

All points on a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.

The following are some of the circle's crucial characteristics:

If the circles have equal radii, they are said to be congruent.The longest chord in a circle is its diameter.In the center of a circle, equal chords subtend equal angles.The chord is divided in half by the radius drawn perpendicular to the chord.Circles with various radii are comparable.A circle can encircle a kite, triangle, square, trapezium, rectangle, and more.You may encircle a square, triangle, or kite with a circle.Equal in length are the chords that are equally spaced from the center.The longest chord's (diameter) distance from the circle's center is equal to zero.As the chord length rises, the perpendicular distance from the circle's center decreases.The tangents are parallel to one another if they are drawn at the diameter's end.The radii connecting the ends of a chord to the center of a circle create an isosceles triangle.

The radius of the inner circle = 22 /2 = 11 yard = r1

The distance between the inner cirle and outer circle = 7 yards

The radius of the outer circle = 18 yards = r2

The Area of the outer circle = π*r2² = 3.14 * 18² = 1017.36 yards²

The Area of the inner circle = π*r1² = 3.14 * 11² = 379.94 yards²

The area of the shaded portion is area of the outer circle - area of the inner circle = 1017.36 - 379.94 = 637.42 yards²

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(3) pilot altitude 1m angle of depression 3°
d=?​

Answers

The length d for the angle of depression 3° and altitude 1m is equal to 19 m to the nearest metre using the trigonometric ratio of cosine for the angle 87°

What is an angle of depression

The angle of depression is an angle formed between the horizontal line and the line of sight when an observer looks downwards.

Considering the right triangle formed by the length d and the altitude of 1 m, we shall derive a complementary angle as:

90° - 3° = 87°

such that;

cos 87° = 1/d {adjacent/hypotenuse}

d = 1/cos 87°

d = 19.1073.

Therefore, the length d for the angle of depression 3° and altitude 1m is equal to 19 m to the nearest metre using the trigonometric ratio of cosine for the angle 87°.

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Circles equations and coordinates
Desperate help!!!!

Answers

The complete coordinates are (8, 0), (0, -8), (-8, 0) and (0, 8)

How to determine the corodinates

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

x^2 + y^2 = 64

The above is the equation of a circle

Express 64 as 8^2

So, we have

x^2 + y^2 = 8^2

When y = 0, the possible values of x are

x = -8 and x = 8

When x = 0, the possible values of y are

y = -8 and y = 8

This means that the complete coordinates are (8, 0), (0, -8), (-8, 0) and (0, 8)

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earth is approximately a sphere of radius 6.37 x 10 6 m. what are (a) its circumference in kilometers, (b) its surface area in square kilometers, and (c) its volume in cubic kilometers?

Answers

(a) Circumference of Earth in kilometers: 40,075.017 km

(b) Surface area of Earth in square kilometers: 510.1 million km^2

(c) Volume of Earth in cubic kilometers: 1.08 trillion km^3

To calculate these values, we use mathematical formulas that relate to the sphere shape of the Earth.

For (a), we use the formula for the circumference of a circle, C = 2 * pi * r, where r is the radius of the Earth in meters (6.37 x 10^6 m). We then convert this result to kilometers by dividing by 1000.

For (b), we use the formula for the surface area of a sphere, A = 4 * pi * r^2, where r is the radius of the Earth. Again, we convert this result to square kilometers.

For (c), we use the formula for the volume of a sphere, V = (4/3) * pi * r^3, where r is the radius of the Earth. We then convert this result to cubic kilometers by dividing by 10^9.

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Tell which equation you would choose to solve for one of the variables when solving the system by substitution. Then solve the system by substitution.

Equation 1: 2x − 3y = 11

Equation 2: x + 2y = −5


PLEASE I REALLY NEED HELP RIGHT NOW, IM IN A CRISIS! I WILL MARK THE BRANLIEST I SWEAR!!!!

Answers

The equation we will use is Equation 1: 2x − 3y = 11. The values of x and y are 1 and -3.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given;

Equation 1: 2x − 3y = 11

Equation 2: x + 2y = −5

Now,

Equation 2: x + 2y = −5

x=-5-2y

Substituting the value of x in equation 1

2(-5-2y)-3y=11

-10-4y-3y=11

-10-7y=11

-7y=11+10

-7y=21

y=-3

Substituting the value of y in equation 2

x+2*-3=-5

x=-5+6

x=1

Therefore, the solution of the system of equations will be x=1,y=-3

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You pick a card at random.

5
6
7
8


What is P(odd or less than 6)?

Write your answer as a percentage

Answers

The probability of odd or less than 6 is 0.75 which is 75%

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

From the question, there are 4 numbers

These include: 5,6,7,8

Pr(odd) 2/4

Pr(x<6) 1/4

Adding the fractions we have

1/2  + 1/4  = 3/4  = 0.75

Converted to percentage = 75%

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Calculate the length and width of the original figure with a scale factor of 50%.

Answers

Answer:To calculate the length and width of the original figure with a scale factor of 50%, you need to reverse the scaling by multiplying the new dimensions by 100% / 50% = 2.

So if the new length is L, the original length would be L * 2 = 2L. Similarly, if the new width is W, the original width would be W * 2 = 2W.

Step-by-step explanation:here's a step-by-step explanation:

Identify the new length (L) and new width (W) of the figure.

Multiply the new length by a factor of 2 to find the original length: 2L = L * 2

Multiply the new width by a factor of 2 to find the original width: 2W = W * 2

The original length is 2L and the original width is 2W.

Note: This process works for any scale factor, not just 50%. To find the original dimensions, simply multiply the new dimensions by 100% / the scale factor.

Use RAM to estimate the area of the region enclosed between the graph of Æ and the x-axis for a ⤠x ⤠b. Æ(x) = 1/x, a = 1, b = 3

Answers

The area enclosed between the graph of Æ and the x-axis for 1 ≤ x ≤ 3 is estimated to be 4/3.

Ram's Rule is a numerical integration method used to estimate the area under a curve by dividing it into trapezoids. The formula for calculating the area under the curve is given by A = (1/2) x (b - a) x (f(a) + f(b)), where A is the area, b and a are the limits of the integration and f(a) and f(b) are the values of the function at the limits a and b respectively.

In this case, the area enclosed between the graph of Æ and the x-axis for 1 ≤ x ≤ 3 can be estimated using Ram's Rule as follows:

A = (1/2) x (3 - 1) x (1/1 + 1/3)

 = (1/2) x (2) x (4/3)

 = 4/3.

Therefore, the area enclosed between the graph of Æ and the x-axis for 1 ≤ x ≤ 3 is estimated to be 4/3.

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PLEASE HELP ME !! I WILL GIVE A LOT OF POINTS

Answers

The value of the integral expression is -1/2ln(9)

How to evaluate the integral

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

Integral of 4/(9 - 8x) from 2 to 9

Using a graphing calculator as a guide, we have the following:

Integrand = -ln(|8x - 9|)/2 from 2 to 9

Substitute the known values in the above equation, so, we have the following representation

Integrand = -ln(|8 * 9 - 9|)/2 + ln(|8 * 2 - 9|)/2

Evaluate

Integrand = -1/2(ln(63/7)

Evaluate the quotient

Integrand = -1/2ln(9)

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Solve each of the following inequalitie and illutrate the olution on number line a) -4x < 28

Answers

The inequality and number line that shows the solution is x>-7.

What is inequality?A relationship between two expressions or values that is not equal to each other is known as inequality in mathematics. So inequality emerges from an imbalance. Less than symbol (), greater than symbol (>), more than or equal to symbol (), less than symbol (), and not equal to symbol () are the five inequality symbols used in mathematics.A connection in mathematics that compares two numbers or other mathematical expressions in an unequal way is known as an inequality. It is most frequently used to compare the sizes of two numbers on the number line.Simply put, a compound inequality is more than one inequality that we want to address simultaneously. If we want to refer to the answer to both of the inequalities, we can use the word "and," or if we want to refer to the solution to just one of the inequalities, we can use the word "or" (or).

Given,

-4x <28

(-4x) (-1) > 28 (-1)

Simplify

4 x>-28

Divide both sides by 4

[tex]\frac{4 x}{4} > \frac{-28}{4}[/tex]

Simplify

x>-7

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Line m and line n are parallel.



Which is the value of x?

Responses

x=15
x = 15

x=12.5
x = 12 . 5

x=7.5
x = 7 . 5

x=2
x = 2

Answers

If line m and n are parallel, the value of x is determined as 10.

What is the value of x?

The value of x is determined by applying the following rules of parallel lines as shown below.

The corresponding angles of the parallel lines are equal,

the corresponding angles are given as;

8x + 50 = 130

now solve for x, by making x the subject of the formula.

8x = 130 - 50

8x = 80

divide through by 8

8x / 8 = 80 / 8

x = 10

Thus, the value of x is function of the corresponding angles.

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