help please with this assignment

Answer:

When solving a compound inequality, you can express the solution in two different ways: using a union or intersection.

Using a union:

A union represents the solutions that belong to either one inequality or the other, or both. You can express a union using the symbol "or," or by writing the solutions for each inequality separately and combining them using a "union" symbol (∪). For example, if you have the compound inequality "x > 2 or x < -3," you can express the solution as "x ∈ (-3, 2) ∪ (-∞, -3) ∪ (2, ∞)."

Using an intersection:

An intersection represents the solutions that belong to both inequalities. You can express an intersection using the symbol "and," or by writing the solutions for each inequality separately and combining them using an "intersection" symbol (∩). For example, if you have the compound inequality "x > 2 and x < -3," you can express the solution as "x ∈ (-3, 2) ∩ (-∞, -3) ∩ (2, ∞)."

Which method you use to express the solution will depend on the specific inequalities and the type of solutions you are looking for. It is important to carefully consider the inequality symbols (>, <, ≥, ≤) and the use of "and" or "or" in order to determine the correct solution.

When solving a compound inequality, the solution can be expressed in one of two ways: as an interval or as a union of intervals.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

An interval is a set of all real numbers between two given numbers, and is written in the form (a, b) or [a, b], where a and b are real numbers, and a < b. If a and b are included in the interval, then the interval is written as [a, b]; if a and b are not included in the interval, then the interval is written as (a, b).

A union of intervals is a combination of two or more intervals, and is written in the form (a, b) ∪ (c, d) or [a, b] ∪ [c, d], where a, b, c, and d are real numbers, and a < b and c < d.

When solving a compound inequality, it is important to first simplify the inequality by combining like terms, isolating the variable on one side of the inequality, and combining any separate inequalities into a single inequality. Then, the solution can be found by graphing the inequality on a number line, and shading the portion of the number line that represents the solution.

Once the solution is found the solution can be expressed either as an interval or as a union of intervals depending on the inequality. For example, if the inequality is x>1 and x<3, then the solution would be expressed as (1,3) and this is an example of an interval. If it's x>1 and x≥3 then the solution would be expressed as (1,3] U [3,∞) and this is an example of union of intervals.

Learn more about inequalities here:

brainly.com/question/20383699

#SPJ2

a. The table for the relation is given by the image shown at the end of the answer.

b. The domain and range of the relation are given as follows:

c. The relation is a function, as it value of the input is mapped to a single value of the output.

The ratio between the total cost and the number of vehicles is obtained as follows:

k = 3.75/5 = 3/4 = ... = 0.75/1 = 0.75.

Meaning that the situation is modeled by a proportional relationship with a constant of 0.75, and the function is given as follows:

y = 0.75x.

For which:

The domain and range are given as follows:

More can be learned about proportional relationships at https://brainly.com/question/10424180

#SPJ1

Answer: obtuse

Step-by-step explanation:

64+47=111

111>39

so, if we take 40(origin amount) to be the 100%, what is 26 off of it in percentage anyway?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 40 & 100\\ 26& x \end{array} \implies \cfrac{40}{26}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{ 20 }{ 13 } ~~=~~ \cfrac{ 100 }{ x }\implies 20x=1300\implies x=\cfrac{1300}{20}\implies x=65[/tex]

In the algebraic expression, 6x + 10, x is the variable, 6 is the coefficient and 10 is the constant.

What are algebraic expressions?

Algebraic expressions are mathematical phrases that can contain numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division. They can be used to represent mathematical operations and relationships between numbers.

Examples of algebraic expressions include:

2x + 3 (This is an expression that represents the sum of 2 times the value of x plus 3)

A letter or symbol that denotes an unknowable value is called a variable. The variable here is represented by x.

A coefficient is a number that is multiplied by a variable in an algebraic expression. In this case, 6 is the coefficient of x.

A constant is a value that does not change in an algebraic expression. In this case, 10 is the constant.

Learn more about Algebraic expression

https://brainly.com/question/4344214

#SPJ1

Answer:

73

Step-by-step explanation:

so basically this process is rather easy, okay what u have to do is find the area but since u cant u just have to try your best and go over the answer with a friend, oh you have none? Sorry for assuming, so just ask siri if you have 0 friends, the formula should look a little like this:

A=l*w or A=b*h

which than u would have to add up the circumference (sorry for not mentioning that earlier) so the new formula would be a little like this

A+C=

than thats your answer (it should be 12.)

Answer:

742

Step-by-step explanation:

6000

-5258

   742

Note that solving an equation involves finding the value(s) of the variable(s) that make the equation true. For example, solving the equation 2x + 3 = 7 would give the solution x = 2.

On the other hand, solving an inequality involves finding the set of all values of the variable(s) that make the inequality true. For example, solving the inequality 2x + 3 > 7 would give the solution x > 1.

An inequality in mathematics is a relationship that makes a non-equal comparison between two integers or other mathematical expressions. It is most commonly used to compare the sizes of two numbers on a number line.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign.

Learn more about inequality:
https://brainly.com/question/28823603
#SPJ1

Answer:

X = 2/3

Step-by-step explanation:

there is some misinformation here but I’m just gonna assume these rectangles are proportional.

If the longer side for the first one is 3 and the longest side for the second is 2 meaning that the second side is multiplied by 2/3

So if we multiply 1 by 2/3, it will be 2/3 meaning x = 2/3

hope this helps :)

Therefore , the solution of the given question of equation come out to be

x = 1/3 tablespoon .

Two variables that are equal—one on each side of a "equals" sign—are represented mathematically by an equation. Equations can be used to solve problems in daily life. To tackle challenges in real life, we frequently seek pre algebra assistance. The very foundation of mathematics is pre-algebra.

Here,

Given : 2/3 cup Tablespoons

We have to find the half Tablespoons

So,

In order to find the half Tablespoons

Thus,

=> 1 Tablespoon = 2/3Tablespoons + x

where x is the half Tablespoons

=> x = 1/3 tablespoon

Therefore , the solution of the given question of equation come out to be

x = 1/3 tablespoon .

To know more about equation , visit

brainly.com/question/10413253

#SPJ1

Answer:

About 47% of books were nonfiction.

The actual percentage includes decimals and it would be this:

%47.0588235294

The number of times each number divides is 8 divides LCM into 11 times

11 divides into LCM 8 times and 22 divides into LCM 4 times .

What is LCM ?

The smallest positive integer that is divisible by both a and b is known as the least common multiple (lcm), lowest common multiple (lcm), or smallest common multiple of two numbers a and b in mathematics and number theory.

Least Common Multiple is a mathematical term. The smallest number that is a multiple of both of two numbers is called the least common multiple.

In mathematics, the least common multiple is sometimes referred to as LCM or the lowest common multiple. The smallest number among all the common multiples of the provided numbers is the least common multiple of two or more numbers.

The LCM of 8 , 11 and 22 is 88

∴ 8 divides into LCM 11 times

11 divides into LCM 8 times

22 divides into LCM 4 times

To learn more about LCM from the given link  

https://brainly.com/question/233244

#SPJ1

Complete the table with values 3, 2, 24 and 10 respectively

The constant of proportionality is the ratio of the y value to the x value i.e.

constant of proportionality (k) = y/x

The table can be completed by determining the constant of proportionality. That is:

k = y/x

where y = hours and x = magnets

k = 4/12 = 1/3

when y = 1:

1/3 = 1/x

x = 3

when x = 6:

1/3 = y/6

y = 2

when y = 8:

1/3 = 8/x

x = 24

when x = 30:

1/3 = y/30

x = 10

Learn more about constant of proportionality on:

brainly.com/question/29213426

#SPJ1

The gross price for the 210 pieces that Lance completed last week is $468.6.

Percentage is a measurement to find value of given number out of hundred.

Given that,

Amount received by Lance Greene for one piece = $2.20.

Also, Lance gets 10% bonus per piece after 180 pieces.

Given that, last week Lance completed 210 pieces .

Price for 210 piece = 210 x 2.20  = 462

Also, bonus gets by Lance on 30 pieces = 30 x 2.2 x 10/100 = 6.6

Total price = 462 + 6.6 = 468.6

The required gross price is $468.6.

To learn more on Percentage:

https://brainly.com/question/24120406

#SPJ1

Answer:

To determine the number of students at the open house, you can use the fact that the ratio of students to adults is 9:7 and set up the following proportion:

students/adults = 9/7

You can then cross-multiply to find the value of "students":

7 * students = 9 * adults

7 * students = 9 * (832/(9+7))

7 * students = 832

students = 832 / 7

students = approximately 118.85714285714 students

To determine the number of students at the open house, you can use the fact that the ratio of students to adults is 9:7 and set up the following proportion:

Copy code

students/adults = 9/7

You can then cross-multiply to find the value of "students":

Copy code

7 * students = 9 * adults

7 * students = 9 * (832/(9+7))

7 * students = 832

students = 832 / 7

students = approximately 118.85714285714 students

Since the number of students must be an integer, the number of students at the open house is approximately 118 students.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

768 can be broken down to:

2×2×2×2×2×2×2×2×3

The part made up of twos is already a perfect square. The 3 needs a partner for it to be a perfect square also.

768 × 3 is 2304.

Sqrt2304 is 48.

Multiply 768 by 3 to make it a perfect square.

Refer To The Given Image

A square is a two-dimensional closed shape with 4 equal sides and 4 vertices. Its opposite sides are parallel to each other. We can also think of a square as a rectangle with equal length and breadth.

The area of a square is given as side².

We have,

The total amount of wood.

= 4 x 65.5

= 262 inches.

Frame:

Side = 5.25 inches

The perimeter of the frame.

= 4 x 5.25

= 21 inches

Now,

Sandbox:

The wood used for the sandbox.

= 11 x 21

= 231 inches

The remaining wood.

= 262 - (21 + 231)

= 262 - 252

= 10 inches

Thus,

The remaining wood is 10 inches.

To learn more about squares refer to:

brainly.com/question/22964077

#SPJ1

If James paid with a $20 bill, he would get $7.25 in change ($20 - $12.20 = $7.25).

Change is a natural part of life. It is the process of making or becoming different, and can happen in an instant or over a long period of time. Change may refer to a transformation in a person’s life, such as a career switch, a change in lifestyle, or growth in maturity. It can also refer to a shift in the environment, such as a change in the weather, a demographic shift, or a dramatic event.

The equation c + $8.45 = $12.20 can be rewritten as c = $12.20 - $8.45. Solving this equation yields c = $3.75. This means James bought a popcorn for $3.75.
If James paid with a $20 bill, he would get $7.25 in change ($20 - $12.20 = $7.25).

To learn more about change
https://brainly.com/question/25184007
#SPJ1

The experimental probability of spinning a white or yellow is 7/20

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

Outcomes of experiments

The outcomes of experiments are given as

yellow / 5

blue / 12

green / 8

white / 9

red / 6

The experimental probability of spinning a white or yellow can be calculated using the following equation

P(White or Yellow) =P(White) + P(Yellow)

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

P(White or Yellow) = (9 + 5)/5 + 12 + 8 + 9 + 6)

Evaluate the sum

P(White or Yellow) = 14/40

Simplify

P(White or Yellow) = 7/20

Hence, the probability is 7/20

Read more about probability at

https://brainly.com/question/251701

#SPJ1

The length of segment AB is given as follows:

AB = 20 units.

Similar triangles are triangles that share these two features given as follows:

The similar triangles for this problem are given as follows:

ABD and CDE.

Hence the proportional relationship that can be established between the side lengths is given as follows:

AB/DE = BC/CD = AC/CE.

The side lengths are given as follows:

CD = 3, CE = 5, DE = 4, DB = 18.

As CD = 3 and DB = 18, using the segment addition postulate, we have that:

BC = BD - CB

BC = 18 - 3

BC = 15 units.

Hence the length AB is obtained as follows:

AB/4 = 15/3

AB/4 = 5

Applying cross multiplication, we have that:

AB = 4 x 5

AB = 20 units.

More can be learned about similar triangles at brainly.com/question/14285697

#SPJ1

Answer: To solve the quadratic equation 8x^2 + 16x + 3 = 0, Patel could use the following steps:

Divide both sides of the equation by 8 to obtain x^2 + 2x + 3/8 = 0.

Rewrite the equation in the form (x + a)^2 = b by completing the square: x^2 + 2x + (1/2)^2 = (1/2)^2 - (3/8).

Rewrite the equation as (x + a)^2 - b = 0. In this case, a = 1/2 and b = -3/8.

Use the quadratic formula to solve for x:

x = (-1/2) +/- sqrt((1/2)^2 - (-3/8))

= (-1/2) +/- sqrt(5/8)

= (-1/2) +/- sqrt(40/64)

= (-1/2) +/- sqrt(10/16)

= (-1/2) +/- (5/8)

= -1 +/- 5/8

= -1 + 5/8 or -1 - 5/8

= -7/8 or 1/8

Therefore, the solutions to the quadratic equation are x = -7/8 or x = 1/8.

Step-by-step explanation:

Answer:

its the answer

Step-by-step explanation:

the answer to the question is the answer

hehe

Therefore , the solution of the problem of expression comes out to be

9.12 x 10 ^-2.

An algebraic expression must be checked via replacing each variable with a number and performing arithmetic operations. In the example above, the answer variable is comparable to 6, since 6 + 6 equal 12. If we know the values of the variables, we can replace them with those values and evaluate the expression.

Here,

Given : 0.0912 in scientific notation

=> 9.12 /100

By using scientific notation

=> 9.12 × 10^-2

=> 9.12 x 10 ^-2

So, we get 9.12 x 10 ^-2 as the scientific notation for the given expression

Therefore , the solution of the problem of expression comes out to be

9.12 x 10 ^-2.

To know more about expressions visit :-

brainly.com/question/14083225

#SPJ1

Answer: the bottom two graphs show continuous data

Step-by-step explanation:

According to the solving If the room's width is 6 meter's, then its length must be 10 meter's.

Distance is measured by length. The quantity of length has the dimension of distance there in International System of Quantities. Most measurement systems choose a base unit for length from which all subsequent units are derived. The metre serves as the fundamental unit of length in the International System of Units.

If you have an area A and a width w, you can calculate the length w by using the formula h = A/w. Its length can indeed be calculated using the formula h = P/2w if you know its perimeter (P) and width (W). If you have the width w and the diagonal

According to the give information:

Let length be x By Given Condition

5/3=x/6

x=5/3*6

x=30/3=10

Therefore length of room is 10.

To know more about length visit:

brainly.com/question/8552546

#SPJ1

The total length is 2.077m (2177 cm).

Length is a measurement of size, distance, or duration. It can refer to physical size (length of a field, length of an object, etc.), distance (length of a journey, length of a river, etc.), or duration (length of a movie, length of a school day, etc.). Length can also refer to the duration of time it takes to complete something (length of a task, length of a process, etc.). Length is typically measured in units such as meters, feet, inches, miles, kilometers, and seconds.

The given measurements can be added together to calculate a total length. The addition of 1.8m, 77cm, and 210mm can be expressed in the form of a sum equation. The equation would be 1.8m + 77cm + 210mm = ?.

To solve this equation, the measurements need to be converted to the same unit of measurement. In this case, all measurements can be converted to cm. 1.8m is equal to 1800cm, 77cm is equal to 77cm, and 210mm is equal to 21cm.

Therefore, the sum equation becomes 1800cm + 77cm + 21cm = ?. To find the total length, the numbers can be added together.

The total length is 1977cm. However, since the measurements are expressed in decimals, the answer must also be expressed in decimals. Therefore, the total length is 2.077m (2177 cm).

To know more about length click-
https://brainly.com/question/25292087
#SPJ1

slope form -

y - y1 = m(x - x1)

y - (-3) = -2/3(x - 3)

y + 3 = -2/3x + 2

y = -2/3x - 1

Therefore ,As a result, y = 5x + 35 is the equation that gives the answer to the given algebra issue.

Algebra is used to analyze mathematical symbols, and logic is used to manipulate those symbols. The PEMDAS rule stands for the following operations: parenthesis, exponent, multiplication, division, addition, and subtraction. This rule is applied to solve the equation properly and accurately.

Here,

In this case, the equation for y in terms of x will be as follows:

y = 5(x + 7)

If you make the equation simpler, you get

y = 5(x + 7)

y = 5x + 35

y will have the linear equation y = 5x + 35 in terms of x.

Therefore , As a result, y = 5x + 35 is the equation that gives the answer to the given algebraic issue.

To learn more about the Algebra visit:

brainly.com/question/953809

#SPJ1