The instructions are on the picture whoever answers this question will be the brainliest!!

The following are the 5 steps in solving a rational inequality: simplifying the inequality, factoring the numerator and denominator of the inequality, set the numerator and denominator equal to zero.

Solving a rational inequality involves isolating the variable and determining the range of values that make the inequality true.

Simplify the inequality by clearing any fractions: This can be done by multiplying both sides of the inequality by the least common multiple (LCM) of the denominators of the fractions.

Factor the numerator and denominator of the inequality: This can be done to cancel out any common factors between the numerator and denominator.

Set the numerator and denominator equal to zero and solve for the zeros: This can be done to find the values of the variable that make the numerator and denominator equal to zero.

Test the zeros and any critical values: This can be done by substituting the zeros and critical values back into the inequality and determining if they make the inequality true or false.

Plot the solution on the number line: This can be done by plotting the zeros and critical values on a number line and shading the region that makes the inequality true.

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So, on solving the provided question we can say that in this quadrilateral we know that sum of all angles is 360, so other will be 90 each too.

A quadrilateral is a four-sided polygon in geometry that has four edges and four corners. The word is a derivative of the Latin words quadri and latus (meaning "side"). Having four sides, four vertices, and four corners, a rectangle is a two-dimensional form. Concave and convex come in primarily two varieties. Additionally, there are several subclasses of convex quadrilaterals, including trapezoids, parallelograms, rectangles, rhombuses, and squares. Four straight sides make up a rectangle, which is a two-dimensional form. There are several different types of quadrilaterals, including parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.

here in this quadrilateral

we know that sum of all angles is 360

two of the are 90 each

so other will be 90 each too.

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The equivalent to 3/4 equal 6/ is 8

Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value. For example, 2/4 and 3/6 are equivalent

from the question,

3/4 equal 6/?

Let x represent the unknown value

= 3/4=6/x

We can simplify this by cross multiplying

3x=24

Divide both sides of the equation by 3

3x/3 = 24/3

x=8

Hence the equivalent to  3/4 equal 6/? is 8

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Answer:

Yes, he can

Step-by-step explanation:

We have to find the total of Chocolate milk Alex has by taking

2 1/2 = 5/2

2/4 + 5/2 = 2/4 + 10/4 = 12/4 = 3 quarts of chocolate milk

1 gallon = 4 quart

And here, Alex only has 3 quarts of chocolate milk, so he can pour the milk from both jugs into a third jug.

Answer:

B) 2 5/8 - 1 4/8

Step-by-step explanation:

I'm bad at explaining but I hope this helps!! ₍^ >ヮ<^₎

i am sorry i don't know the answer

Answer:

[tex]\frac{1}{81}[/tex]

Step-by-step explanation:

using the property of exponents

• [tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]\frac{1}{a^{(n-m)} }[/tex] , then

[tex]\frac{9^{-6} }{9^{-4} }[/tex]

= [tex]\frac{1}{9^{(-4-(-6))} }[/tex]

= [tex]\frac{1}{9^{(-4+6)} }[/tex]

= [tex]\frac{1}{9^2}[/tex]

= [tex]\frac{1}{81}[/tex]

Answer:

1/81

Steps:

move 9^-6 to the denominator using the negative exponent rule

b^-n=1/b^n

1/9^-4 x 9^6

Multiply 9^-4 by 9^6 by adding the exponents

1/9^2

Raise 9 to the power of 2

1/81

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 1

[tex]\displaystyle \left \{ {{3x-2y=11} \atop {x+2y=9}} \right.\\\\(3x-2y)+(x+2y)=11+9\\3x+x-2y+2y=20\\4x=20\\x=5\\\\x+2y=9\\5+2y=9\\2y=4\\y=2\\\\(5,2)[/tex]

Problem 2

[tex]\displaystyle \left \{ {{3x+y=9} \atop {2x+y=5}} \right.\\\\(3x+y)-(2x+y)=9-5\\3x-2x+y-y=4\\x=4\\\\2x+y=5\\2(4)+y=5\\8+y=5\\y=-3\\\\(4,-3)[/tex]

Problem 3

[tex]\displaystyle \left \{ {{-x-2y=4} \atop {3x+2y=4}} \right.\\\\(-x-2y)+(3x+2y)=4+4\\3x-x-2y+2y=8\\2x=8\\x=4\\\\-x-2y=4\\-4-2y=4\\-2y=8\\y=-4\\\\(4,-4)[/tex]

Problem 4

[tex]\displaystyle \left \{ {{x+3y=-2} \atop {3x+4y=-1}} \right.\\ \\\\\left \{ {{3x+9y=-6} \atop {3x+4y=-1}} \right.\\\\(3x+9y)-(3x+4y)=-6-(-1)\\3x-3x+9y-4y=-6+1\\5y=-5\\y=-1\\\\x+3y=-2\\x+3(-1)=-2\\x-3=-2\\x=1\\\\(1,-1)[/tex]

Basically, the goal is to eliminate one variable from a system of equations to solve for the other variable. In the case of problem 4, we had to multiply an equation by a constant in order to eliminate that variable.

Answer:$969

Step-by-step explanation:

Answer:

1 /5

Step-by-step explanation:

formulae -

possible outcomes / total chances

2/10

1/5

Answer: x = 3; y = -2

Step-by-step explanation:

Simultaneous Equations:
3^(2x) x 3^(3y) = 3^0
2x + 3y = 0

2^(2x) x 2^(-0.5y) = 2^7
2x - 0.5y = 7

2x = -3y

-3y - 0.5 y = 7

y = -2

x = 3

Answer:

x=3 y=-2

Step-by-step explanation:

its at the bottom of the page ‍♂️‍♂️

The number of fish remaining in the lake this year will be 115.

A population mean any group that shares at least one characteristic. Populations are more than just individuals. People, animals, businesses, buildings, motor vehicles, farms, objects, or events are examples of populations.

Data

The decrement in number of fish = 53%.

Number of fish previous year = 245

Remaining number of fish  will be 47%.

The population of fish this year will be:

= 47% * 245 fish

= 115 fish.

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In mathematics, equality refers to the relationship between two expressions or values, indicating that they are equivalent or have the same value.

For example, the equation "2 + 3 = 5" states that the left side of the equation (2 + 3) is equal to the right side of the equation (5). Equality can be represented using the symbol "=", which is called the equality sign or equal sign.

Equality can also be used in other mathematical concepts such as congruence, similarity, and equivalence. For example, two triangles are congruent if they have the same shape and size, two figures are similar if they have the same shape but different sizes, and two equations are equivalent if they have the same solutions.

Equality in mathematics is transitive, meaning that if a = b and b = c, then a = c, and reflexive, meaning that a = a for any value of a.

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Answer:$30

Step-by-step explanation:

$75 jacket is 60% off

Step 1: Plug in numbers

Use is/of=%/100 method

is/75=60/100=45

Step 2: Find the Price of Discounted Jacket

75-45=$30

Answer:

-----------------------------------

Initial cost is $75 and the discount is 60%.

Subtract 60% to find the discounted amount:

The labour cost per hour charged by the technician for the laptop is $124.91

Here we see that it cost Sarah $54 dollars for the parts. Now, the technician charged her $585.25.

Since nothing else is mentioned, we will assume that the technician charged Sarah only for the parts and their labour hours.

Hence after deducting the charge for the computer parts, we can get the cost for the labour. We know the labour hours to be 4.25 hours. We don't know the labour cost, which is to be found.

Let the cost of labour per hour be $x

Hence the labour cost will be $4.25x

Adding the cost of parts will give us the charged amount. Hence we get

4.25x + 54 = 585

or, 4.25x = 531

or, x = 531/4.25

or, x = 124.941

Hence the cost per hour is $124.941

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Answer:

this is it

Step-by-step explanation:

There are many different types of inequality, but generally, they can be grouped into two main categories economic inequality and social inequality.

Economic inequality: This refers to the unequal distribution of wealth, income, and resources among individuals or groups within a society. Economic inequality can manifest in various forms, such as income inequality, wealth inequality, and poverty.

Social inequality: This refers to the unequal distribution of social status, power, and privilege among individuals or groups within a society. Social inequality can manifest in various forms, such as discrimination, prejudice, and bias, which can limit opportunities and access to resources for certain groups.

It's important to note that these two types of inequality are often interconnected and can have a significant impact on individuals and groups, leading to reduced opportunities, access to resources, and lower quality of life.

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Answer: Alternate Exterior Angles

Step-by-step explanation:

Simply, both angles are outside the paralell lines.

For the given area 15 m², The length of rectangle is 3 and breadth is 5.

The equation for calculating a rectangle's area. Rectangle's surface area. A = l × b. Once the length and breadth of a rectangle are known, its area may be computed. The area of the rectangle can be calculated as a square unit by multiplying the length and width.

Given,

Let length of rectangle = L

Breadth of rectangle = B

According to the question,

L = 2B - 7

Area = 15 m²

Area of rectangle = Length × Breadth

⇒ 15 = (2B - 7)(B)

⇒ 15 = 2B² - 7B

⇒ 2B² - 7B - 15 = 0

⇒ 2B² - 10B + 3B - 15 = 0

⇒ 2B(B - 5) + 3(B - 5) = 0

⇒ (2B + 3)(B-5) = 0

⇒ B = 5 or B = -3/2

The value of Breadth cannot be negative

L = 2(5) - 7

L = 3

The length of rectangle is 3 and breadth is 5.

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Answer:

see drawing

Step-by-step explanation:

The secant segment theorem states that If two secant segments intersect outside a circle, then the product of the secant segment with its external portion equals the product of the other secant segment with its external portion.

A secant is a line on the circle that connects exactly two distinct points on the curve. Secant is not a chord but a chord is part of a secant. Two different secants can intersect each other internally or externally.

Further, the secant segment theorem defines two more theorems or properties and they are:-

Arcs are line segment that is part of the circumference of a circle. It is like a smooth curve that joins two points. If an arc is of exactly the half-length of circumference then it is called a semicircular arc.

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The equation y = 3x + 10 can be written in function notation as f(x) = 3x + 10.

In this notation, x is the input variable, and f(x) is the output or dependent variable.

Function notation is used to express the relationship between two variables, where one variable is a function of the other. In this case, the equation y = 3x + 10 tells us that y is a function of x, with a slope of  3 and a y-intercept of 10.

So, in function notation, this equation can be written as:

f(x)=3x+10

In conclusion, the equation y = 3x + 10 can be written in function notation as f(x) = 3x + 10. This notation expresses the relationship between the two variables x and y, where y is a function of x, represented by f(x) with a slope of 3 and a y-intercept of 10.

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What is y = 3x + 10 in function notation?

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The total distance Ryan drives during the 27 minutes of driving time is  20.5 miles.

Ryan delivers flowers to two customers and drives 12 minutes at an average speed of 40 miles per hour to reach the first customer and 15 minutes at an average speed of 50 miles per hour to reach the second customer.

To find the total distance that Ryan drives during the 27 minutes of driving time, we can use the formula: distance = speed x time

We know that Ryan drives 12 minutes at 40 miles per hour and 15 minutes at 50 miles per hour. So we can use the formula to find the distance for each part of the trip and then add them together:

distance = 40 miles/hour x (12 minutes / 60 minutes/hour) = 8 miles

distance = 50 miles/hour x (15 minutes / 60 minutes/hour) = 12.5 miles

The total distance Ryan drives during the 27 minutes of driving time is 8 miles + 12.5 miles = 20.5 miles

Therefore, The total distance Ryan drives during the 27 minutes of driving time is  20.5 miles.

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Answer: 39 1/5

Step-by-step explanation:

7/10 + 1/2 + 38

= 7/10 + 5/10 + 38

= 12/10 + 38

= 38 12/10

= 39 2/10

= 39 1/5

If the 38 was supposed to be 3/8, heres the answer :

7/10 + 1/2 + 3/8

= 28/40 + 20/40 + 15/40

= 63/40

= 1 23/40

Answer:

Step-by-step explanation:do 1/8 *2/5*=

Using the formula of Pythagorean Theorem we can find a 45 degree triangle.

The degrees of the triangle's three inner angles give rise to its name, 45, 45, and 90. The triangle formed by the angles 45, 45, and 90 is said to be isosceles since two of the angles are less than the third.

Due to the fact that this triangle has one angle that is precisely 90 degrees, it is also regarded as a right triangle.

The following guidelines apply to the 45-45-90 triangle's characteristics:

1. There must always be a right angle in one angle.

2. The second pair of angles must always be 45-degree angles.

3. A triangle has two equal-length sides, but the third side is always longer.

Using the Pythagorean Theorem - Since a 45-45-90 triangle has a right angle, the length of its sides may be calculated using the Pythagorean Theorem.

Recall the formula for the Pythagorean Theorem:

a^2 + b^2 = c^2.

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All the multiples of 8 represents they are even numbers because of the following property:

Odd × even = Even

As given in the question,

Given number is equal to 8,

Multiples are those numbers which we get after multiplying the given number to any of the integer.

Multiples of 8 are equal to:

8, 16, 24, 32, 40, 48, 56, ..... so on.

Even numbers are those numbers which get divided by 2 without leaving the remainder.

Odd × odd = Odd

Even × even = even

Odd × even = Even

When we multiply any number by an even number result is always an even number.

Example:

2 (even) × 2(even) = 4(even)

2  (even) × 3 (odd ) = 6 (even)

Here

8 is an even number multiplying any integer to 8 is always an even number.

Therefore, all the multiples of given number  8 are always an even number as Odd × even = Even.

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Answer:

Step-by-step explanation:

The layaway fee for this purchase should be considered as the $60 when the purchase should be done.

Marty is making a layaway purchase of a $1,500 couch at Frank’s Furniture Store. He will be paying $156 every 2 weeks for 20 weeks

So, it can be like

= $1,560 - $1500

= $60

The layaway fee for this purchase should be considered as the $60 when the purchase should be done.

The area of the shaded section is approximately equal to 219.711 square meters.

In this problem we find the case of a shaded section, whose area must be determined. This can be realized by finding the area of rhombus OPQR and subtract the circular section OPR from it. All missing lengths of the triangles from the rhombus can be found by trigonometric functions.

The formula to determine the area of the shaded area is:

A = 2 · 0.5 · OR · RQ - (140 /360) · π · OR²

RQ = OR · tan 70°

If we know that OR = 12 m, then the area of the shaded section is:

RQ = 12 · tan 70°

RQ = 32.970

A = 2 · 0.5 · OR · RQ - (140 /360) · π · OR²

A = OR · RQ - (7π / 18) · OR²

A = 12 · 32.970 - (7π / 18) · 12²

A ≈ 219.711 m²

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