Please help I am not sure how to solve this

The linear equation can be written as:

y = (3/2)*x - 21/5

A general linear equation can be written as:

y = m*x + b

Where m is the slope and b is the y-intercept.

First, we know that our line has the same slope than:

3x - 2y = 12

Rewriting that we will get:

3x - 2y = 12

3x - 12 = 2y

(3/2)x - 12/2 = y

So the slope of this line is (3/2).

And our lie has the same y-intercept as 5y + 21 = 4x

We can rewrite that to get:

5y = 4x - 21

y = (4/5)x - 21/5

The y-intercept is -21/5

Then the linear equation is:

y = (3/2)*x - 21/5

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Answer:

64 is not divisible by 6 because although it is divisible by 2, it is not divisible by 3 so it is not divisible by 6.

Step-by-step explanation:

Answer:

I honestly don't know I just need points

Answer:The answer is 20000

Step-by-step explanation:

The value of length AC is,

⇒ AC = 31

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 lengths are,

AB = 12 and BC = 19

Now, If the points A, B and C are colinear.

Then, The value of length AC is,

⇒ AC = AB + BC

⇒ AC = 12 + 19

⇒ AC = 31

Thus, We get;

⇒ AC = 31

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Sure! To reduce the fraction 5 to its lowest terms, we need to find the greatest common factor of 5 and divide both the numerator and denominator by it.

The greatest common factor of 5 and 5 is 5, so we divide both the numerator and denominator by 5 to get:

5 / 5 = 1

So, 5 reduced to its lowest terms is 1.

To make it kid-friendly, you could explain it like this: "We can simplify the fraction 5 by dividing the top and bottom by the biggest number that they both share. In this case, 5 is the biggest number that 5 and 5 share, so we divide both 5 and 5 by 5 to get 1."

The truth value for the logical proposition is 1) T 2) F 3) T 4) F 5) T

The rules of mathematical logic specify methods of reasoning mathematical statements. Greek philosopher, Aristotle, was the pioneer of logical reasoning. Logical reasoning provides the theoretical base for many areas of mathematics and consequently computer science. It has many practical applications in computer science like the design of computing machines, artificial intelligence, the definition of data structures for programming languages etc.

Propositional Logic is concerned with statements to which the truth values, “true” and “false”, can be assigned. The purpose is to analyze these statements either individually or in a composite manner

the truth value of the following statements if the universe of discourse of each variable is the set of real numbers. Enter your answer as T or F.

1) there exists x for all y xy=0  is true     T

2) there exist x x2=-1                               F

3) for all x2=y                                           T

4) for all x there exist  x=y2                     F

5) for all x not equal to zero xy=1           T                            

The complete question is -

the truth value of the following statements if the universe of discourse of each variable is the set of real numbers. Enter your answer as T or F.

1) there exists x for all y xy=0  is true    

2) there exist x x2=-1                              

3) for all x2=y                                          

4) for all x there exist  x=y2                    

5) for all x not equal to zero xy=1      

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If the diameter of the tub is 8 inches, then the height of gallon tube is,  5.25 inches

Surface area is the sum of the areas of all the faces (or surfaces) of a three-dimensional object. It is a measure of how much area the surfaces of an object take up in two dimensions. The surface area of a solid can be found by adding up the areas of its faces.

The surface area of a cylinder can be expressed as:

SA = 2πr² + 2πr x h

where r is the radius of the cylinder, h is its height, and π is the constant pi (3.14).

The diameter of the tub is 8 inches, which means the radius is 4 inches. We are also given that the total surface area is 232.36 square inches.

So we can write:

232.36 = 2(3.14)(4²) + 2(3.14)(4)(h)

Simplifying and solving for h, we get:

232.36 = 100.48 + 25.12h

131.88 = 25.12h

h = 131.88/25.12

h ≈ 5.25 inches

Therefore, the height of the ice cream tub is approximately 5.25 inches.

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Answer:

the anwser is 5

Step-by-step explanation:  5

Answer:

Larger number: 29

Smaller number: 13

Step-by-step explanation:

29 + 13 = 42

29 - 16 = 13

Answer:

Larger number: 29

Smaller number: 13

Step-by-step explanation:

x = larger number

y = smaller number

x+y=42

29-13 = 16

29+13=42

By the equation formed by the relation to build 5 feet tall tower, Erica will need 20 bricks.

An equation is a mathematical statement consisting of two expressions joined by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation gives the value of the variable x as x = 7. 

According to the information given in the question:

1 brick = 1/4 Feet

Which means, 4 bricks = 1 feet

As Erica wants to make 5 feet tall tower,

5 feet tower = 5 x 4

                     = 20 bricks

Hence, Erica will need 20 bricks to build 5 feet tower.

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The number line of the inequality is (d)

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

3x+2≤4x+5≤9

When this is expanded, we have

3x + 2 ≤ 4x + 5 and 4x + 5 ≤ 9

Evaluate the like terms

So, we have the following representation

-x ≤ 3 and 4x ≤ 4

Divide by the coefficient of x

x ≥ -3 and x ≤ 1

When combined, we have

-3 ≤ x ≤ 1

So x is between -3 and 1, inclusive.

This is represented by the number line (d)

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2016 is the year in which the average gas mileage is the greatest.

An equation contains one or more variables connected by an equal sign.

Example:

1x + 2 = 99 is an equation.

We have,

y = -0.4 (x - 3)² + 42

where x = the number of years since 2013.

y = average gas mileage

Now,

In 2016,

x = 3

y = -0.4 (3 - 3)² + 42

y = 0 + 42

y = 42

This is the greatest value for any x value.

Thus,

In 2016, the average gas mileage for new vehicles sold is the greatest.

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On solving the Power equals Current times voltage as an equation we get power is P = VI

A mathematical equation is a fοrmula that joins twο statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of twο mathematical expressions is knοwn as an equation in algebra. For instance, in the equatiοn 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the twο sentences οn either side of a letter is described by a mathematical fοrmula. Often, there is only οne variable, which also serves as the symbol. fοr instance, 2x – 4 = 2.

Given to write

Power equals current times voltage

in mathematical equation, i.e.

P = V × I

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Answer:

Step-by-step explanation:

To find the probability of the sum of two randomly selected numbers from a set being greater than 12, we need to first find the total number of possible combinations of two numbers and then count the number of combinations that result in a sum greater than 12.

The set contains four numbers, so there are 4 choose 2 possible combinations of two numbers, which is equal to (4! / (2! * (4 - 2)!)), or 6 combinations. These combinations are:

(0,6), (0,12), (0,15), (6,12), (6,15), (12,15)

Next, we'll count the number of combinations that result in a sum greater than 12. These combinations are:

(6,15), (12,15)

There are 2 combinations that result in a sum greater than 12.

Finally, to find the probability, we'll divide the number of favorable outcomes (combinations with a sum greater than 12) by the total number of outcomes (all possible combinations of two numbers), and express the result as a fraction:

probability = 2 / 6

Reducing the fraction, we get:

probability = 1 / 3

So, the probability that the sum of two randomly selected numbers from the set is greater than 12 is 1/3.

That's how you find the probability of the sum of two randomly selected numbers from a set being greater than a certain value. By counting the number of favorable outcomes and dividing by the total number of possible outcomes, you can find the probability of a certain event.

The number of hours Maria rent the kayak for the paid amount of $40 when hourly rate is $5.50 is equal to 6 hours.

Fees of renting charges paid for kayaks from a local shop = $7

Hourly rate = $5.50

Let 't' be the number of hours Maria rent kayak.

Total fees paid by Maria for renting kayak for 't' hours is equal to $40

Required equation to represents the above condition is

$40 = $7 + $5.50t

Simplify the expression to get the value of 't'

⇒ 5.50t = 40 - 7

⇒ t = 33 / 5.50

⇒ t = 6 hours

Therefore, for the number of hours Maria rent kayak by paying total of $40 is equal to 6 hours.

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The required angle of the elevation at point C to A is given as ∠C = 31°.

The angle of elevation is the angle between a horizontal line of sight and a line of sight that is directed upwards to an object or point. In other words, it is the angle between the horizontal and an observer's line of sight to an object above the observer

Here,
A figure has been shown, Consider triangle ABC, where ∠A = 59, ∠B = 90°,
Since the sum of the angle in the triangle should be 180°.
∠A + ∠B + ∠C = 180
∠C + 90 + 59 = 180
∠C = 90 - 59
∠C = 31°

Thus, the required angle of the elevation at point C to A is given as ∠C = 31°.

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Answer:

Step-by-step explanation:

Answer:

(-4,-2)

Step-by-step explanation:

Answer: (-4,-4)

Step-by-step explanation: the y- coordinate stays the same you would have to move the x-coordinate only which would give you -4. Because you are adding 2 to -6.

Answer: the maximum score was 10 feet.

Step-by-step explanation:

here's a step-by-step explanation:

Identify the minimum score: The minimum score is given in the problem as 4 feet.

Identify the range: The range is also given in the problem as 6 feet.

Calculate the maximum score: To find the maximum score, we simply need to add the minimum score and the range.

Maximum score = Minimum score + Range

Maximum score = 4 feet + 6 feet

Maximum score = 10 feet

So the maximum score was 10 feet.

The triangles ΔPQM and ΔPRM are congruent. Then angle Q is identical to angle R.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The line segment PM is the median of the isosceles triangle ΔPQR.

Point M is the midpoint of QR by the definition of the median.

In triangles ΔPQM and ΔPRM, then we have

PQ = PR                   {Given}

QM = RM                 {Mid point}

MP = MP                  {Reflexive property}

The triangles ΔPQM and ΔPRM are congruent to each other by SSS postulates.

∠Q = ∠R

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The complete question is given below.

The line segment PM is the median of the isosceles triangle ΔPQR. Drag and drop a statement or reason to each box to complete the proof.

Given: PQ ≅ PR

Prove: ∠Q ≅ ∠R

The volume of the composite figure is 2592 cubic feet.

The area that any composite shape covers is known as the area of composite shapes. The composite shape is a shape created by joining a small number of polygons to create the desired shape. These shapes or figures can be constructed from a variety of shapes, including triangles, squares, quadrilaterals, etc. To calculate the area of a composite object, divide it into simple shapes such a square, triangle, rectangle, or hexagon.

The volume of the figure = Volume of the mounted object + Volume of the base object.

The volume of the mounted object is:

V = (l)(b)(h)

V = (9)(12)(6)

V = 648 cubic feet.

The volume of the base object is:

V = (l)(b)(h)

V = (27)(12)(6)

V = 1944 cubic feet.

The total volume of the composite figure is:

V = 648 + 1944

V = 2592 cubic feet

Hence, the volume of the composite figure is 2592 cubic feet.

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Answer: A. Parallelogram

Step-by-step explanation:  A parallelogram is a four-sided polygon with opposite sides that are parallel and equal in length.

Answer:

Step-by-step explanation:

The ansewr is C

Answer: 523.3cm^3

Step By Step Explanation:-The volume of a sphere can be calculated using the formula:

V = (4/3) * π * r^3

where r is the radius of the sphere. The diameter of the sphere is 10 cm, so the radius is half of that, or 5 cm.

Substituting the radius into the formula, we get:

V = (4/3) * π * (5 cm)^3

= (4/3) * π * 125 cm^3

= approximately 523.6 cm^3

So, the closest measurement to the volume of the sphere in cubic centimeters is approximately 523.3 cm^3.

The rate of the passenger's train is given as follows:

60 miles per hour.

Velocity is distance divided by time, hence the following equation is built to model the relationship between these variables:

v = d/t.

For the passenger train, the equation is given as follows:

v = 240/t.

vt = 240

t = 240/v.

For the freight train, the velocity is 20 miles slower than for the passenger train, hence:

v - 20 = 160/t

v = 160/t + 20.

Replacing the first equation into the second, the rate of the passenger train is obtained as follows:

v = 160v/240 + 20

v = 2v/3 + 20

v/3 = 20

v = 60 miles per hour.

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Answer: 0

Step-by-step explanation:

1/2x = -1/2x cannot be true for any other value of x except when x equals 0. In other words, we need the left and right sides to equal each other, but that would only happen when x=0.