Silas and Lilly attended a math conference. The total registration fee was $327.50. If each person paid the same amount, which equation
represents the amount each person paid?
A 2x = 327.50
B 1/2x = 327.50
C x + 2 = 327.50
D x - 2 = 327.50

Three-dimensional space is a geometric concept that involves three values, known as coordinates, to determine the position of an object. These three coordinates are known as length, width, and height. It can also be referred to as x, y, and z coordinates.

1. Understand the concept of three-dimensional (3D) space. Three-dimensional space is a geometric concept that involves three values, known as coordinates, to determine the position of an object.

2. Identify the three coordinates. These three coordinates are known as length, width, and height. They can also be referred to as x, y, and z coordinates.

3. Determine the coordinates of a specific point. To find the exact coordinates of a point in 3D space, you must determine the length, width, and height of that point.

4. Use the coordinates to calculate the distance between two points. To calculate the distance between two points in 3D space, you must use the Pythagorean Theorem to determine the length of the hypotenuse.

5. Visualize the 3D space. To better understand 3D space, you can use tools such as 3D modeling software to create a virtual representation of the space.

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A two-step equation is an algebraic issue that can be resolved in two steps.

Two-step equations typically take the form ax b = c, where a, b, and c are real numbers.

For instance, 2 - 3x = 7 is an illustration of a two-step equation.

Use the following steps to solve 2-step equations:

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Answer:

Two step equations are algebraic equations and are the equations that can be solved in exactly two steps and gives the final value of the variable in two steps.

Step-by-step explanation:

Example 1: Solve the two step equation (x/6) - 7 = 11

Solution: To solve the given two step equation, we will follow the steps discussed above in the article.

Step 1: Add 7 to both sides of the given two step equation

(x/6) - 7 + 7 = 11 + 7

= (x/6) = 18

Step 2: Multiply both sides of the equation by 6.

6 × x/6 = 6 × 18

= x = 108

Answer: Hence the solution to the given two step equation (x/6) - 7 = 11 is x = 108.

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The degree of 2x² 5x² 7 is 4.

The degree of a polynomial is the highest power of the variable in a given polynomial. In this case, the highest power of the variable is 4, making the degree of the polynomial 4.

We can calculate the degree by using the formula Degree = Max (exponent of x).

In this case, the exponent of x is 2 and 5 respectively, making the degree of the polynomial 4.

Therefore, the degree of the polynomial 2x² 5x² 7 is 4.

To calculate this, we can use the following formula:

Degree = Max (exponent of x)

For the given polynomial 2x² 5x² 7, we can calculate the degree as follows:

Max (2, 5) = 5

Therefore, the degree of the polynomial 2x² 5x² 7 is 5.

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The table for the farmer buying dubbles is given below.

What is a graph?

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.

Let the time be represented by the variable = x.

Let the number of dubbles be represented by the variable = y.

At x = 11, the number of dubbles y = 88.

Every hour, the farmer bought 6 more of them.

So, at x = 12 the number of dubbles y = 88 + 6

So, the table will be of the formula (x,y+6).

Therefore, the table for the graph is obtained.

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The equation that represents circles that have a diameter of 12 units and a center that lies on the y-axis is,

⇒ x²+ (y - 6)² = 36

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Now, We know that;

The standard form for finding the equation of a circle is expressed as;

⇒(x - a)² + (y - b)² = r²

where; (a, b) is the center of the circle and r is the radius of the circle.

Here, we have;

⇒ Diameter = 12 units

⇒ Radius = 12/2 = 6 units

Since, The center lies on the y-axis,

Hence, the center will be at (0, 6).

Substituting into the formula, we will have;

⇒ (x - 0) + (y - 6)² = 6²

⇒ x² + (y - 6)² = 36

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3×3/4 is the expression which gives the 2.25 miles  mala walks her dog each day.

An expression is combination of variables, numbers and operators.

Given that mala walk her dog 3 times a day

Each walk is 3/4 mile.

We have to find the expression tell how many mile mala walks her dog each day.

The miles walk by Mala and her dog=3×3/4

=9/4

=2.25 miles.

Hence, 3×3/4 is the expression which gives the 2.25 miles  mala walks her dog each day.

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It is not possible to construct a triangle whose sides are 3 cm 4 cm and 7 cm because the sum of two sides(3 cm and 4 cm) are equal to the third sides(7 cm). The equal sides can not form a triangle.

In the given question, we have to check that it is possible to construct a triangle whose sides are 3 cm 4 cm and 7 cm.

To check whether the given sides can make a triangle or not, we have to check that the sum of two sides always grater than the third side.

To check this we firstly add the 3 and 4

3 + 4 = 7

7 = 7

Now we add 3 and 7

3 + 7 > 4

10 > 4

Now we add 4 and 7

7 + 4 > 3

11 > 3

It is not possible to construct a triangle whose sides are 3 cm 4 cm and 7 cm because the sum of two sides(3 cm and 4 cm) are equal to the third sides(7 cm). The equal sides can not form a triangle.

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The complete question is:

Can you form a triangle using lengths 3cm 4 cm and 7 cm?

If P(terriers) = 15%, the interpretation of the likelihood of randomly selecting a terrier from the shelter is; Unlikely

Probability of selection is one that defines the probability that a population unit is included in a sample generated by probability sampling.

For any population, the probability of any element within that population to be selected into a sample is calculated as the sample size divided by the population size.

In this case, we are told that the dog shelter has Labradors, Terriers, and Golden Retrievers available for adoption. There are three types of dogs.

We are given;

P(terriers) = 15%

This means the probability of randomly selection the other 2 dogs is way higher than that to select terriers.

Thus, we conclude that the probability of selecting terriers is unlikely due to its' low probability.

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Answer: B: Unlikely

Step-by-step explanation:

Answer:

I think of bills/notes.

Step-by-step explanation:

Money is the mode or medium of exchange for goods and services.

Currency is a type of money that is used as a medium of exchange in a specific country or region. It is a standardized unit of value that is accepted as payment for goods and services within the jurisdiction where it is used. Currency can take the form of physical banknotes and coins, or digital representations of money that can be used for online transactions.

Here,

Money is medium of exchange or a unit of account that is used to purchase goods and services. It is a tangible or intangible asset that represents value and is accepted by individuals, businesses, and governments in exchange for goods or services. Money is a fundamental component of modern economies, and its importance cannot be overstated.

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The given statement "number 3 to exponent 4" in exponential form is be written as 3⁴ , and the value of this expression is 81 .

The Exponential expression represented as "xⁿ" is read as the number x multiplied by itself "n" number of times .

we have to write "3 to exponent of 4" in exponential form ,

So , the exponential form is 3⁴ , it means that the number 3 is multiplied itself four times ;

the value of this expression is calculated as :

⇒ [tex]3^{4} = 3\times 3\times 3\times 3[/tex]

⇒ [tex]9\times 9[/tex]

⇒ 81 .

Therefore , the exponential form of "3 to the exponent of 4 " is 3⁴ .

The given question is incomplete , the complete question is

What is the exponential form of 3 to the exponent 4 ?

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Actually forget this answer

Answer:

see below

Step-by-step explanation:

a. 1+3x = 3x + 1 --> infinite, it's the same thing

b. 4x + 1 = 3x + 2 --> x=1 one solution

c. 5x + 1 = 5x - 2 --> no solution. it's not possible

d. -3(x+1)=-3x+3 --> x=-1, one solution

The requried value of the proportional value of p when q = 2 is given as 245.

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

here,
p ∝ 1 / q²

So,
p₁/p₂ = q₂² / q₁²
Substitute value in the above equation,
20/p = 2²/7²
20 ×49 / 4 = p
p = 245

Thus, the requried value of p when q = 2 is given as 245.

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There is a linear relationship between exercise intensity and cardiac output. Therefore, when one rises, the other rises as well.

Cardiac output quantifies the volume of blood that your heart can pump in a minute. The phrase "exercise intensity" refers to how hard your body is working throughout a workout. These two are directly related to one another in some way.

The increase in cardiac output is linearly associated with exercise intensity up until the point of exhaustion. This happens as a direct result of the interaction between the heart rate and stroke volume reactions to the intensity of activity. Therefore, cardiac output will increase as exercise intensity does.

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Answer:

It's D, because the point intercepts at (0, 3), which is 3 up from the y position. What the difference is from this graph and the others is that this graph has a y-intercept of positive 3, and starts at an x point of -3. The x and y values should be inverted in order for this to be correct, so that is why option D is correct.

Hope this helps!

Answer: 2x+2y+10

Step-by-step explanation:

Yo, whats good.

You basically want to simplify the same terms. For example, you can simplify 6x and -4x. You want to reorder everything so you can simplify it.

6x-4x+2y+3+7

= 2x+2y+10

lol have fun

The equation does not represent the graph

The equation is given as

f(x) =3x² + 6x - 24

Calculate f(0) and f(1)

f(0) =3(0)² + 6(0) - 24 = -24

f(1) =3(1)² + 6(1) - 24 = -15

On the graph, we have

f(0) = -16

This means that the equation is not the graph

This is when x = 0

So, we hav

f(0) = -16

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

The graph

The vertex of a graph is the minimum or the maximum of a graph

In this case, it is a minimum and the minimum is located at (-1, -18)

Hence , the vertex is (-1, -18)

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The total number of baseball cards that Peter owns is 154.

Mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another.

Two amounts are compared using division in a ratio. In this case, the dividend is referred to as the "antecedent" and the divisor as the "consequent."

Given that,

Peter owns a total of one hundred and forty-four prized baseball cards.

He adds seven more American League players and three more national league players.

Total baseball cards he owns = 144+ 7+3 = 154

The ratio of American to national = 9:5 = 9/5 = 1.8

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The simplified exponential notation of the given expression is 9[tex]a^{2}b[/tex].The following polynomials, then put the resolution in the right spot.

A mathematical expression is a sentence with at least two variables or integers and one mathematical action. Addition, subtraction, multiplication, or division are all possible outcomes of this mathematical process. The following are the fundamental parts of an expression: Expression: (Math Operator, Number/Variable, Math Operator). A statement that has a least two numbers or variables, at least one mathematical operation, and is called a mathematical expression. Let's get acquainted with expressive writing. A number is 6 more than half of another number, which is known as x. This statement is written as x/2 + 6 in a mathematical expression.

given

the expression as:

=[tex](\frac{18}{2})( \frac{a^{3} }{a})(\frac{b^{2} }{b})[/tex]

know  [tex]\frac{a^{m} }{a^{n} } = a^{m - n}[/tex]

So,   =[tex](\frac{18}{2})( \frac{a^{3} }{a})(\frac{b^{2} }{b})[/tex] =  9[tex]a^{2}b[/tex].

The simplified exponential notation of the given expression is 9[tex]a^{2}b[/tex].The following polynomials, then put the resolution in the right spot.

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The line of the best fit for the data points plotted in the scatter plot is y = 0.67x + 4.05

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

The graph

Using the line of the best fit, we have"

(x, y) = (0, 4) and (7, 9)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 4

Using the points, we have

9 = 7m + 4

This gives

m = 0.71

So, we have

y = 0.71x + 4

The closest to this is

y = 0.67x + 4.05

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Answer:

Using Words: The total area of the house and deck is given by the sum: 40x20 + x(13x) .

Using Symbols: The total area of the house and deck is given by the sum: 800 + 13x^2 ft².

Step-by-step explanation:

Answer: 10 made the honor roll

Step-by-step explanation:

The normal approximation to the binomial distribution is possible in the following case: C. n = 40; p= 0.3

The binomial distribution is defined as the probability of x successes on n trials, with (p) probability of a success on each trial. It can be approximated to the normal distribution with the formula;

Mean; μ = np

Standard deviation; σ = √(np(1 - p)

The conditions are;

np ≥ 10

√(np(1 - p) ≥ 10

Looking at the given options, the only one that fits this conditions is Option C because;

np = 40 x 0.3 = 12.

n(1 - p) = 40 x 0.9 = 36

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50%

because a coin only has 2 sides, resulting with a 50/50 chance of either option

The Volume of the Bluetooth speaker is 0.36cm³

The capacity of the Bluetooth speaker = Volume of both the hemispherical parts + Volume of the cylindrical part

Given that,

The volume of a hemisphere of radius 'r' = 2/3πr³

The volume of a cylindrical = πr²h where r is

the radius of the base of the cylinder and h is the height.

The hemisphere and the cylinder will have the same radius r =0.25cm

Since the total length of the toy is 2 cm, the length of the conical part

will be 2−0.25−0.25=1.5cm

Hence, the Volume of the bluetooth speaker =2×( 2/3*22/7 *0.25³) + (22/7 *0.25²*1.5) = 0.36cm³

Correct question: A BlueTooth speaker is in the shape of a cylinder of diameter 0.5 cm with two hemispheres stuck to each of its ends. The length of the entire capsule is 2 cm The capacity of the Bluetooth speaker is?

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Therefore , the solution of the given problem of inequality comes out to be (x,y) = (1,4).

An inequality in mathematics is a relationship between two concepts or variables that isn't comparable. Therefore, inequality follows imbalance. When two integers are not equal, there is an inequality in mathematics. Egality and inequality are different. When two values aren't genuinely equal, the not equal basic is usually used to indicate this (). The values, whether tiny or huge, are contrasted using a variety of inequalities. By alternating the two characteristics until the constants integers become the only thing left, it is possible to solve many straightforward inequalities. However, a few things promote inequality: Negative values are halved or added to either side.

Here,

Given :

y≤ 3x+1

x-y>1

To find the value of x and y :

y≤ 3x+1

put the value of y

=> x - 3x -1 > 1

=> -2x -1>1

=>-2x > 2

=> -x>1

=>x >-1

x =1

Thus,

y≤ 3(1)+1

=> y ≤  4

Therefore , the solution of the given problem of inequality comes out to be (x,y) = (1,4).

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d = 0.4 p, where the sales price of the bookshelf is $51, is the function that depicts the percentage off of a regular price.

When an item's price is lowered, it is said to be on sale. Multiplying the cost of an item by the % discount will give you the discount's value.

Discount = Original Price × Percentage Discount

$85 × 40%

$85 × 0.4 = $34.

Original cost less any discounts equals sales price.

$85 - $34 = $51.

The discount is the amount that separates an item's selling price from its marked (or list) price. Discount is therefore calculated as follows: Discount=List price – Selling price. Take advantage of deals like the buy one, get one free promotion or 15% off shirts, for instance. On an item with a price per hundred displayed, you have a percentage discount. An item that was previously priced at Rs. 1,000 is now being offered for Rs. 900 thanks to a 10% percentage discount.

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Answer:

8/5, -5/8

Step-by-step explanation:

[tex]5x+8y=-8 \\ \\ 8y=-5x-8 \\ \\ y=-\frac{5}{8}x-1[/tex]

So, the slope of the given line is -5/8.