Andi bought 1 hot dog and 2 sodas. The hotdog cost 1.99 and the total cost was $6.49. How much did each soda cost?

The smallest integer value in the set is 7.

The grouping of positive and negative numbers is known as integers. Integers, like whole numbers, do not include the fractional portion. Integers can therefore be defined as numbers that can be positive, negative, or zero but not as fractions.

Since an integer is a whole number, it can reach both positive and negative infinity. 0 is the smallest non-negative number.

Consider the given term as -3(x-4) = 12

Then, -3x + 12 = 12

or, -3x = 0

or, x = 0

So, the value of x is either x > 0 or x < 0

Based on the given option, the smallest integer value is 7.

So, the required answer is 7.

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Note that the line of Best fit is attached accordingly. See the definition below.

A line of best fit is a straight line that represents the trend of a set of data.

It is used to summarize and analyze the relationship between two variables in a scatter plot. Note that the line of best fit can be used to approximate the trend or pattern of the data and make predictions for new observations that fall within the range of the data.

The line is drawn in a way that minimizes the distance between the observed data points and the line.

The line of best fit can be used to make predictions and identify outliers. It is important because it helps to reveal patterns and trends in data and allows us to make informed decisions based on the information.

Note that the line takes a position that gives an approximately equal amount of variables or data points on either side.

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Answer:

The value of x =10

Step-by-step explanation:

2x+ 5 = 25

Subtract 5 from each side.

2x+5-5 = 25-5

2x = 20

Divide each side by 2.

2x/2 = 20/2

x =10

The value of x =10.

Answer:

10

Step-by-step explanation:

Move the 5 to the right so the equation is 2x = 25 - 5
Then its 2x = 20 and 20/2 is 10.

The information given is not sufficient to solve for the number of hours the remaining 2 tractors worked to finish harvesting the field.

To solve for this, additional information is required such as the mowing speed of each tractor, the size of the field, and the amount of the field that was mowed before the 3 tractors left the job.

With this information, you can determine the total mowing time required to mow the entire field, and then subtract the 6 hours the 5 tractors worked together to find the time the remaining 2 tractors worked.

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Answer:(1,7.5)

Step-by-step explanation:

Use Midpoint Formula

Answer:  a. What is the proportion of current smokers among the 1685 high school students surveyed?

The proportion of current smokers among the 1685 high school students surveyed is 437/1685 = 0.259 or 26%.

b. What is the point estimate for the population proportion of all high school students who smoke?

The point estimate for the population proportion of all high school students who smoke is 0.259.

c. What is the 95% confidence interval for the population proportion of all high school students who smoke?

The 95% confidence interval can be calculated using the formula:

point estimate ± 1.96 * standard error

where standard error = square root of (point estimate * (1 - point estimate) / sample size)

standard error = square root of (0.259 * (1 - 0.259) / 1685) = 0.012

95% confidence interval = 0.259 ± 1.96 * 0.012

= 0.259 ± 0.023

= [0.236, 0.282]

So, the 95% confidence interval for the population proportion of all high school students who smoke is between 23.6% and 28.2%.

Step-by-step explanation:

The command in Stata would be the most useful is reg when  you want to combine this with a dataset that reports how much each individual sleeps per week.

A collection of data is known as a data set (or dataset). In the case of tabular data, a data set relates to one or more database tables, where each row refers to a specific record in the corresponding data set and each column to a specific variable. The data set includes values for each of the variables, such as the object's height and weight, for each set member. Data sets may also include a group of files or documents.

For data management, visualisation, statistics, and automated reporting, Stata is a general-purpose statistical software programme created by StataCorp. Researchers in a variety of disciplines, such as science, biomedicine, epidemiology, and sociology, use it.

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Options A and C are correct for the condition 5 x 4 = 20.

A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.

Factors can be found using either division or multiplication. Rules of divisibility can also be applied.

Given 5 x 4 = 20

factors of 20 are 2*2*5

so 5 is the factor of  20,

A is correct.

now multiples of 20 are 20, 40, 60.......

since all values are greater than 5,

so 5 is not a multiple of 20.

B is not correct.

now multiples of 4 are 4, 8, 12, 16, 20, 24 .......

so 20 is a multiple of 4,

C is correct.

Hence A and C are correct statements.

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Step-by-step explanation:

We have the point (-8, 7)

When we reflect across the X-AXIS, then the Y coordinate changes signs

When we reflect across the Y-AXIS, then the X coordinate changes signs

So when we reflect (-8, 7) across the x-axis, it becomes (-8, -7) since we change signs for the Y coordinate from +7 to -7

Reflecting across the Y, it becomes (8, 7), because we change signs from -8 to +8

Dragging each description to explain each part of Hasan's and Bella's expressions is as follows:

d = Original price of book

0.25 = Percent Discount

0.25d = Amount of Discount

d - 0.25d = Sale price of book

0.75 = Percent of original price Bella will pay

d = original price

0.75d = Sale price of book

An algebraic expression is a combination of variables, constants, numbers, and values using the mathematical operands, including addition (+), subtraction (-), division (÷), and multiplication (×).

An algebraic expression does not have the equal symbol (=) unlike an equation.

Thus, the correct descriptions has been dragged to each part of both Hasan's and Bella's expressions.

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Answer:

26

28

29

Step-by-step explanation:

[tex]m = a + 20[/tex]

Anywhere you see the letter a, you'll plug in the given a number.

The first one is 6, meaning

[tex]m = 6 + 20 = 26[/tex]

Then we do the same for the others.

The sign of the expression is positive, since the result is positive.

An algebraic expression is a mathematical phrase that can contain numbers, variables, and operations. Algebraic expressions are used to represent mathematical relationships and can be simplified, evaluated, and solved for particular values of the variables.

Algebraic expressions can be simple, such as a single variable or number, or complex, involving multiple variables, operations, and grouping symbols, such as parentheses. For example, the expression "x + 2" is a simple algebraic expression, where "x" is the variable and "2" is the constant term.

In algebra, variables are used to represent unknown values and the goal is often to find the value of these variables that satisfy a given condition or equation. Algebraic expressions can be simplified by combining like terms and applying the properties of arithmetic operations.

Algebraic expressions are also used to represent mathematical functions. A function is a relationship between an input value and an output value, where each input value corresponds to exactly one output value. Algebraic expressions can be used to define a function, and can also be used to find the value of the function for a particular input.

The expression 39 11 13​ +(−41 131​ )39, 11/13 + (−41/13) simplifies to 39 11 13​ +(−41 131​ )39, 11/13 + (−41/13) = 39 11 13 - 41 131​ = (39 × 13 - 41 × 11) / 13 = (507 - 451) / 13 = 56 / 13 = 4.

The sign of the expression is positive, since the result is positive.

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The best prediction that the coin would land on heads wold be 6

If you flip a fair coin 12 times, the best prediction for the number of times it will land on heads is 6. This is because each flip has an equal chance of landing on heads or tails, and if you flip a fair coin 12 times, the expected number of heads is 6. This is because each flip has a 50% chance of landing on heads.

In the coin, there are going to be 6 changes foe head and also 6 chains for tails. This is a 50 50 chance

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An equation of the line that passes through the given point and is perpendicular to the line shown in the graph are:

11. y = 5x - 1

12. y = 5x + 6

13. y = 5x + 23

14. y = 5x − 18

If two geometric objects in fundamental geometry intersect at a right angle, they are perpendicular. The perpendicularity condition is graphically represented by the perpendicular symbol (║). It can be defined between two lines, between a line and a plane, or between two planes.

The slope of the line in graph

m = (3 -(-2))/(-2 - - 1)

m = − 5

For perpendicular to the given line the slope is always opposite sign and reciprocal i.e.

m = 3/5

11. (1, 4)

y - 4= 5(x - 1)

y - 4= 5x - 5 +4

y = 5x - 1

12. (0, 6)

y - 6 = 5(x - 0)

y = 5x + 6

13. (-5, -2)

y - (-2) = 5(x - (-5))

y = 5x + 23

14. (3, -3)

y - (-3) = 5(x - 3)

y = 5x − 18

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Answer:

To enlarge a triangle by a scale factor of 1/2 with the center (2, 0), each vertex of the triangle should be multiplied by 1/2 and then shifted so that the center of the new triangle is (2, 0).

Step-by-step explanation:

For example, if the original triangle has vertices at (a, b), (c, d), and (e, f), the vertices of the new triangle would be at ((a-2)/2 + 2, (b-0)/2 + 0), ((c-2)/2 + 2, (d-0)/2 + 0), and ((e-2)/2 + 2, (f-0)/2 + 0).

We may determine that the values of x and y are -2 and -8, respectively, by replacing the linear equations.

A linear equation is a first-order (linear) term and a constant in an algebraic equation of the type y=mx+b, where m is the slope and b is the y-intercept.

The previous equation, which has the variables y and x, is sometimes referred to as a "linear equation with two variables."

The typical form for linear equations with two variables is Ax+By=C.

For instance, the linear equation 2x+3y=5 is in standard form.

Finding both intercepts of an equation in this style is quite easy (x and y).

The following is the equation:

y=4x ...(1)

x+y=-10 ...(2)

Now change equation (2) to y = 4x:

x+y=-10

x+4x=-10

5x = -10

x = -10/5

x = -2

Then, change equation (1) to read x = -2:

y = 4x

y = 4(-2)

y = -8

Therefore, we may determine that the values of x and y are -2 and -8, respectively, by replacing the linear equations.

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On solving the provided question, we can say that Sammy has 900 fish and 200 dies and equation will be => x - y = 700

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

Sammy has 900 fish and 200 dies

equation will be

x - y = 700

x = alive fishes

y = died fishes

remaining fishes are 700

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When computing the area of a circle, the mathematical constant pi () is required. Pi is the circumference-to-diameter ratio of a circle and is approximately equal to 3.14159.

The area of a circle is calculated by multiplying pi by the radius squared (r2). To estimate the area of a circle, utilize pi in the calculation since it is a vital aspect of the relationship between the circumference and diameter of a circle.

Pi is not required when determining the area of a square, rectangle, or cube since the formulas for these shapes are different.

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The question is -

The mathematical constant pi is needed when calculating the area of a _.

a. circle

b. square

c. rectangle

d. cube

Answer:

(4, 5)

Step-by-step explanation:

Add the two x values and divide by two, add the two y values and divide by two. Then put them in brackets and those are your coordinates.

If negative sixteen plus the quotient of a number and 2 is 35, the number is 102.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number = x

Negative sixteen plus the quotient of a number and 2 is 35.

This can be written as,

Quotient of a number and 2.

x ÷ 2 = M (quotient)

So,

-16 + M = 35

Now,

Solve for M.

M = 35 + 16

M = 51

Now,

x ÷ 2 = 51

x/2 = 51

x = 51 x 2

x = 102

Now,

We can cross-check.

-16 + 51 = 35

35 = 35

Thus,

The number is 102.

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The cost of a 15-minute call to this city would be $2.00.

The cost of a long-distance call to a certain city is typically $1.05 for the first minute and $0.15 for each additional minute or part thereof. This means that for each minute of the call, you will be charged $0.15 in addition to the first minute's charge. Therefore, for a 15-minute call to this city, you will be charged $1.05 for the first minute and 14 x $0.15 for the additional minutes, which comes to a total of $2.00. This price may vary depending on the phone carrier, but it is typically the same across the board. It is important to keep in mind that long-distance calls can become quite expensive, so it is important to be mindful of how much time you are spending on the phone.

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Step-by-step explanation:

Let s = the amount of flour in a batch of shortbread, let c = the amount of flour in a batch of croissants, and let p = the amount of flour in a pound cake.

The first statement can be written as 5s + 4p + 2c = 3525.

The second statement can be written as s + c + p = 1020.

The third statement can be written as 4p = 2c.

Multiplying the third equation by 2, we get 8p = 4c.

Subtracting this from the first equation, we get 5s + 4p + 2c - 8p = 3525 - 8p.

Simplifying, we get 5s - 6c = 3525 - 8p.

Now we have a system of two equations with the variables c and p:

5s - 6c = 3525 - 8p

s + c + p = 1020

We can use substitution to eliminate c. Solving the second equation for c, we get c = 1020 - s - p.

Substituting this into the first equation, we get 5s - 6(1020 - s - p) = 3525 - 8p.

Expanding the second equation and simplifying, we get 11s = 4545 - 8p.

Solving for s, we get s = (4545 - 8p) / 11.

Substituting the value of s into the second equation, we get c + p + (4545 - 8p) / 11 = 1020.

Expanding and simplifying, we get c + p + (4545 - 8p) / 11 = 1020.

Expanding, we get c + p = 1020 - (4545 - 8p) / 11.

Solving for c and p, we find that c = 664 grams and p = 356 grams.

Finally, the value of s is (4545 - 8 * 356) / 11 = 735 grams.

If d = 1/8t and t is a time and d is a distance then in this expression 1/8 is representing speed of the object.

The distance covered by the object is equal to the product of the speed at which the object is moving and time taken for covering the distance.

Distance = Time × Speed

Given that,

The expression,

d = 1/8t

where,

t = time

d = distance

which parameter 1/8 is indicating ?

The equation d = 1/8t describes a function that relates time (t) and distance (d) traveled.

The parameter 1/8 in the expression d = 1/8t is the rate of change of distance with respect to time.

It represents the amount of distance traveled in one unit of time.

In this case, 1/8 is the speed or velocity of the object being considered. It tells us that for every unit of time that passes, the distance traveled by the object increases by 1/8 units.

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The reduction of the fraction is (y-3)/4.

Suppose the fraction is proper (the numerator is smaller than the denominator).

Let it be [tex]\dfrac{a}{b}[/tex]

Then, we can interpret it as:

[tex]\dfrac{a}{b}[/tex]= a parts out of b parts of a thing.

There is a fraction, containing numerator(upper value) and denominator(lower value).

When the numerator is less than the denominator, the fraction is called proper fraction, otherwise it is called improper fraction.

A proper fraction is also called fraction which is less than 1.

And an improper fraction is ≥ 1

A mixed fraction contains a sum of whole number and a proper fraction.

Given;

=y^2-9/4y+12

=y^2-3^2/4(y+3)

=(y+3)(y-3)/4(y+3)

=y-3/4

Therefor, the answer of fraction will be (y-3)/4

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The total number of possible outcomes is the product of the number of outcomes for each event.

The spinner can land on any of its 5 sections on the first spin, and on any of the 5 sections again on the second spin. So there are 5 x 5 = 25 possible outcomes for the spinner.

The dice can land on any of its 6 sides.

The coin can land either heads or tails.

Therefore, the total number of possible outcomes is:

25 (spinner) x 6 (dice) x 2 (coin) = 300 possible outcomes.

The limit of the function in this problem is given as follows:

lim x->0 f(x) = 1/2.

Following the standard procedure to obtain the limit of the function, merely obtaining the numeric value at x = 1, the limit is undetermined at x = 0, as follows:

0/0.

Hence the can apply the L'Hospital Rule, trying to find the derivative at the numerator and the denominator, hence:

At x = 0, the limit would again assume an undetermined value of 0/0, hence the L'Hospital Rule is applied again, hence:

Now the function is:

f(x) = cos(2x)sqrt(cos(2x))/2.

Since cos(x) = 0, the numeric value at x = 0 is given as follows:

f(0) = 1/2.

Which is the limit.

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Answer:

Step-by-step explanation:

Let [tex]f(x) = y[/tex]

∴ [tex]y = \sqrt[3]{x + 2} -5[/tex]

x has to be isolated and made the subject of the formula:

[tex]y + 5 = \sqrt[3]{x + 2}[/tex]

Cube is applied to both sides of the equation to get rid of the cube root:

[tex](y + 5)^{3} = x + 2[/tex]

x = [tex](y + 5)^{3} -2[/tex]

Substitute [tex]f^{-1} (y) = x[/tex]:

[tex]f^{-1} (y) = (y + 5)^{3} - 2[/tex]

Replace y  with x:

[tex]f^{-1} (x) = (x + 5)^{3} -2[/tex]

Answer: Let's call the length of the brick "l". Then, the width is "l - 4" and the height is "l - 6".

The volume of the brick can be expressed as:

V = l * (l - 4) * (l - 6)

Since each mold holds 576 cubic inches of mud, we can set the volume of the brick equal to 576 and solve for l:

l * (l - 4) * (l - 6) = 576

Expanding and simplifying the left side of the equation, we get:

l^3 - 10l^2 + 24l - 576 = 0

This is a cubic equation, and finding the exact value for l can be difficult. However, we can use numerical methods, such as the bisection method or Newton's method, to find an approximate value.

Step-by-step explanation: