Olivia is making greeting cards, which she will sell by the box at an arts fair. She paid $24 for a booth at the fair, and the materials for each box of cards cost $2. She will sell the cards for $6 per box of cards. At some point, she will sell enough cards so that her sales cover her expenditures. How much will the sales and expenditures be? How many cards will that take?

Answer:

2.24$

Step-by-step explanation:

The factoring of the equation is 6x(x + 8). The process of factoring involves determining what to multiply to produce an expression.

The process of factoring involves determining what to multiply to produce an expression.

It resembles "dividing" an expression into several smaller expressions.

There are three steps involved in factoring completely:

A GCF should ideally be factored out of the expression.

As much as you can, factor a trinomial.

Put as many factors as you can into a Difference Between Two Squares.

The Grouping method, the difference in two squares, and the sum or difference in cubes are the four primary methods of factoring. The Greatest Common Factor (GCF) is another.

It should be noted that the given expression must be factored based on the provided information.

The expression given is:

6x² + 48x

The common factor is 6x

6x(x + 8)

Therefore, the factoring of the equation is 6x(x + 8).

To learn more about factoring refer

https://brainly.com/question/28322819

#SPJ1

On solving thr provided question, by help of arithmetic progression, we got to know that a10 = 207

There are two approaches to define arithmetic progressions (AP): The difference between any two successive terms in an arithmetic sequence must always be equal, and it is sometimes referred to as a series in which all terms except the first are created by adding a predetermined number to the preceding term.

9,15,25..............

15-9 = 6

25-15 = 10

a4 - 25 = 14 => a4 = 39

frequently referred to as a series in which all terms save the first are formed by adding a predefined number to the preceding term since the difference between any two succeeding terms in the sequence must always be equal.

a5-39 = 18 => a5 = 57

a6-57 = 22 => a6 79

...

...

...

...

...

a10 - 169 = 38 => a10 = 207

To know more about arithmetic progression visit:

brainly.com/question/16947807

#SPJ1

Canvas cannot track tabs.

While Canvas cannot track whether students switch to new tabs in their web browsers during a quiz or test, it can track when a student completes a quiz and navigates to a different page on the website rather than the one they were previously on. However, the general public cannot access this data.

In a perfect world, Canvas wouldn't be able to tell if a student opened new tabs in a browser or a new program or online browser while taking a quiz or test. However, Canvas will watch over and restrict student internet activity if the exam is proctored.

To learn more about track here:

https://brainly.com/question/1045947

#SPJ4

The brand-name television's measurements are 32 inches by 64 inches, so answer (C) is accurate.

Given: The generic version was created based on the brand name and was three eighths the size of the brand name.

12 inches by 24 inches is the size of the standard television set.

Allowing for x by y as the brand name's measurements

12 inches divided by three eighths

8/3 x = 12

x = 12 * 8 / 3 = 32 inch

and y=3/8 inches equals 24 inches

8/3 y = 24

y = 24 * 8 / 3 = 64 inch

As a result, the brand-name television has the following measurements: 32 by 64 inches.

Therefore, choice (C) is the appropriate response.

To learn more about television's measurements Refer To:

brainly.com/question/30041851

#SPJ4

The complete question is: Jason considered two similar televisions at a local electronics store. The generic version was based on the brand name and was  the size of the brand name. If the generic television set is 12 inches by 24 inches, what are the dimensions of the brand name television?

a) 7.5 inches by 15 inches

b) 28 inches by 56 inches

c) 32 inches by 64 inches

d) 4.5 inches by 9 inches

The probability that all three are female is  0.281

2030⋅1929⋅18282030⋅1929⋅1828 = 0.281

To learn more about probability refer to:

https://brainly.com/question/25688842

#SPJ4

well, since the given line is a horizontal line, a perpendicular line to that will just be, yeap, you guessed it, a vertical line, Check the picture below.

The domain of the function y = √ x is x ≥ 0.

The domain of a function is the set of all input values for which the function is defined. The square root function, represented by √, is only defined for non-negative real numbers. This is because the square root of any negative number is not a real number, it becomes an imaginary number. Therefore, the domain of √ x is the set of all real numbers greater than or equal to zero.

This means that any input value less than zero would result in an undefined output for the square root function. In this case, since the square root is the only function, the domain of the function y = √ x is x ≥ 0. This means that the function can only take non-negative real numbers as input and will output a non-negative number.

Learn more about Domain of a Function here:

https://brainly.com/question/1369616

#SPJ4

Answer:

Estimation: 300 Billion times bigger

Actual: 290 Billion times bigger

Step-by-step explanation:

Lets group the coefficients together and the exponents together.

[tex](\frac{6.1}{2.1})(\frac{10^7}{10^{-4} })[/tex]

We can round 6.1 to 6.

We can round 2.1 to 2.

[tex](\frac{6}{2})(\frac{10^7}{10^{-4} })[/tex]

[tex](3)(\frac{10^7}{10^{-4} })[/tex]

Subtract the exponent from the denominator from the exponent of the numerator.

[tex](3)(10^{7-4*1} )[/tex]

[tex](3)(10^{7+4} )[/tex]

[tex](3)(10^{11} )[/tex]

[tex]3*10^{11}[/tex]

[tex]10^{11}[/tex] is 100 billion.

3 times 100 billion is 300 billion.

Answer:

Step-by-step explanation:

from the form we know, 10/2=15/3=45/9=5.so we need select the second choice, the number of group 50 dollar is 50/5=10

the anwser is second choice, fill 10 in blank.

if u like this, pls 5 stars. tku!

The system of equations is inconsistent for any value of k.

If we subtract the first equation from the second one, we get 0 = 12x, which is inconsistent no matter what value k is. This means that the system of equations has no solution and is therefore inconsistent.

The system of equations KX + 3y = K + 2 and 12x + Ky = K is inconsistent for any value of k. This is because when we subtract the first equation from the second one, we get 0 = 12x, which is an inconsistent equation no matter what value k is. This means that the system of equations has no solution and is therefore inconsistent. No matter what value we assign to k, the equations cannot be solved simultaneously and so the system of equations is inconsistent.

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4

Answer:

first function

Step-by-step explanation:

there is a common difference between consecutive terms , that is

13 - 10 = 16 - 13 = 19 - 16 = 22 - 19 = 3

this indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 10 and d = 3 , then

[tex]a_{n}[/tex] = 10 + 3(n - 1) = 10 + 3n - 3 = 7 + 3n

We can use the sin (), and cos () functions in C programming to find the sine and cosine values of any problem.

sin( ), cos( ) and tan( ) functions in C are used to find sine, cosine and tangent values.

sinh( ), cosh( ) and tanh( ) functions are used to find hyperbolic sine, cosine and tangent values.

exp( ) function is used to find the exponential “e” to the xth power. log( ) function is used to find the natural logarithm and the log10( ) function is used to find the base 10 logarithms.

The” math.h” header file supports all these functions in the C language.

To know more about programming, here

https://brainly.com/question/14368396

#SPJ4

Perimeter is the total length of all sides of a shape, also known as the circumference.

Perimeter is a measure of the distance around a two-dimensional shape. It is the sum of the lengths of all the sides of a shape. Perimeter is also known as the circumference. When calculating perimeter, you measure the length of each side of the shape and add them together. For example, the perimeter of a square with sides of 4 inches each would be 16 inches. Perimeter is an important concept in geometry, and it can be used to calculate area, the space within a shape or figure. It can also be used to calculate the distance between two points. Knowing the perimeter of a shape can help you solve many problems in math, design, and science.

Learn more about perimeter here

https://brainly.com/question/6465134

#SPJ4

Answer:

25

Step-by-step explanation:

let there be x questions on the test

80% of x = 20

80% * x = 20

80% = 0.8

0.8 * x = 20

divide both sides by 0.8 to isolate x

x = 20/0.8 = 25

The side of the cube, the faces will be 13 cm.

What is cube?

The term "cube" refers to a solid three-dimensional shape in mathematics or geometry that has six square faces, eight vertices, and twelve edges. It is also asserted to be a conventional hexahedron. You must be familiar with the three-by-three Rubik's cube, which is the most prevalent example in daily life and can help to increase brain capacity. Similar to this, you'll run into a lot of real-world examples, like 6 sided dice, etc. Solid geometry is the study of three-dimensional objects with surface areas and volumes. Cube, cylinder, cone, and sphere are some of the other solid shapes. Here, we'll talk about its definition, attributes, and relevance to mathematics.

Sarah has a cube with a volume of 2,197 cubic cm.

side is ∛(2197) =13 cm

So the side of the cube will be 13 cm.

Hence, the side of the cube, the faces will be 13 cm.

Learn more about cube, by the following link

https://brainly.com/question/1972490

#SPJ4

Therefore, the slope of the line passing through the points (-8, 5) and (7,0) is -1/3.

The slope of the line passing through the points (-8, 5) and (7,0) can be found by using the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.

To find the slope (m), we can use the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

So, using the coordinates (-8, 5) and (7,0), we have:

m = (0 - 5) / (7 - (-8)) = -5 / 15 = -1/3

Therefore, the slope of the line passing through the points (-8, 5) and (7,0) is -1/3.

To learn more about slope of the line

visit; brainly.com/question/16180119

#SPJ4

After dilation, the co-ordinate of point A will be (-4,4) while B will be (2,4) and of C will be (-2,0).

The distance between the point of dilation and the point you are dilating must be multiplied by three if the point you are dilating is directly above the point of dilation and you are dilating by 3. You inserted your new point there.

The x-value of each point will be multiplied by 2 to enlarge the image by a factor of two. The x and y values of each point will be multiplied by 2 to enlarge the figure by a factor of 2.

To know more about dilation visit:-

brainly.com/question/13176891

#SPJ1

When the four -  digit numeral is divisible by nine is given by 3AA1 the digit A represents 7

A number itself is divisible by 9 if its digit's sum is also divisible by 9.

In mathematics, multiples are the results of multiplying an integer by a given number. number divisible by 9 is multiple of 9

using the above property we have that

3 + A + A + 1 = 9, OR 18, OR 27

4 +2A = 9, OR 18, OR 27

assuming 18

2A = 18 - 4

2A = 14

A = 7

hence the number is 3771

Learn more about division at:

https://brainly.com/question/25289437

#SPJ1

The admission fee for the zoo and for the state park is given as follows:

For the zoo, the costs are divided as follows:

20 students are going to the zoo, hence the total cost spent at the zoo is given as follows:

20(2x + 3.25) = 40x + 65.

For the state park, the costs are divided as follows:

25 students are going to the state park, hence the total cost spent at the state park is given as follows:

25(x + 6.50) = 25x + 162.50.

The costs spent at both parks are the same, hence the value of x can be obtained as follows:

40x + 65 = 25x + 162.5

15x = 97.5

x = 97.5/15

x = 6.5.

Hence the admission fees are given as follows:

The table is given by the image presented at the end of the answer.

More can be learned about equations at https://brainly.com/question/24808124

#SPJ1

To the nearest percent, the percent by which the population grew from 2010 to 2020 is; 2%

Percentage increase is defined as the difference between the final value and the initial value, expressed in the form of a percentage.

Now, we are told that;

Initial Population in 2010 = 59000

From 2010 to 2015, the population grew by 7.3%. Thus;

Population in 2015 = 1.073 * 59000 = 63307

Now, we are told that from 2015 to 2020, it fell by 5.3%. Thus;

Population in 2020 = 63307 * (100% - 5.3%)

= 59952

Thus, percentage increase from 2010 to 2020 = (59952 - 59000)/59000) * 100% = 1.61% ≈ 2%

Read more about Percentage Growth at; https://brainly.com/question/28398580

#SPJ1

Solving the question asked, we can say: If you win tonight, your odds of winning the next game are [tex]$58.33\%$[/tex]. After that, if you lose, you have a [tex]$38.88 \%$[/tex] chance of winning the game.

Probability theory is a branch of mathematics that measures the probability that an event or statement is true. The probability of an event is a number between 0 and 1, with approximately 0 indicating that the event is unlikely and 1 indicating that it is certain. Probability is a numerical representation of the disease that a particular event will occur. Another way to express probability is as a percentage from 0% to 100% or 0 to 1. Proportion of occurrences in the complete set of equally likely possibilities leading to a particular occurrence compared to the total number of outcomes.

[tex]$$\begin{aligned}& (2 / 3+1 / 2) / 2=X \\& 1,666 / 2=X \\& 0.58333=X \\& ((2 / 3+1 / 2 / 2) x 2 / 3=X \\& 0.58333 x 0.666=X .3888=X\end{aligned}$$[/tex]

To know more about probability visit:

brainly.com/question/11234923

#SPJ4

The area of the frame is 196.73 x²

What is area ?

The size of a patch on a surface is determined by its area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies.

Area is a phrase used to describe how much room a 2D form or surface occupies. Area is measured in square units, such as cm2 or m2. The area of a form is computed by dividing its length by its breadth.

(15x)^2 = 225x^2

Area of the frame

= π (3x)²

= 28.27 x²

Metal area surrounding the frame

225 x² - 28.27 x²

= 196.73 x²

To learn more about area from the given link

https://brainly.com/question/25292087

#SPJ4

An irrational statement is a kind of genuine number that can't be addressed as a basic portion. It can't be communicated in that frame of mind of a proportion. If N is silly, N isn't equivalent to p/q where p and q are numbers and q isn't equivalent to 0. Model: √2, √3, √5, √11, √21, π(Pi) are nonsensical.

A number can't be communicated as a portion of any numbers and. . Unreasonable numbers have decimal developments that neither end nor become occasional. Each supernatural number is irrational.

If a square root is not an ideal square, then it is viewed as an unreasonable number. These numbers can't be composed as a portion because the decimal doesn't end (non-terminating) and doesn't rehash an example (non-repeating).

Learn more about irrational statement:

https://brainly.com/question/29204809

#SPJ4

Yes, 5x - 3y = 7 is a linear equation in two variables (x and y)

A linear equation in two variables is an equation in the form ax + by = c, where a, b, and c are real numbers and a and b are not both 0. In this equation, 5x 3y, the coefficients of the variables are 5 and 3, respectively, so a = 5 and b = 3. Therefore, 5x 3y is a linear equation in two variables.

A linear equation in two variables (x and y) is an equation that can be written in the form ax + by = c, where a and b are real numbers and a and b are not both 0. This means that any equation that has two variables with real coefficients will be a linear equation. For example, 5x 3y is a linear equation in two variables because the coefficients of the variables x and y are 5 and 3, respectively. Therefore, 5x 3y is a linear equation in two variables.

the complete question is : Is 5x-3y=7 a linear equation in one variable?

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4

Answer:

A = 80 cm²

Step-by-step explanation:

the area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

here b = 4 and h = 2 , then

A = 4 × 2 = 8 cm²

there are a total of 10 tiles required ( 5 black and 5 white ) , then total area is

A = 10 × 8 cm² = 80 cm²

Answer:

Read below

Step-by-step explanation:

Step 1: Multiply 2 by x: 2x

Step 2: Add 1 to 2x: 2x + 1

Step 3: Substitute x with 7: 2(7) + 1

Step 4: Multiply 2 by 7: 14 + 1

Step 5: Add 1 to 14: 14 + 1 = 15

Answer:

483000

Step-by-step explanation:

To write a linear expression in standard form, rearrange the terms in alphabetical order.

Answer:

48300000

We can write the above number as

4.83 x 10000000

=4.83 x 10 ^7

Yes, you can make a triangle with three different length sides.

1. Draw three lines of different lengths on a piece of paper.

2. Connect the ends of the lines to form a triangle.

3. The triangle will have three different length sides. The lengths of the sides depend on the lengths of the three lines you drew.

4. To make sure the triangle is valid, use the triangle inequality theorem. This theorem states that the sum of any two sides of a triangle must be greater than the third side.

5. Measure each side of the triangle with a ruler and add them together.

6. Compare the sum of the two sides to the third side. If they are not equal or greater, adjust the lines to create a valid triangle.

7. Once the triangle is valid, it will be a triangle with three different length sides.

Learn more about triangle here

https://brainly.com/question/2773823

#SPJ4

Answer:

Step-by-step explanation:

so since it’s traveling 9mi/m you need to devide 216 by the rate of 9mi/m to find how long it takes.

216/9=24 so it will take 24 minutes!

Answer:1,944 minutes

Step-by-step explanation:

if the question is a plane is traveling 9 miles per minute how much time is needed to travel 216 miles you need it is clear that you are doing a multiplication problem so multiply that and you get 1,944 minutes

your welcome