A fabric store sells two types of ribbon. One customer buys 3 rolls of the satin ribbon and had a total of 120 yards of ribbon. Another customer buys 2 rolls of lace ribbon and 4 rolls of the satin ribbon and has a total of 160 yards of ribbon. How many yards are on one rolls and one roll of satin ribbon?

i.e. the points are closely related to the line.

The magnitude of the negative and positive residual values must be same.

( i.e. Not all point could lie above the line and not all points could lie below the line )

( In graph A most of the points lie below the line.

Hence, Graph A is not the correct answer.

In graph  most of the points lie above the line.

Hence, Graph C could not be the best model.

In graph D most of the points lie above the line and hence it could not be the best model)

whereas in Graph B there are equal number of points above and below the line.

These expressions satisfy the criteria for being polynomials based on their structure and components.

[tex]\( 20x^2y \)[/tex]

[tex]\( 20x^2 \)[/tex]

[tex]\( 20x^2 + y \)[/tex]

Let's analyze each expression:

1. [tex]20x^2y[/tex]

This expression can be rewritten as [tex]\( 20x^2y \).[/tex]

It consists of variables [tex]\( x \)[/tex] and [tex]\( y \)[/tex], coefficients ([tex]20[/tex]), and exponents ([tex]2[/tex] on [tex]\( x \))[/tex]

It involves multiplication and addition (implied by the terms).

Conclusion: This expression is a polynomial.

2. [tex]20x^2[/tex]

This expression can be rewritten as [tex]\( 20x^2 \)[/tex].

It consists of variable [tex]\( x \)[/tex], coefficient ([tex]20[/tex]), and exponent ([tex]2[/tex]).

It involves multiplication and addition (implied by the term).

Conclusion: This expression is a polynomial.

3. [tex]20x^2+ y[/tex]

This expression consists of two terms: [tex]\( 20x^2 \)[/tex] and [tex]\( y \)[/tex]

[tex]\( 20x^2 \)[/tex] is a polynomial (as identified above).

[tex]\( y \)[/tex] is also a polynomial (since it can be seen as [tex]\( 1y^1 \)[/tex], where the coefficient is [tex]1[/tex] and the exponent is [tex]1[/tex]).

The expression involves addition and multiplication.

Conclusion: This expression is a polynomial.

4. [tex]20x^2+y^{12[/tex]

This expression is not standard notation and appears to be incorrectly formatted:

It lacks clear separation between terms.

It combines numeric digits directly without appropriate variables and exponents.

Conclusion: This expression is not a polynomial.

Answer:

The circle graph that represents Sally's data in the attahed figure

Step-by-step explanation:

we know that

The color blue represent [tex]25\%[/tex]------> Is a quarter of circle

The color yellow plus the color green represent [tex]10\%+15\%=25\%[/tex] -----> Is a quarter of circle

The color red represent [tex]100\%-50\%=50\%[/tex]------> Is a half circle

therefore

The answer in the attached figure

Final answer:

You can tell that the first digit of the quotient of 2,874 divided by 3 is in the hundreds place by using estimation and recognizing that 287 (the first three digits) is greater than 3 multiplied by 100, thus ensuring the quotient reaches the hundreds place.

Explanation:

To determine if the first digit of the quotient of 2,874 divided by 3 is in the hundreds place before actually dividing, we can use an estimation technique. Estimation helps us to predict the placement of the quotient's digits without doing the full calculation. For the divisor 3 to produce a number in the hundreds place, it must be able to go into the first three digits of the dividend (here, 2,874).

We look at the thousands and hundreds places of the dividend. Since the number 2,874 has a 2 in the thousands place, we know 3 cannot be divided into 2 to give us a number in the hundreds place. But when we include the next digit in the hundreds place, we have 287, which is greater than 3 imes 100. Therefore, we can say that 3 will go into 287 at least 100 times, making the first digit of the quotient in the hundreds place.

This estimation is further validated by the recognition that the number in the hundreds place of 2,874 (which is 8) is more than twice 3, and therefore, dividing it by 3 will definitely yield a number greater than 100 but less than 1,000.

Final answer:

Jerry used 2 lives to beat the 1st world, determined by dividing the 10 lives used for the 2nd world by 5.

Explanation:

Jerry used 10 lives to beat the 2nd world and it took him 5 times as many lives as it did to beat the 1st world. To find out how many lives it took him to beat the 1st world, we need to divide the number of lives used for the 2nd world by 5.

Let x represent the number of lives Jerry used to beat the 1st world. The equation based on the given information is:

5 * x = 10

Now, we solve for x:

x = 10 / 5

x = 2 lives

Therefore, Jerry used 2 lives to beat the 1st world.

The rectangular quilt has length 7 feet and width as 5 feet.

In order to find the perimeter, we have this formula:

[tex] P = 2(l+w) [/tex]

Plugging these values in the formula:

[tex] P = 2(7+5) [/tex]

Perimeter = 24 feet.

So 24 feet of lace are needed to cover the edges of the quilt.

Answer:The scale factor is  \frac{1}{5}

Step-by-step explanation:

Solving the system of linear equations, we found that there are 12 hardcover books and 33 paperback books, making the value that could replace 'x' is 12.

The question involves solving a system of linear equations to find the number of hardcover and paperback versions of a book that together weigh 249 ounces. Since the hardcover version weighs 7 ounces and the paperback weighs 5 ounces, we can create two equations based on the given information. If we let x represent the number of hardcover books and y represent the number of paperback books, the equations would be:

x + y = 45 (since there are 45 copies in total)

7x + 5y = 249 (since the total weight is 249 ounces)

Solving this system, we can multiply the first equation by 5, which gives us 5x + 5y = 225, and subtract this from the second equation to find the value of x. This yields 2x = 24, so x = 12. Therefore, there are 12 hardcover books and the rest are paperbacks. To find the number of paperbacks, we substitute x back into the first equation and get 12 + y = 45, which means y = 33. Hence, the number that could replace x in the table is 12.

Answer:

data displayed in a line graph represents change over time

Step-by-step explanation:

and example could be effects of different soil on the same kind of plant over a week

There were 50 adult tickets and 20 children's tickets sold.

To determine the number of adult and children's concert tickets sold, we use a system of equations: x + y = 70 (total tickets) and 9x + 5y = 550 (total revenue). Solving these, we find 50 adult tickets and 20 children's tickets were sold.

To find the number of adult and children's concert tickets sold, given the total revenue and the price of each ticket, we can set up a system of linear equations. Let's define x as the number of adult tickets and y as the number of children's tickets. We are given that:

Now we have the following linear equations:

We can solve this system using either the substitution or elimination method. For simplicity, we'll use the elimination method.

Multiply the first equation by 5 to match the coefficient of y in the second equation:

Now subtract the new equation from the second equation given:

Using the value of x in the first equation, we find y:

Therefore, there were 50 adult tickets and 20 children's tickets sold.

Answer:

d=2(13)

Step-by-step explanation: