A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes. Each small box can hold 20 books and each large box can hold 40 books. A total of 13 boxes were sent which can hold 360 books altogether. Graphically solve a system of equations in order to determine the number of small boxes sent, x,x, and the number of large boxes sent, yy.Click twice to plot each line. Click a line to delete it.

Answers

Answer 1

Answer:

Answer:

The Answer is: There are 5 large boxes and 8 small boxes. (The graphical plot will need to be solved using the software).

Step-by-step explanation:

Let xx = small boxes and yy = large boxes:

xx + yy = 13

xx = 13 - yy

The number of small boxes times 20, plus the number of large boxes times 40 is equal to 360:

20xx + 40yy = 360

Substitute the algebraic value of xx, so we only have one variable to consider and solve for yy:

20(13 - yy) + 40yy = 360

260 - 20yy + 40yy = 360

260 + 20yy = 360

20yy = 100

yy = 100 / 20 = 5 large boxes.

Solve for xx:

xx = 13 - yy

xx = 13 - 5 = 8 small boxes.

There are 5 large boxes and 8 small boxes. (The graphical plot will need to be solved using the software).

Proof:

20xx + 40yy = 360

20(8) + 40(5) = 360

160 + 200 = 360

360 = 360

Answer 2

Answer:

Final answer:

To solve the problem graphically, set up a system of equations: x + y = 13 and 20x + 40y = 360. Graph the equations to find the intersection point which represents the solution.

Explanation:

To solve this problem graphically, we can set up a system of equations based on the given information. Let's denote the number of small boxes as x and the number of large boxes as y. From the given information, we can write the following equations:

x + y = 13 (equation 1, representing the total number of boxes)

20x + 40y = 360 (equation 2, representing the total number of books)

To graph these equations, we can plot them on a coordinate plane, where the x-axis represents the number of small boxes (x) and the y-axis represents the number of large boxes (y). The intersection point of these two lines will represent the solution to the system of equations, giving us the values of x and y (the number of small and large boxes sent, respectively).

Learn more about Graphical solution of a system of equations here:

brainly.com/question/29082074

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Answers

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Answer:

Step-by-step explanation:

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Answers

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Answer:

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