Astore sells pencils in small and large boxes. a large box has ten times as many pencils as a small box. mr. adachi buys 5 small boxes and 2 large boxes, for a total of 250 pencils. mr. adachi sets up a system of equations to model this situation. one of the equations is y = 10x. what is the other equation? enter your answer in ax + by = c form, where a and b are whole numbers with no common factor other than 1.

Step-by-step explanation:

Let represent a small box of pencil and represent a large box of pencil.

We were told that "A large box has ten times as many pencils as a small box". This statement gave the equation;

If Mr. Adachi buys 5 small boxes and 2 large boxes, for a total of 250 pencils, then the equation Mr. Adachi set up was;

where and has no common factor other than 1.

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

1/3 + 1/3 ≠ 2/6 because 1/3 alone = 2/6  

step by step explanation:

1/3 + 1/3 = 2/3       2/3=4/6