Ruben bought 2 large popcorn buckets and 4 small drinks for $20. Lucia bought 2 large popcorn buckets and 2 small drinks for $14. How much did the large popcorn
cost? The small drink?
Write a system of equations to model this situation where x = the cost of a large
popcorn and y= the cost of a small drink.
O x +y = 34
20 = x + 2y
Oy= 2x + 20
y = 2x + 14
2x + 4y = 20
2x+2y = 14
O x + y = 20
4x + y = 14

Identify the number 127 as a rational or irrational. explain

George writes the mixed number as sum and uses the distributive property 1/2.-2/5=1/2-2+2/5=1/2

When constructing a perpendicular line through a point off a line, how can you verify that the lines constructed are perpendicular? check the angles used in the construction with a straightedge to ensure consistency. check the distance along the lines at several places with a compass to ensure they are the same length. check the intersecting lines with the corner of a piece of paper to ensure the lines create 90° angles. check the distance between the lines at several places with a compass to ensure they are equidistant. question 2(multiple choice worth 1 points) (01.03 lc) which of the following steps is included in the construction of a perpendicular line through a point on a line? connect arcs that are above and below the given line with a straightedge. connect arcs that are above the original line with a straightedge. create arcs on either side of a point that is off the given line. create a copied angle by using the first two lines as the original angle.