Juanita wants to model the equation 3 x + 2 = negative x + 6. She begins with the tiles below. 3 x tiles and 2 positive 1 tiles = 1 negative x tile How can Juanita complete her model? Put 4 yellow unit tiles on the left side of the equal sign. Put 4 yellow unit tiles on the right side of the equal sign. Put 6 green x-tiles on the right side of the equal sign. Put 6 yellow unit tiles on the right side of the equal sign.

Solve the problem by making up an equation. a child is 12 years old, and his father is 32 years older. in how many years will the age of the father be 3 times the age of the child?

1. there are 25 students who started computer programming in elementary school and 25 students who started computer programming in middle school. the first group had a mean final project grade of 95% and the second group had a mean final project grade of 92%. the line plot shows the differences after 10 rerandomizations. determine whether the difference in the means of the two groups is significant based on the line plot. explain your answer.

One side of a rectangle is 7 feet shorter than seven times the other side. find the length of the shorter side if we also know that the perimeter of the rectangle is 306 feet.