Continue the pattern: 7, 13, 19 ; hint; the next five numbers are not 25, 31, 37, 43, & 49

How many different ways can you make change for $.50 using only nickels, dimes, and quarters?

Girardo is using the model below to solve the equation . girardo uses the following steps: step 1 add 4 negative x-tiles to both sides step 2 add 1 negative unit tile to both sides step 3 the solution is which step could be adjusted so that gerardo's final step results in a positive x-value? in step 1, he should have added 4 positive x-tiles to both sides. in step 1, he should have added 3 negative x-tiles to both sides. in step 2, he should have added 4 negative unit tiles to both sides. in step 2, he should have added 1 positive unit tile to both sides.

What happens to the area as the sliders are adjusted? what do you think the formula for the area of a triangle is divided by 2?