What is the value of 1/2 ÷ 1/3? Use pattern blocks to represent and find this value. The yellow hexagon represents 1 whole. Explain your reasoning

Use the parallelogram. It is 1/3 of the pentagon if you split it into 3 even parts. Then use the trapezoid. It is 1/2 of the pentagon. You need to look for how much of the parallelogram (1/3 of total or hexagon) you need to cover 1/2 of the hexagon or a trapezoid.

To help better see the image in your mind, use the picture.

The parallelogram cannot cover the whole entire trapezoid. Leaving a little bit of space. That space is the size of the triangle. Which takes up the space of 1/2 of the parallelogram.

So in total, you need 1 1/2 of the parallelogram to cover the entire trapozoid. And so 1/2divided by 1/3=1 1/2.

answer: i don't understand. what are the options

step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)