Samantha had to add this group of numbers (47 + 56 + 53), but she wanted to add them as quickly and as easily as possible. Here is how she decided to add the numbers: 47 + 56 + 53 = (47 + 53) + 56 = 100 + 56 = 156.

Which number property allowed her to add the numbers in this way?

the Commutative Property of Addition
the Associative Property of Addition
the Identity Property of Addition

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)

3100

step-by-step explanation: