Which statement answers this question: casey sells half of his video games. the next day he buys 3 more. he now has 27. how many video games did casey have at the beginning? options: (a). casey had 24 video games.( b) casey had 15 video games.( c) casey had 12 video games( d) casey had 48 video games.

D

Step-by-step explanation:

Casey has some number of video games at the beginning called x. He sells half which is 1/2 x. Then he buys 3 more so 1/2 x + 3. This is equal to his current amount which is 27. So 1/2 x + 3 = 27. Solve for x.

1/2 x + 3 = 27

1/2 x =24

x = 48

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)

i believe the correct answer is option 4.principalities were small territories that were run by russian rulers.

which statement correctly defines principalities in northern asia in the 1200s? principalities were small territories that were run by russian rulers.

hope i could ! : )