Dana needs 300 pickets for her colorful picket fence. she wants equal amounts of each of her 4 selected colors. she already has 32 red, 26 green, 9 yellow and no blue. how many more of each color does dana need to buy? if the bulbs cost 25 cents and you get 20% off if you purchase 50 or more of the same color and 30% off if you purchase 60 or more of one color, how much does dana need to spend? show your work.

Dana will have to spend $47.67.

Step-by-step explanation:

Dana needs 300 pickets for her colorful picket fence.

As she needs equal amount for 4 colors, so for each color she will need bulbs

She already has 32 red, 26 yellow, 9 green and no blues. She wants equal amounts of each of her 4 selected colors.

So, additional number of bulbs she needs are :

Red =

Yellow =

Green =

Blue =

Now, cost of 1 bulb = $0.25

You get 20% discount if you purchase 50 or more bulbs of the same color and 30% off if you purchase 60 or more of one color.

Cost for red bulbs = dollars

Cost of yellow bulbs = dollars

Cost of green bulbs = dollars

After 30% off, the price becomes: dollars

Cost of blue bulbs = dollars

After 30% off, the price becomes: dollars

Total cost of all bulbs = dollars

Hence, Dana will have to spend $47.67.

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source: