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.

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.