Answer
24 quarts of green paint should be mixed with 4 cups of black paint.
That is (96 cups)
Step by step explanation
Jasper Green mix 4 quarts of green paint with 2/3 cups of black paint.
Let's convert 4 quarts into cups.
1 quart = 4 cups
4 quarts = 16 cups
Here mix 16 cups of green paint with 2/3 cups of black paint.
Let's use the proportion
Green paint Black paint
16 2/3
x 4
16/x =2/3 divided by 4
Cross multiplying, we get
16*4 = 2/3 x
64 = 2/3 x
x = 64/(2/3)
x = 64 * 3/2
x = 192/2
x = 96 cups
96 cups of green paint should be mixed with 4 cups of black paint.
We can covert 96 cups into quarts by dividing by 4
96/4 = 24 quarts
24 quarts of green paint should be mixed with 4 cups of black paint.
Thank you.
I’d say that it’s definitely random choice for the squares, pentagons, and hexagons. But, if we are looking at how common it would be between the 3 of them, then I would say that it would be one of the hexagons, because there are more hexagons than any of the other shapes in the bag.
They are identical lines so they have infinity pairs
The answer to this question would be: 85/99
In this question, Suzan is taking 8 marble from a bag containing 4 red marbles, 4 green ones, 2 white ones, and 2 purple ones. The total marble in the bag should be: 4+4+2+2= 12. The question is how much the probability to get <4 red marble. In this question, the green, white and purple is not specified so you can join them into not red group. It will be easier to find the probability of "have all the red one" which mean Suzan take 4 red marble and 4 not-red marble<span>
Ways to take 8 marble out of 12=12C5= 12!/4!8!= </span>495
Ways to take 4 red marble out of 4= 4C4= 1
Ways to take 4 not red marble out of 8= 8C4= 8!/4!4!= 70
Probability to <span>have all the red ones= 1*70/495= 14/99
</span>Then the probability does not have all the red ones= 99/99 - 14/99= 85/99