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from  30 % full    means  70% empty

from 20% empty to 70% empty = 50% = 27 gallons

100% would be   2 x 27 = 54 gallons

Linearly means we can just get the average per year and then multiply by the number of years...

from 1960 to 1996 is 36 years

450 000 to 500     is a drop of 449500 cases

-449 500 / 36 = - 12486.11 cases per year

from 1960 to 1987  is 27 years

450 000  -  27 yr  * 12486.11 cases/year = 112875 cases

That is great :)

xy = z 2 + 3     can you clarify this part????

sqrt 5³      does not work

        6

        7

        8     does not

        9     works    9^3 =     729       sqrt 729 = 27

h(x) = 4x^3 + 1     h(-1) will be:

           4(-1)³ +1 = -3

g(x) = 2x^2 - 3      g(-3)  will be:

          2 (-3)²-3 = 15

1st card spape is 13 out of 52     now there is 51 cards left   (and only 12 spades)

2nd card hearts is 13 out of 51   now there is 50 cards left

3rd card spade is  12 out of 50

13/52  *  13/51  *  12/50 =   13/850

Perimeter of 12 cm means each side  is 3

volume would be    3 x 3 x 3 = 27 cm³

13/850

The probability that the first card is spades is . After this card is chosen, there are 51 cards, 13 of which are hearts, so the probability the next card is hearts is . Finally, of the 50 remaining cards, 12 are spades, so the probability the last card is also spades is . Hence, our overall probability is
 

I'm not sure if I'm understanding your question correctly. From my understanding, it's asking what same numbers add to 6. I don't know if that's right, but I came up with 3. I don't think there's a 4th one unless it's a decimal.

2+2+2

3+3

1+1+1+1+1+1

The anwer is 16 for www. beastacacdemy.com

5   9   17   33   65   129

out of 2 3 3 5    obviously the '5' would get the largest portion

5   out of (2+3+3+5)   =  5 out of 13    or  5/13 of the 26000       5/13 x 26000 = $ 10 000

x needs to be between   -2  and -4 inclusive

how about      (  -4  + 2)   /  -4 = 1/2

7777777 , 7778777 , 7779777 , 7787877 , 7788877 , 7789877 , 7797977 , 7798977 , 7799977 , 7877787 , 7878787 , 7879787 , 7887887 , 7888887 , 7889887 , 7897987 , 7898987 , 7899987 , 7977797 , 7978797 , 7979797 , 7987897 , 7988897 , 7989897 , 7997997 , 7998997 , 7999997 , 8777778 , 8778778 , 8779778 , 8787878 , 8788878 , 8789878 , 8797978 , 8798978 , 8799978 , 8877788 , 8878788 , 8879788 , 8887888 , 8888888 , 8889888 , 8897988 , 8898988 , 8899988 , 8977798 , 8978798 , 8979798 , 8987898 , 8988898 , 8989898 , 8997998 , 8998998 , 8999998 , 9777779 , 9778779 , 9779779 , 9787879 , 9788879 , 9789879 , 9797979 , 9798979 , 9799979 , 9877789 , 9878789 , 9879789 , 9887889 , 9888889 , 9889889 , 9897989 , 9898989 , 9899989 , 9977799 , 9978799 , 9979799 , 9987899 , 9988899 , 9989899 , 9997999 , 9998999 , 9999999 , Total =  81 such numbers.

Consecutive integers and a

2 a    -      3(a+1) = -23

2a - 3a -3 = -23

-a = -20

a = 20                         b = 21

x^2 =48 + 2x

x^2-2x-48=0

(x-8)(x+6)=0     x = -6 or +8  

Why was the -4 changed to a 4?

Thank you!

I got all the way up to the same part you did for the first question, but could you help me calculate it if possible?? Just asking it's fine if you can't.

Angle B = 180 - 61-43 = 76^o

Law of Sines      says      8 is to sin 76   as    BC is to sin 61^o

8/sin 76   =  BC/sin61

sin 61  *  8 / sin76 = BC = 7.21

Probability of getting two black balls:  4/8 x 3/7  =  12/56

Probability of getting the first ball to be black and the second ball to be white:  4/8 x 4/7  =  16/56

Now, put back the white ball and draw; the probability of getting a black ball on this draw is 3/7.

Probability of getting two white balls:  4/8 x 3/7  =  12/56

Now, put back the two white balls and draw; the probability of getting two white balls:  4/8 x 2/7.

To find the total probability, we need to add these answers:  4/8 x 3/7 + 4/8 x 4/7 x 3/7 + 4/8 x 3/7 x 4/8 x 2/7 = 18/49.