An easy way is since there are 2 big numbers and 1 small, add the small to the larger
let's add it to the third number
1,000+2,832,783,920=2,832,784,920
now add 20,029,293,848,493 to 2,832,784,920 (use calculator)
basically you add up the1's place with the 1's place, 10's place with the 10's place and so on
1's=3+0=3
10's=9+2=11 or 1 and move 1 up to next place
100's=4+9+1=14 or 4 and move 1 up to next place
1,000's= 8+4+1=13 or 3 and move 1 up to next place
10,000's= 4+8+1=13 or 3 and move 1 up to next place
100,000's= 8+7+1=16 or 6 and move 1 up to next place
1,000,000's= 3+2+1=6
10,000,000= 9+3=12 or 2 and move 1 up to next place
100,000,000=2+8+1=11 or 1 and move 1 up to next place
1,000,000,000= 9+2+1=12 or 2 and move 1 up to next place
therer are no more number on the smaller number so just add the bigger ones at the top with the added 1 so
20,032,126,633,413
Hello,
Answer (1-√5,0) , (1+√5,0)
Indeed,
S=(1,20)
==> y=k*(x-1)²+20
(0,16) is a point of the parabola
==>16=k*(0-1)²+20==>k=-4
Parabola: y=-4(x-1)²+20
if y=0 then -4(x-1)²+20=0==> 4(x-1)²=20=> (x-1)²=5 ==> x=1+√5 or x=1-√5
Answer:
Step-by-step explanation:
Hi Millie.
First we can realize that the number of cubes of each type does not matter, only the ratios between them. We see that if there are x yellow cubes, there are 3x blue cubes. And therefore, there are 5*3x green cubes, or 15x green cubes. This means that the cubes are in a 1:3:15 ratio, or that for every 1 yellow cube, there are 3 blue and 15 green cubes.
Now we can find the probability of picking a yellow cube. Since there are 18 non-yellow cubes for every yellow cube, this means that there is a 1/19 possibility of picking a yellow cube.
Let c=the number of batches for the cookies; b=that for the brownies.
If $P=the profit, then
maximize P=5c+4.5b, subject to the constaints:
3c+4b<=100 (cost)
2c+b<=45 (time)
b,c >=0
The simplest way to find the suitable b & c is
to solve
3c+4b=100
2c+b=45
for b & c
The result is b=13 & c=16
=>
max. p=5(16)+4.5(13)=$138.5
Hope this helps :)
