Answer:
2/21
Step-by-step explanation:
The question is badly formatted so cannot match the answer choice
Total number of tiles = 4 + 5 + 6 = 15
P(A) = P(drawing a black tile from 15 tiles) = 4/15
After event A, there are 14 tiles left : 3 black, + 5 white + 6 blue
P(B/A) = P(drawing white tile after a black tile has been drawn) = 5/14
P(A and B) = P(A).P(B/A) = 4/15 x 5/14 = 2/21
Note that P(B) = 5/15 since we are talking about independently drawing a white tile from the original stack of tiles
Answer: A. A=(1000-2w)*w B. 250 feet
C. 125 000 square feet
Step-by-step explanation:
The area of rectangular is A=l*w (1)
From another hand the length of the fence is 2*w+l=1000 (2)
L is not multiplied by 2, because the opposite side of the l is the barn,- we don't need in fence on that side.
Express l from (2):
l=1000-2w
Substitude l in (1) by 1000-2w
A=(1000-2w)*w (3) ( Part A. is done !)
Part B.
To find the width w (Wmax) that corresponds to max of area A we have to dind the roots of equation (1000-2w)w=0 ( we get it from (3))
w1=0 1000-2*w2=0
w2=500
Wmax= (w1+w2)/2=(0+500)/2=250 feet
The width that maximize area A is Wmax=250 feet
Part C. Using (3) and the value of Wmax=250 we can write the following:
A(Wmax)=250*(1000-2*250)=250*500=125 000 square feets
The proportion
peanuts : raisins : chocolate chips = 4 : 6 : 2
tells you that peanuts make up
4/(4+6+2) = 1/3
of the total quantity of the mix.
The quantity of peanuts required is (1/3)*(48 ounces) = 16 ounces (or 1 pound).
_____
In the 48 ounces of mix, 1 part = 4 ounces.
<span>3(x-4)= -5
Multiply 3 by x and -4
3x-12= -5
Add 12 to both sides
3x= 7
Divide 3 on both sides
Final Answer: 7/3 or 2 1/3
</span>
The area is 2,772 feet
Hope this helps! Good luck on your homework!!!
