Answer: x> 1/2
Step-by-step explanation:
if 2x+1∠ 8x-2
inequality , treat this problem like any other equation
have the unknown(x) in one side, and the values on the other side
2x-8x < -1-2
-6x< -3 we multiply by -1, do not forget if we multiply by -1 the sign will change
6x>3 divide by 3
2x>1
x>1/2
Answer: 192 cubic inches
Step-by-step explanation:
A total of 1,716 selections of the 7 flowers are possible.
Step-by-step explanation:
Step 1:
There are 13 flowers from which Jeanine Baker plans to use 7 of them.
To determine the number of selections that are possible we use combinations.
The formula for combinations is; 
.
Step 2:
In the given formula, n is the total number of options and r is the number of options to be selected.
For this question, 
and 
.
So 
So a total of 1,716 selections are possible.
Alrighty
squaer base so length=width, nice
v=lwh
but in this case, l=w, so replace l with w
V=w²h
and volume is 32000
32000=w²h
the amount of materials is the surface area
note that there is no top
so
SA=LW+2H(L+W)
L=W so
SA=W²+2H(2W)
SA=W²+4HW
alrighty
we gots
SA=W²+4HW and
32000=W²H
we want to minimize the square foottage
get rid of one of the variables
32000=W²H
solve for H
32000/W²=H
subsitute
SA=W²+4WH
SA=W²+4W(32000/W²)
SA=W²+128000/W
take derivitive to find the minimum
dSA/dW=2W-128000/W²
where does it equal 0?
0=2W-1280000/W²
128000/W²=2W
128000=2W³
64000=W³
40=W
so sub back
32000/W²=H
32000/(40)²=H
32000/(1600)=H
20=H
the box is 20cm height and the width and length are 40cm
Answer:
6 cookies
____________________
Christine has 2 MORE than Matt.
2 + 2 = 4(Christine)
4 + 2 = 6(total)
