Answer:
C
Step-by-step explanation:
(3^5)^2= 59049 divided
(3)^-2 = 0.11111111
531441 = 3^12
Answer:
40b - 4b or 36 b
Step-by-step explanation:
No. of tomatoes in each box = 40
No. of box shipped = b
No. of tomatoes in those b box = b*No. of tomatoes in each box = 40b
No. of tomatoes damaged in each box = 4
No. of box shipped = b
No. of tomatoes damaged in those b box = b*No. of tomatoes damaged in each box = 4b
Thus, total no. of tomatoes that can be sold by store = No. of tomatoes in those b box - No. of tomatoes damaged in those b box = 40b - 4b
Algebraic expression to express the no. of tomatoes that can be sold from those b box is
40b - 4b = 4b(10-1) = 4b(9) = 36b (Answer)
Hello :
<span>3y = x + 6 ...(1)
y – x = 3...(2)
by (2) : y = x+3...(*)
subsct in (1) :
3(x+3) = x+6
3x-x= -9+6
2x= -3
x=-3/2
subsct in (*) : y =-3/2 +3 =3/2</span>
Answer:
-5
Step-by-step explanation:
A.) Since there are no restrictions as to the dimensions of the candle except that their volumes must equal 1 cubic foot and that each must be a cylinder, we have the freedom to decide the candles' dimensions.
I decided to have the candles equal in volume. So, 1 cubic foot divided by 8 gives us 0.125 cubic foot, 216 in cubic inches.
With each candle having a volume of 216 cubic inches, I assign a radius to each: 0.5 in, 1.0 in, 1.5 in, 2.0 in, 2.5 in, 3.0 in, 3.5 in, and 4.0 in. Then, using the formula of the volume of a cylinder, which is:
V=pi(r^2)(h)
we then solve the corresponding height per candle. Let us let the value of pi be 3.14.
Hence, we will have the following heights (expressed to the nearest hundredths) for each of the radius: for
r=2.5 in: h=11.01 in
r=3.0 in: h= 7.64 in
r=3.5 in: h= 5.62 in
r=4.0 in: h= 4.30 in
r=4.5 in: h= 3.40 in
r=5.0 in: h= 2.75 in
r=5.5 in: h= 2.27 in
r=6.0 in: h= 1.91 in
b. each candle should sell for $15.00 each
($20+$100)/8=$15.00
c. yes, because the candles are priced according to the volume of wax used to make them, which in this case, is just the same for all sizes
