If the side lengths are all 6 units, then the surface area and volume are the same
surface area = 6*s^2 = 6*6^2 = 216
volume = s^3 = 6^3 = 216
You can find this by solving s^3 = 6s^2 for s to get s = 0 or s = 6. The solution s = 0 is trivial so you can ignore it.
Answer:
-5 =x
Step-by-step explanation:
3^(x-1) = 9^(x+2)
Replace 9 with 3^2
3^(x-1) = 3^2^(x+2)
We know that a power to a power means the powers are multiplied
a^b^c = a^(b*c)
3^(x-1) = 3^(2x+2)
When the bases are the same, the powers have to be the same
x-1 = 2x+4
Subtract x from each side
x-x-1 =2x-x+4
-1 =x+4
Subtract 4 from each side
-1-4 =x+4-4
-1-4 = x
-5 =x
The question can be answered using ratio and proportion.
In 40 minutes, Tracy can rake 4 bags of leaves. In 2 hours (which is equivalent to 120 minutes), how many bag will it be?
Making the equation.
4 : 40 = BAGS : 120
4 x 120 = 40 x BAGS
480 = 40 (BAGS) // Divide both sides by 40
BAGS = 12.
So there will be 12 bags of leaves.
Answer:
should be correct!
Step-by-step explanation:
