3 to the second power = 3^2
3^2 = 3 x 3
3 x 3 = 9
9 is your answer
hope this helps
Answer:
The new volume is 1/343 of the old volume or the ratio of the new volume to the old volume is 1 to 343
Step-by-step explanation:
In this question, we are asked to state the effect of multiplying the radius of a sphere by 1/7 on the volume.
Mathematically, the volume of a sphere V can be calculated using the formula
V = 4/3 * π * r^3
Now multiplying the radius by 1/7, the new radius will be r/7
Thus the new volume here will be
V2 = 4/3 * π * (r/7)^3
V2 = 4/3 * π * (r^3)/343
Thus we can conclude that the value of the volume will be decreased by a factor of 343
Meaning the ratio of the old volume to the new volume will be 1 to 343
Answer:
<u>44 cows and 36 ducks.</u>
Step-by-step explanation:
x is ducks and y is cows.
Assuming both have 1 head each, we can write:
x + y = 80.
Let's assume each x(cow) has 4 legs and each y(duck) has two legs.
Then we can add the numbers of legs:
2x + 4y = 248 legs
Now rearrange x + y = 80 to:
x = 80-y
and substitute:
2x + 4y = 248 legs
2(80-y) + 4y = 248 legs
160 - 2y + 4y = 248 legs
2y = 88 legs
<u>y = 44 [There are 44 cows]</u>
Use this value to find the number of ducks:
x + y = 80
44 + y = 80
<u>y = 36 [There are 36 ducks]</u>
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Check:
Do 44 cows and 36 ducks have a total of 248 legs?
4*44 + 2*36 = 248 ?
176 + 72 = 248?
<u>YES</u>
Answer:
7.53 x 10²
Step-by-step explanation:
10² two time the 10 is 100
Answer:
he can get 12 bowls
Step-by-step explanation:
You have to divide 8% by 100% to get the answer but I rounded down